Magnetohydrodynamic Peristaltic Flow Research Articles

Magnetohydrodynamic Peristaltic Flow with Heat and Mass Transfer of Micropolar Biviscosity Fluid Through a Porous Medium Between Two Co-Axial Tubes

The problem of peristaltic transport of a micropolar non-Newtonian fluid has been investigated. The fluid flows through a porous media between co-axial tubes with heat and mass transfer under long-wavelength assumption. The inner tube is uniform, while the outer flexible tube has a sinusoidal wave traveling down its wall. A perturbation solution is obtained which satisfies the momentum, angular momentum, energy and concentration equations. Numerical results for the behaviors of the velocity, micro-rotation, temperature and concentration as well as the skin friction, Nusselt number and Sherwood number with other physical parameters are obtained. Several graphs for these results of physical interest are displayed and discussed in detail.

Soret and Dufour Effects on Peristaltic Transport of MHD Fluid with Variable Viscosity

This article looks at the Soret and Dufour effects on the magnetohydrodynamic (MHD) peristaltic flow of variable viscosity fluid in a symmetric channel. Analysis is presented in the presence of Ohmic heating. Results for the stream function, temperature and concentration are constructed. The variations of sundry parameters are analyzed.

Slip Effects on MHD Peristaltic Motion with Heat and Mass Transfer

This investigation looks at the magnetohydrodynamic peristaltic flow of a viscous fluid occupying a porous space. Channel walls are compliant and the velocity, temperature and concentration slip effects are taken into account. Heat and mass transfer effects are present. Long wavelength approach is utilized in the mathematical description of arising problem. Expressions for stream function, temperature, concentration field and heat transfer coefficient are prepared. The role of key parameters is carefully analyzed. The velocity, temperature and absolute concentration distributions are found to decrease upon increasing the strength of magnetic field. This study reduces to the investigation of Kothandapani and Srinivas (Appl Math Comput 213:197–208, 2009) by neglecting the slip effects.

Mixed Convective Magnetohydrodynamic Peristaltic Flow of a Jeffrey Nanofluid with Newtonian Heating

We present the mixed convective peristaltic motion of a magnetohydrodynamic (MHD) Jeffrey nanofluid in an asymmetric channel with Newtonian heating. In the peristaltic literature, Newtonian heating is used for the first time in the present article. The peristaltic flow of a nanofluid with Newtonian heating is not explored so far. So in the present problem, first we model the mixed convective peristaltic motion of a MHD Jeffrey nanofluid in an asymmetric channel with Newtonian heating. According to the realistic approch, the problem formulation is made under long wavelength and low Reynolds number approximation.We get the four coupled equations. Homotopy perturbation method (HPM) solutions are calculated for nanoparticle fraction and heat transfer phenomena, while exact solutions are evaluated for stream function and pressure gradient. The possessions of different parameters on the flow quantities of observation are analyzed graphically and physically. In the end, the streamlines are plotted and discussed.

Series Solutions of Magnetohydrodynamic Peristaltic Flow of a Jeffrey Fluid in Eccentric Cylinders

In this article, the mathematical modelling on magnetohydrodynamic peristaltic flow of Jeffrey fluid in the gap between two eccentric tubes has been discussed in the presence of applied magnetic fi eld. Geometrically, we considered two eccentric tubes in which the inner tube is rigid while the tube at the outer side has a sinusoidal wave pro pagating along the wall. The governing equations for Jeffrey fluid in a cylindrical coordinates for three dimensional flow are given. The approximations of low Reynolds number and long wavelength have been employed to reduce the highly nonlinear partial differential equations. The problem has been solved with the help of homotopy perturbation method alongwith eigen function expansion method. The graphs of pressure rise, pressure gradient and velocity (for two and three dimensional flow) have been drawn. The stre amlines have also been presented to discuss the trapping bolus discipline.

Magnetohydrodynamic Peristaltic Flow of a Pseudoplastic Fluid in a Curved Channel

A mathematical model is developed to examine the effects of an induced magnetic field on the peristaltic flow in a curved channel. The non-Newtonian pseudoplastic fluid model is used to depict the combined elastic and viscous properties. The analysis has been carried out in the wave frame of reference, long wavelength and low Reynolds scheme are implemented. A series solution is obtained through perturbation analysis. Results for stream function, pressure gradient, magnetic force function, induced magnetic field, and current density are constructed. The effects of significant parameters on the flow quantities are sketched and discussed.

Magnetohydrodynamic Nonlinear Peristaltic Flow in a Compliant Walls Channel With Heat and Mass Transfer

This paper discusses the effects of magnetic field and heat and mass transfer on the peristaltic flow of an incompressible fluid in a channel with compliant walls. Mathematical formulation for the fourth grade fluid is presented. Relations of stream function, temperature, concentration field, and heat transfer coefficient are derived. The variations of the interesting parameters entering into the problem are carefully analyzed.

SLIP EFFECTS ON PERISTALTIC TRANSPORT OF A MAXWELL FLUID WITH HEAT AND MASS TRANSFER

Analysis has been carried out to examine the heat and mass transfer effects on the magnetohydrodynamics (MHD) peristaltic flow in a channel with compliant walls. An incompressible Maxwell fluid occupies the porous space. Modified Darcy's law and slip conditions are used in the problem formulation. Solutions for small wave number are derived. The effects of emerging parameters in the obtained solutions are displayed and discussed.

Influence of wall properties on peristaltic transport of second grade fluid with heat and mass transfer

AbstractThis paper discusses the effects of heat and mass transfer on the magnetohydrodynamic (MHD) peristaltic flow of second grade fluid in a channel with flexible walls. Expressions of stream function, temperature, concentration field, and heat transfer coefficient have been computed. The effects of sundry parameters are sketched and examined. The known results of viscous fluid are obtained as the limiting cases of the present expressions. © 2011 Wiley Periodicals, Inc. Heat Trans Asian Res; Published online in Wiley Online Library (wileyonlinelibrary.com/journal/htj). DOI 10.1002/htj.20361

Wall properties and slip effects on the magnetohydrodynamic peristaltic motion of a viscous fluid with heat transfer and porous space

AbstractPeristaltic flows are important for understanding the transport of fluids, especially blood flow, in physiological systems and in biomedical instruments. Several studies have considered the peristaltic flows of Newtonian and non‐Newtonian fluids with one or more simplifying assumptions, and for peristaltic flows in biomechanics applications such as magnetohydrodynamic (MHD) pumps and blood flow. This paper presents a theoretical study of the effects of slip conditions and wall properties on the MHD peristaltic flow of a viscous fluid filling the porous space in a channel. The heat transfer analysis is also presented. The analytical solutions of the stream function, velocity and temperature distributions are constructed in closed form under long wavelength and low Reynolds number approximations. The effects of various influential key parameters and groups are reported and discussed. Copyright © 2010 Curtin University of Technology and John Wiley & Sons, Ltd.

Magnetohydrodynamic peristaltic flow of a hyperbolic tangent fluid in a vertical asymmetric channel with heat transfer

In the present paper we discuss the magnetohydrodynamic (MHD) peristaltic flow of a hyperbolic tangent fluid model in a vertical asymmetric channel under a zero Reynolds number and long wavelength approximation. Exact solution of the temperature equation in the absence of dissipation term has been computed and the analytical expression for stream function and axial pressure gradient are established. The flow is analyzed in a wave frame of reference moving with the velocity of wave. The expression for pressure rise has been computed numerically. The physical features of pertinent parameters are analyzed by plotting graphs and discussed in detail.

Slip Effects on the Magnetohydrodynamic Peristaltic Flow of a Maxwell Fluid

The influence of slip on the magnetohydrodynamic (MHD) peristaltic flow in a planar channel with compliant walls is examined. An incompressible Maxwell fluid saturates the porous medium. An established solution is valid for small wave number. The mathematical expression of the stream function is presented. Several interesting flow parameters are sketched and examined.

Effect of wall properties on the magnetohydrodynamic peristaltic flow of a Maxwell fluid with heat transfer and porous medium

AbstractThe elastic effect of the flexible walls is analyzed on the peristaltic motion of Maxwell fluid in a channel with heat transfer. An incompressible and magnetohydrodynamic (MHD) fluid fills the porous space. The series solution of the modeled problem is derived by considering small wave number. The influence of pertinent parameters is shown and discussed with the help of graphs. © 2009 Wiley Periodicals, Inc. Numer Methods Partial Differential Eq 2010

Slip effects in peristalsis

Taking slip condition into account the magnetohydrodynamic peristaltic flow in an asymmetric channel is theoretically analyzed. The analytic solutions for stream function, longitudinal pressure gradient, and temperature have been found in closed form by employing long wavelength and low Reynolds number approximations. A discussion for pressure rise and frictional forces is provided through numerical integration. Finally, the effects of various key parameters are discussed with the help of graphs and tables. © 2011 Wiley Periodicals, Inc. Numer Methods Partial Differential Eq 27: 1003–1015, 2011

The influence of wall properties on the MHD peristaltic flow of a Maxwell fluid with heat and mass transfer

This article describes the effects of heat and mass transfer on the magnetohydrodynamic (MHD) peristaltic flow in a planar channel with compliant walls. An incompressible Maxwell fluid occupies a porous space. The mathematical formulation is based upon the modified Darcy’s law. The analytic treatment of the solution is given by choosing a small wave number. The expressions of stream function, temperature distribution, concentration field and heat coefficient are constructed. The variations of several interesting parameters are discussed by sketching plots.

Effect of induced magnetic field on peristaltic transport of a Carreau fluid

Magnetohydrodynamic (MHD) peristaltic flow of a Carreau fluid in a channel with different wave forms are analyzed in this investigation. The flow analysis is conducted in the presence of an induced magnetic field. Long wavelength approach is adopted. Mathematical expressions of stream function, magnetic force function and an axial induced magnetic field are constructed. Pressure rise and pumping phenomena are described.

MHD peristaltic flow of a third order fluid in an asymmetric channel

AbstractThis study is concerned with peristaltic flow of a magnetohydrodynamic (MHD) fluid in an asymmetric channel. Asymmetry in the flow is induced by waves on the channel walls having different amplitudes and phase. A systematic approach based on an expansion of Deborah number is used for the solution series. Analytic expressions have been developed for the stream function, axial velocity and axial pressure gradient. The pressure rise over a wavelength has been addressed through numerical integration. Particular attention has been given to the effects of Hartman number and Deborah number on the pressure rise over a wavelength and the trapping phenomenon. Several limiting solutions of interest are obtained as the special cases of the presented analysis by taking the appropriate parameter(s) to be zero. Copyright © 2009 John Wiley & Sons, Ltd.