The assessment of time dependent flow of Williamson fluid with radiative blood flow against a wedge

K. Subbarayudu ^a, S. Suneetha ^a, P. Bala Anki Reddy ^b,*

a. Department of Applied Mathematics, Yogi Vemana University, Kadapa, 516005, India    
         b. Department of Mathematics, S.A.S., Vellore Institute of Technology, Vellore, 632014, India

Abstract: The present pagination reports both Brownian diffusion and thermophoresis aspects subject to magneto hydrodynamic Williamson fluid model. Assuming the flow is unsteady and blood is treated as Williamson fluid over a wedge with radiation.  The governing equations are transformed into ordinary differential equations by using similarity variables.  The analytical solutions of the transformed governing equations are obtained by using the RK 4th order method along with shooting technique solver. The effects of various physical parameters such as Hartmann number, local Weissenberg number, radiation parameter, unsteadiness parameter, Prandtl number, Lewis number, Brownian diffusion, thermophoresis, wedge angle parameter, moving wedge parameter, on velocity, temperature, concentration, skin friction, heat transfer rate and mass transfer rate have been discussed in detail. The velocity and temperature profile deprives for larger We and an opposite trend is observed for concentration. The radiation parameter is propositional to temperature and a counter behaviour is observed for Pr.

Keywords: Williamson fluid model; Wedge shape geometry; Magnetohydrodynamic (MHD); Thermal radiation; Blood flow