Heat transfer to power-law fluids from a heated square cylinder

Numerical Heat Transfer; Part A: Applications

Volumn 52, Issue 2, 2007, Pages 185-201

  Dhiman, A K ^a   Chhabra, R P ^a   Eswaran, V ^a  

^a INDIAN INSTITUTE OF TECHNOLOGY KANPUR   (India)

Author keywords

[No Author keywords available]

Indexed keywords

BOUNDARY CONDITIONS; CYLINDERS (SHAPES); HEAT FLUX; ISOTHERMS; NUMERICAL METHODS; NUSSELT NUMBER; PECLET NUMBER; REYNOLDS NUMBER;

POWER LAW FLUIDS; POWER LAW INDEX;

HEAT CONVECTION;

EID: 34547297316     PISSN: 10407782     EISSN: 15210634     Source Type: Journal    
DOI: 10.1080/10407780601149870     Document Type: Article

References (45)

1. D. A. Caughey, Implicit Multigrid Computation of Unsteady Flows Past Cylinders of Square Cross-Section, Comput. Fluids, vol. 30, pp. 939-960, 2001.
2. R. W. Davis and E. F. Moore, A Numerical Study of Vortex Shedding from Rectangles, J. Fluid Mech., vol. 116, pp. 475-506, 1982.
3. R. Franke, W. Rodi, and B. Schnugh, Numerical Calculation of Laminar Vortex Shedding Flow Past Cylinders, J. Wind Eng. Ind. Aerodyn., vol. 35, pp. 237-257, 1990.
4. A. Okajima, Strouhal Numbers of Rectangular Cylinders, J. Fluid Mech., vol. 123, pp. 379-398, 1982.
5. J. Robichaux, S. Balachandar, and S. P. Vanka, Three-Dimensional Floquet Instability of the Wake of Square Cylinder, Phys. Fluids, vol. 11, pp. 560-578, 1999.
6. A. K. Saha, G. Biswas, and K. Muralidhar, Three-Dimensional Study of Flow past a Square Cylinder at Low Reynolds Numbers, Int. J. Heat Fluid Flow, vol. 24, pp. 54-66, 2003.
7. A. Sohankar, C. Norberg, and L. Davidson, Low-Reynolds-Number Flow around a Square Cylinder at Incidence: Study of Blockage, Onset of Vortex Shedding and Outlet Boundary Condition, Int. J. Numer. Meth. Fluids, vol. 26, pp. 39-56, 1998.
8. A. Sohankar, C. Norberg, and L. Davidson, Simulation of Three-Dimensional Flow around a Square Cylinder at Moderate Reynolds Numbers, Phys. Fluids, vol. 11, pp. 288-306, 1999.
9. T. G. Zaki, M. Sen, and M. Gad-el-Hak, Numerical and Experimental Investigation of Flow past a Freely Rotatable Square Cylinder, J. Fluids Struct., vol. 8, pp. 555-582, 1994.
10. M. M. Zdravkovich, Flow around Circular Cylinders: Fundamentals, vol. 1, Oxford University Press, New York, 1997.
11. M. M. Zdravkovich, Flow around Circular Cylinders; Applications, vol. 2, Oxford University Press, New York, 2003.
12. A. K. Dhiman, R. P. Chhabra, A. Sharma, and V. Eswaran, Effects of Reynolds and Prandtl Numbers on the Heat Transfer across a Square Cylinder in the Steady Flow Regime, Numer. Heat Transfer A, vol. 49, pp. 717-731, 2006.
13. A. K. Dhiman, R. P. Chhabra, and V. Eswaran, Flow and Heat Transfer across a Confined Square Cylinder in the Steady Flow Regime: Effect of Peclet Number, Int. J. Heat Mass Transfer, vol. 48, pp. 4598-4614, 2005.
14. A. K. Dhiman, R. P. Chhabra, and V. Eswaran, Effect of Peclet Number on the Heat Transfer across a Square Cylinder in the Steady Confined Channel Flow Regime, Proc. 18th Natl. and 7th ISHMT-ASME Heat and Mass Transfer Conf., Indian Institute of Technology Guwahati, India, 2006.
15. R. P. Chhabra, Bubbles, Drops and Particles in Non-Newtonian Fluids, 2nd ed., CRC Press, Boca Raton, FL, 2006.
16. R. P. Chhabra and J. F. Richardson, Non-Newtonian Flow in the Process Industries, Butterworth-Heinemann, Oxford, 1999.
17. M. Lamsaadi, M. Naimi, M. Hasnaoui, and M. Mamou, Natural Convection in a Vertical Rectangular Cavity Filled with a Non-Newtonian Power-Law Fluid and Subjected to a Horizontal Temperature Gradient, Numer. Heat Transfer A, vol. 49, pp. 969-990, 2006.
18. G. B. Kim and J. M. Hyun, Buoyant Convection of a Power-Law Fluid in an Enclosure Filled with Heat-Generating Porous Media, Numer. Heat Transfer A, vol. 45, pp. 569-582, 2004.
19. S. Syrjala, On the Analysis of Fluid Flow and Heat Transfer in the Melt Conveying Section of a Single-Screw Extruder, Numer. Heat Transfer A, vol. 35, pp. 25-47, 1999.
20. Y. H. Li, K.C. Lin, and T. F. Lin, Computation of Unstable Liquid Metal Convection in a Vertical Closed Cylinder Heated from the Side and Cooled from Above, Numer. Heat Transfer A, vol. 32, pp. 289-309, 1997.
21. P. Lin and Y. Jaluria, Numerical Approach to Model Heat Transfer in Polymer Melts Flowing in Constricted Channels, Numer. Heat Transfer A, vol. 30, pp. 103-123, 1996.
22. P.-Y. Wu, T.-J. Liu, and H.-M. Chang, Technical Note: Natural Convection of Non-Newtonian Liquids in a Cylindrical Enclosure, Numer. Heat Transfer A, vol. 25, pp. 363-371, 1994.
23. M. V. Karwe and Y. Jaluria, Numerical Simulation of Fluid Flow and Heat Transfer in a Single-Screw Extruder for Non-Newtonian Fluids, Numer. Heat Transfer A, vol. 17, pp. 167-190, 1990.
24. S. J. D. D'Alessio and J. P. Pascal, Steady Flow of a Power-Law Fluid past a Cylinder, Acta Mechk, vol. 117, pp. 87-100, 1996.
25. S. J. D. D'Alessio and L. A. Finlay, Power-Law Flow past a Cylinder at Large Distances, Ind. Eng. Chem. Res., vol. 43, pp. 8407-8410, 2004.
26. R. P. Chhabra, A. A. Soares, and J. M. Ferreira, Steady Non-Newtonian Flow past a Circular Cylinder: A Numerical Study, Acta Meek, vol. 172, pp. 1-16, 2004.
27. R. P. Bharti, R. P. Chhabra, and V. Eswaran, Steady Flow of Power-Law Fluids Across a Circular Cylinder, Can. J. Chem. Eng., vol. 84, pp. 406-421, 2006.
28. R. P. Bharti, R. P. Chhabra, and V. Eswaran, Steady Forced Convection Heat Transfer from a Heated Circular Cylinder to Power-Law Fluids, Int. J. Heat Mass Transfer, vol. 50, pp. 977-990, 2007.
29. R. I. Tanner, Stokes Paradox for Power-Law Fluids around a Cylinder, J. non-Newtonian Fluid Mevh, vol. 50, pp. 217-224, 1993.
30. M. J. Whitney and G. J. Rodin, Force-velocity Relationships for Rigid Bodies Translating Through Unbounded Shear-Thinning Power-Law Fluids, Int. J. Non-Linear Mech., vol. 36, pp. 947-953, 2001.
31. J. M. Ferreira and R. P. Chhabra, Analytical Study of Drag and Mass Transfer in Creeping Power-Law Flow across Tube Banks, Ind. Eng. Chem. Res., vol. 43, pp. 3439-3450, 2004.
32. E. Marusic-Paloka, On the Stokes Paradox for Power-Law Fluids, Z. Angew. Math. Meek, vol. 81, pp. 31-36, 2001.
33. A. A. Scares, J. M. Ferreira, and R. P. Chhabra, Flow and Forced Convection Heat Transfer in Cross-Flow of Non-Newtonian Fluids over a Circular Cylinder, Ind. Eng. Chem. Res., vol. 44, pp. 5815-5827, 2005.
34. P. Sivakumar, R. P. Bharti, and R. P. Chhabra, Effect of Power-Law Index on Critical Parameters for Power-Law Flow across an Unconfined Circular Cylinder, Chem. Eng. Sei., vol. 61, pp. 6035-6046, 2006.
35. B. Paliwal, A. Sharma, R. P. Chhabra, and V. Eswaran, Power Law Fluid Flow past a Square Cylinder: Momentum and Heat Transfer Characteristics, Chem. Eng. Sei., vol. 58, pp. 5315-5329,2003.
36. A. K. Gupta, A. Sharma, R. P. Chhabra, and V. Eswaran, 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., vol. 42, pp. 5674-5686, 2003.
37. A. K. Dhiman, R. P. Chhabra, and V. Eswaran, Steady Flow of Power-Law Fluids across a Square Cylinder, Chem. Eng. Res. Des., vol. 84, pp. 300-310, 2006.
38. A. K. Dhiman, N. Anjaiah, R. P. Chhabra, and V. Eswaran, Mixed Convection across a Square Cylinder to Newtonian and Power Law Fluids, Trans. ASME, J. Fluids Eng., Vol. 129, pp. 506-513, 2007.
39. V. Eswaran and S. Prakash, A Finite Volume Method for Navier-Stokes Equations, Proc. Third Asian CFD Conf., Bangalore, India, vol. 1, pp. 127-136, 1998.
40. A. Sharma and V. Eswaran, A Finite Volume Method, in K. Muralidhar and T. Sundararajan (eds.), Computational Fluid Flow and Heat Transfer, pp. 445-482, Narosa, New Delhi, 2003.
41. A. Sharma and V. Eswaran, Heat and Fluid Flow across a Square Cylinder in the Two-Dimensional Laminar Flow Regime, Numer. Heat Transfer A, vol. 45, pp. 247-269, 2004.
42. P. D. M. Spelt, T. Selerland, C. J. Lawrence, and P. D. Lee, Flows of Inelastic NonNewtonian Fluids Through Arrays of Aligned Cylinders. Part 1. Creeping Flows, J. Eng. Math., vol. 51, pp. 57-80, 2005.
43. T. A. Butcher and T. F. Irvine, Use of the Falling Ball Viscometer to Obtain Flow Curves for Inelastic, Non-Newtonian Fluids. J. Non-Newtonian Fluid Mech., vol. 36, pp. 51-70, 1990.
44. D. I. Graham and T. E. R. Jones, Settling and Transport of Spherical Particles in Power-Law Fluids at Finite Reynolds Number J. Non-Newtonian Fluid Mech., vol. 54, pp. 465-488, 1994.
45. P. J. Roache, Verification and Validation in Computational Science and Engineering, Hermosa, Albuquerque, NM, 1998.