Effect of hall currents on thermal instability of dusty couple stress fluid

In this paper, effect of Hall currents on the thermal instability of couple-stress fluid permeated with dust particles has been considered. Following the linearized stability theory and normal mode analysis, the dispersion relation is obtained. For the case of stationary convection, dust particles a...

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Bibliographic Details
Published in:Archives of thermodynamics 2016-09, Vol.37 (3), p.3-18
Main Authors: Aggarwal, Amrish Kumar, Verma, Anushri
Format: Article
Language:English
Subjects:
Couple-stress fluid
Dust particles
Hall currents
Magnetic field
Oscillatory modes
Stationary convection
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Summary:In this paper, effect of Hall currents on the thermal instability of couple-stress fluid permeated with dust particles has been considered. Following the linearized stability theory and normal mode analysis, the dispersion relation is obtained. For the case of stationary convection, dust particles and Hall currents are found to have destabilizing effect while couple stresses have stabilizing effect on the system. Magnetic field induced by Hall currents has stabilizing/destabilizing effect under certain conditions. It is found that due to the presence of Hall currents (hence magnetic field), oscillatory modes are produced which were non-existent in their absence.
ISSN:2083-6023
1231-0956
2083-6023
DOI:10.1515/aoter-2016-0016