In this paper, a study and an analysis of a heat and mass transfer during peristaltic flow for a pseudoplastic fluid in asymmetric tapered channel, and a variable viscosity dependent of a fluid temperature with exist of slip conditions through porous medium and the influence of this conditions on the velocity and pressure, where the wavelength of the peristaltic flow is a long and the Reynold number is very small. The solution of equations for the momentum and energy have been on the basis of a perturbation technique for a found the stream function, velocity, pressure gradient and temperature and also have been discussed the trapping phenomenon by the graphs.