Magnetic Field In Porous Medium Research Articles

Computational Results With Non-singular and Non-local Kernel Flow of Viscous Fluid in Vertical Permeable Medium With Variant Temperature

Unsteady electrically conducting viscous fluid flow with transversal magnetic field in porous medium over vertical wall with ramped temperature has studied with Atangana-Baleanu derivative. Conjugate impact of heat and mass transfer with slip and non-slip effect are considerable. Solutions of governing equations for temperature gradient, concentration gradient and velocity profile are obtained with Laplace transformation. Inversion calculation of Laplace transformation have been computed with Stehfest’s algorithm. Computational results have been expressed graphically with the effect of various flow physical parameters. Comparative graphical analysis with existing literature as well as Atangana-Baleanu derivative for temperature, concentration and velocity field with slip and non-slip impact shows that the memory effects of Atangana-Baleanu derivative are better than the results existing in literature.

Mass Transfer Effects on MHD Flow through Porous Medium past an Exponentially Accelerated Inclined Plate with Variable Temperature and Thermal Radiation

The current paper focuses on unsteady MHD free convection flow with mass and heat transfer past an inclined plate. The inclined plate moves with exponential acceleration and is placed in a saturated porous medium having a uniform permeability but a varying concentration and temperature. The important essence of the study is to analyze the angle of inclination on the flow phenomenon with a heat source or sink alongside a destructive reaction. The governing equations are solved with the help of Galerkin Finite Element Method. A detailed discussion on the effects of pertinent material parameters, magnetic field, and permeability of the porous medium is presented. This reveals the flow reversal with an active magnetic field in porous medium. A retarding velocity is observed with angle of inclination and heat source. Applications of the present study include understanding of drag experienced at the heated/cooled inclined surfaces in a seepage flow.

TRIPLE-DIFFUSIVE CONVECTION IN WALTERS’ (MODEL B’) FLUID WITH VARYING GRAVITY FIELD SATURATING A POROUS MEDIUM

Abstract The Triple-Diffusive convection in Walters’ (Model B') fluid with varying gravity field is considered in the presence of uniform vertical magnetic field in porous medium. For the case of stationary convection, the magnetic field, varying gravity field and the stable solute gradients have stabilizing effects whereas the medium permeability has destabilizing (or stabilizing) effect on the system under certain conditions. A linear stability analysis theory and normal mode analysis method have been carried out to study the onset convection. The kinematic viscoelasticity has no effect on the stationary convection. The solute gradients, magnetic field, varying gravity field, porosity and kinematic viscoelasticity introduce oscillatory modes in the system, which were non-existent in their absence. The sufficient conditions for the non-existence of overstability are also obtained. The results are also shown graphically.

Hydromagnetic thermosolutal instability of compressible walters' (model B') rotating fluid permeated with suspended particles in porous medium

The thermosolutal instability of compressible Walters' (model B') elastico-viscous rotating fluid permeated with suspended particles (fine dust) in the presence of vertical magnetic field in porous medium is considered. By applying normal mode analysis method, the dispersion relation has been derived and solved analytically. It is observed that the rotation, magnetic field, suspended particles and viscoelasticity introduce oscillatory modes. For stationary convection the Walters' (model B') fluid behaves like an ordinary Newtonian fluid and it is observed that the rotation and stable solute gradient has stabilizing effects and suspended particles are found to have destabilizing effect on the system, whereas the medium permeability has stabilizing or destabilizing effect on the system under certain conditions. The magnetic field has destabilizing effect in the absence of rotation, whereas in the presence of rotation, magnetic field has stabilizing or destabilizing effect under certain conditions.

Rayleigh–Taylor Instability of Rotating Oldroydian Viscoelastic Fluids in Porous Medium in Presence of a Variable Magnetic Field

The instability of the plane interface between two oldroydian viscoelastic superposed fluids in the presence of uniform rotation and variable magnetic field in porous medium is considered. For potentially stable configuration, the system is found to be stable for disturbances of all wave numbers. The magnetic field succeeds in stabilizing certain wave-number range, which were unstable in the absence of magnetic field and rotation for the potentially unstable configuration. Sub cases of magnetic free and rotation free configurations are also considered, separately.

Effect of variable gravitational field on thermal instability of a rotating fluid layer with magnetic field in porous medium

The effect of variable gravitational field on thermal instability of a rotating fluid layer in the presence of magnetic field in porous medium is investigated. It is found that the system is stable when gravity is decreasing upwards. The principle of exchange of stability is valid in the absence of rotation and magnetic field when gravity increases upwards. In the stationary convection, rotation has stabilizing or destabilizing effect depending upon whether gravity is increasing or decreasing upwards. The medium permeability and magnetic field have stabilizing or destabilizing effect depending upon condition.

On micropolar fluids heated from below in hydromagnetics in porous medium

The thermal instability of electrically conducting micropolar fluids heated from below in the presence of uniform vertical magnetic field in porous medium has been considered. It is found that the presence of coupling between thermal and micropolar effects, magnetic field and permeability may introduce oscillatory motions in the system. The increase in Rayleigh number for stationary convection and decrease in Rayleigh number for overstability with the increase in magnetic field is depicted graphically. Also the Rayleigh number is found to decrease with the increase in permeability.

Instability of Two Maxwellian Viscoelastic Superposed Fluids with Suspended Particles and Variable Magnetic Field in Porous Medium

Abstract Instability of the plane interface between two viscoelastic (Maxwellian) superposed conducting fluids in the presence of suspended particles and variable horizontal magnetic field in porous medium is studied. The cases of two fluids of uniform densities, viscosities, magnetic fields, and suspended particles number densities separated by a horizontal boundary; and of exponentially varying density, viscosity, suspended particles number density, and magnetic field are considered. It is found that the stability criterion is independent of the effects of viscoelasticity, medium porosity, and suspended particles but is dependent on the orientation and magnitude of the magnetic field. The magnetic field succeeds in stabilizing a certain range of wavenumbers which were unstable in the absence of the magnetic field. The system is found to be stable for potentially stable configuration/stratifications. The growth rates are found to increase (for certain wavenumbers) and decrease (for other wavenumbers) wit...

Rayleigh-Taylor Instability of a Partially Ionized Rotating Plasma in the Presence of a Variable Horizontal Magnetic Field in Porous Medium

Abstract The Rayleigh-Taylor instability of a partially ionized plasma in a porous medium is considered in the presence of a variable horizontal magnetic field and uniform vertical rotation. The case of exponentially varying density, viscosity, magnetic field, and neutral particle number density is considered. In this case, the magnetic field succeeds in stabilizing waves in a certain wavenumber range which were unstable in the absence of magnetic field, whereas the system is found to be stable for potentially stable configuration/stable stratifications. The medium permeability and rotation do not have any qualitative effect on the nature of the stability or instability.