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Sharma, Veena
- Thermal Instability of a Viscoelastic Walters'(Model B') Fluid in Hydromagnetics in the Presence of Suspended Particles
Abstract Views :177 |
PDF Views:1
Authors
Affiliations
1 Department of Mathematics, Government College, Joginder Nagar, Distt. Mandi (H.P.), IN
2 Department of Mathematics, H. P. University, Summer Hill, Shimla, IN
1 Department of Mathematics, Government College, Joginder Nagar, Distt. Mandi (H.P.), IN
2 Department of Mathematics, H. P. University, Summer Hill, Shimla, IN
Source
International Journal of Technology, Vol 6, No 2 (2016), Pagination: 191-198Abstract
The effect of suspended particles on thermal instability of a viscoelastic Walters' (model B') fluid in the presence of a uniform horizontal magnetic field is considered. The sufficient conditions for non-existence of overstability are found in the presence of horizontal magnetic field. The effect of suspended particles is to postpone the onset of convection. For stationary convection, Walters' (model B') viscoelastic fluid behaves like a Newtonian viscous fluid.Keywords
Walters' (Model B') Fluid, Magnetic Field, Suspended Particles, Viscoelasticity.
- MHD Stability of a Nanofluid Layer Using Darcy Model:Introduction of Oscillatory Motions for Bottom Heavy Configuration
Abstract Views :166 |
PDF Views:0
Authors
Affiliations
1 Energy Research Centre, Panjab University, Chandigarh-160014, IN
2 Dr. S.S. Bhatnagar University Institute of Chemical Engineering and Technology, Panjab University, Chandigarh-160014, IN
3 Department of Mathematics and Statistics, Himachal Pradesh University, Summer Hill, Shimla-171005, IN
1 Energy Research Centre, Panjab University, Chandigarh-160014, IN
2 Dr. S.S. Bhatnagar University Institute of Chemical Engineering and Technology, Panjab University, Chandigarh-160014, IN
3 Department of Mathematics and Statistics, Himachal Pradesh University, Summer Hill, Shimla-171005, IN
Source
International Journal of Technology, Vol 6, No 2 (2016), Pagination: 233-238Abstract
The impact of vertical magnetic field on the thermal instability of a horizontal porous nanofluid layer using Darcy model is considered for free-free boundaries. Brownian motion and thermophoretic forces are introduced due to the presence of nanoparticles and Lorentz's force term is added in the momentum equation along with the Maxwell's equations due to magnetic field. Normal mode technique and single term Galerkin approximation is employed to investigate the instability and derive the eigen value problem. It is found that the mode of instability is through oscillatory motions for bottom heavy suspension of nanoparticles. The reason for the existence of oscillatory motions is due to the occurrence of two opposite buoyancy forces i.e. density variation due to heating and density gradient of nanoparticles at the bottom of the layer. The thermal Rayleigh number increases with the increase of Chandrasekhar number and decreases with the increase of porosity. The effect of Lewis number, modified diffusivity ratio, concentration Rayleigh number and heat capacity ratio on the onset of thermal convection has been investigated analytically and presented graphically.- Effect of Hall Currents on the Stability of Ferromagnetic Fluid Heated from below in the Presence of a Magnetic Field Saturating Porous Media
Abstract Views :162 |
PDF Views:0
Authors
Affiliations
1 Department of Mathematics and Statistics, Himachal Pradesh University, Shimla-5, IN
1 Department of Mathematics and Statistics, Himachal Pradesh University, Shimla-5, IN
Source
International Journal of Technology, Vol 6, No 2 (2016), Pagination: 239-247Abstract
In this study, the effect of Hall currents on the onset of stability of saturating porous media an electrically conducting ferromagnetic fluid heated from below using linear stability analysis is investigated. Using the Darcy law to modify the ferromagnetic fluid the momentum equations for a porous medium. The employed model incorporates the effects of polarization force and body couple. The coupled partial differential equations governing the physical problem are reduced to a set of ordinary differential equations using normal mode technique. These equations are solved analytically for stress-free boundaries and numerical results are computed by obtaining approximate solutions using Galerkin method using the software Mathematica for the case of stationary convection. It is found that the magnetic field and magnetization have a stabilizing effect as such their effect is to postpone the onset of thermal instability; whereas Hall currents are found to hasten the same. The medium permeability prepones the onset of convection under certain conditions implying thereby the destabilizing effect.- Magneto-Thermosolutal Instability in Viscoelastic Nanofluid Layer
Abstract Views :154 |
PDF Views:2
Authors
Affiliations
1 Department of Mathematics and Statistics, Himachal Pradesh University, Shimla-5, IN
2 SDWG Govt. College, Beetan, Distt. Una (H.P.), IN
3 Dr. S. S. Bhatnagar University Institute of Chemical Engneering and Technology, Panjab University, Chandigarh 160014, IN
1 Department of Mathematics and Statistics, Himachal Pradesh University, Shimla-5, IN
2 SDWG Govt. College, Beetan, Distt. Una (H.P.), IN
3 Dr. S. S. Bhatnagar University Institute of Chemical Engneering and Technology, Panjab University, Chandigarh 160014, IN
Source
International Journal of Technology, Vol 6, No 2 (2016), Pagination: 258-264Abstract
Thermosolutal convection in an infinitely, extending layer of viscoelastic nanofluids in the presence of uniform vertical magnetic field with Soret and Dufour effect is investigated. The rheology of nanofluids is described by Maxwell's model. The coupled partial differential equations with the stress free boundaries are solved using the normal mode technique and linear theory. The first approximation of Galerkin procedure is used to obtain the numerical solution of the set of ordinary differential equation by using the software MATHEMATICA. The effects of the various parameters are shown graphically on both the stationary and oscillatory motions.- Effect of Surface Tension on the Kelvin-Helmholtz Instability of Superposed Viscous Fluids in Hydromagnetics Saturating Porous Medium
Abstract Views :222 |
PDF Views:0
Authors
Affiliations
1 Department of Mathematics and Statistics, Himachal Pradesh University, Summer Hill, Shimla -171 005, IN
2 Department of Mathematics, Government Collage, Ghumarwin, District Bilaspur, IN
3 Bahra University Waknaghat Solan, IN
1 Department of Mathematics and Statistics, Himachal Pradesh University, Summer Hill, Shimla -171 005, IN
2 Department of Mathematics, Government Collage, Ghumarwin, District Bilaspur, IN
3 Bahra University Waknaghat Solan, IN
Source
International Journal of Technology, Vol 4, No 1 (2014), Pagination: 1-6Abstract
This paper deals with the instability of viscous superposed, fluids saturating porous medium in the presence of horizontal magnetic field and to include the effect of surface tension. Using linear theory and normal mode technique the dispersion relation so obtained is analyzed mathematically for the stable configuration. The effects of medium porosity, surface tension and magnetic field, on the growth rate (imaginary) of the most unstable mode have been investigated numerically. The square of the Alfven velocity accounting for magnetic field and surface tension have stabilizing effect on the system and medium porosity has destabilizing effect on the system. All these numerical results have been depicted graphically. The results show that the magnetic field and surface tension bring about more stability for a certain wave number band on the growth rate of unstable configuration.