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

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

Article

1998 ◽  
Vol 76 (5) ◽  
pp. 391-401
Author(s):  
MES Ahmed ◽  
H A Attia
Keyword(s):  
Magnetic Field ◽  
Outer Cylinder ◽  
Constant Heat Flux ◽  
Constant Heat ◽  
Eccentric Annulus ◽  
Electrically Conducting ◽  
Flow And Heat Transfer ◽  
The Magnetic Field ◽  
External Uniform Magnetic Field ◽  
Steady Laminar

The steady laminar flow and heat transfer of an incompressible, electrically conducting, non-Newtonian fluid in an eccentric annulus are studied in the presence of an external uniform magnetic field. The inner cylinder is subject to a constant heat flux while the outer cylinder is adiabatic and the viscous and Joule dissipations are taken into consideration. A numerical solution for the governing partial differential equations is developed and the influence of the magnetic field on both the velocity and temperature distributions are discussed.PACS Nos.: 47.65, 47.50, 47.15C

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

Analytical Investigation of Nusselt Number and Skin Friction of Fluid Flow Over a Stretching Sheet Using Optimal Homotopy Asymptotic Method

2020 ◽  
Vol 12 (5) ◽  
pp. 657-661
Author(s):  
Zohreh Aliannejadi
Keyword(s):  
Magnetic Field ◽  
Heat Transfer ◽  
Boundary Layer ◽  
Nusselt Number ◽  
Fluid Flow ◽  
Differential Equations ◽  
Skin Friction ◽  
Flow And Heat Transfer ◽  
Optimal Homotopy Asymptotic Method ◽  
The Magnetic Field

In many cases such as production of metal sheets, the behavior of fluid flow and heat transfer in the neighborhood of a hot plate is very important. The CFD simulation of fluid flow is a widespread study that reveals detail information about the fluid flow in the calculated domain. In this study, the flow and heat transfer of a specific fluid in the above area of a stretching plate is examined analytically to find the variation of skin friction and Nusselt number. For this purpose, the similarity transformations can be employed to achieve the ordinary differential equations from the governing partial differential equations. The optimal homotopy asymptotic method (OHAM) is used to solve the ordinary differential equations which is applicable in solving of nonlinear equations. The effects of magnetic field on the analytical results from solving the equations are evaluated in detail. It is found that the thickness of the flow boundary layer decreases and the thickness of the thermal boundary layer increases by increasing in the magnetic field. Moreover, the Nusselt number is lower and skin friction is higher for the higher values of the magnetic field.

Effect of Local Magnetic Fields on Electrically Conducting Fluid Flow and Heat Transfer

2012 ◽  
Vol 135 (2) ◽  
Author(s):  
Xidong Zhang ◽  
Hulin Huang
Keyword(s):  
Magnetic Field ◽  
Heat Transfer ◽  
Reynolds Number ◽  
Vortex Shedding ◽  
Conducting Fluid ◽  
Local Magnetic Field ◽  
Electrically Conducting ◽  
Flow And Heat Transfer ◽  
Electrically Conducting Fluid ◽  
The Impact

The prediction of electrically conducting fluid past a localized zone of applied magnetic field is the key for many practical applications. In this paper, the characteristics of flow and heat transfer (HI) for a liquid metal in a rectangular duct under a local magnetic field are investigated numerically using a three-dimensional model and the impact of some parameters, such as constrainment factor, κ, interaction parameter, N, and Reynolds number, Re, is also discussed. It is found that, in the range of Reynolds number 100 ≤ Re ≤ 900, the flow structures can be classified into the following four typical categories: no vortices, one pair of magnetic vortices, three pairs of vortices and vortex shedding. The simulation results indicate that the local heterogeneous magnetic field can enhance the wall-heat transfer and the maximum value of the overall increment of HI is about 13.6%. Moreover, the pressure drop penalty (ΔPpenalty) does not increasingly depend on the N for constant κ and Re. Thus, the high overall increment of HI can be obtained when the vortex shedding occurs.

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