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Thermosolutal Convection in Compressible Couple-Stress Fluid with Fine Dust


Affiliations
1 Department of Mathematics, Centre of Excellence, Sanjauli, Shimla, India
2 Department of Mathematics, St. Bede’s College, Shimla, India
3 Department of Mathematics, Govt Boys Sr. Sec. School, Kotkhai, Shimla, India
     

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A layer of compressible, couple-stress fluid permeated with suspended particles (fine dust), heated and soluted from below is considered. For the case of stationary convection; the compressibility, couple-stress and stable solute gradient postpone the set of convection where as the suspended particles hasten the onset of convection. The graphs have been plotted by giving numerical values to the parameters to depict the stability characteristics. The stable solute gradient is found to introduce the overstability modes in the system, which ware non-existing, in its absence. The case of overstability is also considered wherein the sufficient conditions for non-existence of overstability are obtained.


Keywords

Couple-Stress Fluid, Double-Diffusive Convection, Suspended Particles.
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  • Thermosolutal Convection in Compressible Couple-Stress Fluid with Fine Dust

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Authors

Chander Bhan Mehta
Department of Mathematics, Centre of Excellence, Sanjauli, Shimla, India
Susheel Kumar
Department of Mathematics, St. Bede’s College, Shimla, India
Sanjeev Gangta
Department of Mathematics, Govt Boys Sr. Sec. School, Kotkhai, Shimla, India

Abstract


A layer of compressible, couple-stress fluid permeated with suspended particles (fine dust), heated and soluted from below is considered. For the case of stationary convection; the compressibility, couple-stress and stable solute gradient postpone the set of convection where as the suspended particles hasten the onset of convection. The graphs have been plotted by giving numerical values to the parameters to depict the stability characteristics. The stable solute gradient is found to introduce the overstability modes in the system, which ware non-existing, in its absence. The case of overstability is also considered wherein the sufficient conditions for non-existence of overstability are obtained.


Keywords


Couple-Stress Fluid, Double-Diffusive Convection, Suspended Particles.