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1
Content available Exact solutions for the incompressible electrically conducting viscous flow between two moving parallel disks in unsteady magneto hydrodynamic and stability analysis
Balagondar P. M., Kempe Gowda M.
International Journal of Applied Mechanics and Engineering
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2013
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Vol. 18, no. 2
571--579
EN
The main interest of the present investigation is to generate exact solutions to the steady Navier-Stokes equations for the incompressible Newtonian viscous electrically conducting fluid flow motion and stability due to disks moving towards each other or in opposite directions with a constant velocity. Making use of the analytic solution, the description of possible conditions of motion is based on the exact solutions of the Navier-Stokes equations. Both stationary and transient cases have been considered. The stability of motion is analyzed for different initial perturbations. Different types of stability were found according to whether the disks moved towards or away from each other.
2
Content available remote Analytical investigation of the hydromagnetic flow in a porous medium due to periodically heated oscillating plate
Sharma B. K., Sharma P. K., Chand T., Chaudhary R. C.
International Journal of Applied Mechanics and Engineering
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2012
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Vol. 17, no. 4
1367-1375
EN
The Stokes second problem in the presence of a magnetic field in a porous medium is considered. The flow is due to an oscillating plate at the bottom of the porous medium of finite thickness and fully saturated with the viscous incompressible liquid. The plate is kept at oscillating temperature and a transverse uniform magnetic field is applied normal to the plate. It is assumed that the flow in the porous medium is governed by the Brinkman equations. The flows at the interface (porous medium-clear fluid boundary) are matched by the conditions suggested by Ochao-Tapia and Whittaker. Approximate solutions for velocity, temperature field, skin-friction and rate of heat transfer are calculated and effects of various parameters upon them are examined
3
Content available remote Velocity and Temperature Distributions between Parallel Porous Plates with the Hall Effect and Variable Properties Under Exponential Decaying Pressure Gradient
Attia H. A., Abdeen M. A. M.
Engineering Transactions
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2012
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Vol. 60, iss. 2
139-139
EN
The time varying hydromagnetic flow between two infinite parallel porous plates is studied with heat transfer considering the Hall effect and temperature dependent physical properties. An exponential decaying pressure gradient is imposed in the axial direction and an external uniform magnetic field as well as a uniform suction and injection are applied perpendicular to the horizontal plates. A numerical solution for the governing non-linear coupled set of equations of motion and the energy equation is adopted. The effects of the Hall current and the temperature dependent viscosity and thermal conductivity on both the velocity and temperature distributions are investigated.
4
Content available remote A characterization theorem in hydromagnetic double-diffusive convection coupled with cross diffusions
Mohan H.
Studia Geotechnica et Mechanica
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2010
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Vol. 32, nr 2
23-39
EN
In the present paper, the governing equations of hydromagnetic double-diffusive convection problem of Veronis' type coupled with cross diffusion are linearized by the construction of a proper transformation and the relationship between various energies is established. The analysis made shows that total kinetic energy associated with a disturbance is greater than the sum of its total magnetic and concentration energies in the parameter regime. The result is valid for quite general boundary conditions.
5
Content available remote Nonaxisymmetric Instability of a Streaming Annular Fluid Jet Surrounding a Tar Cylinder under General Tenuous Varying Magnetic Fields
Abdel-Gaied S. M.
Mechanics and Mechanical Engineering
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2008
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Vol. 12, nr 1
87-98
EN
The magnetodynamic stability of streaming annular jet surrounding a tar mantle under inertia and electromagnetic forces with varying magnetic fields, is developed. A general eigenvalue relation is derived and discussed. The axial interior and exterior fields have strong stabilizing influences for symmetric m = 0 and asymmetric m ≠ 0 modes. The azimuthal varying field is purely destabilizing for m = 0 but in the m ≠ 0 it is stabilizing or destabilizing according to restrictions. The streaming has a strong destabilizing influence in all modes for all wavelengths. Its influence increases the MFD unstable domains and decreases those of stability. As the tenuous azimuthal magnetic field infuence is superior to those of axial fields, the MFD unstable domains are increasing with increasing q (the tar cylinder radius normalized with respect to that of the fluid) values andvice versa. If the unperturbed fluid velocity is smaller than the Alfven wave velocity, the model destabilizing character is suppressed and stability arises.
6
Content available remote The evolution of three-dimensional perturbations in a magnetohydrodynamic couette flow
Balagondar P. M., Vijayalakshmi A. R.
International Journal of Applied Mechanics and Engineering
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2008
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Vol. 13, no 3
627-638
EN
The evolution of three-dimensional disturbances in a magnetohydrodynamic Couette flow is investigated using the initial-value problem approach. The general solution to the linearized equations governing three-dimensional disturbances is obtained by using two-dimensional Fourier transformation and other transformations rather than the traditional normal mode approach. The governing stability equation is solved using both the Fourier method and perturbation method. In the Fourier approach, the stability equation is reduced to Mathieu's equation and a periodic solution is obtained. Perturbation solution is obtained for small values of Alfvén velocity. Here Green's function method is employed to obtain the time evolution of linearized disturbances. A measure of disturbance energy is obtained in the case of square wave pulse for velocity and the magnetic field. The time evolution of the three-dimensional disturbances is obtained in terms of the two Green's function representations, one in the form of a Fourier sine series and the other in the form of sine hyperbolic functions representing the energy of a single component and the total energy of a single component. It is shown graphically that the total energy and the sum of first five components of energy are similar but are of different magnitudes.
7
Content available remote 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.
8
Influence of fluctuating surface temperature and velocity on unsteady MHD natural convection adjacent to a permeable surface immersed in porous medium with heat absorption
Chaudhary R. C., Jain P.
Journal of Technical Physics
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2006
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Vol. 47, no 4
239-254
EN
The present study will focus on the combined effect of oscillating surface temperature and fluctuating surface velocity, under the action of uniform transverse magnetic field applied normally to the plane and internal heat absorption effect. The wall temperature is oscillating periodically in time about a non-zero constant mean temperature. The plate is permeable enabling possible fluid withdrawal. The nonlinear coupled partial differential equations governing the flow, representing the constitutive laws, are transformed into a system of ordinary differential equations by the perturbation technique. A parametric study of all the parameters involved is conducted and a representative set of numerical results concerning the velocity and temperature profiles, as well as the amplitude and phase of skin friction and Nusselt number, is illustrated graphically to show typical trends of the solutions.
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