Numerical study for bio-convection effects on MHD nano-fluid flow past a porous and extending wedge

Bagh Ali ^a, Muhammad Ilyas ^b, Imran Siddique ^c, Huizhu Yang ^a,*, Muhammad Kamran Ashraf ^b, Sohaib Abdal ^d

a. School of Mechanical Engineering and Automation, Harbin Institute of Technology, Shenzhen 518055, China
         b. Department of Mathematics, National College of Business Administration & Economics, Lahore 54660 Pakistan
         c. Department of Mathematics, University of Management and Technology, Lahore 54770, Pakistan
         d. School of Mathematics, Northwest University, Xian 710127, China

Abstract: We explored the insinuations of bio-convection and thermal radiation on nanofluid transportation across stretching permeable wedge with magnetic force. Appropriate similarity transformation variables are utilized to achieve ordinary differential equations. In order to tackle the non-linearity of these equations, numerical procedure based on shooting technique and Range Kutta method are harnessed on MATLAB platform. Computational and devour is carried out to evaluate the influence of controlling limitations on temperature, velocity, concentration of nanofluids and micro-organisms density. The growing strength of thermophoresis and Brownian motion enhance the fluid temperature. The profile volume fraction show decline against higher values of parameters which are Lewis number, unsteadiness and Brownian motion but opposite trend noted against higher value of Williamson and thermophoresis parameters. The skin friction values rise with the growing values of parameter of wedge angle for the moving wedge. The motile organism profile exhibits decrease against growing strength of Peclet number, bioconvection Lewis number, temperature difference and unsteady parameters while opposite behavior has been noted against wedge angle parameter.

Keywords: MHD; Nanofluid; Bioconvection; Porous stretching wedge; Range Kutta method

https://doi.org/10.1016/j.jppr.2023.11.002