Exact asymptotic solutions for unsteady free convection on a vertical plate with arbitrary surface temperature or heat-flux variations and Prandtl number are presented. Analytical solutions in closed forms are given for stepwise and linear variations in both surface temperature and heat flux and arbitrary Prandtl number. Also described are phase relations of thermal responses when the prescribed thermal conditions at the plate become periodic.
Asymptotic Solutions for Unsteady Laminar Free Convection on a Vertical Plate
E. R. Menold,
E. R. Menold
Engineering Division, Case Institute of Technology, Cleveland, Ohio
Department of Mechanical Engineering, University of Notre Dame, Notre Dame, Ind.
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Menold, E. R., and Yang, K. (March 1, 1962). "Asymptotic Solutions for Unsteady Laminar Free Convection on a Vertical Plate." ASME. J. Appl. Mech. March 1962; 29(1): 124–126. https://doi.org/10.1115/1.3636443
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