Influence of Thermal Radiation on MHD Fluid Flow over a Sphere

The current perusal investigation was carried out for the result of a chemical reaction and Schmidt number on magnetohydrodynamic fluid flow towards a Sphere with Rosseland approximation. The Roseland estimate is utilized to portray the radiative heat transition in the energy condition. The crucial equations of continuity, thermal and solutal boundary layers are reassembled into sets of nonlinear models. The highly nonlinear partial differential models are converted into a nonlinear ordinary differential structure through the proper dimensionless quantities. The numerical arrangements of standard differential structures have been procured by applying the fourth-order Runge-Kutta-Fehlberg strategy with shooting technique through MATHEMATICA software. The quantities of physical interest are graphically presented and discussed in detail. Correlation with past writing results is additionally done and is discovered to be excellent concurrence with those distributed before.

Hydromagnetic flow of a Carreau fluid in a curved channel with non-linear thermal radiation

The study depicts the variations in the hydromagnetics flow of a Careau fluid in a semi permeable curved channel with convective boundary condition. Furthermore, Rosseland approximation is also considered to analyze the non-linear thermal radiation effects. Curvilinear co-ordinates system has been adopted for the mathematical modeling of the flow equations. The attained set of governing equation are then converted into non-linear dimensionless differential equations, by making use of similarity variables which are later treated by shooting method. In addition, the Newton?s Raphson method is also incepted to improve the accuracy of the obtained numerical result. The velocity field and temperature distributions are affected by various involved parameter which are presented in graphs and in table form. It is noticed that the velocity profiles are influenced by the change in the Weissenberg number.