Optimal homotopy asymptotic method (OHAM) is employed to investigate
steady-state heat conduction with temperature dependent thermal conductivity and
uniform heat generation in a hollow cylinder. Analytical models are developed for
dimensionless temperature distribution and heat transfer for two cases using mixed
boundary conditions (Dirichlet, Neumann, and Robin). The inner cylinder is assumed
to be insulated in both cases. In the first case, the outer cylinder is assumed to be
isothermal whereas in the second case, the outer cylinder is convectively cooled by a
fluid of temperature T2 through a uniform heat transfer coefficient h. The effects of
Biot number, dimensionless heat generation, and thermal conductivity parameters on
the temperature distribution and heat transfer are determined analytically and validated
numerically using MAPLE 14. In both cases, the results obtained by OHAM are found
to be in good agreement with the numerical results. It is found that as the Biot number
increases, the results approach that of the isothermal case