화학공학소재연구정보센터
홈 로그인 로그아웃 연락처 사이트맵
Korean Journal of Chemical Engineering, Vol.31, No.5, 754-771, May, 2014
DOI10.1007/s11814-013-0254-x  Export Citation
Power-law shear-thinning flow around a heated square bluff body under aiding buoyancy at low Reynolds numbers
Neha Sharma, Amit Dhiman†, and Surendra Kumar
  • Department of Chemical Engineering, Indian Institute of Technology Roorkee, Roorkee 247 667, India
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Power-law shear-thinning fluid flow over a heated square bluff body is numerically investigated under aiding buoyancy mixed convection at low Reynolds numbers. Semi-explicit finite volume code is developed to solve the governing equations along with the appropriate boundary conditions. Both aiding buoyancy and shear-thinning natures are found to augment the heat transfer rate from the surface of the long square bar. In aiding buoyancy, the total drag coefficient is found to be more for the square cylinder than that of the circular cylinder, whereas the average cylinder Nusselt number for the square cylinder is found to be lower than the circular one on equal side/diameter basis. Maximum augmentation in heat transfer is found to be approximately 20% with respect to forced convection. Finally, a heat transfer correlation is established by using the Colburn heat transfer factor.
Keywords:Square Bluff Body;Non-Newtonian Fluids;Aiding Buoyancy;Drag Coefficients;Nusselt Number;Streamlines;Isotherms and Heat Transfer Enhancement
  1. Chhabra RP, Hydrodynamics of non-spherical particles in non-Newtonian fluids, In: Cheremisinoff NP, Cheremisinoff PN (Eds.), Handbook of Applied Polymer Processing Technology, Marcel Dekker, NY, USA (Chapter 1) (1996)
  2. Chhabra RP, Heat and mass transfer in rheologically complex systems, In: Siginer D, De Kee D, Chhabra RP (Eds.), Advances in the Rheology and Flow of Non-Newtonian Fluids, Amsterdam (Chapter 39) (1999)
  3. Gupta RK, Polymer and composites rheology, second Ed., Marcel Dekker, New York (2000)
  4. Chhabra RP, Bubbles, drops, and particles in non-newtonian fluids, second Ed., CRC Press, Boca Raton, FL (2006)
  5. Chhabra RP, Richardson JF, Non-newtonian flow and applied rheology, 2nd Ed., Butterworth-Heinemann, Oxford (2008)
  6. Sharma N, Dhiman AK, Kumar S, Int. J. Heat Mass Transf., 55(9-10), 2601 (2012)
  7. Sharma A, Eswaran V, Num. Heat Transfer. A, 45, 601 (2004)
  8. Sharma A, Eswaran V, Int. J. Heat Mass Transf., 48(25-26), 5310 (2005)
  9. Chatterjee D, Mondal B, Heat Transf. Eng., 33(12), 1063 (2012)
  10. Bhattacharyya S, Mahapatra S, Heat Mass Transfer., 41, 824 (2005)
  11. Dhiman AK, Chhabra RP, Eswaran V, Int. Comm. Heat Mass Transfer., 35, 47 (2008)
  12. Chatterjee D, Mondal B, Int. J. Heat Mass Transf., 54(25-26), 5262 (2011)
  13. Dhiman AK, Anjaiah N, Chhabra RP, Eswaran V, J. Fluids Eng., 129, 506 (2007)
  14. Bouaziz M, Kessentini S, Turki S, Int. J. Heat Mass Transf., 53(23-24), 5420 (2010)
  15. Paliwal B, Sharma A, Chhabra RP, Eswaran V, Chem. Eng. Sci., 58(23-24), 5315 (2003)
  16. Dhiman AK, Chhabra RP, Eswaran V, Chem. Eng. Res. Des., 84(A4), 300 (2006)
  17. Dhiman AK, Chhabra RP, Eswaran V, Num. Heat Transfer. A, 52, 185 (2007)
  18. Sahu AK, Chhabra RP, Eswaran V, J. Non-Newton. Fluid Mech., 160(2-3), 157 (2009)
  19. Sahu AK, Chhabra RP, Eswaran V, Num. Heat Transfer. A, 56, 109 (2009)
  20. Rao PK, Sahu AK, Chhabra RP, Int. J. Heat Mass Transf., 54(1-3), 390 (2011)
  21. Gupta AK, Sharma A, Chhabra RP, Eswaran V, Ind. Eng. Chem. Res., 42(22), 5674 (2003)
  22. Dhiman AK, Int. J. Therm. Sci., 48, 1552 (2009)
  23. Sahu AK, Chhabra RP, Eswaran V, Num. Heat Transfer. A, 58, 641 (2010)
  24. Sahu AK, Chhabra RP, Eswaran V, J. Non-Newton. Fluid Mech., 165(13-14), 752 (2010)
  25. Soares AA, Ferreira JM, Chhabra RP, Ind. Eng. Chem. Res., 44(15), 5815 (2005)
  26. Soares AA, Anacleto J, Caramelo L, Ferreira JM, Chhabra RP, Ind. Eng. Chem. Res., 48(17), 8219 (2009)
  27. Bharti RP, Chhabra RP, Eswaran V, Int. J. Heat Mass Transf., 50(5-6), 977 (2007)
  28. Patnana VK, Bharti RP, Chhabra RP, Chem. Eng. Sci., 64(12), 2978 (2009)
  29. Patnana VK, Bharti RP, Chhabra RP, Int. J. Heat Mass Transf., 53(19-20), 4152 (2010)
  30. Srinivas AR, Bharti RP, Chhabra RP, Ind. Eng. Chem. Res., 48(21), 9735 (2009)
  31. Bharti RP, Chhabra RP, Eswaran V, Chem. Eng. Sci., 62(17), 4729 (2007)
  32. Bharti RP, Chhabra RP, Ind. Eng. Chem. Res., 46(11), 3820 (2007)
  33. Rao MK, Sahu AK, Chhabra RP, Polym. Eng. Sci., 51(10), 2044 (2011)
  34. Bijjam S, Dhiman AK, Chem. Eng. Commun., 199(6), 767 (2012)
  35. Igarashi T, Int. J. Heat Mass Transfer., 30, 893 (1987)
  36. Ahmed GR, Yovanovich MM, Trans. ASME J. Heat Transfer., 119, 70 (1997)
  37. Saha AK, Muralidhar K, Biswas G, Exp. Fluids, 29, 553 (2000)
  38. Singh SK, Panigrahi PK, Murlidhar K, Exp. Fluids, 43, 101 (2007)
  39. Sabiri NE, Chhabra RP, Comiti J, Montillet A, Exp. Therm. Fluid Sci., 39, 167 (2012)
  40. Davis RW, Moore EF, Purtell LP, Phys. Fluids, 27, 46 (1984)
  41. Suzuki K, Suzuki H, Unsteady heat transfer in a channel obstructed by an immersed body, Annu. Rev. Heat Transfer, C. L. Tien (Ed.), Begell House, New York, 5, 177 (1994)
  42. Coelho PM, Pinho FT, J. Non-Newton. Fluid Mech., 110(2-3), 143 (2003)
  43. Coelho PM, Pinho FT, J. Non-Newton. Fluid Mech., 110(2-3), 177 (2003)
  44. Coelho PM, Pinho FT, J. Non-Newton. Fluid Mech., 121(1), 55 (2004)
  45. Dhiman AK, Flow over and heat transfer to power-law fluids across a square cylinder in steady regime: A numerical study, Ph.D. Thesis, Indian Institute of Technology Kanpur, India (2006)
  46. Thompson JF, Warsi ZUA, Mastin CW, Numerical grid generation: Foundations and applications, Elsevier Science, New York, 305 (1985)
  47. Sharma A, Eswaran V, A finite volume method, in Muralidhar K, Sundararajan T (Eds.), Computational Fluid Flow and Heat Transfer, Narosa Publishing House, New Delhi, 445 (2003)
  48. Rhie CM, Chow WL, AIAA J., 21, 1525 (1983)
  49. Dhiman AK, Sharma N, Kumar S, Brazilian J. Chem. Eng., 29, 253 (2012)
  50. Ghia U, Ghia KN, Shin CT, J. Comput. Phys., 48, 387 (1982)
  51. Dhiman A, Sharma N, Kumar S, Int. J. Sustainable Energy, http://dx.doi.org/10.1080/14786451.2013.764878 (2013)
  52. Gandikota G, Amiroudine S, Chatterjee D, Biswas G, Numer. Heat Transfer. Part A, 58, 385 (2010)
  53. Chatterjee D, Numer. Heat Transfer. Part A, 61, 800 (2012)
  54. Chatterjee D, Mondal B, Comput. Therm. Sci., 4, 23 (2012)
  55. Roache PJ, Verication and validation in computational science and engineering, Hermosa Publishers, Albuquerque, New Mexico (1998)