Korean Journal of Chemical Engineering, Vol.31, No.11, 1954-1963, November, 2014
Low Reynolds number flow of power-law fluids over two square cylinders in tandem
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The governing partial differential equations have been solved numerically for the 2-D and steady powerlaw fluid flow over two square cylinders in tandem arrangement. Extensive numerical results spanning wide ranges of the governing parameters as Reynolds number (0.1≤Re≤40), power-law index (0.2≤n≤1) and inter-cylinder spacing (2≤L/d≤6) are presented herein; limited results for L/d=24 are also obtained to approach the single cylinder behavior. The detailed flow visualization is done by means of the streamline and vorticity contours in the vicinity of two cylinders. The global characteristics are analyzed in terms of the surface pressure distribution and pressure drag coefficient. The drag coefficient shows the classical inverse dependence on the Reynolds number irrespective of the value of the powerlaw index; the drag on the upstream cylinder is always greater than that for the downstream cylinder.
Keywords:Tandem Square Cylinders;Power-law Fluids;Reynolds Number;Drag Coefficient;Recirculation Length
- Bird RB, Armstrong RC, Hassager O, Dynamics of polymeric liquids, Vol. 1: Fluid Dynamics, 2nd Ed., Wiley, New York (1987)
- Chhabra RP, Bubbles, drops and particles in non-newtonian fluids, 2nd Ed., CRC Press, Boca Raton, FL (2006)
- Chhabra RP, Richardson JF, Non-newtonian flow and applied rheology, 2nd Ed., Butterworth-Heinemann, Oxford (2008)
- Chhabra RP, Advances in Heat Transfer, 43, 289 (2011)
- Kabir MA, Khan MMK, Rasul MG, Chem. Eng. Commun., 199(6), 689 (2012)
- Hesselgreaves JE, Compact heat exchangers, Pergamon Press, Oxford (2001)
- Kakac S, Liu H, Heat exchangers: Selection, rating and thermal design, 2nd Ed., CRC Press, Boca Raton, FL (2002)
- Zdravkovich MM, Flow around circular cylinders, Vol. 1: Fundamentals, Oxford University Press, New York (1997)
- Zdravkovich MM, Flow around circular cylinders, Vol 2: Applications, Oxford University Press, New York (2003)
- Juncu G, Int. J. Heat Mass Transf., 50(19-20), 3788 (2007)
- Patil RC, Bharti RP, Chhabra RP, Ind. Eng. Chem. Res., 47(5), 1660 (2008)
- Dhiman AK, Chhabra RP, Eswaran V, Chem. Eng. Res. Des., 84(A4), 300 (2006)
- Dhiman AK, Chhabra RP, Eswaran V, J. Non-Newton. Fluid Mech., 148(1-3), 141 (2008)
- Dhiman AK, Int. J. Therm. Sci., 48, 1552 (2009)
- Bouaziz M, Kessentini S, Turki S, Int. J. Heat Mass Transf., 53(23-24), 5420 (2010)
- Sahu AK, Chhabra RP, Eswaran V, J. Non-Newton. Fluid Mech., 160(2-3), 157 (2009)
- Sahu AK, Chhabra RP, Eswaran V, J. Non-Newton. Fluid Mech., 165(13-14), 752 (2010)
- Rao PK, Sahu AK, Chhabra RP, Int. J. Heat Mass Transf., 54(1-3), 390 (2011)
- Patnana VK, Bharti RP, Chhabra RP, Chem. Eng. Sci., 64(12), 2978 (2009)
- Patnana VK, Bharti RP, Chhabra RP, Int. J. Heat Mass Transf., 53(19-20), 4152 (2010)
- Dhiman A, Shyam R, ISRN Mech. Eng., 2011, 1 (2011)
- Rao MK, Sahu AK, Chhabra RP, Polym. Eng. Sci., 51(10), 2044 (2011)
- Bijjam S, Dhiman AK, Chem. Eng. Commun., 199(6), 767 (2012)
- Rao PK, Sahu AK, Chhabra RP, Ind. Eng. Chem. Res., 49(14), 6649 (2010)
- Prhashanna A, Sahu AK, Chhabra RP, Int. J. Therm. Sci., 50, 2027 (2011)
- Chandra A, Chhabra RP, Int. J. Heat Mass Transf., 54(13-14), 2734 (2011)
- Chaitanya NSK, Dhiman AK, Int. J. Heat Mass Transf., 55(21-22), 5941 (2012)
- Nejat A, Abdollahi V, Vahidkhah K, J. Non-Newton. Fluid Mech., 166(12-13), 689 (2011)
- Nejat A, Mirzakhalili E, Aliakbari A, Niasar MSF, Vahidkhah K, J. Non-Newton. Fluid Mech., 171, 67 (2012)
- Dhiman AK, Kumar S, Korean J. Chem. Eng., 30(1), 33 (2013)
- Sakamoto H, Haniu H, J. Wind Eng. Ind. Aerod., 31, 41 (1988)
- Suzuki H, Inoue Y, Nishimura T, Fukutani K, Suzuki K, Int. J. Heat Fluid Flow, 14, 2 (1993)
- Luo SC, Li LL, Shah DA, J. Wind Eng. Ind. Aerod., 79, 79 (1999)
- Liu CH, Chen JM, J. Wind Eng. Ind. Aerod., 90, 1019 (2002)
- Valencia A, Heat Mass Transfer, 33, 465 (1998)
- Lankadasu A, Vengadesan S, Int. J. Numer. Methods Fluids, 57, 1005 (2008)
- Rosales JL, Ortega A, Humphrey JAC, Int. J. Heat Mass Transf., 44(3), 587 (2001)
- Sohankar A, Etminan A, Int. J. Numer. Methods Fluids, 60, 733 (2009)
- Chatterjee D, Biswas G, Numer. Heat Transfer A, 59, 437 (2011)
- Shyam R, Chhabra RP, Int. J. Heat Mass Transfer, 57, 742 (2012)
- Ehsan I, Mohammad S, Reza NM, Ali J, Tashnizi ES, J. Fluids Engineering (ASME), 135, 061101-1 (2013)
- Nikfarjam F, Sohankar A, Acta Mech., 224, 1115 (2013)
- Kabir MA, Khan MMK, Bhuiyan MA, KSME International J., 17, 879 (2003)
- Ghia U, Ghia KN, Shin CT, J. Comput. Phys., 48, 387 (1982)
- Bell BC, Surana KS, Int. J. Numer. Methods Fluids, 18, 127 (1994)
- Neofytou P, Adv. Eng. Soft., 36, 664 (2005)
- Tatsuno M, Fluid Dyn. Res., 5, 49 (1989)