Effects of rotation and initial stress on peristaltic transport of fourth grade fluid with heat transfer and induced magnetic field

• Effect of rotation, magnetic field, heat transfer and initial stress on the peristaltic flow of an incompressible fourth grade fluid.
• Assumptions of long wavelength and low Reynolds number are used in deriving solution for the flow.
• Closed form expressions for the stream function, pressure gradient, temperature, magnetic force function, induced magnetic field and current density.

This paper investigates the effect of rotation and initial stress on the peristaltic flow of an incompressible fourth grade fluid in asymmetric channel with magnetic field and heat transfer. Constitutive equations obeying the fourth grade fluid model are employed. Assumptions of long wavelength and low Reynolds number are used in deriving solution for the flow. Closed form expressions for the stream function, pressure gradient, temperature, magnetic force function, induced magnetic field and current density are developed. Pressure rise per wavelength and frictional forces on the channel walls have been computed numerically. Effects of rotation, initial stress and inclination of magnetic field on the axial velocity and pressure gradient are discussed in detail and shown graphically. Several limiting results can be obtained as the special cases of the problem under consideration. Numerical illustrations that show the physical effects and the pertinent features are investigated at the end of the paper.