Effect of the ion slip on the MHD flow of a dusty fluid with heat transfer under exponential decaying pressure gradient

Open Physics ◽  
2005 ◽  
Vol 3 (4) ◽  
Author(s):  
Hazem Attia
Keyword(s):  
Heat Transfer ◽  
Pressure Gradient ◽  
Equations Of Motion ◽  
Mhd Flow ◽  
Dust Particles ◽  
Parallel Plates ◽  
Electrically Conducting ◽  
Ion Slip ◽  
Energy Equations ◽  
External Uniform Magnetic Field

AbstractIn the present study, the unsteady Hartmann flow with heat transfer of a dusty viscous incompressible electrically conducting fluid under the influence of an exponentially decreasing pressure gradient is studied without neglecting the ion slip. The parallel plates are assumed to be porous and subjected to a uniform suction from above and injection from below while the fluid is acted upon by an external uniform magnetic field applied perpendicular to the plates. The equations of motion are solved analytically to yield the velocity distributions for both the fluid and dust particles. The energy equations for both the fluid and dust particles including the viscous and Joule dissipation terms, are solved numerically using finite differences to get the temperature distributions.

scholarly journals Numerical Study of MHD Flow and Heat Transfer Through Porous Medium Between Two Parallel Plates With Hall and Ion Slip Effects

2020 ◽  
Vol 7 ◽  
Keyword(s):  
Heat Transfer ◽  
Porous Medium ◽  
Numerical Study ◽  
Mhd Flow ◽  
Parallel Plates ◽  
Electrically Conducting ◽  
Flow And Heat Transfer ◽  
Slip Effects ◽  
Ion Slip ◽  
Temperature And Pressure

This paper studies the effects of Hall and ion slip on two dimensional incompressible flow and heat transfer of an electrically conducting viscous fluid in a porous medium between two parallel plates, generated due to periodic suction and injection at the plates. The flow field, temperature and pressure are assumed to be periodic functions in ti e ω and the plates are kept at different but constant temperatures. A numerical solution for the governing nonlinear ordinary differential equations is obtained using quasilinearization method. The graphs for velocity, temperature distribution and skin friction are presented for different values of the fluid and geometric parameters.

scholarly journals Ion slip effect on unsteady Hartmann flow with heat transfer under exponential decaying pressure gradient

2006 ◽  
Vol 2006 ◽  
pp. 1-12
Author(s):  
Hazem A. Attia
Keyword(s):  
Heat Transfer ◽  
Pressure Gradient ◽  
Energy Equation ◽  
Viscous Incompressible Fluid ◽  
Fluid Motion ◽  
Electrically Conducting ◽  
Uniform Suction ◽  
Temperature Distributions ◽  
Ion Slip ◽  
External Uniform Magnetic Field

The unsteady Hartmann flow of an electrically conducting, viscous, incompressible fluid bounded by two parallel nonconducting porous plates is studied with heat transfer taking the ion slip into consideration. An external uniform magnetic field and a uniform suction and injection are applied perpendicular to the plates, while the fluid motion is subjected to an exponential decaying pressure gradient. The two plates are kept at different but constant temperatures while the Joule and viscous dissipations are included in the energy equation. The effect of the ion slip and the uniform suction and injection on both the velocity and temperature distributions is examined.

Axisymmetric Stagnation Point MHD Flow Over a Porous Plate With Heat Transfer

2003 ◽  
Author(s):  
Hazem Ali Attia
Keyword(s):  
Heat Transfer ◽  
Uniform Magnetic Field ◽  
Porous Plate ◽  
Mhd Flow ◽  
Hydromagnetic Flow ◽  
Electrically Conducting ◽  
Electrically Conducting Fluid ◽  
Porous Flat Plate ◽  
Suction Or Injection ◽  
External Uniform Magnetic Field

The steady axisymmetric hydromagnetic flow of an incompressible viscous electrically conducting fluid impinging on a porous flat plate with heat transfer are investigated. An external uniform magnetic field and a uniform suction or injection are applied normal to the plate which is maintained at a constant temperature. Numerical solution for the governing nonlinear equations is obtained.

Unsteady Hydromagnetic Generalized Couette Flow of a Non-Newtonian Fluid With Heat Transfer Between Parallel Porous Plates

2008 ◽  
Vol 130 (11) ◽  
Author(s):  
Hazem Ali Attia ◽  
Mohamed Eissa Sayed-Ahmed
Keyword(s):  
Heat Transfer ◽  
Numerical Solutions ◽  
Fluid Motion ◽  
Casson Fluid ◽  
Lower Plate ◽  
Plate Temperature ◽  
Electrically Conducting ◽  
Energy Equations ◽  
External Uniform Magnetic Field ◽  
Newtonian Behavior

The unsteady magnetohydrodynamics flow of an electrically conducting viscous incompressible non-Newtonian Casson fluid bounded by two parallel nonconducting porous plates is studied with heat transfer considering the Hall effect. An external uniform magnetic field is applied perpendicular to the plates and the fluid motion is subjected to a uniform suction and injection. The lower plate is stationary and the upper plate is suddenly set into motion and simultaneously suddenly isothermally heated to a temperature other than the lower plate temperature. Numerical solutions are obtained for the governing momentum and energy equations taking the Joule and viscous dissipations into consideration. The effect of the Hall term, the parameter describing the non-Newtonian behavior, and the velocity of suction and injection on both the velocity and temperature distributions are studied.

A transient Hartmann flow with heat transfer of a non-Newtonian fluid with suction and injection, considering the Hall effect

2002 ◽  
Vol 67 (1) ◽  
pp. 27-47 ◽  
Author(s):  
HAZEM ALI ATTIA ◽  
MOHAMED EISSA SAYED-AHMED
Keyword(s):  
Heat Transfer ◽  
Hall Effect ◽  
Numerical Solutions ◽  
Constant Pressure ◽  
Power Law Fluid ◽  
Electrically Conducting ◽  
Finite Difference Approximations ◽  
Energy Equations ◽  
External Uniform Magnetic Field ◽  
Newtonian Behavior

The transient Hartmann flow of an electrically conducting viscous incompressible non-Newtonian power-law fluid between two parallel horizontal non-conducting porous plates is studied with heat transfer, without neglecting the Hall effect. A sudden uniform and constant pressure gradient, an external uniform magnetic field that is perpendicular to the plates, and uniform suction and injection through the surface of the plates are applied. The two plates are kept at different but constant temperatures, while the Joule and viscous dissipations are taken into consideration. Numerical solutions for the governing nonlinear momentum and energy equations are obtained using finite difference approximations. The effect of the Hall term, the parameter describing the non-Newtonian behavior, and the velocity of suction and injection on both the velocity and temperature distributions as well as the dissipation terms are examined.

Unsteady Hartmann flow with heat transfer of a viscoelastic fluid considering the Hall effect

2004 ◽  
Vol 82 (2) ◽  
pp. 127-139 ◽  
Author(s):  
H A Attia
Keyword(s):  
Heat Transfer ◽  
Hall Effect ◽  
Viscoelastic Fluid ◽  
Numerical Solutions ◽  
Constant Pressure ◽  
Electrically Conducting ◽  
Finite Difference Approximations ◽  
Energy Equations ◽  
External Uniform Magnetic Field ◽  
Newtonian Behavior

The unsteady Hartmann flow, with heat transfer, of an electrically conducting incompressible non-Newtonian viscoelastic fluid between two parallel horizontal nonconducting porous plates is studied taking into consideration the Hall effect. A sudden uniform and constant-pressure gradient, an external uniform magnetic field that is perpendicular to the plates, and uniform suction and injection through the surface of the plates are applied. The two plates are kept at different but constant temperatures while the Joule and viscous dissipations are taken into consideration. Numerical solutions for the governing momentum and energy equations are obtained using finite-difference approximations. The effect of the Hall term, the parameter describing the non-Newtonian behavior, and the velocity of suction and injection on both the velocity and temperature distributions is examined.PACS No.: 47.27.-i

scholarly journals MHD Flow of a Dusty Viscous Conducting Liquid Between Two Parallel Plates

2009 ◽  
Vol 1 (2) ◽  
pp. 220-225 ◽  
Author(s):  
P. Sreeharireddy ◽  
A. S. Nagarajan ◽  
M. Sivaiah
Keyword(s):  
Magnetic Field ◽  
Pressure Gradient ◽  
Incompressible Fluid ◽  
Transverse Magnetic Field ◽  
Magnetic Parameter ◽  
Mhd Flow ◽  
Transverse Magnetic ◽  
Dust Particles ◽  
Parallel Plates ◽  
Conducting Liquid

In this paper, the flow of a viscous conducting liquid with uniform distribution of dust particles in a channel is considered under the influence of a uniform transverse magnetic field with pressure gradient varying linearly with time. The velocities of fluid and dust are found to decrease with the increase of the magnetic parameter. Further that the velocity of the fluid particles is observed to be more than that of dust particles.Keywords: Viscous conducting liquid; Uniform transverse magnetic field; Fluidization; Incompressible fluid; Stoke’s resistance coefficient. © 2009 JSR Publications. ISSN: 2070-0237 (Print); 2070-0245 (Online). All rights reserved. DOI: 10.3329/jsr.v1i2.2280

scholarly journals The Effect of Varying Magnetic Number, Reynolds Number and Pressure Gradient on Velocity Profiles in an MHD Flow

2020 ◽  
Vol 5 (7) ◽  
pp. 387-394
Author(s):  
LIHAVI ANNET ◽  
Dr. Virginia Kitetu ◽  
Dr. Mary wainaina
Keyword(s):  
Reynolds Number ◽  
Pressure Gradient ◽  
Hartmann Number ◽  
Stokes Equations ◽  
Mhd Flow ◽  
Navier Stokes ◽  
Physical Parameters ◽  
Parallel Plates ◽  
Navier Stokes Equations ◽  
Electrically Conducting

Magnetohydrodynamic ow of a hot viscous electrically conducting incompressible uid through parallel plates is studied. In the study, the e ect of Hartmann number (M), pressure gradient and Reynolds number (Re) on the velocity eld is investigated. The Navier-stokes equations were coupled with Ohms law and then solved using nite di erence method (FDM). The velocity eld was computed for various values of the physical parameters and shown graphically. It was found that as the Hartmann number M increases, the velocity pro les decreased due to increased Lorents force while an increase in Reynolds number causes an increase in the velocity of the uid. All these analysis was done using MATLAB program and the results were presented in tables and graphs.

Unsteady MHD Flow and Heat Transfer of Dusty Fluid Between Two Cylinders With Variable Physical Properties

2004 ◽  
Author(s):  
Nagarajan Balasubramanian ◽  
Yitung Chen
Keyword(s):  
Magnetic Field ◽  
Heat Transfer ◽  
Electrical Conductivity ◽  
Outer Cylinder ◽  
Mhd Flow ◽  
Dust Particles ◽  
Dusty Fluid ◽  
Linear Partial Differential Equations ◽  
Different Temperatures ◽  
Energy Equations

A mathematical model for unsteady heat transfer and flow of an electrically conducting, viscous, incompressible dusty fluid in a channel formed between two concentric cylinders is developed. In the model, the fluid is driven along the channel by a constant pressure gradient, and an external magnetic field is applied in the direction perpendicular to the channel flow. The two cylinders are considered electrically insulated, and the surfaces maintained at constant but different temperatures with the outer cylinder being at a higher temperature. The viscosity and electrical conductivity of the fluid are considered varying with temperature. The equations governing flow and temperature distribution of both the fluid and the dust particles are a set of coupled momentum and energy equations. The derived system of non-linear partial differential equations is solved numerically on a two-dimensional computation grid using the Galerkin finite element method. The paper ends with discussions of the effect of the applied magnetic field and the variations in viscosity and electrical conductivity with temperature on the time development of the velocity and temperature distributions for both the fluid and dust particles.

Unsteady MHD flow and heat transfer of micropolar fluid in a porous medium between parallel plates

2015 ◽  
Vol 93 (8) ◽  
pp. 880-887 ◽  
Author(s):  
Odelu Ojjela ◽  
N. Naresh Kumar
Keyword(s):  
Heat Transfer ◽  
Micropolar Fluid ◽  
Mhd Flow ◽  
Nonlinear Ordinary Differential Equations ◽  
Parallel Plates ◽  
Uniform Temperature ◽  
Governing Equations ◽  
Electrically Conducting ◽  
Similarity Transformations ◽  
Flow And Heat Transfer

This paper presents an incompressible two-dimensional MHD flow and heat transfer of an electrically conducting micropolar fluid between parallel porous plates. The flow is generated by periodic injection or suction at the plates. The non-uniform temperature of the plates is assumed to vary periodically with time. The governing equations are reduced to nonlinear ordinary differential equations by using similarity transformations, then solved numerically using the quasilinearization technique. The profiles of velocity components, microrotatoion, and temperature distribution are studied for different fluid and geometric parameters.

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