Influence of Inclined Magnetic Field on Peristaltic Transport of Walters, B Fluid in an Inclined Asymmetric Channel with Porous Medium

This paper investigates the peristaltic motion of magneto hydrodynamic(MHD) non-Newtonian fluid in an inclined asymmetric channel with porous medium. Constitutive equations obeying the walter,s B fluid model are employed. Mathematical modeling is developed in the presence of a constant inclined magnetic field making an angle with the vertical axis. Assumptions of  long wave length approximation and low  Reynolds number  are used in flow analysis.  Closed form expressions for the stream  function and mechanical  efficient are developed. Pressure rise per wave length and frictional force on the channel walls  have been computed numerically. Effect of Hartman number, Froud number, Reynold number, permeability parameter , viscoelastic parameter and  inclination of magnetic field on the axial velocity. Pumping and trapping are discussed in detail and shown graphically. Keywords: Peristaltic Transport, Walter,s B, Inclined Magnetic Field, Porous Medium, Inclined a symmetric channel, pimping ,trapping

Effect of heat transfer on the peristaltic transport of MHD with couple-stress fluid through a porous medium with slip effect

This  paper concern with the Peristaltic transport of MHD Newtonian fluid in  asymmetric two dimensional channel with couple –stress through  a porous  medium under  the influence of heat  transfer analysis. For the formulation of the problem long wave length and low Reynold number  assumption is taken into account.  An  exact solution is presented for velocity field and the temperature field through solving a    non-homogenies partial differential equation that described the flow field. Effects of different physical parameters, reflecting couple-stress parameter, permeability parameter, slip parameter, Hartman  number, constant heat radiation factor and Grashof number, as well as amplitude ration on pumping characteristics and frictional force, stream lines pattern and trapping of peristaltic flow pattern studied with particular emphasis. This study are discussed through graphs. Keywords:  Peristaltic Transport, Couple-Stress,  Magnetic Field, Newtonian Fluid, Porous Medium, Reynolds Number, Heat transfer

A Numerical Study of Peristaltic Flow Generalized Maxwell Viscoelastic Fluids Through a Porous medium in an Inclined Channel

In this paper presents a study on Peristaltic of generalized Maxwell fluid fluids  through a porous medium  in an inclined channel with slip effect. The governing equation are simplified by assuming long wavelength  and low Reynolds number approximations. The numerical and approximate analytical solutions of the problem are obtained by a semi-numerical technique, namely the homotopy  perturbation method. The influence of the dominating physical parameters such as fractional Maxwell parameter, relaxation time, amplitude ratio, permeability parameter , Froude number, Reynolds number and inclination of channel on the flow characteristics are depicted graphically. Keywords : Peristaltic Transport, fractional generalized Maxwell, Slip effect, Porous Medium, Inclined a      symmetric channel, pimping ,trapping