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水下載具應用於海底管線檢修之關鍵技術研發---緊密固體顆粒在橫向流中之漂移與水下載具監測方法之研究

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(4)  . The Study on the Drift of the Dense Solid Particles in the Cross Flow and the Method of Observation by Remotely Operated Vehicles .    

(5) NSC 96-2221-E-006-328-MY3 96  8  1  99  7  31 . 

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(9) . (Remote -controlled Operated Vehicle, ROV)             . !"#$%&'()*+(Particle Image Velocimetry, PIV),()-.*+ (Particle Tracking Velocimetry, PTV)/01 2345678()129:4. ;<* HID =>?@9A8BC(). DEFGH9IJK()*,LMN O"PQR678(),STU. VW9XYZ,[\]^12" _`9abcdefghi. jklmnopqrs8tuv ),wU9x yz{PIJ_v. )",?|klL}9ghklrs 8~c€‚9ƒ„ J†‡89a. bˆ‰Š‚‹Œ‚‹Ž(‚‹s‚. ,‚IJ‘ klnopq-.9 x’“?|l‚”•–—yz. {"˜™VWš€›œ•U10,000"a b  ž ? | l o  ‚ ” • Ÿ   P1.45. ¡9¢BCš£y¤¥"‘ pq v)˜™¤¥¦§9L¨9©. ª€«%#$¬]­®¯ƒ°9±² ³´;9v)]µ¶·¸~}¹ ]º". MÊËÌ PTV9Íu9rs Abstract This research has developed a basic measuring technique for an image velocimetry system that can be installed on a Remote-control Operated Vehicle (ROV). The measuring technique would be applied to the underwater investigation using Particle Image Velocimetry (PIV) and Particle Tracking Velocimetry (PTV). High Intensive Discharge (HID) light source was adopted to illuminate the environment, and various CCD cameras were tested to compare their performance in an environment similar to real oceans. The statistics and image analysis was used to estimates the velocity of the tracer particle and the characteristics of the flow. Moreover, we studied the behavior of both single and multiple sphere solid particles with rock surface in cross flows, and developed an approximate predicting model for their settling at the bottom. The rough spheres have higher drag than smooth spheres in cross flows. So, in the process of calculation, Reynolds number up to 10,000, we consider gravity, buoyancy, added mass effect force and drag force to calculate the trajectory of single sphere solid particle with rock surface, and change the drag coefficient of smooth sphere to adjust the compute result. We found a 1.45 times of drag coefficient is needed. The effect of flow velocity variation, variation of the diameter of the glass sphere, and rotating all affect the trajectories and settling position. The prediction model matches most of the settlement experiments results with 95% confidence level.. Keywords: ˆ‰»Špqx޼½¾,¿À cross flow. klz{©ª½¾¬H9abÁÂC ¿Àklz{vÃÄÅwU~Ə. s‚9¬¿Àklz{v)DÇ"„y z{¢Èɀ. ]˜™¤¥". - III -. underwater. PTV,. sediment,.

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(91) 0.1 0.25 0.57 0.76. šŽ*. 0.0033 0.0083 0.019 0.025. ¬v)ÕNO“R‡*cÌ. 1‹ ¦§½Ô‰(i 2). (3)z{ÅYú9ab¸+4 éêÏéIJz{Å9*P@é. 2‹ ¿Àklz{qª½¾Ì95%áMð ½(‰OU 4.78%". êÏéÃðð ½(‰O ™9¸Ÿ$. Òw]^9 3.33%2 J9š€ÅUD. 3‹ j*YsøR9ͯ 18995% áMð½(‰Oš€U. $ 6 !9š€÷ø 0.199 !". 0.1m/s à 6.4«". (4)½(‰O9ab+4¥K Z ½(‰OU 2%(2.1.3 6)". P—Õã½(‰O9x—ÕUi 8". z{ ¡(X Ö) z{ ¡(Z Ö). 3.3 3.3.1. Òw„˜™Ã9*c˜™VW£. •"v 100~270 p½Vdefi. i 8 +¤¥½(‰O ²F. j¿ÀN¹"ޘ™VW9v),. ½(‰O. ) x Ys²¾FGÍi 10". 0.643%. i 10 ¼Ysv),²¾DÇ. 0.657%. ÏéÃðð (FG) 3.33%. yz {| (m/s). ÏéÃðð (Å) 3.33% . (m). 2.00%. ® ¢w˜™ÞÕ 95%áMð. 0.01319. ½(‰O9—ÕÍi 9Ì. 0.00762. i 9 ½(‰OwxÕ½(‰O v)÷ ø. ›œ• Å Š‚ Œ‚ ‚. Ž(‚ s‚. 4.14% 7.10% 3.33% 2.39% 2.39% 4.30% 3.10% 3.85%. 7.74%. 0.095 0.25 0.57 0.76 0.16 0.43 0.57. FG. }~€ ‚ƒ„ †‡(cm) 14.5 28 69.9 94.4 25.2 65.3 91.6. abJKޘ™VWFGOí‰. 9*O U tan-1(²¾FG/Íuj*)î. í=tan-1 (rs/œ©IÐ*) î"_. 8IÐ*%:4 2.3 68Õxì. ‚”•  1.45 *B9_Õ5 3.2 68¬ 4". ¯ 29 ab PPK-., Y ÖO(F G*)tpqœ©IÐ*,˜™. O(**)LQ9ƒ„abì/0qª. - 19 -.

(92) FG*,**[\)‚‚. PO‚‚i§9„/V‚‚ 4. ý‘IJ-.O902ÉÃ. 89abž9À›œ• 5000 PÃ9. x , z Öê.]µ9L²¾DÇJ‰4 Æ 1 ¡©ª®¯ñ9c³Ó MÓ:;. j P€xQIKv)DÇ"¯ 30 G§R ê.~v„®¯ñ" {v)œ9£Pv)²¾DÇUR. )9rÖ X' = X - X 4Ys(+ X')UYs9. GÖ4YsUjs,H4ŠY(+z)". ¯ 31 ©ª 1.319cm9 0.095m/s à xíŠî , zí‹îYsv)]µê.,ÛØ]­} ¹. 3.3.2. UâAŽ '(*9†ÐV. W£Òw 100 `˜™9YD‘`˜™. 10 p¿Àklz{"¯ 32‹¯ 34‹¯ 36‹. ¯ 29 F GO ‹* O , › œ• M ”¯. ¯ 38 U†Ð9DÐv)]­]­.  ¯9rG X U²wYs9G. G Z Uœ©Ys"5éêÏé. ®¯cè5 35cm×25cm9*PÏjP z{v),cTúœC9ùab . v)•DŸc 950 p9¸%¬. c 50 p~v"Ïj9®v)]­¶. m ~ U ´ Y m × " _ 8   0.1m/s " 0.76m/s c œ  C  } § ]  U 95% ‹. ¯ 30 v)DÇ(©ª 0.762cm9 0.16 m/s). 94.4%‹93%‹93.8%9®L¯ 33‹¯ 35‹. Uâo]µ×·9ab JrÖ(x Ö). ,GÖ(z Ö)ê.]µ9ͯ 31 U_8 Ð VW"НU¼(x)Ysê.]µ9. ¯ 37‹¯ 39 PPC}¹AP]­¶ m9DÐÇÆ8Þcœâv)DÇ. Ýê.9xU6V;¯". ‹¯Uœ©5¼(z)Ysê.]µ9L _8ab Pž*c˜™VW9] µ€x@ãªר9±]µ~²³. “"9LR¹S8žC“¹½S - 20 -.

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(96) 0.57m) i 12 Dia. (cm). Re. 9984 7488 1.319 4992 3284 4326 0.762 3263 1214. ¯ 44 -.¤¥}¹¯(©ª 1.319cm9 0.095m). FG Jb,˜™b}¹ x ˆ‰Š ‚ƒ„„‘ ’“” †‡ ‹Œ Ž(sec) ŒŽ •–}~ Ž(cm) (cm) 1.283 1.279 1.276 1.275 1.629 1.627 1.624. 90.3 67.1 44.4 29.2 88.9 66.7 24.8. 94.4 69.9 46.1 28 91.6 65.3 25.2. A− B B. (%) -4.34 -4.01 -3.69 +4.29 -2.94 +2.14 -1.59. . B†ý‘‚Dz{9y¿Àklz{. tu-."z{8â J²¾×· 9¸ˆ‰½¨qª€«‹‹Å. ŸÉ9lo 95%áMð¶m ¯ 45 -.¤¥}¹¯(©ª 1.319cm9  ¢všH,šQæ" 0.76m) Î Î ¯ 48~¯ 55 Þ¯89min , max ]. ¼UÞVW4Æ/¡G' ø9,qª€«š€,š«ŸÉ9average @¼²¾,qª€«ù½óô. s‚9Y exp U˜™*BC²¾v)D Ç"¯8˜™b˜U ¡G'ø9. ¯ 46 -.¤¥}¹¯(©ª 0.762cm9 0.16m). U/¡G'ø®¯"¯ 48‹¯ 50‹¯ 52‹ ¯ 54 ½ˆ‰s‚¬9ùˆ‰âš€ VW,qªVW9,޼s‚. ¯ 49‹¯ 51‹¯ 53‹¯ 55‹L}9 P 4¦PK^a®¯«âm»" Pž. yb­v˜™ 95%áMðv) æñ". ¯ 47 -.¤¥}¹¯(©ª 1.319cm9 - 23 -.

(97) ¯ 48  0.1 m/s v)-.y(Ž¼ s‚). ¯ 52  0.57 m/s v)-.y(Ž¼ s‚). ¯ 49  0.1 m/s v)-.y. ¯ 53  0.57 m/s v)-.y. ¯ 50  0.25 m/s v)-.y(Ž¼ ¯ 54  0.76 m/s v)-.y(Ž¼ s‚). s‚). ¯ 51  0.25 m/s v)-.y. ¯ 55  0.76 m/s v)-.y â™_9:;(2009)´K 1.45 ¡. . JYú9¸ž»pq¿Àklz{t. u]­`æ“BÚ9f¸%abya - 24 -.

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(100) Ð9‚Dz{y÷ø­.  7%Pñ9ù˜›ôFG 1~3cm ø F9Û±ÉÕ". /P„‚Dz{¢I˜›68¶. m9abŸ$˜›IJ<=ÆÄÅ. *9rs6Õb*9j* Ys]­"„¤¥ž9. Ælo]­®¯€#$ƒ°%̶b. . 10 20 50 70 100 10 20 50 70 100 10 20 50 70 100 10 20 50 70 100. 7.3 14.5 36.3 50.7 72.5 14.5 29 72.5 101.5 145 9.7 19.3 48.2 67.5 96.4 19.4 38.6 96.5 135 193. !"#$%&'().  ab *¢ wK y -. z. {9¼˜›žß‡*+4VW9P. ˆ"‡ *U¾Ù9. ½²j*’“9*ˆk~67. [\[\9šÓ"š;U 0.284 ~. 1.22m/s9efqªU 0.3~0.5m9j*U. 10~100m"i 15 Uy•Dz{¼x˜ ¶·VW*OJKFG. “R‹ÄŽԉO9„

(101) ƒ°. o5 95%“R9ƒ„½Ÿdel .,Ã“Jä4MÕz{". 3.4 !"#$%&'() . °±(m) ²³†‡(m). !"#$%&'(). i 14 %4¹Èɘ›¶·VW9. ¼Öyz{*BC¤¥9P  - 25 -. i 15 y˜›VW;EFG Diameter Velocity Deeper (m) (m/s) (m) 10 20 40 0.284 60 0.3 80 100 10 1.22 20. Distance (m) 2.7 5.5 11.1 16.7 22.2 27.7 12 24. (m) ±0.2 ±0.3 ±0.52 ±0.95 ±1.2 ±1.5 ±0.44 ±0.9.

(102) 0.284. 0.5. 1.22. 40 60 80 100 10 20 40 60 80 100 10 20 40 60 80 100. 47.7 71.6 95.3 119.1 2.1 4.4 8.5 12.8 17.2 21.4 9.2 18.5 36.9 55.5 73.8 92.2. 4‹ äabìtu-.U ©±ß. ±2.2 ±3.3 ±4.6 ±5.79 ±0.02 ±0.38 ±0.4 ±0.7 ±1 ±1.1 ±0.6 ±1.1 ±2 ±3.1 ±3.86 ±4.8. Ys½“Ã9-.,Š‚YsO. ()IÐ*,ß*y". 234567189:%&;<= )$./@D./AB# C. 1‹ v)˜™¤¥9¿Àklz{. v)FG P+4ˆ‰Š‚‹Œ‚‹ Ž(‚‹‚‹s‚‚Dz{'. (y“R¬9 e ;FGe€9ÈÉab*ya". *+ ,-./01. 2‹ ¿Àklz{©ª½¾9Ƭ. 234567189:%&. ¸H€9ùžßef}˜™4. ;<=>)? ./@AB# C. z{ß$½¾Ù9_¬O½ FÙ". µê.¬9 PÁÂC9L¨. 8v†‡89,_

(103) ef‹z{. ½  ~ ç   ¬ "Y  L ¨ . ‚¬9%¬˜™š€MÊ". q©ª€«*‰". pq½~jãfÐiÑ9©C. 1‹ v) x , z ÖYsv)] 3‹ €efM¿Àklz{9rs pq©ª9v)]µ®¯€«x. <=%½ de9YÄÅÆs. Ã9v)]µ®¯€«#$%p. 9:;(2009)89c+4‘no. 2‹ v)]µê.¯89žÀ›. ÒwHfðs÷9 ˆ". œ• 5000 P9x Öê.]µ9 4‹ 9:;(2009)8´C9쁂”. L²¾DÇJ‰4Æ 1 ¡©ª®¯. • P 1.45 ¡H³ Jv)-.z. ñ9c³Ó ÓM:;ê.~v. {9 Pyv)-.FG9. µ¶·“¹½S8". 8g Ý49ùìlo©ª. „®¯ñ9H²³›œ•c9]. _˜fµZLR»nopqtu. M5pqtu-.9cP¤Ì. 3‹ -.zw P4ý‘‚DzZ9ˆ. M%A€9%)¢7>Ý49ߟ $B† L˜™_˜". ‰Š‚‹Œ‚‹‚Ž(‚ž. ,-EF. ‰¡•YB9ž;Ã. ^˜5^P,Òw9®»Pqª. 9ù‚ 4?|kl‚”• P. ã5kmnopqtu9˜™. d9‚”•¡•“ò®¯¹Ó ¹«±‘ noäU9Yqª€. Ãd«91.45 ¡Ã‚”•õ45 H9fÕ Ð˜™gŸ$ ,ST2. 8VW®¯". É9§Íj*,. - 26 -. !g 0Òw.

(104) òPB'(˜™¤¥". Î Î ˜™Òw9£Pq9B†. ý‘Vòo9&hÒw˜ ™9¢ì˜™ Aò9â vq. ‚,Ãðij9x €k´E˜™™. •9 ´E˜™'(O"þ9˜›. 89*+4½P@m×oÍ[y 9Ÿ$»×Ø". 1.. 2.. 3.. 4.. 5.. 6.. 7.. 8.. G+HIJK Adrain, R. J. (1991) Particle-imaging techniques for experimental fluid mechanics, Ann. Rev. Fluid Mech., Vol.23, pp.261-304. Brown, Phillip P. and Lawler, Desmond F. Sphere Drag and Settling Velocity Revisited. J. Envir. Engrg. Vol. 129, Issue 3, pp. 222-231, 2003. Clift, R.; Grace, J. R., and Weber. M. E., Bubbles, Drops, and Particles. New York: Academic Press, 1978. Doh D.H., T.G. Hwang, H.J. Jo, M. Tsubohura, B. Piao, S. Kuroda, T. Kobayashi, K. Tanaka and M. Takei (2007) Analysis of fluid elastic-structure interactions in an impinging jet with a dynamic 3D-PTV and non-contact 6D-motion tracking system, Chemical Eng. J., Vol.130, pp.153-164. Flemmer, R. L. C. and Banks, C. L., On the Drag Coefficient of a Sphere. Powder., Fuat Odar and Wallis S. Hamilton, “Forces on a sphere acceleration in a viscous fluid”, Journal of Fluid Mechanics, Vol.18(02), pp. 302-314, 1964. Fuat Odar, “Verification of the proposed equation for calculation of the forces on a sphere accelerating in a viscous fluid”, Journal of Fluid Mechanics, Vol.25(3), pp. 591-592, 1966. Hellmich, Ch., S. Scheiner,, B. Pichler and J. Eberhardsteiner (2006) Loading of soil-covered oil and gas pipelines due to. adverse soil settlements l Proection against thermal dilation-induced wear, involving geosynthetics, Computers and Geotechnics, Vol.33, pp.371-380. 9. Khalitov, D.A. and E.K. Longmire (2002) Simultaneous Two Phase PIV by two-parameter phase discrimination, Exp. in Fluids, Vol.32, pp.252-268. 10. Kiger, K. T. and C. Pan (2002) Suspension and turbulence modification effects of solid particulates on a horizontal turbulent channel flow, Journal of Turbulence. Vol.3, No.19, pp.1-21. 11. Kitagawa A., Y. Hagiwara and T Kouda (2007) PTV investigation of phase interaction in dispersed liquid-liquid two-phase turbulent swirling flow, Exp. in Fluids, Vol.42, pp.871-880. 12. Raffel, M.; C.E. Willert and J. Kompenhans (1998) Particle Image Velocimetry, Springer, Berlin, p.7. 13. R.L.C Flemmer and C.L. Banks, “On the drag coefficeient of a sphere.”, Powder Technology, Vol.48(3), pp. 217-221, 1986. 14. Robert G. Watts and Ricardo Ferrer, “The lateral force force on a spinning sphere: Aerodynamics of a curveball.”American Journal of Physics, Vol.55(1), pp. 40-44, 1987. 15. Shen L, Song X, Murai Y, Iguchi M, Yamamoto F (2001) Velocity and size measurement of falling particles with fuzzy PTV, Flow Meas. & Inst., Vol.12, pp.191-199. 16. Turton R. and Levenspiel, “A short note on the drag correlation for sphere”, Powder Technology, Vol.47(1), pp. 83-86, 1986. 17. You C, H Zhao, H Qi and X Xu (2004) Simultaneous measurement of velocities and size distribution of fine atmospheric aerosols based on image processing and PTV techniques, Atmospheric Environment, Vol.39, pp.3015-3021. 18. Westerweel, J. (1997) Fundamentals of digital particle image velocimetry, Meas. Sci. Technol, Vol.8, pp.1379-1392. 19. Willert, C.E. and M. Gharib (1991). - 27 -.

(105) Digital particle image velocimetry, Exp. in Fluids, Vol.10, pp.181-193.. 20. mno9kl-o

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參考文獻

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