scholarly journals Effects of Slip, Brownian Motion and Thermophoresis on Peristaltic Pumping of Nano Fluid in an Asymmetric Channel with Porous Medium

2018 ◽  
Vol 7 (4.10) ◽  
pp. 484 ◽  
Author(s):  
S. Sreenadh ◽  
G. Yasodhara ◽  
B. Sumalatha ◽  
A. N.S.Srinivas
Keyword(s):  
Porous Medium ◽  
Nonlinear Partial Differential Equations ◽  
Asymmetric Channel ◽  
Peristaltic Motion ◽  
Governing Equations ◽  
Long Wavelength ◽  
Electrically Conducting ◽  
Nano Fluid ◽  
Peristaltic Pumping ◽  
Uniform Parameter

This paper deals with peristaltic motion of electrically conducting nanofluid in a tapered asymmetric channel through a porous medium in presence of heat and mass transfer under the effect of slip conditions. The problem is reduced mathematically by a set of nonlinear partial differential equations which describe the conservation of mass, momentum, energy and concentration of nanoparticles. The non-dimensional form of these equations is simplified under the assumption of long wavelength and low Reynolds number. The coupled governing equations are solved analytically. The expressions for velocity, stream function, temperature and concentration are derived. The results have been presented graphically for the various interested emerging parameters and the obtained results are discussed in detail. It is observed that the magnitude of the velocity decreases in the middle of the channel while it increases near the channel walls with an increase in the non-uniform parameter  It is also noticed that the nanoparticle temperature increases with increasing thermal slip parameter . The present result coincides with the findings of Kothandapani and Prakash [19].  

scholarly journals MHD Effect on Peristaltic Transport for Rabinowitsch Fluid through A Porous Medium in Cilia Channel

2020 ◽  
pp. 1461-1472
Author(s):  
Saba S. Hasen ◽  
Ahmed M. Abdulhadi
Keyword(s):  
Porous Medium ◽  
Hartmann Number ◽  
Perturbation Technique ◽  
Nonlinear Partial Differential Equations ◽  
Reynold Number ◽  
Peristaltic Flow ◽  
Mass Motion ◽  
Governing Equations ◽  
Long Wavelength ◽  
The Magnetic Field

This paper is employed to discuss the effects of the magnetic field and heat transfer on the peristaltic flow of Rabinowitsch fluid through a porous medium in the cilia channel. The governing equations (mass, motion, and energy) are formulated and then the assumptions of long wavelength and low Reynold number are used for simplification. The velocity field, pressure gradient, temperature, and streamlines are obtained when the perturbation technique is applied to solve the nonlinear partial differential equations. The study shows that the velocity is decreased with increasing Hartmann number while it is decreased with increasing the porosity.

scholarly journals Electro-osmotic driven flow of Eyring Powell nanofluid in an asymmetric channel

2021 ◽  
Author(s):  
Vijayaragavan R ◽  
Tamizharasi P ◽  
Magesh A
Keyword(s):  
Electroosmotic Flow ◽  
Numerical Study ◽  
Nonlinear Partial Differential Equations ◽  
Mathematical Software ◽  
Asymmetric Channel ◽  
Governing Equations ◽  
Electrical Field ◽  
Nano Fluid ◽  
Theory Approximation ◽  
Energy Equations

This article aims to investigate the numerical study of electroosmotic flow of the Eyring Powell fluid under the peristaltic mechanism with the influence of the porous medium in the micro-channel. The modified system is applied externally to an electrical field in the horizontal direction and to a magnetic field in the transverse direction. The flow of nanofluids is considered in the computation. The governing equations in the nano-fluid flow are modulated. Influence of lubrication theory approximation longequations are shortened. Reduced coupled nonlinear partial differential equations like velocity and energy equations are numerically solved using the powerful and well-known mathematical software MATHEMATICA by built in NDSolve command. The influence of various important parameters on the velocity and temperature profile is summarised by graphs.

scholarly journals Peristaltic Flow of a Nanofluid under the Effect of Hall Current and Porous Medium

2014 ◽  
Vol 2014 ◽  
pp. 1-15 ◽  
Author(s):  
Khalid Nowar
Keyword(s):  
Porous Medium ◽  
Homotopy Perturbation Method ◽  
Peristaltic Flow ◽  
Governing Equations ◽  
Closed Form Solutions ◽  
Long Wavelength ◽  
Electrically Conducting ◽  
Hall Effects ◽  
Physical Quantities ◽  
Quantities Of Interest

The problem of peristaltic flow of an incompressible viscous electrically conducting nanofluid in a vertical asymmetric channel through a porous medium is investigated by taking the Hall effects into account. The governing equations are formulated and simplified under the assumptions of long wavelength and low Reynolds number. The solutions for temperature and nanoparticle profiles are obtained by using the homotopy perturbation method (HPM) and closed form solutions for stream function and pressure gradient are developed. Finally, the effects of various emerging parameters on the physical quantities of interest are plotted and discussed.

scholarly journals Conducting dusty fluid flow through a constriction in a porous medium

2016 ◽  
Vol 5 (1) ◽  
pp. 29
Author(s):  
Madhura K R ◽  
Uma M S
Keyword(s):  
Porous Medium ◽  
Hartmann Number ◽  
Equations Of Motion ◽  
Fluid Phase ◽  
Dust Particles ◽  
Governing Equations ◽  
Electrically Conducting ◽  
Electrically Conducting Fluid ◽  
Flow Through ◽  
Constricted Channel

<p><span lang="EN-IN">The flow of an unsteady incompressible electrically conducting fluid with uniform distribution of dust particles in a constricted channel has been studied. The medium is assumed to be porous in nature. The governing equations of motion are treated analytically and the expressions are obtained by using variable separable and Laplace transform techniques. The influence of the dust particles on the velocity distributions of the fluid are investigated for various cases and the results are illustrated by varying parameters like Hartmann number, deposition thickness on the walls of the cylinder and the permeability of the porous medium on the velocity of dust and fluid phase.</span></p>

Slip and Heat Transfer Effects on Peristaltic Motion of a Carreau Fluid in an Asymmetric Channel

2010 ◽  
Vol 65 (12) ◽  
pp. 1121-1127 ◽  
Author(s):  
Tasawar Hayat ◽  
Najma Saleem ◽  
Awatif A. Hendi
Keyword(s):  
Heat Transfer ◽  
Peristaltic Flow ◽  
Asymmetric Channel ◽  
Peristaltic Motion ◽  
Carreau Fluid ◽  
Long Wavelength ◽  
Flow And Heat Transfer ◽  
Long Wavelength Approximation ◽  
Wavelength Approximation ◽  
Pumping And Trapping

An analysis has been carried out for peristaltic flow and heat transfer of a Carreau fluid in an asymmetric channel with slip effect. The governing problem is solved under long wavelength approximation. The variations of pertinent dimensionless parameters on temperature are discussed. Pumping and trapping phenomena are studied.

PERISTALTIC TRANSPORT OF A JEFFREY FLUID UNDER THE EFFECT OF SLIP IN AN INCLINED ASYMMETRIC CHANNEL

2010 ◽  
Vol 02 (02) ◽  
pp. 437-455 ◽  
Author(s):  
S. SRINIVAS ◽  
R. MUTHURAJ
Keyword(s):  
Reynolds Number ◽  
Channel Wall ◽  
Analytic Solution ◽  
Peristaltic Flow ◽  
Jeffrey Fluid ◽  
Asymmetric Channel ◽  
Long Wavelength ◽  
Electrically Conducting ◽  
Inclined Asymmetric Channel ◽  
Pumping And Trapping

Peristaltic flow of a Jeffrey fluid in an inclined asymmetric channel is undertaken when the no-slip condition at the channel wall is no longer valid. The considered fluid is incompressible and electrically conducting. The flow is investigated in a waveframe of reference moving with the velocity of the wave. The analytic solution has been derived for the stream function under long wavelength and low Reynolds number assumptions. The effect of slip and non-Newtonian parameter on the axial velocity and shear stress are discussed in detail. The salient features of pumping and trapping are discussed with particular focus on the effect of slip and non-Newtonian parameters.

scholarly journals Hall Currents and Heat Transfer Effects on Peristaltic Transport in a Vertical Asymmetric Channel through a Porous Medium

2012 ◽  
Vol 2012 ◽  
pp. 1-23 ◽  
Author(s):  
E. Abo-Eldahab ◽  
E. Barakat ◽  
Kh. Nowar
Keyword(s):  
Heat Transfer ◽  
Reynolds Number ◽  
Porous Medium ◽  
Frame Of Reference ◽  
Peristaltic Transport ◽  
Shear Stresses ◽  
Asymmetric Channel ◽  
Transfer Effects ◽  
Long Wavelength ◽  
Heat Transfer Effects

The influences of Hall currents and heat transfer on peristaltic transport of a Newtonian fluid in a vertical asymmetric channel through a porous medium are investigated theoretically and graphically under assumptions of low Reynolds number and long wavelength. The flow is investigated in a wave frame of reference moving with the velocity of the wave. Analytical solutions have been obtained for temperature, axial velocity, stream function, pressure gradient, and shear stresses. The trapping phenomenon is discussed. Graphical results are sketched for various embedded parameters and interpreted.

scholarly journals Effect of Rotation and Magnetic Field through Porous Medium on Peristaltic Transport of a Jeffrey Fluid in Tube

2011 ◽  
Vol 2011 ◽  
pp. 1-13 ◽  
Author(s):  
S. R. Mahmoud
Keyword(s):  
Magnetic Field ◽  
Porous Medium ◽  
Analytic Solution ◽  
Pressure Rise ◽  
Peristaltic Transport ◽  
Jeffrey Fluid ◽  
Axial Pressure ◽  
Long Wavelength ◽  
Electrically Conducting ◽  
Axial Pressure Gradient

This paper is concerned with the analysis of peristaltic motion of a Jeffrey fluid in a tube with sinusoidal wave travelling down its wall. The effect of rotation, porous medium, and magnetic field on peristaltic transport of a Jeffrey fluid in tube is studied. The fluid is electrically conducting in the presence of rotation and a uniform magnetic field. An analytic solution is carried out for long wavelength, axial pressure gradient, and low Reynolds number considerations. The results for pressure rise and frictional force per wavelength were obtained, evaluated numerically, and discussed briefly.

scholarly journals Hypothetical analysis for peristaltic transport of metallic nanoparticles in an inclined annulus with variable viscosity

2016 ◽  
Vol 64 (2) ◽  
pp. 447-454 ◽  
Author(s):  
S. Nadeem ◽  
H. Sadaf
Keyword(s):  
Metallic Nanoparticles ◽  
Base Fluid ◽  
Variable Viscosity ◽  
Peristaltic Transport ◽  
Two Dimensional ◽  
Peristaltic Motion ◽  
Sinusoidal Wave ◽  
Governing Equations ◽  
Long Wavelength ◽  
Two Dimensional Flow

Abstract The main objective of this article is to present a mathematical model for peristaltic transport in an inclined annulus. In this analysis, two-dimensional flow of a viscous nanofluid is observed in an inclined annulus with variable viscosity. Copper as nanoparticle with blood as its base fluid has been considered. The inner tube is unifom or rigid, while the outer tube takes a sinusoidal wave. Governing equations are solved under the well-known assumptions of low Reynolds number and long-wavelength. Exact solutions have been established for both velocity and nanoparticle temperature. The features of the peristaltic motion are explored by plotting graphs and discussed in detail

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