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Study of Conjugate Heat Transfer in Electromagnetic Liquid Metal Dream Pipe

Puvaneswari P., Shailendhra K.

Archive of Mechanical Engineering

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2017

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Vol. LXIV, nr 3

375--399

EN

The combined effect of conjugation, external magnetic field and oscillation on the enhancement of heat transfer in the laminar flow of liquid metals between parallel plate channels is analyzed. In order to make our results useful to the design engineers, we have considered here only the wall materials that are widely employed in liquid metal heat exchangers. Indeed, all the results obtained through this mathematical investigation are in excellent agreement with the available experimental results. The effective thermal diffusivity κe is increased by 3 · 106 times due to oscillation and that the heat flux as high as 1.5 · 1010 (W/m2) can be achieved. Based on our investigation, we have recommended the best choice of liquid metal heat carrier, wall material and its optimum thickness along with the optimum value of the frequency to maximize the heat transfer rate. At the optimum frequency, by choosing a wall of high thermal conductivity and optimum thickness, an increase of 19.98% in κe can be achieved. Our results are directly relevant to the design of a heat transfer device known as electromagnetic dream pipe which is a very recent development.

2

Non-perturbative solution for hydromagnetic flow over a linearly stretching sheet

Makinde O. D., Mahabaleswar U. S., Maheshkumar N.

International Journal of Applied Mechanics and Engineering

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2013

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Vol. 18, no. 3

935--943

EN

In this paper, the Adomian decomposition method with Padé approximants are integrated to study the boundary layer flow of a conducting fluid past a linearly stretching sheet under the action of a transversely imposed magnetic field. A closed form power series solution based on Adomian polynomials is obtained for the similarity nonlinear ordinary differential equation modelling the problem. In order to satisfy the farfield condition, the Adomian power series is converted to diagonal Padé approximants and evaluated. The results obtained using ADM-Padé are remarkably accurate compared with the numerical results. The proposed technique can be easily employed to solve a wide range of nonlinear boundary value problems.

3

Thermal radiation effects on hydromagnetic flow

Abdelkhalek M. M.

Computer Assisted Mechanics and Engineering Sciences

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2007

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Vol. 14, No. 3

471-484

EN

Numerical results are presented for the effects of thermal radiation, buoyancy and heat generation or absorption on hydromagnetic flow over an accelerating permeable surface. These results are obtained by solving the coupled nonlinear partial differential equations describing the conservation of mass, momentum and energy by a perturbation technique. This qualitatively agrees with the expectations, since the magnetic field exerts a retarding force on the free convection flow. A parametric study is performed to illustrate the influence of the radiation parameter, magnetic parameter, Prandtl number, Grashof number and Schmidt number on the profiles of the velocity components and temperature. The effects of the different parameters on the velocity and temperature profiles as well as the skin friction and wall heat transfer are presented graphically. Favorable comparisons with previously published work confirm the correctness of numerical results.

4

Hydromagnetic flow of a dusty fluid between parallel porous plates, considering the ion slip

Attia H. A.

Journal of Technical Physics

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2006

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Vol. 47, no 3

131-147

EN

In the present study, the transient hydromagnetic flow between parallel porous plates of a dusty viscous, incompressible, electrically conducting fluid under the influence of a constant pressure gradient is studied, considering the ion slip. The parallel plates are assumed to be porous and subjected to 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 as functions of time and space.

5

The effect of thermal dispersion on hydromagnetic flow and heat transfer past a continuously moving porous boundary with temperature dependent viscosity

Bishay S. S., Seddeek M. A., Mohamdien Gh. F.

Mechanics and Mechanical Engineering

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2002

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Vol. 6, nr 1

43-49

EN

The effects of thermal dispersion and magnetic field on the flow and heat transfer past a continuously moving porous plate in a stationary fluid has been analyzed. The fluid viscosity is assumed to vary as an inverse linear function of temperature. By means of the similarity solutions, deviation of the velocity and temperature fields as well as the skin friction and heat transfer results from their constant values are determined numerically by using the shooting method. The effects of thermal dispersion, variable viscosity, magnetic field, and suction (or injection) parameters on the velocity and temperature profiles have been studied.

6

Heat and mass transfer in a hydromagnetic flow between two parallel permeable plates

Eldabe N. T. M., Mohamed M. A. A.

Mechanics and Mechanical Engineering

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2001

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Vol. 5, nr 2

169-184

EN

An analytical study of magnetohydrodynamic free-convective and mass-transfer flow between two parallel permeable plates, is presented, tacking into account the Eckert number effects. The solution of the problem is obtained using perturbation method with Eckert number E(<< 1) as perturbation parameter. Analytical expressions are given for the velocity distribution, temperature field, skin-friction, heat transfer and mass transfer. The detailed study has been made to know the effects of the various parameters entering into the problem.

7

Hiemenz flow of a micropolar fluid in hydromagnetics

Mohammadein A. A., El Kabeir S. M., El-Hakiem M. A., Gorla R. S. R.

Applied Mechanics and Engineering

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1998

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Vol. 3, no 3

367-376

EN

A boundary layer analysis has been presented for Hiemenz flow in hydromagnetics of a micropolar incompressible, viscous, electrically conducting fluid impinging normal to a plane in the presence of a transverse magnetic field. Numerical solutions are given for the governing momentum and angular momentum equations. An approximate solution is given which is simple and yet sufficiently accurate for the entire range of values of Harman number investigated. A discussion has been provided for the effect micropolar parameters on Hiemenz flow in hydromagnetics.