Effect of Wave Number on Thermal Convection in Couple-Stress Fluid in The Presence of Rotation and Magnetic Field

The effect of wave number and rotation on the thermal convection in couple-stress fluid heated from below in the presence of uniform magnetic field is investigated. The paper established the regime for all non-oscillatory and nondecaying slow motions starting from rest; the necessary condition for t...

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Bibliographic Details
Published in:Research Journal of Engineering and Technology 2014-10, Vol.5 (4), p.169-177
Main Authors: Singh, Kamal, Banyal, Ajaib S
Format: Article
Language:English
Subjects:
Boundaries
Chandrasekhar number
Computational fluid dynamics
Constants
Convection
Couple-Stress Fluid
Joining
Magnetic Field
Magnetic fields
Mathematical models
PES
Rotation
Thermal convection
Wavelengths
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Summary:The effect of wave number and rotation on the thermal convection in couple-stress fluid heated from below in the presence of uniform magnetic field is investigated. The paper established the regime for all non-oscillatory and nondecaying slow motions starting from rest; the necessary condition for the existence of ‘overstability’ and the sufficient condition for the validity of the ‘exchange principle’ is also derived, when both the bounding planes are rigid. Further, the stationary convection at marginal state with free horizontal boundaries is analyzed numerically and graphically, showing that the rotation has a stabilizing effect on the system. In the presence of rotation; the magnetic field and couple-stress parameter has stabilizing (or destabilizing) effect on the system depending upon conditions satisfied. In the absence of rotation, both magnetic field and couple-stress parameter has stabilizing effect. However, for the constant magnitude of any of the couple-stress parameter, magnetic field and rotation, the wave number has a destabilizing effect for a value less than the critical value, which varies with the magnitude of the couple-stress parameter, magnetic field and rotation; and for higher values than the critical value of the wave number; it has a stabilizing effect on the system.
ISSN:0976-2973
2321-581X