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Energy & Fuels is published by the American Chemical Society. 1155 Sixteenth Street N.W., Washington, DC 20036

Article

Oxidative Thermal Treatment of Oil Sludge at Low Heating Rates

Je-Lueng Shie, Jyh-Ping Lin, Ching-Yuan Chang, Chao-Hsiung

Wu, Duu-Jong Lee, Chiung-Fen Chang, and Yi-Hung Chen

Energy Fuels, 2004, 18 (5), 1272-1281 • DOI: 10.1021/ef0301811 Downloaded from http://pubs.acs.org on December 11, 2008

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Oxidative Thermal Treatment of Oil Sludge at Low

Heating Rates

Je-Lueng Shie,

Jyh-Ping Lin,

Ching-Yuan Chang,*

,†

Chao-Hsiung Wu,

§

Duu-Jong Lee,

|

Chiung-Fen Chang,

and Yi-Hung Chen

Graduate Institute of Environmental Engineering, National Taiwan University, Taipei 106, Taiwan, Department of Environmental Engineering, Lan-Yang Institute of Technology, Tou-Cheng, I-Lan 261, Taiwan, Department of Environmental Engineering, Da-Yeh University, Chang-Hwa 515, Taiwan, and Department of Chemical Engineering,

National Taiwan University, Taipei 106, Taiwan

Received November 19, 2003. Revised Manuscript Received May 31, 2004

Oil sludge is one of the major industrial wastes that needs to be treated for the refinery or petrochemical industry. Efforts have been made to convert the oil sludge into available resources such as lower molecular weight organic compounds and carbonaceous residues. In this study, the oil sludge from the oil storage tank of a typical petroleum refinery plant located in northern Taiwan is used as the raw material of thermal treatment using oxygen-containing gas. The treatment of oil sludge is conducted by the use of carrier gas with different concentrations of oxygen (4.83, 8.62, 12.35, and 20.95 vol % O2) in the temperature range of 380-1123 K and at

various constant heating rates of 5.2, 12.8, and 21.8 K/min. The significant reactions occur in the range 415-931 K. Below a temperature of 613 K, pyrolysis reactions are predominant. Including the pyrolysis reactions, the overall oxidative thermal decomposition of oil sludge can be adequately described by a five-parallel-reaction model. The activation energies (E), reaction orders (n for residual solid and m for oxygen) and frequency factors (A) of corresponding five-parallel-reaction model for oil sludge are 69.93, 93.79, 123.22, 208.67, and 120.87 kJ/mol of E, 2.94, 2.42, 1.24, 2.91, and 1.36 of n, 0, 0, 0, 2, and 0.32 of m, and 7.69× 105, 9.09× 106, 2.95×

108, 1.66× 1017, and 9.45× 1071/min of A, respectively. The proposed reaction kinetic equations

can provide useful information for the proper design of an oxidative thermal processing system for the treatment of oil sludge.

Introduction

In the petroleum refineries, a considerable quantity of oil sludge accumulates from refining processes. The major sources of oil sludge include oil storage tank sludge, biological sludge, dissolved air flotation (DAF) scum, American Petroleum Institute (API) separator sludge, and chemical sludge. In Taiwan, most oil sludges are from oil storage tank sludge and the biological sludge of refinery wastewater treatment plants.1Some

oil sludges are included in the Hazardous Waste listings under the wastes originating from specific sources of Resource Conservation and Recovery Act (RCRA) regu-lations.2The Hazardous Waste listings are (1) dissolved

air flotation sludge (DAF) (K048), (2) slop oil emulsion solids (SOES) (K049), (3) heat exchanger bundle sludge (K050), (4) API separator sludge (API) (K051), and (5)

tank bottoms lead (K052).2 The other oil sludges not

included in the Hazardous Waste listings are dependent on the results of toxicity characteristic leaching proce-dure (TCLP).

The previous study3,4of target oil sludge has reported

the proximate, elemental, and heating value analyses of oil sludge as listed in Table 1. The elemental analysis of metal of oil sludge was also performed by Shie et al. as presented in Table 2.3 The total amount of metal

relative to wet basis of oil sludge is 0.93 wt %. However, the ash relative to wet basis of oil sludge is 1.88 wt % and with a red color which is different from the black color of pyrolysis residues. The increase of mass of ash maybe due to the metal oxide, but for the precise reasons, further research would be needed. Also, the major products from the oxidative thermal treatment of oil sludge with different oxygen concentrations were studied by Shie et al.5,6From experimental results,5,6 * Author to whom all correspondence should be addressed. E-mail:

cychang3@ntu.edu.tw.

Graduate Institute of Environmental Engineering, National

Tai-wan University.

Lan-Yang Institute of Technology. §Da-Yeh University.

|Department of Chemical Engineering, National Taiwan University.

(1) AAECC (Asian American Environmental Control Corporation). Refinery Solid Wastes Treatment and Management; A Report Submitted to China Petroleum Company (Taiwan) by AAECC; 1987.

(2) Guidance Manual for Hazardous Waste Permits, United States Environmental Protection Agency Office of Solid Waste and Emergency Response, PB 84-10057, Washington, DC, 1989.

(3) Shie, J. L.; Chang, C. Y.; Lin, J. P.; Wu, C. H.; Lee, D. J. Resources Recovery of Oil Sludge by Pyrolysis: Kinetics Study. J. Chem. Technol. Biotechnol. 2000, 75, 443-450.

(4) Shie, J. L.; Chang, C. Y.; Lin, J. P.; Lee, D. J.; Wu, C. H. Thermal Degradation Kinetics of Oil Sludge in the Presence of Carbon Dioxide. J. Chin. Inst. Environ. Eng. (Taiwan) 2001, 11 (4), 307-316.

(5) Shie, J. L.; Chang, C. Y.; Lin, J. P.; Lee, D. J.; Wu, C. H. Liquid Products from Oxidative Thermal Treatment of Oil Sludge with Different Oxygen Concentration of Air. Water Sci. Technol. 2001, 44 (10), 349-363.

1272 Energy & Fuels 2004, 18, 1272-1281

10.1021/ef0301811 CCC: $27.50 © 2004 American Chemical Society Published on Web 07/30/2004

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the improvement effects of oxygen on the qualities of the oil portion of liquid products are obvious.

The current major method of disposal of oil sludge is by incineration. The incinerators used are aggregate types such as fluidized bed combustors, circulating fluidized bed combustors (CFBC), and kiln, rotary, rack, and step-type furnaces with combustion temperatures of 1073-1173 K.7-12However, during incineration, the

following major problems are encountered: (1) excessive bed temperature, (2) frequent clinker formation, (3) high flue gas temperature, and (4) excessive pressure drop.11

The resolution of these problems is a current major concern.11Incineration has been deemed an effective

method for destroying the majority of organic constitu-ents by conversion to innocuous carbon dioxide and water. Other methods considered for the disposal of oil sludge are landfarming with microbial treatment to convert the hydrocarbons to combustible gases (such as CH4), use in a delayed coker, utilization for industrial

bitumen, and separation of water and sediment at elevated temperature by the use of diluents and emulsi-fiers with subsequent burning.10,13-17Landfill has

pol-lution risks if stabilization of oil sludge is not complete.

It may pollute groundwater and cause health prob-lems.14Landfarming requires a large surface area and

usually takes a long time to complete. It also causes air pollution problems.17 The organic compounds of oil

sludge include some aromatics and polyaromatic hy-drocarbons (PAHs) that are carcinogenic, while some inorganic compounds may contain toxic heavy metals.16

For the thermal treatment and pretreatment of oil sludge, some works had proceeded. Separation and Recovery Systems Inc. (SRS) introduced a new genera-tion of dryer technology, the MX-2500, for the treatment of refinery wastes and secondary materials including API sludges, DAF float, and slop oil emulsion solids.18

The MX-2500 is an electrically heated dryer system for the objectives of waste minimization and oil recovery, while producing a solid residue meeting EPA Land Disposal Restriction (LDR) treatment levels.18Ayen and

Swanstrom tested a low temperature thermal treatment process for petroleum refinery waste sludges coded as waste codes K048, K049, K050, K051, and K052 under the RCRA.7 The reaction temperatures of the low

temperature thermal treatment process were between 588 and 698 K (laboratory unit) or 463 and 633 (pilot plant) under nitrogen atmosphere, providing effective waste minimization up to a 40% decrease in the mass of sludge to be disposed of. The heating value of sludge was increased simultaneously by one-third. The process was demonstrated with its effectiveness of removal of organics of concern from the sludges meeting the RCRA best demonstrated available technology (BDAT) treat-ment standards.7In a previous study,3,4for the sake of

simplicity and engineering use, a simple global reaction kinetic model was proposed to predict the pyrolysis experimental results. The simulation results were sat-isfactory. However, for precise use, the two- and three-reaction models were further proposed to describe the pyrolysis.3,4 Among the three models proposed, the

three-reaction model gives the best fit. This is reason-able regarding the complex compositions of oil sludge. A significant variation in the instantaneous reaction rate of pyrolysis of oil sludge occurs at about 640-765 K.3 Comparing the references above, one can roughly

find out the difference of temperature ranges between the pyrolysis process (at lower temperatures of 640-765 K) and incineration process (at higher temperatures of 1073-1173 K). The oxidative thermal treatment of oil sludge is a technology between the pyrolysis and incineration. Extensive study has been conducted on the analyses of major products obtained from the pyrolysis of oil sludge and effects of additives on the pyrolysis of oil sludge in separate papers.19-22The major gaseous (6) Shie, J. L.; Chang, C. Y.; Lin, J. P.; Lee, D. J.; Wu, C. H. Effect

of Feeding Oxygen Fraction on Gas Emission and Solid Residue from Oxidative Thermal Treatment of Oily Sludge. J. Chin. Inst. Environ. Eng. (Taiwan) 2002, 12 (1), 65-76.

(7) Ayen, R. J.; Swanstrom, C. P. Low-Temperature Thermal Treat-ment of Petroleum Refinery Waste Sludges. Environ. Prog. 1992, 11 (5), 127-133.

(8) Chang, Y. M.; Lo, Y. F.; Chen, M. Y. Heat Transfer Measure-ments of a 1.0 Ton-steam/hr Circulating Fluidized Bed Combustor Burning Taiwan Coal. Partic. Sci. Technol. 1991, 8, 199-208.

(9) Chang, Y. M.; Chen, M. Y. Industrial Waste to Energy by Circulating Fluidized Bed Combustion. Resources, Conservation and Recycling 1993, 9, 281-294.

(10) Kuriakose, A. P.; Manjooran, S. K. B. Utilization of Refinery Sludge for Lighter Oils and Industrial Bitumen. Energy Fuels 1994, 8, 788-792.

(11) Sankaran, S.; Pandey, S.; Sumathy, K. Experimental Investiga-tion on Waste Heat Recovery by Refinery Oil Sludge IncineraInvestiga-tion Using Fluidised-Bed Technique. J. Environ. Sci. Health 1998, A33 (5), 829-845.

(12) Steger, M. T.; Meibner, W. Drying and Low-Temperature Conversion - A Process Combination to Treat Sewage Sludge Obtained From Oil Refineries. Water Sci. Technol. 1996, 34 (10), 133-139.

(13) Bengtsson, A.; Quednau, M.; Haska, G.; Nilzen, P.; Persson, A. Composting of Oily Sludges - Degradation, Stabilized, Residues, Volatiles and Microbial Activity. Waste Manage. Res. 1998, 16 (3), 273-284.

(14) Aithal, U. S.; Aminabhavi, T. M.; Dhukla, S. S. Photomicro-electrochemical Detoxification of Hazardous Materials. J. Hazard. Mater. 1993, 33 (3), 369-400.

(15) ElBagouri, I. H.; ElNawary, A. S. Mobility of Oil and other Sludge Constituents during Oily Sludge Treatment by Landfarming. Resour., Conserv. Recycl. 1994, 11, 93-100.

(16) Karr, L. A.; Lysyj, I. Physical, Chemical and Toxicological Properties of Navy Oily Sludge; Naval Civil Engineering Lab., Port Hueneme, CA, 1985; NCEL-TN-1739.

(17) Milne, B. J.; Baheri, H. R.; Hill, G. A. Composting of a Heavy Oil Refinery Sludge; Environ. Prog. 1998, 17 (1), 24-27.

(18) Swanberg, C. MX-2500 Thermal Processor for the Treatment of Petroleum Refinery Wastes and Contaminated Soils. Environ. Prog.

1993, 12 (2), 160-163.

(19) Chang, C. Y.; Shie, J. L.; Lin, J. P.; Wu, C. H.; Lee, D. J.; Chang, C. F. Major Products Obtained from the Pyrolysis of Oil Sludge. Energy Fuels 2000, 14 (6), 1176-1183.

(20) Shie, J. L.; Chang, C. Y.; Lin, J. P.; Lee, D. J.; Wu, C. H. Use of Inexpensive Additives in Pyrolysis of Oil Sludge. Energy Fuels 2002, 16 (1), 102-108.

Table 1. Some Properties of Oil Sludge Used in This Study3 item property Proximate analysis (wt %) moisture 39.15 (1.16)a combustible 58.97 (0.82) ash 1.88 (0.4)

Heating value analysis (kJ/kg)

heating value of dry basis 44 647 high heating value of wet basis 27 170 low heating value of wet basis 24 537 Ultimate analysis (dry basis of oil sludge, wt %)

C 83.94 (0.9) H 12.01 (0.58) N 0.81 (0.53) O 0.96 S 2.06 Cl 0.22

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products (noncondensable gases at 298 K) excluding N2

are CO2(50.88 wt %), HCs (hydrocarbons, 25.23 wt %),

H2O (17.78 wt %), and CO (6.11 wt %). The HCs consist

mainly of low molecular weight paraffins and olefins (C1-C2, 51.61 wt % of HCs). The distillation

character-istics of liquid product (condensate of gas at 298 K) from the pyrolysis of oil sludge is close to diesel oil. However, it contains a significant amount of vacuum residue of about 9.57 wt %. The heating value of liquid product is about 45 311 kJ/kg.

An investigation on the incineration of oil sludge has been carried out by the use of a fluidized-bed tech-nique.11Under the temperatures of an ignition-burner

at 1073 K and after-burner at 1473 K, more than 98.5% combustion efficiency (CO2/(CO2+ CO)) and 99%

incin-eration efficiency ((input - output)/input) were achieved for all three types of oil sludge. Regarding the ash and scrubber sludge that resulted from the incineration of oil sludge, the low contents of heavy metals in both samples confirm that they are not toxic in terms of level of heavy metal and hence can be sent for landfill disposal. However, no reports have been found in the literature considering detailed kinetic studies of oxida-tive pyrolysis of oil sludge. Effects of oxygen concentra-tion on the decomposiconcentra-tion kinetics are rarely investi-gated but are important in the actual combustion systems. Conesa et al.23 proposed a kinetic model for

the combustion of tire wastes and indicated that the mass loss takes place in four steps. The first three steps probably correspond to the decompositions of (1) an oil fraction (activation energy, E1) 70 kJ/mol), (2) natural

rubber (E2) 212.6 kJ/mol), and (3) styrene-butadiene

rubber (E3) 249.3 kJ/mol). The fourth step corresponds

to the combustion of a carbonaceous fraction (carbon black and other material) (E4) 252.0 kJ/mol). The

four-step kinetic model involves three pyrolysis reactions and one oxidative reaction. The activation energy of the fourth step (combustion of the carbonaceous fraction) is higher than those of the other three steps of pyrolysis reactions. This implies that oxygen takes part in the thermal degradation reaction mainly at the last reaction stage and higher reaction temperatures. The effects of oxygen content on the mass conversion at a constant heating rate are not obvious. However, the final residues of oxidative reaction are lower than that of the pyrolysis

reaction. All of this information is useful for assisting the study on the pyrolysis and oxidation reactions of sludge, for which multi-reactions may be involved. Kashiwagi and Nambu24used the Kissinger approach

for determining the kinetic constants. They pointed out that competition between the pyrolysis reaction and oxidative degradation coexisted (parallel reactions) for the thermal oxidative treatment of cellulose paper, and the dependence on the oxygen concentrations. After the pyrolysis and oxidative degradation of cellulose paper, char was produced and then subjected to oxidative degradation. This also indicates that the thermal de-composition of solid wastes with the presence of oxygen is not simply an oxidation process. The solid wastes are in both pyrolysis and oxidative conditions for incinera-tion. In general, the solid waste incineration involves oxidizing the waste in excess air and high temperature. In the combustion of solid waste, an initial step of pyrolysis usually occurs producing organic volatiles and residues containing char and tar. In the next stage, the residue of char or tar is then oxidatively reacted. The organic volatiles are oxidatively decomposed in the post-combustion chamber. The oxidative decomposition pro-cess is exothermic. The combustion heat released, in turn, can supply the heat needed for the endothermic pyrolysis reactions.

Wey et al.25performed oxidative pyrolysis of mixed

solid waste in a fluidized sand bed with freeboard reaction under an oxygen-deficient atmosphere and lower temperature (813-903 K). The primary gas and residue tended to produce alkyl and alkene compounds rather than being oxidized to produce CO, CO2, and H2O

because the oxygen was in short supply. Lee et al.26

found that the effects of oxygen concentration (0-6.5 vol %) on the yield and production rate of product gas are small. With increasing pyrolysis temperature, the gas yield and energy recovery increase, but oil yield decreases, whereas the char yield remains constant.26

The objective of the present work was to study the kinetics of oxidative decomposition of oil sludge. The experiments were performed by the use of a dynamic thermogravimetric (TG) reaction system at various constant heating rates (5.2, 12.8, and 21.8 K/min) and different concentrations of oxygen atmosphere (4.83, 8.62, 12.35, and 20.95 vol % O2). Oxidative thermal (21) Shie, J. L.; Lin, J. P.; Chang, C. Y.; Lee, D. J.; Wu, C. H. Use

of Calcium Compounds as Additives for Oil Sludge Pyrolysis. J. Chin. Inst. Environ. Eng. (Taiwan) 2002, 12 (4), 363-371.

(22) Shie, J. L.; Chang, C. Y.; Lin, J. P.; Lee, D. J.; Wu, C. H. Pyrolysis of Oil Sludge with Additives of Sodium and Potassium Compounds. Resour. Conserv. Recycl. 2003, 39, 51-64.

(23) Conesa, J. A.; Font, R.; Fullana, A.; Caballero, J. A. Kinetic Model for the Combustion of Tyre Wastes. Fuel 1998, 77 (13), 1469-1475.

(24) Kashiwagi, T.; Nambu, H. Global Kinetic Constants for Thermal Oxidative Degradation of a Cellulosic Paper. Combust. Flame 1992, 88, 345-368.

(25) Wey, M. Y.; Huang, S. C.; Shi, C. L. Oxidative Pyrolysis of Mixed Solid Wastes by Sand Bed and Freeboard Reaction in a Fluidized Bed. Fuel 1997, 76 (2), 115-121.

(26) Lee, J. M.; Lee, J. S.; Kim, J. R.; Kim, S. D. Pyrolysis of Waste Tires with Partial Oxidative in a Fluidized-Bed Reactor. Energy 1995, 20 (10), 969-976.

Table 2. Elemental Analysis of Metal of Oil Sludge (wet basis) Used in This Study3 Major metal Fe Ca Na Al Mg Zn Mn Hg Sr K ppmwa 7340.7 (477.7)b 1055.6 (107.9) 348.6 (2.57) 118.3 (3.67) 95.3 (8.99) 91.5 (2.11) 64.4 (9.26) 35.3 (0.01) 28.3 (5.6) 27.5 (3.62) Minor metal Pb Cu Ba Ni Cr Mo As Co Cd Se ppmw 19.6 (1.87) 14.1 (0.45) 13.7 (0.25) 11.7 (0.12) 6.5 (0.14) 1.3 (0.01) 0.96 (0.02) 0.88 (0.27) 0.14 (0.01) 0.12 (0.001)

appmw: ppm in wt/wt.bNumbers in parentheses are standard deviation (σ n-1).

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treatment of oil sludge can involve pyrolysis and oxida-tive reactions. The kinetics of oxidaoxida-tive decomposition of oil sludge provides basic information for the design and operation of thermal treatment system.

Experimental Section

Materials. The oil sludge used in this study was sampled

from the crude oil storage tank of a typical petroleum refinery plant located in the northern Taiwan. The oil storage tank sludge accumulates at the bottom of the tank, where crude oil, product oil, vapor, slop, asphalt, etc., are stored. It is taken out during periodic tank cleaning and dumped separately from other sludges in ponds with or without covers.3The oil sludge

sample was dried in a recycle ventilation drier for 24 h at 378 K before use. Nitrogen gas for the purge gas, with 99.99% purity, was purchased from the Ching-Feng-Harng Co. Ltd. in Taipei, Taiwan.

Apparatus and Procedures. Thermogravimetry (TG). The

lab-scale experimental apparatus and detailed description of operating procedures for the pyrolysis of oil sludge are the same as in the previous study.3,27-28 The Cahn 1000

Elec-trobalance (C-1000) was used for thermogravimetric analysis (TGA). Some specifications of the balance are capacity of 100 g, sensitivity of 1 µg, and ultimate repeatability of 1.5 µg. A sample of known mass (8 ( 0.5 mg) was placed on a small quartz disk, 2 cm in diameter and 1 mm in thickness. The disk was hung on the extension wire, made of Nichrome wire 0.1 mm in diameter and 0.68 mg/cm in weight, of the electrobalance. The disk and wire were enclosed in a quartz shell and tube reactor. The outer shell was 92 cm long and 3.5 cm inside diameter. The inner tube was 20 cm long and 1.2 cm in inside diameter. The reactor was placed in the heating furnace (HAS 100/250G and 7000 W). A K-type thermocouple was inserted into the reactor for measuring the temperature, and placed 5 mm below the center of the disk. Nitrogen gas at a given flow rate was introduced into the electrobalance and reactor for at least 8 h for purging. Then the flow rate was adjusted to the desired value, for example, 50 cm3/min under 101.3 kPa (1 atm) and 293 K, and was

controlled by a Cole-Parmer N062-01 rotameter. After about 1 h, the control unit (Eurotherm 815 S, Eurotherm Interna-tional Ltd.) of the furnace was set at a specific heating rate (5.2, 12.8, and 21.8 K/min). Meanwhile, the data acquisition unit (IBM PC-486 DX33 with 4 1/2 digit DVM card and RS232 interface), with a sampling interval of 15 s, logged the results. The system was operated at atmospheric pressure. The efflu-ent gas was cold-trapped at 298 K and then vefflu-ented to a fume hood. When the run was finished, the nitrogen gas was kept flowing till the temperature of the system was below 373 K. The oil sludge sample was dried in a recycle ventilation drier for 24 h at 378 K before use. The dried sample was placed on a quartz disk that was enclosed in a quartz shell and tube reactor with purging nitrogen gas overnight (at least 16 h) at 378 K for further drying to a constant mass prior to starting the temperature rise under a specific heating rate. The gas, which was a combined mixture of nitrogen and air to the concentrations of 4.83, 8.62, 12.35, and 20.95 vol %, was then adjusted to the desired value, for example, 50 cm3/min under

101.3 kPa (1 atm) and 293 K and was controlled by the Cole-Parmer N062-01 rotameter. A sample mass of 8 ( 0.5 mg was found to be suitable for yielding kinetic data. From the test results, the longitudinal temperature gradients were about 0.0098, 0.0097, and 0.01 K/mm for heating rates of 5.2, 12.8, and 21.8 K/min, respectively. Noting that all of the

longitu-dinal temperature gradients were less than 0.01 K/mm, one may reasonably obtain the temperature near the disk by extrapolation. The radial temperature gradients were about 0.24, 0.55, and 0.43 K/mm for heating rates of 5.2, 12.8, and 21.8 K/min, respectively. In this study, the sample was well spread and homogenized around the center of disk. The temperature of the center of the disk was calculated by extrapolation from the temperature difference (about 0.01 K/min× 5 mm ) 0.05 K).

It is noted that a buoyancy effect occurs when working at elevated temperatures and with the different reaction gases because the increasing temperature will affect the density of the gas. The experimental curves presented below are the results with deduction of a blank run corresponding to each specific condition.

Oxygen Analysis. For the analysis of the concentration of

oxygen (O2), a China Chromatography 8900 GC equipped with

a thermal conductivity detector (TCD) and a Supelco packing column (60/80 carbonxen-1000, 15 ft, 2.1 mm i.d.) was used. An integrator from Hewlett-Packard (HP 3396) was connected to the GC for graphing and integrating purposes. The opera-tion condiopera-tions were set as follows: injector temperature of 393 K, detector temperature of 373 K, column temperature (following the sampling injection) held at 333 K for 20 min, helium carrier gas flow rate of 35 mL/min for A and B columns, and sample volume of 250 µL.

Results and Discussion

Effects of Oxygen Concentrations and Heating Rates. The residual mass fractions of reactant (M and

M′) in thermal decomposition are expressed on a nor-malized basis, where M ) (W - Wf)/(Wo- Wf), M′) W/Wo, and W, Wo, Wfrepresent present, initial, and final

masses of sample, respectively. The variations of M and

Mwith reaction temperature (T) for various oxygen concentrations are illustrated in Figures 1a and 1b under a heating rate of 5.2 K/min. For comparison, the pyrolysis case (100% N2) studied by Shie et al.3is also

included. The results indicate that the effects of oxygen at the concentrations studied are not significant at temperatures below 613 K. The presence of oxygen in the carrier gas gives a higher value of M and thus a lower conversion of X (X ) 1 - M) when the temperature is higher than 613 K. This may be attributed to the high activation energy (E) of oxidative reaction of carbon-aceous residue resulting from pyrolytic carbonization, as noted in the following section. Pyrolysis is significant for all cases with various oxygen concentrations at temperatures below 613 K. Above 613 K, pyrolysis becomes insignificant while oxidative thermal decom-position tends to dominate. From these results, one can assume that both pyrolysis and oxidation reactions of oil sludge occurred with the presence of oxygen via parallel reactions.

The variation of instantaneous reaction rate (r ) dX/ dt) with T for various oxygen concentrations under the heating rate of 5.2 K/min is presented in Figure 2 including the pyrolysis case (100% N2) studied by Shie

et al.3The oxidative thermal decomposition reactions

are significant in the range 415-931 K and the reaction scheme is complex. Figure 2 shows that there are about four major peak rates for the cases with 4.83 and 8.62 vol % O2and three major peak rates for those with 12.35

and 20.95 vol % O2, respectively. The initial (Ti) and

final (Tf) reaction temperatures with significant reaction

rates for various oxygen concentrations can be estimated

(27) Lin, J. P.; Chang, C. Y.; Wu, C. H.; Shih, S. M. Thermal Degradation Kinetics of Polybutadiene Rubber. Polym. Degrad. Stab.

1996, 53, 295-300.

(28) Wu, C. H.; Chang, C. Y.; Hor, J. L. On The Thermal Treatment of Plastic Mixtures of MSW: Pyrolysis Kinetics. Waste Manage. 1993, 13, 221-235.

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from the rate curves. These are listed in Table 3 including the pyrolysis case (100% N2) studied by Shie

et al.3It is seen in Table 3 that T

i(dX/dt > 0.002 min-1)

decreases as heating rate (HR, β) increases for fixed concentrations of O2, except the cases with the heating

rates of 12.8 K/min for 12.35 vol % O2and 21.8 K/min

for 20.95 vol % O2. The value of Tf(dX/dt > 0.002 min-1)

increases as heating rate increases. In view of the presence of oxygen, the effect of oxygen concentration

Figure 1. (a) Residual mass ratio (M or M) vs reaction temperature (T). M vs T and comparison of M predicted by proposed model with experimental data at 5.2 K/min heating rate (HR, β) for thermal decomposition of oil sludges in various oxygen concentrations. (1, +), (2, ∆), (3,×), (4, 0), (5, O): 100% N2,34.83, 8.62, 12.35, 20.95 vol % O2. Line: computed; symbol: experimental;

R12, R22, R32, R42, R52) 0.9981, 0.9922, 0.9927, 0.9975, 0.9926. T ) temperature. (b) Residual mass ratio (M or M′) vs reaction

temperature (T). Mvs T for experimental data at 5.2 K/min heating rate (HR, β) for thermal decomposition of oil sludges in various oxygen concentrations. +, ∆,×, 0, O: 100% N2,34.83, 8.62, 12.35, 20.95 vol % O2. Line: computed; symbol: experimental.

Figure 2. Variation of instantaneous reaction rate (r ) dX/ dt) with T at 5.2 K/min heating rate for thermal decomposition of oil sludge in nitrogen gas and various oxygen concentrations. +, ∆, ×, 0, O: 100% N2,34.83, 8.62, 12.35, 20.95 vol % O2.

Table 3. Reaction Characteristics of Oxidative Thermal Decomposition of Oil Sludgea

Carrier gas β (K/min) Ti(K) Tf(K) ∆T ) Tf- Ti

100% N23 5.2 425 810 385 12.8 421 820 399 21.8 417 825 408 4.83% O2 5.2 447 859 412 12.8 435 914 479 21.8 425 926 501 8.62% O2 5.2 433 831 398 12.8 428 858 430 21.8 420 912 492 12.35% O2 5.2 423 820 397 12.8 429 850 421 21.8 415 903 488 20.95% O2 5.2 437 806 396 12.8 427 849 422 21.8 432 875 443 aβ: heating rate; T

i, Tf: initial and final temperatures with

significant reaction rates.

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on Ti(about 415-447 K) is moderate while that on Tf

(about 806-926 K) is vigorous. The temperature differ-ence between final and initial reactions (∆T ) Tf- Ti)

increases as heating rate increases at a fixed oxygen concentration. However, except for the case of 100% N2,

the value of ∆T decreases as the oxygen concentration increases at a fixed heating rate. The final fraction residues Wf/Woare about 6.63-7.99 wt % in the inert

atmosphere and about 0.97-6.28 wt % in the oxidative atmosphere. Therefore, in the oxidative environment, there is about 0.35-7.02 wt % reduction of residue. Except for the case with the heating rate of 21.8 K/min for 20.95 vol % O2, the fraction residue Wf/Woincreases

as the heating rate increases. The final residues of oxidative thermal decomposition of oil sludge may be contributed by the oxidation of metals with oxygen. Because there are many metals in oil sludge (Table 2), it is difficult to identify all kinds of oxidative reactions of metals in oil sludge. For simplicity, due to the low fraction of residues (0.97-6.28), we neglect the effects of the final fraction residues and propose the kinetic model according to Figure 1a with M ) (W - Wf)/(Wo -Wf) and Figure 1b with M) W/Wo.

For 12.35 vol % O2under the three heating rates (5.2,

12.8, and 21.8 K/min), the variations of M and dX/dt with T are presented in Figures 3 and 4, respectively. Clearly, the results indicate that a higher heating rate gives a larger value of M (lower value of X). At a lower heating rate, the retention time that is required for the sample to reach a given temperature was longer. This would generally result in a higher conversion (a lower value of M).29 The peaks of dX/dt shift to the

high-temperature region and increase as heating rate in-creases. Kashiwagi and Nambu18used quite low heating

rates to ensure that any transport effects on derived kinetic constants were negligible. A recent experimental study30was performed on the effect of heating rate on

the kinetics of pyrolytic mass loss of cellulose. Cellulose is rapidly heated to above 600 K, giving apparently low

activation energies, mainly between about 140 and 155 kJ/mol. However, cellulose heated more slowly to tem-peratures below 600 K appears to lose mass with an apparent activation energy of about 218 kJ/mol.30It is

hypothesized that evaporative escape of tars, the main product of cellulose pyrolysis, might be the process that is transport-limited.31 Transport limitations impede

outflow of volatiles from the sample pans, and are more significant at higher heating rates. As more volatiles are quickly formed at the higher temperatures, more mass per unit time must pass through sample. There-fore, transport limitation is more severe at 60 K/min than at 1 K/min.32Generally speaking, the composition

of degradation products might be affected by heating rates, but global kinetic constants might not be influ-enced by heating rates at the conditions without trans-port limitations (low heating rates).24 This study is

applicable for low heating rates. For high heating rates, further research would be needed.

Kinetic Model. Kinetic Model of Pyrolysis of Oil

Sludge. It is known that oxidative thermal

decomposi-tion is more complicated than pyrolysis alone. During the course of oxidative thermal decomposition, pyrolysis may occur first. For the sole pyrolysis of oil sludge, Shie et al.3employed the Friedman method33to evaluate the

apparent kinetic parameters from the TG data. Their pyrolysis model assumes three independent and parallel reactions with the following scheme:

The instantaneous reaction rates are

For the above reaction scheme, the kinetic equation for the total mass loss rate is

where Fi) weighting factors of reactions.

Reaction Rate Equations of Oxidation Reactions.

Conesa et al.23indicated that the pyrolysis step of tire

(29) Wu, C. H.; Chang, C. Y.; Lin, J. P. Pyrolysis Kinetics of Paper Mixtures in Municipal Solid Waste. J. Chem. Technol. Biotechnol.

1997, 68, 65-74.

(30) Milosavljevic, I.; Suuberg, E. M. Cellulose Thermal Decomposi-tion Kinetics: Global Mass Loss Kinetics. Ind. Eng. Chem. Res. 1995, 34 (4), 1081-1091.

(31) Suuberg, E. M.; Milosavljevic, I.; Oja, V. Two-Regime Global Kinetics of Cellulose Pyrolysis: the Role of Tar Evaporation. Sympo-sium on Combustion Proceedings of the 1996 26th International

Symposium on Combustion 1996, Part 1, Jul 28 - Aug 2, 1, 1515-1521.

(32) Milosavljevic, I.; Oja, V.; Suuberg, E. M. Thermal Effects in Cellulose Pyrolysis: Relationship to Char Formation Processes. Ind. Eng. Chem. Res. 1996, 35, 653-662.

(33) Friedman H. L. Kinetics of Thermal Degradation of Char-Forming Plastics from Thermogravimetry. Application to a Phenolic Phenolic Plastic. J. Polym. Sci. 1965, 6, 183-195.

Figure 3. Comparison of M predicted by proposed five-parallel-reaction model with experimental data at different HR for oxidative thermal decomposition of oil sludges in 12.35 vol % O2. 1 (∆), 2 (O), 3 (×): HR ) 5.2, 12.8, 21.8 K/min. Line:

computed; symbol: experimental; R12, R22, R32 ) 0.9975,

0.9918, 0.9966. oil sludge 98 k1 volatiles V1+ residues M1 98k2 volatiles V2+ residues M2 98k3 volatiles V3+ residues M3 dX1 dt ) 7.69 × 10 5 exp

(

- 69.9 RT

)

(1 - X) 2.94 (1) dX2 dt ) 9.09 × 10 6 exp

(

- 93.8 RT

)

(1 - X) 2.42 (2) dX3 dt ) 2.95 × 10 8 exp

(

- 123.2 RT

)

(1 - X) 1.24 (3) dX dt )

Fi dXi dt, i ) 1, 2, 3 (4)

(8)

decomposition can contribute to the initial stage of the combustion process and the kinetic constants of pyroly-sis alone could be somewhat different from those of combined oxidation and pyrolysis reactions. The resi-dues of pyrolysis of oil sludge exhibit very high viscous form before 623 K (pyrolysis temperature), while low viscous or solid form after 713 K. This indicates that the pyrolysis processes before 623 K would include physical volatilization with the transformation reaction (the first reaction of the three-reaction model of pyroly-sis of oil sludge3). In the temperature range of

623-713 K, the residues of oil sludge form aggregated solid residues (solid form).19From Figure 1, the curves are

different for the oxidative thermal decomposition and sole pyrolysis processes for temperatures greater than 613 K (X ) 0.5), while about the same below 613 K. Above 613 K, the residues of oil sludge for the oxidative thermal decomposition form aggregated solid residues and then react mostly with the oxygen. This step acts like the combustion of the carbonaceous fraction (carbon black and other material). Thus, one can assume that the three-reaction model of pyrolysis is applicable to the oxidative thermal decomposition of oil sludge below a certain temperature, say 613 K (X ) 0.5). The other reactions contributing to the oxidative thermal decom-position can be deduced by the extension of the Fried-man method,33as described briefly below.

The foundation for the study of oxidative kinetic data from the mass-loss curve is based on the kinetic reaction rate equation

where dX/dt ) reaction rate (1/min), k ) Arrhenius rate constant, k ) A exp(-E/RT), f(X) ) function of conver-sion X(-), f(X) ) (1 - X)n, (O

2) ) oxygen concentration

(volume %) in carrier gas, and A, E, n, m ) frequency factor (1/min), activation energy (kJ/mol), reaction order of unreacted material (-), and reaction order of oxygen (-), respectively.

Activation Energy of Oxidation Reactions. The

dif-ferential, iso-conversion method for determining the activation energy was employed in this study. Taking natural logarithms of eq 5, one obtains

At the same residual mass fraction and a fixed oxygen concentration, the reaction temperatures corresponding to the various heating rates with specific residual mass fraction are obtain from Figure 3 (for 12.35 vol % O2).

Meanwhile, the instantaneous reaction rates corre-sponding to the reaction temperatures would be deduced from Figure 4 (for 12.35 vol % O2). A straight line with

slope -E/RT is obtained by plotting ln(dX/dt) vs 1/T for every residual mass fraction at a fixed oxygen concen-tration. The activation energy corresponding to the selected residual mass fraction could then be obtained. Examining the activation energies under various con-versions and oxygen concentrations and comparing those with the pyrolysis case (100% of N2) studied by

Shie et al.,3 one notes that the activation energies for

the cases of oxidative thermal decomposition and sole pyrolysis are only slightly different for the conversions (X) in the ranges of 0-0.4 and 0.85-1, but are very different for X of 0.45-0.85. For simplicity, one can assume that the reactions for X of 0-0.5 are mainly contributed by pyrolysis. Further for X > 0.5, one can divide the activation energies into two conversion ranges that are mainly contributed by the oxidation reactions for various oxygen concentrations, namely, X ) 0.51-0.75 and 0.76-1. The corresponding average activation energies are 229.8 and 123.3 kJ/mol, respectively.

Reaction Order and Frequency Factor of Oxidation Reactions. Rearranging eq 6, one obtains

Again, at the same degree of conversion, dX/dt and T

Figure 4. Variation of dX/dt with T at various HR for oxidative thermal decomposition of oil sludges in 12.35 vol % O2. Other

notations are the same as in Figure 3.

dX/dt ) k f(X) (O2) m (5) ln(dX/dt) ) ln[A(1 - X)n(O2) m ] + (-E/R)(1/T) (6) ln[(dX/dt)/exp(-E/(RT))] ) [ln A + m ln(O2)] + n ln(1 - X) (7)

(9)

could be specified from Figures 3 and 4 (for 12.35 vol % O2), respectively. A straight line with slope of n is then

obtained by plotting ln[(dX/dt)/exp(E/(RT))] vs ln(1

-X) for the reaction and showed in Figure 5. Therefore,

the average orders of reactions of 2.91 and 1.36 could be acquired for the two conversion ranges that are contributed mainly by oxidation reactions with various oxygen concentrations. Should a refined value of E be needed, one could rearrange eq 7 and obtain

Thus, a straight line with slope of -E/RT can be obtained by plotting ln[(dX/dt)/(1 - X)n] vs 1/T for the

reaction as shown in Figure 6. From the curve fittings with R2of 0.8631 for E

4and 0.7209 for E5, the average

refined activation energies for the two conversion ranges of oxidation reactions with various oxygen concentra-tions are 208.7 and 120.9 kJ/mol. The intercept (ln A +

m ln(O2)) of eq 8 is plotted against ln(O2) to yield a

straight line by the least-squares method, for which the slope is m and the intercept is ln A as shown in Figure 7. The orders of oxidation reactions (m) are 2 and 0.32, and the frequency factors are 1.66× 1017and 9.45×

107 min-1 for the two conversion ranges that are

contributed mainly by oxidation reactions with various oxygen concentrations.

Oxidation Scheme of Oxidation Reactions. With the

kinetic parameters obtained above, the two oxidation reactions deduced are then available for the kinetic

model describing the oxidative thermal decomposition. The oxidation reaction scheme is proposed as below:

The instantaneous reaction rates are listed below:

Rate Equations of Oxidative Thermal Decomposition of Oil Sludge. For a reaction scheme of oxidative

thermal decomposition of oil sludge considering the roles of both pyrolysis and oxidation, the overall kinetic equations for the total mass loss can be obtained by combining eqs (1)-(3) and (9)-(10) with weighting factors (Fi). This gives

and

where C ) contribution factor to reaction, (Wo - Wf)/ Wo.

The weighting factors of the five-parallel-reaction model for the various oxygen concentrations are listed in Table 4. The weighting factors are obtained by curve fitting with adjustment of the values of Fiso as to have

maximal values of R2. The F

ivalues thus obtained are

about 0.5-0.54, 0.06-0.12, 0-0.02, 0-0.1, and 0.28-0.38 for the five reactions, respectively. Table 4 indicates that when the oxygen concentrations are zeroes, dX4/dt

and dX5/dt ) 0. The overall kinetic equations for the

oxidative thermal decomposition of oil sludge can be reduced to those of sole pyrolysis of oil sludge (eq 4).

Figure 5. Variation of ln[(dX/dt)/exp(E/(RT))] with ln(1 -X) for determination of reaction order n4and n5for oxidative

thermal decomposition of oil sludge. Other notations are the same as in Figure 3.

Figure 6. Arrhenius plot of ln(dX/dt/(1 - X)n) vs 1/T for determination of refined activation energies E4(]) and E5(+)

for oxidative thermal decomposition of oil sludge.

ln[(dX/dt)/(1 - X)n] )

[ln A + m ln(O2) ]+ (-E/RT)(1/T) (8)

Figure 7. Variation of [ln(A) + m ln(O2)] with ln(O2) for

determination of reaction orders (m4and m5) and frequency

factors (A4and A5) for oxidative thermal decomposition of oil

sludge. Other notations are the same as in Figure 3.

oil sludge + O298k4 volatiles V4+ residues M4 98k5 volatiles V5+ residues M5 dX4 dt ) 1.66 × 10 17 exp

(

-208.7 RT

)

(1 - X) 2.91 (O2)2 (9) dX5 dt ) 9.45 × 10 7 exp

(

-120.9 RT

)

(1 - X) 1.36 (O2)0.32 (10) dX dt )

Fi dXi dt, i ) 1, 2, 3, 4, 5 (11) - dMdt ) -C dM dt ) C dX dt ) C

Fi dXi dt (12)

(10)

Comparison of Experimental Data and Proposed Model. The mass balance of the overall oxidative

thermal reaction gives

The production rate of Vi(volatile gas of i reaction) could

be expressed as

and

where Mvi) mass fraction of volatile Viof ith reaction

(-), Ai) frequency factor of ith reaction (1/min), Ei)

activation energy of the ith reaction (kJ/mol), ni )

reaction order of unreacted material of ith reaction (-), and mi ) reaction order of oxygen of the ith reaction

(-).

The initial conditions are

Because the constant heating rate is employed, eqs (13) and (14) can be solved with the initial conditions of eq (15). It can be shown that

and

where

A comparison of residual mass fractions predicted by the proposed model with those obtained by experiments is also shown in Figure 1 for various oxygen concentra-tions of heating rate 5.2 K/min and in Figure 3 for the 12.35 vol % O2 of three heating rates, indicating

satisfactory agreement. To verify the applicability of kinetic parameters and the validity of the proposed model, the coefficient of determination (R2) is examined

for 0.05 < M (predicted) < 0.95. The values of R2 for

various oxygen concentrations are 0.9922-0.9975, 0.9918-0.9967, and 0.9913-0.9966 for the heating rates of 5.2, 12.8, and 21.8 K/min, respectively, as listed in Table 4 along with those for the pyrolysis case (100% N2) studied by Shie et al.3 This supports the validity

and practical applicability of the proposed reaction kinetic model for describing the oxidative thermal decomposition of oil sludge without specifying the detailed chemical reactions involved. The oxidative thermal decomposition model can be used for both cases of sole pyrolysis ((O2) ) 0) and oxidative thermal

decomposition ((O2) < 20.95 vol %) of oil sludge.

How-ever, the model is an empirical one. It doses not enter into reaction mechanisms or the chemical and physical nature of the materials involved. On the basis of the multi-reaction kinetic model (five-reaction), the reaction pathways would involve a multi-reaction mechanism. Multi-gross categories of combustible reactants, which in turn yield their distinct products correspondingly, might exist in the oil sludge.

A reaction scheme with eqs (1), (9), and (10) has also been tested. The values of R2 for various oxygen

concentrations are 0.9634-0.99, 0.9731-0.9921, and 0.9589-0.9913 for the heating rates of 5.2, 12.8, and 21.8 K/min with the weighting factors of 0.5-0.54, 0.11-0.22, and 0.28-0.38 for the three reactions, re-spectively. Adding eqs (2) and (3) into eqs (1), (9), and (10) would give the proposed model for the overall oxidative thermal decomposition of oil sludge. With a five-reaction model, the values of R2 of simulation

results for various oxygen concentrations would be improved, giving 0.9922-0.9975, 0.9918-0.9967, and 0.9913-0.9966 for the heating rates of 5.2, 12.8, and 21.8 K/min, respectively. Thus, it is adequate for proposing a five-parallel-reaction model in this study.

Conclusions

The oxidative thermal decomposition of oil sludge was carried out by a TGA reaction system at four oxygen concentrations (4.83, 8.62, 12.35 and 20.95 vol % O2). A

five-parallel-reaction kinetic model was proposed to predict the experimental results. The activation ener-gies, frequency factors, and reaction orders were

deter-Table 4. Weighting Factors of Five-Parallel-Reaction Model and Coefficients of Determination (R2) at Three Heating

Rates for Cases with Pure Nitrogen and Oxygen Concentrations of 4.83, 8.62, 12.35, and 20.95 vol % O2 Gas concentration vol % F1 F2 F3 F4 F5 R2 5.2 K/min R2 12.8 K/min R2 21.8 K/min 100 N23 0.5 0.22 0.28 0 0 0.9981 0.9945 0.9981 4.83 O2 0.5 0.12 0.02 0.1 0.28 0.9922 0.9934 0.9929 8.62 O2 0.5 0.12 0.01 0 0.37 0.9927 0.9967 0.9923 12.35 O2 0.54 0.09 0 0.05 0.32 0.9975 0.9918 0.9966 20.95 O2 0.5 0.06 0 0.06 0.38 0.9926 0.9924 0.9913 4.83-20.95 O2 0.51a 0.1a 0.01a 0.05a 0.34a

aAverage value of results of weighting factor for oxygen concentrations of 4.83-20.95% O 2. M ) 1 - ΣMvi, where Xi) Mvi/Fi, and i ) 1, 2, 3, 4, 5 (13) d(Mvi/Fi)/dt ) Aiexp(-Ei/RT)(1 - (Mvi/Fi)) ni , i ) 1, 2, 3 (14) d(Mvi/Fi)/dt ) Aiexp(-Ei/RT)(1 - (Mvi/Fi))ni(O2)mi, i ) 4, 5 (15) M ) 1, Mvi) 0, at t ) 0 (16) Mvi) Fi

[

1 -

[

1 - (1 - ni)AiRT 2 βEi × exp

(

-RT)Ei

(Ei, T)

]

1/1-ni

]

, i ) 1, 2, 3, (17) Mvi) Fi

[

1 -

[

1 - (1 - ni)AiRT 2 βEi (O2)mi× exp

(

- Ei RT

)

(Ei, T)

]

1/1-ni

]

, i ) 4, 5 (18)

(Ei,T) )

j)0

[

(

-RT Ei

)

j

k)0 j (k + 1)

]

) 1 - 2RT Ei + 6

(

RT Ei

)

2 - 24

(

RT Ei

)

3 + 120

(

RT Ei

)

4 - ... (19)

(11)

mined for the corresponding reactions under experi-mental conditions. The proposed model can adequately describe the oxidative thermal decomposition of oil sludge. This study greatly assists the utilization of oil sludge as an energy resource.

Acknowledgment. We express our sincere thanks to the National Science Council of Taiwan for the financial support, under contract number NSC88-2211-E-002-021.

Glossary A frequency factor (1/min)

C contribution factor to reaction, (Wo- Wf)/Wo E activation energy (kJ/mol)

f(X) the function of conversion X (-), f(X) ) (1 - X)n Fi weighting factor of reaction i contributing the

oxidative thermal treatment

i ith reaction contributing the oxidative thermal

treatment

k the Arrhenius rate constant of one-reaction model,

k ) A exp(-E/RT)

k1, k2, k3, k4, k5

the Arrhenius rate constants of five-parallel-reac-tion model

M residual mass fraction of active reactant, M ) (W - Wf)/(Wo- Wf)

Mresidual mass fraction of reactant, M) W/Wo Mvi mass fraction of volatile Vi(-)

m reaction order of oxygen (-)

n reaction order of residual solid (-)

(O2) oxygen concentration by volume in carrier gas r dX/dt

R universal gas constant, 8.314× 10-3kJ/mol K

T reaction temperature (K) ∆T reaction range (∆T ) Ti- Tf) Ti initial reaction temperature

Tf final reaction temperature

W present mass of sample

Wo initial mass of sample

Wf final mass of sample

X conversion, 1- M

dX/dt, r the reaction rate (1/min), r ) dX/dt

β heating rate (K/min)

數據

Table 1. Some Properties of Oil Sludge Used in This Study 3 item property Proximate analysis (wt %) moisture 39.15 (1.16) a combustible 58.97 (0.82) ash 1.88 (0.4)
Table 2. Elemental Analysis of Metal of Oil Sludge (wet basis) Used in This Study 3 Major metal Fe Ca Na Al Mg Zn Mn Hg Sr K ppmw a 7340.7 (477.7) b 1055.6(107.9) 348.6 (2.57) 118.3(3.67) 95.3 (8.99) 91.5 (2.11) 64.4 (9.26) 35.3 (0.01) 28.3 (5.6) 27.5 (3.6
Figure 2. Variation of instantaneous reaction rate (r ) dX/
Figure 3. Comparison of M predicted by proposed five- five-parallel-reaction model with experimental data at different HR for oxidative thermal decomposition of oil sludges in 12.35 vol
+3

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