MHD peristaltic flow of a hyperbolic tangent fluid in a non-uniform channel with heat and mass transfer

Abstract

The influence of elastic wall properties on the peristaltic transport of a conducting hyperbolic tangent fluid in a non-uniform channel is investigated with heat and mass transfer. The flow is examined in a fixed frame of reference under the assumptions of long wavelength and low Reynolds number. The velocity slip, temperature and concentration jump boundary conditions are considered at the walls. The perturbation method of solution for stream function, velocity, temperature, concentration and the coefficient of heat transfer are obtained in terms of small Weissenberg number. The influence of several pertinent parameters on the flow are discussed by plotting graphs. The trapping phenomenon is also analysed. It is noticed that the size of the trapping bolus increases with increasing the power law index of hyperbolic tangent fluid.