Magnetohydrodynamic effects on peristaltic flow of hyperbolic tangent nanofluid with slip conditions and Joule heating in an inclined channel

In this present analysis, three dimensional peristaltic flow of hyperbolic tangent fluid in a non-uniform channel has been investigated. We have considered that the pressure is uniform over the whole cross section and the interial effects have been neglected. For this purpose we consider laminar flow under the assumptions of long wavelength ( λ → ∞ ) and creeping flow ( Re → 0 ) approximations. The attained highly nonlinear equations are solved with the help of Homotopy perturbation method. The influence of various physical parameters of interest is demonstrated graphically for wall tension, mass characterization, damping nature of the wall, wall rigidity, wall elastance, aspect ratio and the Weissenberg number. In this present investigation we found that the magnitude of the velocity is maximum in the center of the channel whereas it is minimum near the walls. Stream lines are also drawn to discuss the trapping mechanism for all the physical parameters. Comparison has also been presented between Newtonian and non-Newtonian fluid.

Three dimensional peristaltic flow of hyperbolic tangent fluid in non-uniform channel having flexible walls

Mixed convection peristaltic flow of Eyring-Powell nanofluid in a curved channel with compliant walls

The current work intends to investigate the magneto-hydrodynamic peristaltic flow of a non-Newtonian fluid through a tapered asymmetric channel. The transport of fluid with variable transport properties (viscosity and thermal conductivity) takes place through a porous medium. The problem is formulated under the basic assumptions of long wavelength and low Reynolds number. The perturbation technique has been implemented to yield the solution for momentum and energy equations. The pumping characteristics such as pressure rise and frictional force have been evaluated by Weddles rule using MATLAB software. The solutions which are graphed indicate that the variable viscosity plays a major role in regulating the fluid velocity in the central part of the channel. Also, as the channel becomes more divergent, the size of the bolus trapped in the peristaltic motion is found to increase.

Influence of transport properties on the peristaltic MHD Jeffrey fluid flow through a porous asymmetric tapered channel

The current work examines the peristaltic flow of Sutterby fluid in a planar symmetric channel. Electrically conducting fluid is considered via imposed magnetic field. An incompressible Sutterby fluid saturates the porous medium. Modified Darcy’s law has been employed for the porous medium effect. The channel walls are compliant. Convective conditions of heat and mass transfer are imposed. Viscous dissipation and Joule heating are retained. Problem for large wavelength are numerically solved. The graphs are obtained for the velocity, temperature, concentration and heat transfer rate. Velocity and concentration profiles are observed to have opposite behavior for increasing Darcy number. It is found that the effect of Hartman number on the velocity and temperature profiles is similar. Further heat transfer coefficient strengthened when heat transfer Biot number is increased.

Numerical simulation for peristaltic activity of Sutterby fluid with modified Darcy’s law

Peristaltic transport of an incompressible couple stress fluid in a two-dimensional uniform channel with wall effects and in the presence of magnetic field has been studied. Using long wavelength approximation with low Reynolds number and dynamic boundary conditions, analytical expressions have been derived for velocity and stream function and the effects of pertinent parameters on these flow variables have been studied. The numerical results show that the time average velocity decreases with viscous damping force. Further, it has been observed that trapping occurs and the size of the trapped bolus decreases with Hartman number.

Effect of magnetic field on the peristaltic transport of couple stress fluid in a channel with wall properties

This article addresses the effects of homogeneous and heterogeneous chemical reactions on the peristaltic pumping of an incompressible viscous fluid through a porous medium with wall properties. The mean effective coefficient of dispersion has been calculated through long wavelength hypothesis and conditions of Taylor’s limit. The effects of various penetrating parameters on mean effective dispersion coefficient are observed graphically.

Peristaltic pumping of an incompressible viscous fluid in a porous medium with wall effects and chemical reactions

The credibility of a computational analytical solution of time dependent mean velocity for magneto hydrodynamic (MHD) peristaltic flow of an electrically conducting couple stress fluid in an uniform elastic porous channel is analyzed and assessed. The effect of slip condition has been studied. Mathematical model is formulated assuming small Reynolds number and long wavelength approximations. Various aspects such as Magnetic parameter, Darcy number, slip parameter and couple stress parameter are discussed through graphs under the existence and non existence of both stiffness and viscous damping force. It is noticed that the time dependent mean velocity increases with increase in the Magnetic parameter in presence of elastic parameters and flow reversal occurs at the center line of the channel.

Unsteady MHD peristaltic flow of a couple stress fluid through porous medium with wall and slip effects

Arterial stenosis is a common cardiovascular disease that restricts blood flow. A stenotic blood vessel creates tangent stress pressure, which lessens the arterial side and causes an aneurysm. The primary purpose of this study is to investigate blood flowing via an inclination pipe with stricture and expansion after stricture (widening) underneath the influence of a constant incompressible Casson liquid flowing with the magnetism field. The relations for surface shearing stress, pressure drop, flow resistance, and velocity are calculated analytically by applying a mild stenosis approximation. The effect of different physical characteristics on liquid impedance to flowing, velocity, and surface shearing stress are studied. With a non-Newtonian aspect of the Casson liquid, the surface shearing stress declines, and an impedance upturn. Side resistivity and shear-stress increase with the elevations of stricture, whilst together decreasing with a dilatation height.

A mathematical model of blood flow in a stenosed artery with post-stenotic dilatation and a forced field

Abstract An attempt has been made to examine the effects of magnetohydrodynamic couple stress fluid in peristaltic flow with porous medium under the impact of slip, heat transfer and wall properties. The expressions are obtained for temperature, coefficient of heat transfer and velocity. Influences of different parameters, the Hartmann number, Brinkman number and adaptability parameters on the temperature and warmth trade coefficient are discussed through outlines.

/pdf/transport-of-mhd-couple-stress-fluid-through-peristalsis-in-1kz6sz1pez.pdf

G. C. Sankad

Papers

Effect of magnetic field on the peristaltic transport of couple stress fluid in a channel with wall properties

Peristaltic pumping of an incompressible viscous fluid in a porous medium with wall effects and chemical reactions

Unsteady MHD peristaltic flow of a couple stress fluid through porous medium with wall and slip effects

A mathematical model of blood flow in a stenosed artery with post-stenotic dilatation and a forced field

Transport of MHD Couple Stress Fluid Through Peristalsis in a Porous Medium Under the Influence of Heat Transfer and Slip Effects