The present study investigates the effects of inclined magnetic field, heat source/sink, and concentration on the peristaltic flow of blood in an inclined asymmetric channel with variable viscosity. Mathematical analysis has been carried out in the presence of aligned magnetic field. The flow is examined in a wavy frame of references moving with the velocity of the wave. The physical problem is the first model, and then, the analytic solution is carried out under long–wavelength and low-Reynolds number approximation. The expressions for velocity, temperature, concentration, pressure gradient, tangential stress and heat transfer coefficient are obtained. The results for the pressure rise and frictional force have also been computed numerically. Numerical results are graphically discussed for various values of physical parameters of interest.