Finite element solution of thermal radiation effect on unsteady MHD flow past a vertical porous plate with variable suction, �This paper has been withdrawn�

Abstract

This paper has been withdrawn.

Transient MHD Natural Convective Flow Past a Heated Vertical Non-porous Surface with Thermal Radiation and Double-Diffusion Effects

“…13 depicts that the rate of mass transfer increases as the Schmidt number increases. These results are similar to those of Gundagani et al [25], Acharya et al [26], Gangadhar and Reddy [37].…”

“…9, respectively, show that the increase in the Prandtl number leads to the increase in the rates of heat and mass transfer. These results are in consonance with Gundagani et al [25], Acharya et al [26], Gangadhar and Reddy [37].…”

“…Narayana et al [24] studied the effects of viscous dissipation and thermal radiation on an unsteady MHD free convective flow over an infinite vertical plate constant suction and heat sink. Gundagani et al [25] examined the thermal radiation effects on unsteady MHD flow past a vertical porous plate with variable suction using finite element method, and noticed that when velocity function is increased by the increase in the radiation parameter and porosity parameter but is decreased by the increase in Hartmann number, Prandtl number and Schmidt number; the temperature function increases with the increase in the radiation parameter, Hartmann number but is decreased with the increase in the Prandtl number; concentration is increased by the increase in the Schmidt number. Acharya et al [26] studied the transient free convective MHD flow of a viscous incompressible fluid over hot a porous plate under the attendant effects of heat source, viscous dissipation and variable temperature using the method of regular perturbation, and noticed that porosity has influential effect on the flow and viscous dissipation enhances the heating and cooling of the plate due to convective current.…”

Einstein’s Gravitational Field Equations in integral form via Bianchi Identities

“…Einstein found the Gravitational Field Equations in differential form and these equations are locally expressed at each point in space. Concurrent research avenues explored by the studies which were authored by Murali Etc.al [8]- [25] delved into different forms, providing substantial insight into the nature of the work reported.…”

Magnetic Field Impacts on Nanofluid Flow Towards a Stretching Sheet Embedded in a Porous Medium with Considerations of Variable Viscosity and Convective Boundary Conditions

“…Concurrent research avenues explored by the studies [11][12][13][14][15][16][17][18][19][20][21][22][23] delved into heat and mass transfer effects, providing substantial insight into the nature of the work reported. Additionally, the studies [24][25][26][27][28][29][30], which explored finite element solutions for heat and mass transfer problems and analysed various effects, have been instrumental in shaping understanding and analytical methodologies within the domain.…”