Mathematical expression of pressure gradient in the flow of spherical capsules less dense than water

International Journal of Multiphase Flow

Volumn 33, Issue 6, 2007, Pages 658-674

  Teke, Ismail ^a   Ulusarslan, Deniz ^a  

^a YILDIZ TECHNICAL UNIVERSITY   (Turkey)

Author keywords

Cooling systems; Mathematical model; Pipeline; Pressure drop; Spherical capsule train; Two phase flow

Indexed keywords

COOLING SYSTEMS; FLOW PATTERNS; MATHEMATICAL MODELS; PRESSURE DROP; PRESSURE GRADIENT;

SPHERICAL CAPSULE TRAIN; TRANSPORT CONCENTRATION;

TWO PHASE FLOW;

COOLING SYSTEMS; FLOW PATTERNS; MATHEMATICAL MODELS; PRESSURE DROP; PRESSURE GRADIENT; TWO PHASE FLOW;

EID: 34247525920     PISSN: 03019322     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.ijmultiphaseflow.2006.11.002     Document Type: Article

References (21)

1. Agarwal V.C., and Mishra R. Optimal design of a multi-stage capsule handling multi-phase pipeline. International Journal of Pressure Vessels and Piping 75 (1998) 27-35
2. Chow, K.W., 1979. An experimental study of the hydrodynamic transport of spherical and cylindrical capsules in a vertical pipeline. Master Thesis. Mc Master University, Canada.
3. Ellis H.S. The pipeline flow of capsules - Part 3 - An experimental investigation of the transport by water of single cylindrical and spherical capsules with density equal to that of the water. The Canadian Journal of Chemical Engineering 42 (1964) 1-8
4. Ellis H.S. The pipeline flow of capsules - Part 5 - An experimental investigation of the transport by water of single spherical capsules with density greater than that of the water. The Canadian Journal of Chemical Engineering 42 (1964) 155-161
5. Ellis H.S., and Bolt L.H. The pipeline flow of capsules - Part 7 - An experimental investigation of the transport by two oils of single cylindrical and spherical capsules with density equal to that of the oil. The Canadian Journal of Chemical Engineering 42 (1964) 201-210
6. Ellis H.S., and Kruyer J. Minimizing the pressure gradients in capsule pipelines. The Canadian Journal of Chemical Engineering 52 (1974) 457-462
7. Ellis H.S., Kruyer J., and Roehl A.A. The hydrodynamics of spherical capsules. The Canadian Journal of Chemical Engineering 53 (1975) 119-125
8. Govier G.W., and Aziz K. The Flow of Complex Mixtures in Pipes (1972), Van Nostrand Reinhold Company, Canada pp. 712-755
9. Kawada, Y., Tsukada, Y., Kobayashi, M., Shirakashi, M., 1998. Measurement of properties of ice particles in water affecting ice-water mixture flow in pipes. In: Proceedings of 4th KSME-JSME Liquids Engineering Conference. Pusan, Korea, 18-21 October, pp. 373-376.
10. Kawada, Y., Shirakashi, M., Yamada, S., 1999. Flow characteristics of ice-water slurry in a horizontal circular pipe. In: Proceedings of the 3rd ASME-JSME Joint Fluids Engineering Conference. San Francisco, California, 18-23 July, pp. 1-5.
11. Kroonenberg H.H. A mathematical model for concentric horizontal capsule transport. The Canadian Journal of Chemical Engineering 56 (1978) 538-543
12. Kruyer J., and Ellis H.S. Predicting the required liquid throughput from the capsule velocity and capsule pressure gradient in capsule pipelines. The Canadian Journal of Chemical Engineering 52 (1974) 215-221
13. Latto B., Round G.F., and Anzenavs R. Drag coefficients and pressure drops for hydrodynamically suspended spheres in a vertical tube with and without polymer addition. The Canadian Journal of Chemical Engineering 51 (1973) 536-541
14. Latto B., and Lee S.W. The drag and pressure drops for hydrodynamically suspended cylinders in a vertical tube with and without polymer addition. The Canadian Journal of Chemical Engineering 56 (1978) 304-309
15. Round G.F., and Bolt L.H. The pipeline flow of capsules - Part 8 - An experimental investigation of the transport in oil of single, denser than oil, spherical and cylindrical capsules. The Canadian Journal of Chemical Engineering 43 (1965) 197-205
16. Snoek, C.W., Walosik, S., Gupta, R.P., 1993. Ice slurry transport for district cooling networks. Hydrotransport 12. Brugge, Belgium, 28-30 September, pp. 511-524.
17. Takahashi, H., Masuyama, T., Kawashima, T., 1991. Flow properties for slurries of particles with densities close to that of water. In: Proceedings of the 1st ASME-JSME Fluid Engineering Conference. Liquid-Solid Flows. FED 118, pp. 103-108.
18. Ulusarslan, D., 2003. The investigation of sphere with density equal to that of the ice and water mixture flow in circular cross section pipes. PhD Thesis. Yildiz Technical University. İstanbul, Turkey.
19. Ulusarslan D., and Teke I. An experimental investigation of the capsule velocity, concentration rate and the spacing between the capsules for spherical capsule train flow in a horizontal circular pipe. Powder Technology 159 (2005) 27-34
20. Ulusarslan D., and Teke I. An experimental determination of pressure drops in the flow of low density spherical capsule train inside horizontal pipes. Experimental Thermal and Fluid Science 30 (2006) 233-241
21. Vlasak P. An experimental investigation of capsules of anomalous shape conveyed by liquid in a pipe. Powder Technology 104 (1999) 207-213