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Received March 23, 2007
Accepted August 2, 2007
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Transient free convection flow over an isothemal vertical cylinder with temperature dependent viscosity
Department of Mechanical Engineering, College of Advanced Technology (Industrial Liaison Research Institute), Kyung Hee University, Gyeonggi-do 446-701, Korea
cnkim@khu.ac.kr
Korean Journal of Chemical Engineering, January 2008, 25(1), 34-40(7), 10.1007/s11814-008-0006-5
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Abstract
A numerical analysis is performed to study the influence of temperature-dependent viscosity and Prandtl number on unsteady laminar free convection flow over a vertical cylinder. The governing boundary layer equations are converted into a non-dimensional form and a Crank-Nicolson type of implicit finite-difference method is used to solve the governing non-linear set of equations. Numerical results are obtained and presented for different viscosityvariation parameters and Prandtl numbers. Transient effects of velocity and temperature are analyzed. The heat transfer characteristics against the viscosity-variation parameter are analyzed with the help of average skin-friction and Nusselt number and are shown graphically.
References
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Fujii T, Uehera H, Int. J. Heat Mass Transf., 13, 607 (1970)
Lee HR, Chen TS, Armaly BF, J. Heat Transf., 110, 103 (1988)
Dring RP, Gebhart B, Tran. ASME J. Heat Tran., 88, 246 (1966)
Velusamy K, Garg VK, Int. J. Heat Mass Transf., 35, 1293 (1992)
Rani HP, Heat Mass Transf., 40, 67 (2003)
Schlichting H, Boundary layer theory, McGraw-Hill, New York (1979)
Gray J, Kassory DR, Tadjeran H, J. Fluid Mech., 117, 233 (1982)
Kafoussius NG, Rees DAS, Acta Mechanica, 127, 39 (1998)
Hossain MA, Munir MS, Pop I, Int. J. Therm. Sci., 40, 366 (2001)
Ling JX, Dybbs A, J. Heat Transf., 114, 1063 (1992)
Molla MM, Hossain MA, Gorla RSR, Heat Mass Transf., 41, 594 (2005)
Carnahan B, Luther HA, Wilkes JO, Applied numerical methods, John Wiley & Sons, New York (1969)
Ganesan P, Rani HP, Heat Mass Transf., 33, 449 (1998)
Ekambavanan K, Ganesan P, Heat Mass Transf., 30, 63 (1994)
