Steady forced convection heat transfer from a heated circular cylinder to power-law fluids

International Journal of Heat and Mass Transfer

Volumn 50, Issue 5-6, 2007, Pages 977-990

  Bharti, Ram Prakash ^a   Chhabra, R P ^a   Eswaran, V ^a  

^a INDIAN INSTITUTE OF TECHNOLOGY KANPUR   (India)

Author keywords

Circular cylinder; Constant wall temperature; Nusselt number; Power law fluids; Shear thickening; Shear thinning; Steady flow; Uniform heat flux

Indexed keywords

CORRELATION METHODS; FINITE VOLUME METHOD; HEAT FLUX; INCOMPRESSIBLE FLOW; NUSSELT NUMBER; STEADY FLOW;

CARTESIAN GRID; CIRCULAR CYLINDERS; CONSTANT WALL TEMPERATURE; HEATED CIRCULAR CYLINDERS; POWER LAW FLUIDS; SHEAR THINNING; STEADY FORCED CONVECTION; UNIFORM HEAT FLUX;

FORCED CONVECTION;

CORRELATION METHODS; FINITE VOLUME METHOD; FORCED CONVECTION; HEAT FLUX; INCOMPRESSIBLE FLOW; NUSSELT NUMBER; STEADY FLOW;

EID: 33846629022     PISSN: 00179310     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.ijheatmasstransfer.2006.08.008     Document Type: Article

References (59)

1. Ahmad R.A. Steady-state numerical solution of the Navier-Stokes and energy equations around a horizontal cylinder at moderate Reynolds numbers from 100 to 500. Heat Transfer Eng. 17 (1996) 31-81
2. Chhabra R.P. Bubbles, Drops and Particles in Non-Newtonian Fluids. second ed. (2006), CRC Press, Boca Raton, FL
3. Chhabra R.P. Hydrodynamics of non-spherical particles in non-newtonian fluids. In: Cheremisinoff N.P., and Cheremisinoff P.N. (Eds). Handbook of Applied Polymer Processing Technology (1996), Marcel Dekker, New York Chapter 1
4. Chhabra R.P. Heat and mass transfer in rheologically complex systems. In: Singer D., De Kee D., and Chhabra R.P. (Eds). Advances in the Rheology and Flow of Non-Newtonian Fluids (1999), Elsevier, Amsterdam Chapter 39
5. Clift R., Grace J., and Weber M.E. Bubbles, Drops and Particles (1978), Academic Press, New York, USA
6. -4 ≤ Re ≤ 200. Int. J. Heat Mass Transfer 41 (1998) 3409-3430
7. Morgan V.T. The overall convective heat transfer from smooth circular cylinders. Adv. Heat Transfer 11 (1975) 199-264
8. Williamson C.H.K. Vortex dynamics in the cylinder wake. Ann. Rev. Fluid Mech. 28 (1996) 477-539
9. Zdravkovich M.M. Flow Around Circular Cylinder vol. 1, Fundamentals (1997), Oxford University Press, New York, USA
10. Zdravkovich M.M. Flow Around Circular Cylinder vol. 2, Applications (2003), Oxford University Press, New York, USA
11. Zukauskas A. Convective heat transfer in cross flow. In: Zukauskas A., Kakac S., Shah R.K., and Aung W. (Eds). Handbook of Single-Phase Convective Heat Transfer (1987), Wiley, New York, USA 6.1-6.45
12. Carreau P.J., De Kee D., and Chhabra R.P. Rheology of Polymeric Systems (1997), Hanser-Gardner: Munich, Germany
13. Chhabra R.P., and Richardson J.F. Non-Newtonian Flow in the Process Industries: Fundamentals and Engineering Applications (1999), Butterworth-Heinemann, Oxford
14. Talwar K.K., and Khomani B. Flow of viscoelastic fluids past periodic square arrays of cylinders: inertial and shear-thinning viscosity and elasticity effects. J. Non-Newtonian Fluid Mech. 57 (1995) 177-202
15. Liu A.W., Bornside D.E., Armstrong R.C., and Brown R.A. Viscoelastic flow of polymer solutions around a periodic, linear array of cylinders: comparisons of predictions for microstructure and flow field. J. Non-Newtonian Fluid Mech. 77 (1998) 153-190
16. Tanner R.I. Stokes paradox for power-law flow around a cylinder. J. Non-Newtonian Fluid Mech. 50 (1993) 217-224
17. Marusic-Paloka E. On the Stokes paradox for power-law fluids. Z. Angew. Math. Mech. 81 (2001) 31-36
18. Whitney M.J., and Rodin G.J. Force-velocity relationships for rigid bodies translating through unbounded shear-thinning power-law fluids. Int. J. Non-Linear Mech. 36 (2001) 947-953
19. Ferreira J.M., and Chhabra R.P. Analytical study of drag and mass transfer in creeping power-law flow across tube banks. Ind. Eng. Chem. Res. 43 (2004) 3439-3450
20. D'Alessio S.J.D., and Pascal J.P. Steady flow of a power-law fluid past a cylinder. Acta Mech. 117 (1996) 87-100
21. Chhabra R.P., Soares A.A., and Ferreira J.M. Steady non-Newtonian flow past a circular cylinder: a numerical study. Acta Mech. 172 (2004) 1-16
22. Soares A.A., Ferreira J.M., and Chhabra R.P. Flow and forced convection heat transfer in cross flow of non-Newtonian fluids over a circular cylinder. Ind. Eng. Chem. Res. 44 (2005) 5815-5827
23. Bharti R.P., Chhabra R.P., and Eswaran V. Steady flow of power-law fluids across a circular cylinder. Can. J. Chem. Eng. 84 (2006) 406-421
24. D'Alessio S.J.D., and Finlay L.A. Power-law flow past a cylinder at large distances. Ind. Eng. Chem. Res. 43 (2004) 8407-8410
25. Sivakumar P., Bharti R.P., and Chhabra R.P. Effect of power-law index on critical parameters for power-law flow across an unconfined circular cylinder. Chem. Eng. Sci. 61 (2006) 6035-6046
26. Hsu J.-P., Shie C.-F., and Tseng S. Sedimentation of a cylindrical particle in a Carreau fluid. J. Colloid Interface Sci. 286 (2005) 392-399
27. Shah M.J., Peterson E.E., and Acrivos A. Heat transfer from a cylinder to a power-law non-Newtonian fluid. AICHE J. 8 (1962) 542-549
28. Serth R.W., and Kiser K.M. A solution of 2-dimensional boundary-layer equations for an Ostwald-de Waele fluid. Chem. Eng. Sci. 22 (1967) 945-956
29. Mizushina T., and Usui H. Approximate solution of the boundary layer equations for the flow of a non-Newtonian fluid around a circular cylinder. Heat Transfer Jap. Res. 7 (1978) 83-92
30. Wang T.-Y., and Kleinstreuer C. Local skin friction and heat transfer in combined free-forced convection from a cylinder or sphere to a power-law fluid. Int. J. Heat Fluid Flow 9 (1988) 182-187
31. Khan W.A., Culham J.R., and Yovanovich M.M. Fluid flow and heat transfer in power-law fluids across circular cylinders-analytical study. J. Heat Transfer 128 (2006) 870-878
32. K. Takahashi, M. Maeda, S. Ikai, Experimental study on heat transfer from a cylinder submerged in a non-Newtonian fluid, Die dem Nahenungsansatz von K. Pohlhausen genugen, Lilenthal Bericht, 510, 1977, pp. 335-339.
33. Mizushina T., Usui H., Veno K., and Kato T. Experiments of pseudoplastic fluid cross flow around a circular cylinder. Heat Transfer Jap. Res. 7 (1978) 92-101
34. Kumar S., Mall B.K., and Upadhyay S.N. On the mass transfer in non-Newtonian fluids: II Transfer from cylinders to power-law fluids. Lett. Heat Mass Transfer 7 (1980) 55-64
35. Ghosh U.K., Gupta S.N., Kumar S., and Upadhyay S.N. Mass transfer in cross flow of non-Newtonian fluids around a circular cylinder. Int. J. Heat Mass Transfer 29 (1986) 955-960
36. Ghosh U.K., Upadhyay S.N., and Chhabra R.P. Heat and mass transfer from immersed bodies to non-Newtonian fluids. Adv. Heat Transfer 25 (1994) 251-319
37. Rao B.K. Heat transfer to non-Newtonian flows over a cylinder in cross flow. Int. J. Heat Fluid Flow 21 (2000) 693-700
38. P.M. Coelho, F.T. Pinho, A.H. Rodrigues, Flow of shear-thinning fluids around a cylinder: vortex shedding and drag characteristics, 8th International Symposium on Applications of Laser Techniques to Fluid Mechanics, July 8-11, Lisbon, Portugal, vol. II, 1996, 35.5.1-35.5.8.
39. Coelho P.M., and Pinho F.T. Vortex shedding in cylinder flow of shear-thinning fluids. I. Identification and demarcation of flow regime. J. Non-Newtonian Fluid Mech. 110 (2003) 143-176
40. Also see. Coelho P.M., and Pinho F.T. Vortex shedding in cylinder flow of shear-thinning fluids. II. Flow characteristics. J. Non-Newtonian Fluid Mech. 110 (2003) 177-193
41. Coelho P.M., and Pinho F.T. Vortex shedding in cylinder flow of shear-thinning fluids. III. Pressure measurements. J. Non-Newtonian Fluid Mech. 121 (2004) 55-68
42. Ogawa K., Kuroda C., and Inoue I. Forced-convective mass transfer in viscoelastic fluid around a sphere and a cylinder. J. Chem. Eng. Jap. 17 (1984) 654-656
43. Rodrigue D., Chhabra R.P., and De Kee D. Drag on non-spherical particles in non-Newtonian fluids. Can. J. Chem. Eng. 72 (1994) 588-593
44. Chhabra R.P., Comiti J., and Machac I. Flow of non-Newtonian fluids in fixed and fluidized beds: a review. Chem. Eng. Sci. 56 (2001) 1-27
45. Gupta A.K., Sharma A., Chhabra R.P., and Eswaran V. Two-dimensional steady flow of a power-law fluid past a square cylinder in a plane channel: momentum and heat transfer characteristics. Ind. Eng. Chem. Res. 42 (2003) 5674-5686
46. Paliwal B., Sharma A., Chhabra R.P., and Eswaran V. Power-law fluid flow past a square cylinder: momentum and heat transfer characteristics. Chem. Eng. Sci. 58 (2003) 5315-5329
47. S.D. Dhole, R.P. Chhabra, V. Eswaran, Forced convection heat transfer from a sphere to non-Newtonian power law fluids, AICHE (2006) in press, doi:10.1002/aic.10983.
48. Mangadoddy N., Ram Prakash, Chhabra R.P., and Eswaran V. Forced convection in cross flow of power law fluids over a tube bank. Chem. Eng. Sci. 59 (2004) 2213-2222
49. Bird R.B., Stewart W.E., and Lightfoot E.N. Transport Phenomena. second ed. (2002), John Wiley & Sons Inc., New York
50. R.P. Bharti, R.P. Chhabra, V. Eswaran, A numerical study of the steady forced convection heat transfer from an unconfined circular cylinder, Heat Mass Transfer (2006) in press. 10.1007/s00231-006-0155-1.
51. V. Eswaran, S. Prakash, A finite volume method for Navier-Stokes equations, Proceedings of 3rd Asian CFD Conference, Bangalore, India, vol. 1, 1998, pp. 127-136.
52. Hayase T., Humphrey J.A.C., and Greif R. A consistently formulated QUICK scheme for fast and stable convergence using finite volume iterative calculation procedures. J. Comput. Phys. 98 (1992) 108-118
53. Sharma A., and Eswaran V. A finite volume method. In: Muralidhar K., and Sundararajan T. (Eds). Computational Fluid Flow and Heat Transfer (2003), Narosa Publishing House, New Delhi 445-482
54. Sharma A., and Eswaran V. Effect of channel-confinement and aiding/opposing buoyancy on the two-dimensional laminar flow and heat transfer across a square cylinder. Int. J. Heat Mass Transfer 48 (2005) 5310-5322
55. Comiti J., Montillet A., Seguin D., and Hilal M. Modelling of power-law liquid-solid mass transfer in packed beds in Darcy regime. Chem. Eng. J. 89 (2002) 29-36
56. Peev G., Nikolova A., and Todorova D. Mass transfer from solid particles to power-law non-Newtonian fluid in granular bed at low Reynolds numbers. Chem. Eng. J. 88 (2002) 119-225
57. Shukla R., Dhole S.D., Chhabra R.P., and Eswaran V. Convective heat transfer for power law liquids in packed and fluidised beds of spheres. Chem. Eng. Sci. 59 (2004) 645-659
58. Rao B.K., Phillips B.J., and Andrews J. Heat transfer to viscoelastic polymer solutions flowing over a smooth cylinder. Appl. Mech. Eng. 1 (1996) 355-365
59. Spelt P.D.M., Selerland T., Lawrence C.J., and Lee P.D. Flow of elastic non-Newtonian fluids through arrays of aligned cylinders, Part 1. Creeping flows. J. Eng. Math. 51 (2005) 57-80