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Gangta, Sanjeev
- Thermosolutal Convection in Compressible Couple-Stress Fluid with Fine Dust
Authors
1 Department of Mathematics, Centre of Excellence, Sanjauli, Shimla, IN
2 Department of Mathematics, St. Bede’s College, Shimla, IN
3 Department of Mathematics, Govt Boys Sr. Sec. School, Kotkhai, Shimla, IN
Source
International Journal of Technology, Vol 4, No 1 (2014), Pagination: 1-5Abstract
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.
- ‘Effective Interfacial Tension’ Effect on the Instability of Streaming Rivlin-Ericksen Elastico-Viscous Fluids in Porous Medium
Authors
1 Department of Mathematics, Govt. Boys Sr. Secondary School, Kotkhai, Disstt Shimla. Himachal Pradesh, IN
2 Department of Mathematics, Center of excellence , Govt College, Sanjauli, Shimla, Himachal Pradesh, IN
Source
International Journal of Technology, Vol 4, No 1 (2014), Pagination: 1-5Abstract
The Instability of the plane interface between two uniform, superposed and streaming Rivlin-Ericksen elastico-viscous fluids through porous media, including 'effective interfacial tension' effect, is considered. In the absence of 'effective interfacial tension' stability/ instability of the system as well as perturbations transverse to the direction of streaming are found to be unaffected by the presence of streaming if perturbations in the direction of streaming are ignored, whereas for perturbation in all other directions, there exists instability for a certain wave number range. The 'effective interfacial tension' is able to suppress this Kelvin-Helmholtz instability for small wavelength perturbations, the medium porosity reduces the stability range given in terms of a difference in streaming velocities.