Numerical solution of forced convective flow of bio-nanofluid along a wedge with stefan blowing and multiple slips effects

Abstract

In this study, the numerical solutionsof a wedge flow of bio-nanofluid with Stefan blowing and different slip effects at the boundarywere investigated. The governing equations were formed by using a system of partial differential equations and appropriate boundary conditions. Then those equations were transformed to governing ordinary differential equations using suitable similarity variables. The ordinary differential equations were solved numerically with the help of numerical differential equations solver package named “NDSolve” in Mathematica. Then those solutions wereplotted with the variation of the different parameter and different slip phenomena. Theinfluences of the Stefan blowing, the velocity, thermal, the concentration and microorganism slips, the magnetic number, the Lewis number,the bioconvection Lewis number, the wedge parameter, the bioconvection Péclet number,thermophoresis and Brownian motion on the dimensionlessvelocity, temperature, nanoparticle volume fraction, microorganisms concentration, the local skin friction coefficient, the local Nusselt number and thelocal Sherwood number and local density number of the motile microorganismswereanalyzed and discussed.Tabular solutions were included for numerical values of the skin friction coefficients, local heat transfer rate, local mass transfer rate and the microorganisms transfer rate at the wall. Numerical solutions were compared with the published results and found an excellent agreement.