Homann magnetic flow and heat transfer with uniform suction or injection

2003 ◽  
Vol 81 (10) ◽  
pp. 1223-1230 ◽  
Author(s):  
H A Attia
Keyword(s):  
Magnetic Field ◽  
Heat Transfer ◽  
Numerical Solutions ◽  
Axisymmetric Flow ◽  
Electrically Conducting ◽  
Uniform Suction ◽  
Flow And Heat Transfer ◽  
Suction Or Injection ◽  
Energy Equations ◽  
The Magnetic Field

The steady axisymmetric flow of an incompressible viscous electrically conducting fluid impinging on a permeable flat plate with heat transfer is investigated. An external uniform magnetic field as well as a uniform suction or injection are applied normal to the plate, which is maintained at a constant temperature. Numerical solutions for the governing momentum and energy equations are obtained. The effect of the magnetic field and the uniform suction or injection on both the flow and heat transfer is presented and discussed.PACS Nos.: 47.50, 47.15

Hiemenz magnetic flow of a non-Newtonian fluid of second grade with heat transfer

2000 ◽  
Vol 78 (9) ◽  
pp. 875-882 ◽  
Author(s):  
H A Attia
Keyword(s):  
Magnetic Field ◽  
Heat Transfer ◽  
Newtonian Fluid ◽  
Second Grade ◽  
Magnetic Flow ◽  
Electrically Conducting ◽  
Flow And Heat Transfer ◽  
Energy Equations ◽  
The Magnetic Field ◽  
Steady Laminar

The steady laminar flow of an incompressible viscous electrically conducting non-Newtonian fluid of second grade impinging normal to a plane wall with heat transfer is investigated. An externally applied uniform magnetic field is applied normal to the wall, which is maintained at a constant temperature. A numerical solution for the governing momentum and energy equations is obtained. The effect of the characteristics of the non-Newtonian fluid and the magnetic field on both the flow and heat transfer is outlined. PACS Nos.: 47.50 and 47.15

Mixed Convection Cooling of a Stretching Sheet in the Presence of a Magnetic Field for Manufacturing Processes

2009 ◽  
Vol 419-420 ◽  
pp. 353-356 ◽  
Author(s):  
Chien Hsin Chen
Keyword(s):  
Magnetic Field ◽  
Heat Transfer ◽  
Numerical Solutions ◽  
Conducting Fluid ◽  
Manufacturing Processes ◽  
Stretching Surface ◽  
Electrically Conducting ◽  
Flow And Heat Transfer ◽  
Electrically Conducting Fluid ◽  
Rate Of Cooling

The problem of flow and heat transfer over a continuously stretching surface finds applications in many manufacturing processes, such as polymer extrusion, wire drawing, continuous casting, glass fiber production, and metallurgical processes. It is known that the properties of the final product depend considerably on the rate of cooling during the manufacturing processes. The rate of cooling can be controlled by drawing the strips in an electrically conducting fluid subject to a magnetic field, so that a final product of desired characteristics can be achieved. In this study, the problem of magneto-hydrodynamic (MHD) mixed convective flow and heat transfer of an electrically conducting fluid past a stretching surface under the influence of an applied magnetic field is analyzed. After transforming the governing equations with suitable dimensionless variables, numerical solutions are generated by an implicit finite-difference technique for the non-similar, coupled flow. To reveal the tendency of the solutions, typical results for the velocity and temperature profiles, the skin-friction coefficient, and the local Nusselt number are presented for different parameters.

scholarly journals A Note on the Unsteady Incompressible MHD Fluid Flow with Slip Conditions and Porous Walls

2013 ◽  
Vol 2013 ◽  
pp. 1-10 ◽  
Author(s):  
H. Zaman ◽  
Z. Ahmad ◽  
M. Ayub
Keyword(s):  
Magnetic Field ◽  
Heat Transfer ◽  
Heat Transfer Analysis ◽  
Slip Parameter ◽  
Slip Conditions ◽  
Flow And Heat Transfer ◽  
Transient Velocity ◽  
Suction Or Injection ◽  
Incompressible Mhd ◽  
The Magnetic Field

This work is concerned with the influence of uniform suction or injection on flow and heat transfer analysis of unsteady incompressible magnetohydrodynamic (MHD) fluid with slip conditions. The resulting unsteady problem for velocity and heat transfer is solved by means of Laplace transform. The characteristics of the transient velocity, overall transient velocity, steady state velocity and heat transfer at the walls are analyzed and discussed. Graphical results reveal that the magnetic field, slip parameter, and suction (injection) have significant influences on the velocity, and temperature distributions, which also changes the heat transfer behaviors at the two plates. The results of Fang (2004) are also recovered by keeping magnetic field and slip parameter absent.

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.

scholarly journals Hydromagnetic flow and heat transfer adjacent to a stretching vertical sheet in a micropolar fluid

2013 ◽  
Vol 17 (2) ◽  
pp. 525-532
Author(s):  
Nor Yacob ◽  
Anuar Ishak ◽  
Ioan Pop
Keyword(s):  
Heat Transfer ◽  
Differential Equations ◽  
Micropolar Fluid ◽  
Leading Edge ◽  
Skin Friction Coefficient ◽  
Convection Flow ◽  
Electrically Conducting ◽  
Keller Box Method ◽  
Flow And Heat Transfer ◽  
The Magnetic Field

An analysis is carried out for the steady two-dimensional mixed convection flow adjacent to a stretching vertical sheet immersed in an incompressible electrically conducting micropolar fluid. The stretching velocity and the surface temperature are assumed to vary linearly with the distance from the leading edge. The governing partial differential equations are transformed into a system of ordinary differential equations, which is then solved numerically using a finite difference scheme known as the Keller box method. The effects of magnetic and material parameters on the flow and heat transfer characteristics are discussed. It is found that the magnetic field reduces both the skin friction coefficient and the heat transfer rate at the surface for any given K and ?. Conversely, both of them increase as the material parameter increases for fixed values of M and ?.

The effect of Hall current on magnetohydrodynamic flow and heat transfer forBingham fluids in a rectangular duct

2005 ◽  
Vol 83 (6) ◽  
pp. 637-651 ◽  
Author(s):  
Mohamed Eissa Sayed-Ahmed ◽  
Hazem Ali Attia
Keyword(s):  
Heat Transfer ◽  
Magnetohydrodynamic Flow ◽  
Rectangular Duct ◽  
Constant Wall Temperature ◽  
Electrically Conducting ◽  
Finite Difference Approximations ◽  
Thermal Boundary Conditions ◽  
Flow And Heat Transfer ◽  
Constant Wall Heat Flux ◽  
Energy Equations

Laminar fully developed magnetohydrodynamic flow and heat transfer through a rectangular duct are investigated for the case of a viscous incompressible electrically conducting Bingham fluid. A constant pressure gradient and an external uniform magnetic field are applied. The Hall effect is taken into consideration. As thermal boundary conditions, constant wall heat flux is assumed axially and constant wall temperature is assumed peripherally, while the apparent viscosity is assumed to vary with the temperature. The governing momentum and energy equations are solved numerically with finite-difference approximations. The velocity, the temperature, the average friction factor, and the Nusselt number are computed for various values of the physical parameters.PACS Nos.: 44.05.te, 44.10.ti, 44.15.+a, 44.20.+b, 44.35.+c, 47.11.tj

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.

scholarly journals Dynamics of water conveying zinc oxide through divergent-convergent channels with the effect of nanoparticles shape when Joule dissipation are significant

PLoS ONE ◽  
2021 ◽  
Vol 16 (1) ◽  
pp. e0245208
Author(s):  
Umair Rashid ◽  
Azhar Iqbal ◽  
Haiyi Liang ◽  
Waris Khan ◽  
Muhammad Waqar Ashraf
Keyword(s):  
Heat Transfer ◽  
Zinc Oxide ◽  
Differential Equations ◽  
Homotopy Perturbation Method ◽  
Numerical Solutions ◽  
Nonlinear Partial Differential Equations ◽  
Joule Dissipation ◽  
Flow And Heat Transfer ◽  
Shape Effects ◽  
The Magnetic Field

Aim of study The shape effects of nanoparticles are very significant in fluid flow and heat transfer. In this paper, we discuss the effects of nanoparticles shape in nanofluid flow between divergent-convergent channels theoretically. In this present study, various shapes of nanoparticles, namely sphere, column and lamina in zinc oxide-water nanofluid are used. The effect of the magnetic field and joule dissipation are also considered. Research methodology The system of nonlinear partial differential equations (PDEs) is converted into ordinary differential equations (ODES). The analytical solutions are successfully obtained and compared with numerical solutions. The Homotopy perturbation method and NDsolve method are used to compare analytical and numerical results respectively. Conclusion The results show that the lamina shape nanoparticles have higher performance in temperature disturbance and rate of heat transfer as compared to other shapes of nanoparticles.

Homann Flow and Heat Transfer Through a Porous Medium with Uniform Suction or Injection

2021 ◽  
Vol 13 (1) ◽  
pp. 14
Author(s):  
Hazem A. Attia ◽  
Mohamed E. S. Ahmed ◽  
Karem M. Ewis ◽  
Ibrahim H. Abd Elmaksood
Keyword(s):  
Heat Transfer ◽  
Porous Medium ◽  
Uniform Suction ◽  
Flow And Heat Transfer ◽  
Suction Or Injection
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