Rotating MHD flow of second grade fluid through porous medium between two vertical plates with chemical reaction, radiation absorption, Hall, and ion slip impacts

The present investigation explores the transient magnetohydrodynamics gravity‐driven flow of a viscous, incompressible, electrically conducting fluid past a permeable exponentially accelerated vertical plate in the presence of thermal radiation and suction. Due to several applications in different areas, the influence of Hall current, Dufour number, heat source parameter, and chemically reactive species diffusion are vital and are incorporated in the study, which is the novelty of the present work. The model equations are derived and resolved by utilizing an analytical technique called the Laplace transform procedure. Various properties of the flow due to the influence of different vital parameters have been depicted with the help of graphs. The computed gradients of velocity, temperature and concentration are presented in tabular form. The Hall parameter is observed to strengthen the secondary flow while diminishing the primary flow. Dufour number and heat source parameter enhance the fluid temperature and velocity profiles while the heat sink declines them. Enhancement of the acceleration parameter significantly amplifies the primary skin friction coefficient. Suction boosts the heat transport as well as the mass transport rates at the surface of the plate, whereas injection declines them. Further, the Dufour number causes a significant reduction in the Nusselt number and magnitude of the secondary skin friction coefficient. The practical applications of the current research are the design of aircraft, cooling of microchips, Hall accelerators, separation of isotopes and many more.

Section: Introductionmentioning

confidence: 99%

mentioning

confidence: 99%

Hall current and Dufour effect on the flow of a viscous fluid in the presence of suction, chemical reaction, and heat source: Laplace transform procedure

Rath,

Nayak

2024

“…The unsteady MHD convective flow of an incompressible viscous electrically conducting Rivlin–Ericksen fluid over a semi‐infinite vertical permeable moving plate taking heat absorption and Hall effects into account has been discussed by Krishna and Vajravelu 26 . Krishna and Vajravelu 27 explored the hydromagnetic liberated convective along with the oscillating flow of an optically thinner second‐grade fluid delimited during two parallel absorbent walls. The combined effects of Hall and ion slip on the MHD rotating flow of ciliary propulsion of microscopic organism through porous medium have been studied by Krishna et al 28 Krishna and Chamkha 29 investigated the Hall and ion‐slip effects on the MHD convective flow of elasticoviscous fluid through porous medium between two rigidly rotating parallel plates with time fluctuating sinusoidal pressure gradient.…”

Section: Introductionmentioning

confidence: 99%

The effects of thermal radiation on unsteady MHD free convective flow through the porous medium between two vertical plates with Hall effects

Nagaraju

Kishan

2023

The effects of thermal radiation and Hall current on magnetohydrodynamic free convection three‐dimensional flow in a vertical channel filled with a porous medium have been studied. We consider an incompressible viscous and electrically conducting incompressible viscous fluid in a parallel plate channel bounded by a loosely packed porous medium. The fluid is driven by a uniform pressure gradient parallel to the channel plates, and the entire flow field is subjected to a uniform inclined magnetic field of strength inclined at an angle of inclination α $\alpha $ with the normal to the boundaries in the transverse xy‐plane. The temperature of one of the plates varies periodically, and the temperature difference between the plates is high enough to induce radiative heat transfer. The effects of various parameters on the velocity profiles, the skin friction, the temperature field, and the rate of heat transfer in terms of their amplitude and phase angles are shown graphically.

“…Nakamura and Sawada 26 discussed a numerical study on the flows of non‐Newtonian liquids during axisymmetric stenosis. Hall and ion slip impacts on MHD liberated convective revolving flow of Jefferys fluid with ramped walls temperatures have been explored by Krishna et al 27 Krishna and Vajravelu 28 explored the MHD free convection and oscillating flows of second graded fluids during two corresponding porous walls. Krishna and Chamkha 29 investigated the diffusion‐thermo, radiation‐absorption, and Hall and ion slip effects on MHD free convective rotating flow of nano‐fluids past a semi‐infinite permeable moving plate with a constant heat source.…”

Section: Introductionmentioning

confidence: 99%

Hall effects on magnetohydrodynamic rotating flow through porous medium in a parallel plate channel with various oscillations of pressure gradient

Krishna

2022

Self Cite

We explored the unsteady flow of an incompressible electrically conducting viscous fluid in a gyratory porous medium with a changeable pressure gradient by taking Hall currents into account. The governing equations are then solved analytically with the help of the Laplace transforms methodology. It is regarded as three dissimilar cases, namely, an impulsive change, cosine as well as sine oscillations of the pressure gradient. The physical significances of different dimensionless parameters on velocity distributions are explored analytically and computationally. It is observed that a thin boundary layer is formed near the plate of the channel and the thicknesses of the layer increase with the increase in either the Hall parameter or Reynolds number while it decreases with an increase in Hartmann number. It is interesting to note that the rotation and Lorentz forces are having noteworthy effects on velocity profiles with pressure gradient and Hall currents.