Effect of Thermal Radiation and Variable Thermal Conductivity on Magnetohydrodynamics Squeezed Flow of Carreau Fluid Over a Sensor Surface

The squeezed flow of unsteady MHD Carreau fluid with variable thermal conductivity and thermal radiation over a horizontal sensor surface has been analyzed. The modeled nonlinear partial differential equations are transformed into ordinary differential equations by invoking appropriate similarity transformations. The system of nonlinear ordinary differential equations is solved by the well known shooting technique. Furthermore, to claim the reliability of the MATLAB code, the results of the present study are compared with those of a published article with the conclusion of an excellent agreement. The velocity and temperature profiles under the effects of some pertinent parameters such as the magnetic number, Weissenberg number, power law index, squeezed flow index, thermal radiation parameter and Prandtl number are sketched and examined in detail. Numerical values of the skin friction coefficient and Nusselt number have been numerically computed and discussed. The velocity profile is found to decline for an increment in the permeable velocity, the Weissenberg number and the power law index. The temperature profile reduces for the gradually mounting values of the magnetic number, the Prandtl number, the squeezed flow parameter and the permeable velocity.