In this paper Dufour, Radiation absorption, Chemical reaction, and viscous dissipation effects on Unsteady Magneto Hydrodynamic free convective Casson fluid flow through a semiinfinite vertical Oscillatory porous plate of time dependent permeability with Hall and Ion-Slip Current in a Rotating System was investigated. The dimensionless governing equations for this investigation are solved analytically by using multiple regular perturbation law. The effects of different parameters on velocity, temperature and concentration fields are shown graphically. With the aid of these, the expression for the skin friction, Nusselt number and Sherwood number profiles was done with the help of tables. It was found that as the Ion-slip parameter increases the Velocity and temperature profiles decreases but the velocity and temperature decrease with increases in Hall current parameter. Dufour effect and thermal radiation increases it leads to increase in both velocity and temperature. However an increase in both chemical reactions, Schmidt number, leads to decreases in concentration.

In the present study, the influence of Hall and ion-slip current on steady magnetohydrodynamics mixed convective, Ohmic heating, and viscous dissipative Casson fluid flow over an infinite vertical porous plate in the presence of Soret effect and chemical reaction are investigated. The modeling equations are transformed into dimensionless equations and then solved analytically through the multiple regular perturbation law. Computations are performed graphically to analyze the behavior of fluid velocity, temperature, concentration, skin friction, Nusselt number, and Sherwood number on the vertical plate with the difference of emerging physical parameters. This study reflects that the incremental values of Casson fluid parameter and Schmidt number lead to reduction in velocity. However, fluid velocity rises due to enhancement of ion-slip parameter but an opposite effect is observed in case of Hall parameter. In addition, the Sherwood number declines with enhancing dissimilar estimators of the chemical reaction, Schmidt number, as well as Soret number. K E Y W O R D S Casson fluid, Hall and ion-slip current, MHD, multiple regular perturbation law, Ohmic heating

Current examination concern with influence of radiation absorption and viscous dissipation on MHD free convective flow of Casson fluid model past a semi-infinite vertical porous plate. Multiple regular perturbation law was utilized for solving nondimensional governing equations. Computations are performed graphically to scrutinize the deportment of fluid velocity, temperature and concentration. And also skin friction, nusselt number and sherwood number are illustrated in tabular form on the vertical porous plate with the dissimilarity of emerging physical parameters. Finally, conclude that the enhancement of Eckert number leads to rise in velocity, but contrast repercussions were demonstrated in case of temperature. And also sherwood number declined with the rise in chemical reaction as well as schmidt number. However, velocity and temperature were diminishned with amplify of Casson fluid and thermal radiation parameters.

The current examination is concerned with the influence of Dufour and thermal radiation on unsteady MHD Walter's liquid model-B flow past an impulsively started infinite vertical plate embedded in a porous medium with chemical reaction, Hall and ion-slip current. Perturbation scheme was utilized for solving non-dimensional governing equations. Computations are performed graphically to analyze the behaviour of velocity, temperature and concentration along with Skin friction, Nusselt number and Sherwood number are presented in tabular form on the vertical plate with the difference of emerging physical parameters. Finally, it is concluded that primary and secondary velocities are steeply accelerated with the incremental values of Hall and ion-slip parameter, and the same effect occurred in the case of axial and transverse components of the shearing stress. Primary and secondary velocities are enhanced with the ascending values of Dufour number. But contrast repercussions were demonstrated in the case of temperature. However, primary and secondary velocities and concentration decline with the increasing values of chemical reaction parameter but the contradicted outcome is taken place in the case of temperature. Meanwhile, primary velocity, secondary velocity and temperature are fallen with the amplified values of radiation absorption, but the inverse effect occurs in the case of Nusselt number.

The current reconnaissance emphasis on spanwise cosinusoidally fluctuating temperature along with time deepened as well as radiation absorption on unsteady magneto‐hydrodynamics free convective heat and mass transfer boundary layer flow with viscous dissipation, constant suction normal to an infinite hot vertical porous plate in the existence of chemical reaction by means of heat generation. The analytical solution of nonlinear PDE's governing the flow has been accomplished by employing a second‐order multiple regular perturbation method within the stipulated boundary conditions. Velocity, temperature, concentration as well as Sherwood have been exemplified graphically; along with Skin friction, and Nusselt numbers are ascertained in tabular form. Eventually, it was found that velocity, temperature, and Skin friction accelerated with the accumulative values of Eckert number and radiation absorption, but conflicting results emerged in the case of Prandtl number. Contemporaneously Sherwood's number depreciated with the magnification of the chemical reaction parameter as well as the Schmidt number.