Issue
Korean Journal of Chemical Engineering,
Vol.25, No.1, 34-40, 2008
Transient free convection flow over an isothemal vertical cylinder with temperature dependent viscosity
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]
  1. Sparrow EM, Gregg JL, Trans. ASME, 78, 1823, 1956
  2. Minkowycz WJ, Sparrow EM, J. Heat Transf., 96, 178, 1974
  3. Fujii T, Uehera H, Int. J. Heat Mass Transf., 13, 607, 1970
  4. Lee HR, Chen TS, Armaly BF, J. Heat Transf., 110, 103, 1988
  5. Dring RP, Gebhart B, Tran. ASME J. Heat Tran., 88, 246, 1966
  6. Velusamy K, Garg VK, Int. J. Heat Mass Transf., 35, 1293, 1992
  7. Rani HP, Heat Mass Transf., 40, 67, 2003
  8. Schlichting H, Boundary layer theory, McGraw-Hill, New York, 1979
  9. Gray J, Kassory DR, Tadjeran H, J. Fluid Mech., 117, 233, 1982
  10. Kafoussius NG, Rees DAS, Acta Mechanica, 127, 39, 1998
  11. Hossain MA, Munir MS, Pop I, Int. J. Therm. Sci., 40, 366, 2001
  12. Ling JX, Dybbs A, J. Heat Transf., 114, 1063, 1992
  13. Molla MM, Hossain MA, Gorla RSR, Heat Mass Transf., 41, 594, 2005
  14. Carnahan B, Luther HA, Wilkes JO, Applied numerical methods, John Wiley & Sons, New York, 1969
  15. Ganesan P, Rani HP, Heat Mass Transf., 33, 449, 1998
  16. Ekambavanan K, Ganesan P, Heat Mass Transf., 30, 63, 1994