Article

1998 ◽  
Vol 76 (9) ◽  
pp. 739-746
Author(s):  
H A Attia
Keyword(s):  
Energy Equation ◽  
Constant Pressure ◽  
Viscous Incompressible Fluid ◽  
Equations Of Motion ◽  
Fluid Motion ◽  
Governing Equations ◽  
Electrically Conducting ◽  
Flow And Heat Transfer ◽  
Temperature Distributions ◽  
External Uniform Magnetic Field

The unsteady flow and heat transfer of an electrically conducting, viscous, incompressible fluid bounded by two parallel nonconducting porous plates are studied taking the Hall effect into consideration. An external uniform magnetic field is applied normal to the plates, and the fluid motion is subjected to a constant pressure gradient and a uniform suction and injection. An analytical solution for the governing equations of motion is obtained and a numerical solution for the energy equation including the Joule and the viscous dissipation terms is developed. The effect of the Hall term on both the velocity and temperature distributions is examined.PACS No.: 47.70

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.

scholarly journals Flow and heat transfer in MHD visco-elastic fluid with ohmic heating

2016 ◽  
Vol 12 (1) ◽  
Author(s):  
Bandita Das ◽  
Rita Choudhury
Keyword(s):  
Ohmic Heating ◽  
Perturbation Technique ◽  
Equations Of Motion ◽  
Fluid Motion ◽  
Concentration Field ◽  
Governing Equations ◽  
Free Convective Flow ◽  
Flow And Heat Transfer ◽  
Graphical Illustration ◽  
Infinite Vertical Plate

An investigation is made of the motion of a visco-elastic, MHD free convective flow and mass transfer past an infinite vertical plate. The effects of ohmic heating and viscous dissipation are taken into account. For solving the non-dimensional governing equations of motion perturbation technique has been into used and the important properties of the overall structure of the fluid motion are studied. The effect of various parameters of the velocity field, concentration field and temperature distribution are discussed with the help of graphical illustration.

Free convection from a disk rotating in a vertical plane

1983 ◽  
Vol 126 ◽  
pp. 307-313 ◽  
Author(s):  
S. S. Chawla ◽  
A. R. Verma
Keyword(s):  
Convective Flow ◽  
Energy Equation ◽  
Viscous Incompressible Fluid ◽  
Fluid Motion ◽  
Axisymmetric Flow ◽  
Vertical Plane ◽  
Cross Flow ◽  
Accurate Solution ◽  
Free Convective Flow ◽  
Heated Disk

An exact solution of the free convective flow of a viscous incompressible fluid from a heated disk, rotating in a vertical plane, is obtained. The non-axisymmetric fluid motion consists of two parts; the primary von Kármán axisymmetric flow and the secondary buoyancy-induced cross-flow. A highly accurate solution of the energy equation is also derived for its subsequent use in the analysis of the cross-flow.

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>

Passive Heat Transfer in Porous Enclosures Using a Two-Energy Equation Model

2012 ◽  
Author(s):  
Marcelo J. S. deLemos ◽  
Paulo H. S. Carvalho
Keyword(s):  
Heat Transfer ◽  
Energy Equation ◽  
Equation Model ◽  
Thermal Conductivity Ratio ◽  
Governing Equations ◽  
Flow And Heat Transfer ◽  
Energy Models ◽  
Different Temperatures ◽  
Volume Method ◽  
Generalized Coordinate

This paper presents computations for natural convection within a porous cavity filled with a fluid saturated permeable medium. The finite volume method in a generalized coordinate system is applied. The walls are maintained at constant but different temperatures, while the horizontal walls are kept insulated. Governing equations are written in terms of primitive variables and are recast into a general form. Flow and heat transfer characteristics are investigated for two energy models and distinct solid-to-fluid thermal conductivity ratio.

scholarly journals Numerical investigation of MHD stagnation-point flow and heat transfer of sodium alginate non-Newtonian nanofluid

2019 ◽  
Vol 8 (1) ◽  
pp. 179-192 ◽  
Author(s):  
Bhuvnesh Sharma ◽  
Sunil Kumar ◽  
M.K. Paswan
Keyword(s):  
Differential Equations ◽  
Mixed Convection ◽  
Sodium Alginate ◽  
Volume Fraction ◽  
Skin Friction Coefficient ◽  
Electrically Conducting ◽  
Flow And Heat Transfer ◽  
Analytical Approximations ◽  
Temperature Distributions ◽  
Homotopy Analysis

Abstract A rigorous analysis of unsteady magnetohydrodynamic mixed convection and electrically conducting nanofluid model with a stretching/shrinking wedge is presented. First, the governing partial differential equations for momentum and energy conservation are converted to coupled nonlinear ordinary differential equations by means of exact similarity transformation. The homotopy analysis method (HAM) is employed to obtain the analytical approximations for flow velocity and temperature distributions of alumina-sodium alginate naofluid. The solution is found to be dependent on some parameters including the nanoparticle volume fraction, unsteadiness parameter, magnetic parameter, mixed convection parameter and the generalized prandtl number. A systematic study is carried out to illustrate the effects of these parameters on the velocity and temperature distributions. Also, the value of skin friction coefficient and local Nusselt number are compared with copper-sodium alginate and titania-sodium alginate nanofluids.

Analysis of Flow Induced Vibration Using the Vorticity Transport Equation

1993 ◽  
Vol 115 (3) ◽  
pp. 485-492 ◽  
Author(s):  
Jure Marn ◽  
Ivan Catton
Keyword(s):  
Parametric Analysis ◽  
Dynamic Instability ◽  
Equations Of Motion ◽  
Fluid Motion ◽  
Governing Equations ◽  
Flow Induced Vibration ◽  
The Subject ◽  
An Array Of Cylinders ◽  
Vorticity Transport ◽  
Square Array

Crossflow induced vibrations are the subject of this work. The analysis is two dimensional. The governing equations for fluid motion are solved using linearized perturbation theory and coupled with the equations of motion for cylinders to yield the threshold of dynamic instability for an array of cylinders. Parametric analysis is performed to determine the lowest instability threshold for a rotated square array and correlations are developed relating the dominant parameters. The results are compared with theoretical and experimental data for similar arrays and the discrepancies are discussed.

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.

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.

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.

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