Thermosolutal Convection in a Couple-Stress Fluid in Uniform Vertical Magnetic Field

Singh, Mahipal; Kumar, Pardeep

doi:10.5560/zna.2012-0020

Cited by 4 publications

(3 citation statements)

References 11 publications

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“…In one another study Singh et al [15] found that stable solute gradient, magnetic filed, couple-stress parameter have postpones the onset of convection where as rotation hastens the onset of convection. Also Singh and Kumar [16], in one another study found that stable solute gradient, magnetic filed and couple-stress parameter have stabilizing effect on the system. Keeping in mind the importance of non-Newtonian fluids and convection in fluid heated from below, the present paper is devoted to study the compressible couple-stress fluid heated from below in presence of rotation and magnetic field.…”

Section: Introductionmentioning

confidence: 92%

Compressible Analysis of Bénard Convection of Magneto Rotatory Couple-Stress Fluid

Mehta¹,

Singh²

2018

International Journal of Applied Mechanics and Engineering

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Thermal Instability (Benard’s Convection) in the presence of uniform rotation and uniform magnetic field (separately) is studied. Using the linearized stability theory and normal mode analyses the dispersion relation is obtained in each case. In the case of rotatory Benard’s stationary convection compressibility and rotation postpone the onset of convection whereas the couple-stress have duel character onset of convection depending on rotation parameter. While in the absence of rotation couple-stress always postpones the onset of convection. On the other hand, magnetic field on thermal instability problem on couple-stress fluid for stationary convection couple-stress parameter and magnetic field postpones the onset of convection. The effect of compressibility also postpones the onset of convection in both cases as rotation and magnetic field. Graphs have been plotted by giving numerical values to the parameters to depict the stationary characteristics. Further, the magnetic field and rotation are found to introduce oscillatory modes which were non-existent in their absence and then the principle of exchange of stability is valid. The sufficient conditions for non-existence of overstability are also obtained.

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Section: Introductionmentioning

confidence: 92%

Compressible Analysis of Bénard Convection of Magneto Rotatory Couple-Stress Fluid

Mehta¹,

Singh²

2018

International Journal of Applied Mechanics and Engineering

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“…In another study, Malashetty et al [9,10] analyzed the double-diffusive instability of a couplestress fluid saturated a porous layer. Singh and Kumar [11,12] studied rotatory thermosolutal convection in a couple -stress fluid and magneto-thermosolutal convection in a compressible couple-stress fluid. Singh and Kumar [13] studied magneto and rotatory thermosolutal convection through a porous medium.…”

Section: Introductionmentioning

confidence: 99%

Double-Diffusive Convection of Synovial (Couple-Stress) Fluid in the Presence of Hall Current Through a Porous Medium

Singh

2018

International Journal of Applied Mechanics and Engineering

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An investigation made on the effect of Hall currents on double-diffusive convection of a compressible synovial (couple-stress) fluid in the presence of a horizontal magnetic field through a porous layer is considered. The analysis is carried out within the framework of linear stability theory and normal mode technique. A dispersion relation governing the effects of viscoelasticity, compressibility, magnetic field and porous layer is derived. For the stationary convection, a synovial fluid behaves like an ordinary Newtonian fluid due to the vanishing of the viscoelastic parameter. The stable-solute gradient, compressibility, and magnetic field have postponed the onset of convection, whereas Hall currents and medium permeability have not postponed the onset of convection, moreover, a synovial fluid has a dual character in the presence of Hall currents, whereas in the absence of Hall current in synovial fluid have postponed the onset of convection, which is in contrast in case of thermal convection couple-stress fluid with same effects. These analytic results are confirmed numerically and the effects of various parameters are depicted graphically. It has been observed that oscillatory modes are introduced due to the presence of viscoelasticity, magnetic field, porous medium and Hall currents which were non- existent in their absence. The sufficient conditions for the non-existence of overstability are also obtained.

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“…Singh and Kumar [14] studied magneto and rotatory thermosolutal convection in a couple-stress fluid saturated porous layer in case of an incompressible fluid and in another study Singh and Mehta [15] studied in case of compressible fluids observed that couple-stress fluids have a dual character while the magnetic field has a stabilizing effect on the system. Singh and Kumar [16] studied thermosolutal convection in a couple-stress fluid in uniform vertical magnetic field and observed that the couple-stress parameter has a stabilizing effect on the system. Krishna and Neeraja [17] studied Hall effects on an MHD flow of a couple-stress fluid in a parallel plate channel bounded by a porous bed on the lower half in the presence of an inclined magnetic field.…”

Section: Introductionmentioning

confidence: 99%

Thermal convection of magneto compressible couple-stress fluid saturated in a porous medium with Hall current

Mehta¹,

Singh²,

Kumar³

2016

International Journal of Applied Mechanics and Engineering

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An investigation is made on the effect of Hall currents on thermal instability of a compressible couple-stress fluid in the presence of a horizontal magnetic field saturated in a porous medium. The analysis is carried out within the framework of the linear stability theory and normal mode technique. A dispersion relation governing the effects of viscoelasticity, Hall currents, compressibility, magnetic field and porous medium is derived. For the stationary convection a couple-stress fluid behaves like an ordinary Newtonian fluid due to the vanishing of the viscoelastic parameter. Compressibility, the magnetic filed and couple-stress parameter have stabilizing effects on the system whereas Hall currents and medium permeability have a destabilizing effect on the system, but in the absence of Hall current couple-stress has a destabilizing effect on the system. It has been observed that oscillatory modes are introduced due to the presence of viscoelasticity, magnetic field porous medium and Hall currents which were non-existent in their absence.

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Thermosolutal Convection in a Couple-Stress Fluid in Uniform Vertical Magnetic Field

Cited by 4 publications

References 11 publications

Compressible Analysis of Bénard Convection of Magneto Rotatory Couple-Stress Fluid

Compressible Analysis of Bénard Convection of Magneto Rotatory Couple-Stress Fluid

Double-Diffusive Convection of Synovial (Couple-Stress) Fluid in the Presence of Hall Current Through a Porous Medium

Thermal convection of magneto compressible couple-stress fluid saturated in a porous medium with Hall current

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