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In this paper the free convection flow of power law fluid in cylindrical channel with heat sources is investigated. The heat sources are in the fluid as well as inside the channel wall and are assumed constant and uniform distributed. The problem is solved by finite difference method. An asymptotic solution is given. The results with heat sources and without ones are compared.

A numerical solution has been presented for free convection flow of power law fluid in a vertical cylinder of finite height. The average velocity along the channel and the heat transfer have been calculated. Graphs of velocities and temperature are shown. The results show good agreement with analytic one in the asymptotic case.