Forced convection heat transfer from a sphere to non-Newtonian power law fluids

AIChE Journal

Volumn 52, Issue 11, 2006, Pages 3658-3667

  Dhole, S D ^a   Chhabra, R P ^a   Eswaran, V ^a  

^a INDIAN INSTITUTE OF TECHNOLOGY KANPUR   (India)

Author keywords

Nusselt number; Power law index; Prandtl number; Reynolds number; Sphere

Indexed keywords

BOUNDARY LAYERS; FINITE VOLUME METHOD; NUMERICAL METHODS; NUSSELT NUMBER; PRANDTL NUMBER; REYNOLDS NUMBER;

PECLET NUMBER; POWER LAW INDEX; SPHERE;

FORCED CONVECTION;

BOUNDARY LAYERS; FINITE VOLUME METHOD; FORCED CONVECTION; NUMERICAL METHODS; NUSSELT NUMBER; PRANDTL NUMBER; REYNOLDS NUMBER;

EID: 33750543561     PISSN: 00011541     EISSN: 15475905     Source Type: Journal    
DOI: 10.1002/aic.10983     Document Type: Article

References (43)

1. Clift R, Grace JR, Weber ME. Bubbles, Drops, and Particles. New York: Academic Press; 1978.
2. Coulson JM, Richardson JF. Chemical Engineering. 4th Edition. New York: Pergamon Press; 1990;1.
3. Churchill SW, Usagi R. A general expression for the correlation of rates of transfer and other phenomena. AIChE J. 1972;18:1121-1128.
4. Chhabra RP, Richardson JF. Non-Newtonian Flow in the Process Industries; Fundamental and Engineering Applications. Oxford, UK: Butterworth-Heinemann; 1999.
5. Chhabra RP. Bubbles, Drops and Particles in Non-Newtonian Fluids. 2nd Edition. Boca Raton, FL: CRC Press; 2006.
6. Renaud M, Mauret E, Chhabra RP. Power law fluid flow over a sphere; average shear rate and drag coefficient. Can J Chem Eng. 2004;82:1066-1070.
7. Dhole SD, Chhabra RP, Eswaran V. Flow of power law fluids past a sphere at intermediate Reynolds numbers. Ind Eng Chem Res. 2006;45:4773-4781.
8. Acrivos A, Shah MJ, Petersen EE. Momentum and heat transfer in laminar boundary layer flows of non-Newtonian fluids past external surfaces. AIChE J. 1960;6:312-317.
9. Bizzell GD, Slattery JC. Non-Newtonian boundary layer flow. Chem Eng Sci. 1962;17:777-782.
10. Lin FN, Chern S Y. Laminar boundary layer flow of non-Newtonian fluids. Int J Heat Mass Transfer. 1979;22:1323-1329.
11. Nakayama A. Integral methods for forced convection heat transfer in power law non-Newtonian fluids. In: Cheremisinoff NP, ed. Encyclopedia of Fluid Mechanics. Houston, TX: Gulf Publishers; 1988;7:305-339.
12. Nakayama A, Shenoy AV, Koyama H. An analysis for forced convection heat transfer from external surfaces to non-Newtonian fluids. Warme Stoffubertrag. 1986;20:219-227.
13. Shenoy AV, Nakayama A. Forced convection heat transfer from axisymmetric bodies to non-Newtonian fluids. Can J Chem Eng. 1986;64:680-686.
14. Nakayama A, Shenoy AV, Koyama H. An analysis for friction and heat transfer characteristics of power law non-Newtonian fluid flows past bodies of arbitrary geometrical configuration. Warme Stoffubertrag. 1988;22;29-36.
15. Kim HW, Jeng DR, DeWitt KJ. Momentum and heat transfer in power law fluid flow over two dimensional or axisymmetrical bodies. Int J Heat Mass Transfer. 1983;26;245-259.
16. Kawase Y, Ulbrecht J. Newtonian fluid sphere with rigid or mobile interface in a shear-thinning liquid; drag and mass transfer. Chem Eng Commun. 1981;8:213-231.
17. Westerberg KW, Finlayson BA. Heat transfer to spheres from a polymer melt. Numer Heat Transfer A. 1990;17:329-348.
18. Sharma OP, Bhatnagar RK. Low Reynolds Dumber heat transfer from a sphere in a laminar flow of non-Newtoaian fluids. Z Agnew Math Mech. 1975;55;235-242.
19. Kawase Y, Mashelkar RA, Ulbrecht J. Particle liquid mass transfer in viscoelastic media. Int J Multiphase Flow. 1982;8;433-438.
20. Kawase Y, Ulbrecht J. Mass transfer from spheres submerged in Newtonian and non-Newtonian fluids. Electrochim Acta. 1983;28;643-650.
21. Kawase Y, Ulbrecht J. Non-Newtonian fluid-particle mass transfer in granular beds. AIChE J. 1983;29;689-691.
22. Ghosh UK, Kumar S, Upadhyay SN. Mass transfer from spherical and nonspherical particles to non-Newtonian fluids. Polym-Plast Technol Eng. 1992;31;271-290.
23. Chhabra RP. Heat and mass transfer in ideologically complex systems. In: Siginer DA, DeKee D, Chhabra RP, eds. Advances in the Rheology and Flow of Non-Newtonian Fluids. Amsterdam: Elsevier; 1999:Chapter 39.
24. Kumar S, Tripahti PK, Upadhyay SN. On the mass transfer in non-Newtonian fluids. I. Transfer from spheres to power law fluids. Lett Heat Mass Transfer. 1980;7;43-53.
25. Ogawa K, Kudora C, Inoue I. Forced convective mass transfer in viscoelastic fluid around a sphere and a cylinder. J Chem Eng Jpn. 1984;17;654-656.
26. Hyde MA, Donatelli AA. Mass transfer from a solid sphere to power law fluids in creeping flow. Ind Eng Chem Fundam. 1983;22;500-502.
27. Johnson TA, Patel VC. Flow past a sphere up to Reynolds number of 300. J Fluid Mech. 1999;378;19-70.
28. Dhole SD, Chhabra RP, Eswaran V. A numerical study on the forced convection heat transfer from an isothermal and isoflux sphere in the steady-symmetric flow regime. Int J Heat Mass Transfer. 2006;49;984-994.
29. Eswaran V, Prakash S. A finite volume method for Navier-Stokes equations. Proceedings of the Third Asian CFD Conference, Bangalore, India; 1998:127-136.
30. Sharma A, Eswaran V. A finite volume method. In: Muralidhar K, Sundararajan T, eds. Computational Fluid Flow and Heat Transfer. New Delhi, India: Narosa Publishing House; 2003:445-482.
31. Bird RB, Stewart WE, Lightfoot EN. Transport Phenomena. 2nd Edition. New York: Wiley; 2002.
32. Orlanski I. A simple boundary condition for unbounded hyperbolic flows. J Comp Phys. 1976;21:251-269.
33. Leonard BP. A stable and accurate convective modeling procedure based on quadratic upstream interpolation. Comput Methods Appl Mech Eng. 1979;19:59-98.
34. Feng ZG, Michaelides EE. Drag coefficients of viscous spheres at intermediate and high Reynolds numbers. Trans ASME J Fluid Eng. 2001;123:841-849.
35. Tripathi A, Chhabra RP, Sundararajan T. Power-law fluid flow over spheroidal particles. Ind Eng Chem Res. 1994;33:403-410.
36. Tripathi A, Chhabra RP. Drag on spheroidal particles in dilatant fluids. AIChE J. 1995;41:728-731.
37. Graham DI, Jones TER. Settling and transport of spherical particles in power law fluids at finite Reynolds number. J Non-Newtonian Fluid Mech. 1994;54:465-488.
38. D'Alessio SJD, Pascal JP. Steady flow of a power law fluid past a cylinder. Acta Mech. 1996;117:87-100.
39. Butcher TA, Irvine TF Jr. Use of the falling ball viscometer to obtain flow curves for inelastic, non-Newtonian fluids. J Non-Newtonian Fluid Mech. 1990;36:51-70.
40. Feng ZG, Michaelides EE. A numerical study on the transient heat transfer from a sphere at high Reynolds and Peclet numbers. Int J Heat Mass Transfer. 2000;43:219-229.
41. Acrivos A. A note on the heat or mass transfer from a small particle freely suspended in linear shear field. J Fluid Mech. 1980;98:299-304.
42. Whitaker S. Forced convection heat transfer correlations for flow in pipes, past flat plates, single cylinders, single spheres and flow in packed beds and tube bundles. AIChE J. 1972;18:361-371.
43. Yamanaka A, Mitsuishi N. Experimental study on combined forced and natural convective heat transfer from spheres to power law fluids. Heat Transfer Jpn Res. 1977;6:85-91.