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Received December 16, 2009
Accepted February 21, 2010
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A numerical study on unsteady natural convection of air with variable viscosity over an isothermal vertical cylinder
1Department of Mathematics and Humanities, National Institute of Technology, Warangal, India 2Department of Mechanical Engineering, College of Advanced Technology, Kyung Hee University, Korea 3Industrial Liaison Research Institute, Kyung Hee University, Korea
cnkim@khu.ac.kr
Korean Journal of Chemical Engineering, March 2010, 27(3), 759-765(7), 10.1007/s11814-010-0211-x
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Abstract
The present study deals with the boundary layer flow and heat transfer of unsteady laminar free convection flow past a semi-infinite isothermal vertical cylinder immersed in air. The fluid viscosity is assumed to vary with the temperature. An implicit finite-difference method has been employed to solve the governing non-dimensional boundary layer equations. A parametric study is performed to illustrate the influence of variable viscosity on the velocity and temperature profiles. The numerical results reveal that the viscosity has significant influences on the transient velocity and temperature profiles, average skin-friction coefficient and the average heat transfer rate. The results indicate that as the viscosity parameter increases, the temperature and the skin-friction coefficient increase, while the velocity near the wall and the Nusselt number decrease.
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Minkowycz WJ, Sparrow EM, J. Heat Trans., 96, 178 (1974)
Fujii T, Uehera H, Int. J Heat Mass Trans., 13, 607 (1970)
Lee HR, Chen TS, Armaly BF, J. Heat Trans., 110, 103 (1988)
Dring RP, Gebhart B, J. Heat Trans., 88, 246 (1966)
Velusamy K, Garg VK, Int. J. Heat Mass Trans., 35, 1293 (1992)
Rani HP, Heat and Mass Trans., 40, 67 (2003)
Schlichting H, Boundary layer theory, McGraw-Hill, New York (1979)
Kakac S, Shah RK, Aung W, Handbook of single-phase convective heat transfer, John Wiley & Sons, New York (1987)
Cengel Y, Fluid Mechanics fundamentals & applications, McGraw-Hill, New York (2006)
Molla MM, Hossain MA, Gorla RSR, Heat Mass Trans., 41, 594 (2005)
Kafoussius NG, Rees DAS, Acta Mechanica., 127, 39 (1998)
Gray J, Kassory DR, Tadjeran H, J. Fluid Mech., 117, 233 (1982)
Pop I, Gorla RSR, Rashidi M, Int. J. Eng. Sci., 30, 1 (1992)
Kafoussias NG, Williams EW, Int. J. Eng. Sci., 33, 1369 (1995)
Elbashbeshy EMA, Bazid MAA, J. Phys. D: Applied Physics, 33, 2716 (2000)
Abo-Eldahab EM, Gendy EI, Phys. Scripta, 62, 321 (2000)
Hossain MA, Munir MS, Pop I, Int. J. Thermal Sci., 40, 366 (2001)
Touloukian YS, Saxena SC, Hestermans P, Thermophysical properties of matter, Viscosity, The TPRC Data Series, Plenum, New York (1975)
Carnahan B, Luther HA, Wilkes JO, Applied numerical methods, John Wiley & Sons, New York (1969)
Ganesan P, Rani HP, Heat Mass Trans., 33, 449 (1998)
Incropera FP, Dewitt DP, Fundamentals of heat and mass transfer, John Wiley & Sons, New York (2007)
