On the Magnetohydrodynamic (MHD) Peristaltic Flow of a Hyperbolic Tangent Fluid in a Tapered Asymmetric Channel

Abstract

We have considered the peristaltic mechanism of incompressible viscous hyperbolic tangent fluid with the impact of uniform magnetic field. The tapered asymmetric channel is assumed to be designed due to a peristaltic wave train on the non uniform walls taking different amplitudes and phase. This model anticipates the shear thinning phenomenon very precisely and are being used frequently in laboratory experiments and industries. Here we consider the Reynolds number to be small enough and wavelength for simplification of two dimensional equations of a hyperbolic tangent fluid. The non-linear governing equations for the tangent hyperbolic fluid are solved by utilising Regular perturbation methodology. The exact solutions for the pressure gradient and pressure rise are determined analytically. Its behaviour is discussed computationally with reference to different physical parameters.