Bioconvective MHD flow of Williamson nanofluid past an expandable Riga wedge in the presence of activation energy, mass suction and velocity slip
Rajib Kumar Mandal, Hiranmoy Maiti, Samir Kumar Nandy
Abstract
The aim of this work is to investigate MHD bioconvectional unsteady Williamson nanofluid flow across an expandable Riga wedge near a stagnation point containing activation energy, motile microorganisms and velocity slip. Using similarity transformations, the PDEs are converted to ODEs, which have a similarity solution. To find approximate solutions to the ODEs, the RK-4 procedure with shooting technique is used. The velocity is increased by increasing the magnetic field parameter, wedge angle parameter, and modified Hartmann number. The heat transfer rate is improved by increasing the magnetic field parameter, Prandtl number, Biot number, and heat source parameter. Increasing the magnetic field parameter from 0 to 1 increases the velocity by 13.77%, the skin friction factor by 36.27%, the Nusselt number by 0.22%, the Sherwood number by 3.10%, and the motile density factor by 5.31%. Decreasing the heat source parameter from 1.0 to 0.0 increases the temperature by 16.78%.