Abstract
Closed solutions are given in this paper for the velocity and temperature distributions in the fluid in free convection above a line source of heat embedded in an infinite horizontal plane for Prandtl numbers 2/3 and 7/3. Variations of the kinematic viscosity and of the thermal diffusivity with temperature, as well as the heat generated by viscous dissipation, are neglected. For heat transfer in air under normal conditions the Prandtl number is 0.73, so that the solution for Prandtl number 2/3 may be considered to furnish a fair approximation. Since the Prandtl number for diffusion of water vapor into air is approximately 0.6, the same solution can also be applied to the case of laminar evaporation from a line source of water into air.
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