Regular perturbation technique is applied to analyze the fluid flow and heat transfer in a pipe containing third-grade fluid with\ntemperature-dependent viscosities and heat generation under slip and no slip conditions. The obtained approximate solutions were\nused to investigate the effects of slip on the heat transfer characteristics of the laminar flow in a pipe under Reynolds�s and Vogel�s\ntemperature-dependent viscosities. Also, the effects of parameters such as variable viscosity, non-Newtonian parameter, viscous\ndissipation, and pressure gradient at various values were established.The results of this work were compared with the numerical\nresults found in literature and good agreements were established.The results can be used to advance the analysis and study of the\nbehavior of third-grade fluid flow and steady state heat transfer processes such as those found in coal slurries, polymer solutions,\ntextiles, ceramics, catalytic reactors, and oil recovery applications.
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