Peristaltic impulsion of MHD biviscosity fluid in a lopsided channel: Closed-form solution

In this article, we investigated the MHD peristaltic flow of a biviscosity fluid in an asymmetric channel. The momentum governing coupled equations are constructed under long wavelength and low-Reynolds-number approximation. An exact solution is found for the Navier-Stokes equations obtaining stream function and pressure gradient in a closed form. The flow behavior is analyzed through the effects of the governing parameters, such as the upper limit apparent viscosity coefficient , the Hartmann number M and amplitudes , a, b and d on pressure rise, velocity, pressure gradient and subsequently on streamlines.