Peristaltically induced transport of a MHD biviscosity fluid in a non-uniform tube

We have analyzed an incompressible flow of electrically conducting biviscosity fluid through an axisymmetric non-uniform tube with a sinusoidal wave under the considerations of long wavelength and low Reynolds number. In our analysis we are taking into account the induced magnetic field. The analytic solution has been obtained from which the axial velocity, the axial induced magnetic field and the axial pressure gradient have been derived. The results for the pressure rise Delta P-lambda(t), frictional force per wavelength F-lambda(t) and the axial induced magnetic field h(z) have been computed numerically and the results were studied for various values of the physical parameters of interest, such as the magnetic Prandtl number p(m), the magnetic field parameter M, the Reynolds number Re, the upper limit apparent viscosity coefficient beta, and the time averaged mean flow rate theta. (c) 2007 Elsevier B.V. All rights reserved.