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Fundamental Solution for the Plane Problem in Magnetothermoelastic Diffusion Media

Kumar R., Chawla V.

Computational Methods in Science and Technology

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2013

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Vol. 19, No. 4

195--207

EN

The aim of the present paper is to study the fundamental solution in orthotropic magneto- thermoelastic diffusion media. With this objective, firstly the two-dimensional general solution in orthotropic magnetothermoelastic diffusion media is derived. On the basis of thegeneral solution, the fundamental solution for a steady point heat source in an infinite and a semiinfinite orthotropic magnetothermoelastic diffusion material is constructed by four newly introduced harmonic functions. The components of displacement, stress, temperature distribution and mass concentration are expressed in terms of elementary functions. From the present investigation, some special cases of interest are also deduced and compared with the previously obtained results. The resulting quantities are computed numerically for infinite and semi-infinite magnetothermoelastic material and presented graphically to depict the magnetic effect.

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General steady-state solution and Green’s functions in orthotropic piezothermoelastic diffusion medium

Kumar R., Chawla V.

Archives of Mechanics

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2012

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Vol. 64, nr 6

555-555

EN

The present investigation deals with the study of Green’s functions in orthotropic piezothermoelastic diffusion media. With this objective, firstly the two-dimensional general solution in orthotropic piezothermoelastic diffusion media is derived. On the basis of general solution, the Green function for a point heat source and chemical potential source in the interior of semi-infinite orthotropic piezothermoelastic diffusion material is constructed by five newly introduced harmonic functions. The components of displacement, stress, electric displacement, electric potential, temperature change and chemical potential are expressed in terms of elementary functions. Since all the components are expressed in terms of elementary functions, this fact makes them convenient to use. From the present investigation, a special case of interest is also analyzed to depict the effect of diffusion. Resulting quantities are computed numerically and presented graphically to illustrate the effect of diffusion.

3

Combined free and forced convection flow past a semi-infinite vertical plate embedded in a homogeneous porous medium

Ray S. N., Soundalgker V. M.

Applied Mechanics and Engineering

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1999

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Vol. 4, no 4

641-648

EN

Combined free and forced convection flow of a viscous incompressible fluid past a semi-infinite vertical plate embedded in a homogeneous porous medium is studied here. With usual boundary layer transformations, the equations are reduced to local non-similar forms and these are solved numerically on a computer. Velocity and temperature profiles are shown graphically and the numerical values of the skin-friction and the rate of heat transfer are listed in a table. The effects of the parameters Gr/Re2 (Gr - Grashof number Re - the Reynolds number), 'alpha' (coefficient of viscosities of the fluid and porous medium), 'sigma' (the Darcy number), Pr (the Prandtl number) and E (the Eckert number) on the flow field are discussed.