Abstract
A regular perturbation analysis is presented for the radiative effects on the following laminar natural convection flows with temperature dependent viscosity: a freely-rising plane plume, the flow above a horizontal line source on an adiabatic surface (a plane wall plume) and the flow adjacent to a vertical uniform flux surface. While these flows have well-known power-law similarity solutions when the fluid viscosity is taken to be constant, they are non-similar when the viscosity is considered to be a function of the temperature. A single similar flow, that adjacent to a vertical isothermal surface is also analyzed for comparison in order to estimate the accuracy. Numerical results with various parameters are tabulated.
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