Jñānābha‎, Vol. 50 (2) (2020), (229-235)

NUMERICAL STUDY OF MHD BOUNDARY LAYER FLOW OF WILLIAMSON FLUID WITH VARIABLE FLUID PROPERTIES

 

By

Praveen Kumar

Department of Mathematics, University of Rajasthan, Jaipur-302004, India

Email: praveenydvuor79@gmail.com

R. S. Yadav

Department of Mathematics, University of Rajasthan, Jaipur-302004, India

Corresponding Author- R. S. Yadav

Email: rajendrauor@gmail.com

(Received : September 16, 2020 ; Revised: September 24, 2020)

 

 

This numerical study investigates the MHD boundary layer flow and heat transfer of the Williamson fluid over a permeable nonlinearly stretching sheet. The partial differential equations corresponding to the momentum and energy are converted into ordinary differential equations with the help of similarity transformations. The numerical solution is computed by Runge-Kutta fourth order method with shooting technique. The effects of various parameters such as viscosity variation parameter, thermal conductivity variation parameter, magnetic field parameter, suction parameter, Williamson fluid parameter, radiation parameter and Eckert number on velocity and temperature profiles are discussed through graphs.

 

2010 Mathematics Subject Classifications: 76D05, 76D10, 76W05, 80A05.

Keywords and phrases: Williamson fluid, MHD, Viscous dissipation, Thermal radiation, Non-linearly permeable stretching sheet.