Abstract: Peristaltic transport of a Newtonian fluid, with heat transfer, in a vertical porous axisymmetric tube under long-wavelength approximation is considered. Closed-form solution is obtained as an asymptotic expansion in terms of porosity and free convection parameters. Expressions, for velocity, temperature, coefficient of heat transfer and pressure–flow relationship at the boundary wall of the tube, are derived. It is observed that pressure drop increases as amplitude ratio increases. Further, it has been observed that for some specific values of different parameters under consideration, the mean flux significantly increases by about 8–10% as Grashof number increases from 1 to 2. This relates to optimization of heat transfer in certain processes.