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.

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

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.

Unsteady MHD Couette Flow and Heat Transfer Between Parallel Porous Plates With Exponential Decaying Pressure Gradient

2005 ◽  
Author(s):  
Hazem A. Attia
Keyword(s):  
Magnetic Field ◽  
Heat Transfer ◽  
Pressure Gradient ◽  
Couette Flow ◽  
Fluid Motion ◽  
Electrically Conducting ◽  
Uniform Suction ◽  
Flow And Heat Transfer ◽  
Unsteady Couette Flow ◽  
Mhd Couette Flow

The unsteady Couette flow of an electrically conducting, viscous, incompressible fluid bounded by two parallel non-conducting porous plates is studied with heat transfer. 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 magnetic field and the uniform suction and injection on both the velocity and temperature distributions is examined.

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.

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 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.

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.

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.

scholarly journals Unsteady MHD Free Convection and Mass Transfer Flow Through a Vertical Oscillatory Porous Plate in a Rotating Porous Medium with Hall, Ion-slip Currents and Heat Source

2016 ◽  
Vol 64 (2) ◽  
pp. 91-98
Author(s):  
Md Delowar Hossain ◽  
Md Abdus Samad ◽  
Md Mahmud Alam
Keyword(s):  
Viscous Incompressible Fluid ◽  
Perturbation Technique ◽  
Porous Plate ◽  
Concentration Field ◽  
Harmonic Oscillation ◽  
Governing Equations ◽  
Electrically Conducting ◽  
Ion Slip ◽  
Flow Through ◽  
Transfer Flow

The analytical solution is made on the unsteady flow of an electrically conducting viscous incompressible fluid bounded by an infinite vertical porous plate. The plate executes harmonic oscillation at a frequency n in its own plane. The governing equations of the problem contain coupled partial differential equations. The dimensionless equations are solved analytically using perturbation technique. The effect of various parameters of the problem on the velocity, temperature and concentration field within the boundary layer are discussed and shown graphically. Dhaka Univ. J. Sci. 64(2): 91-98, 2016 (July)

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