Bioconvectional Non-Newtonian Nanofluid Flow Due to Swimming Micro-Organisms with Hall Current and Ion Slip over Porous Medium-A Statistical Analysis Approach

This article aims to analyze non-Newtonian Casson Williamson fluid with gyrotactic microorganism through porous medium. This study includes the effect of hall current and ion-slip which provide a novel and rigorous analysis via statistical approach. Bioconvectional flow on non-Newtonian fluid which are induced by swimming microorganisms aims to improves the nanofluid stability, microscale mixing and mass transfer. The nonlinear ODE's are obtained after pertaining the similarity transformations. The nonlinear PDE's are simplified by using 5th order Runge-Kutta-Fehlberg scheme via shooting technique. The outcomes of the various parameters due to velocity, temperature, concentration and microorganism density profiles are portrayed in a graphical way. Comparison of Sherwood number is found to be in good agreement. Accordingly, the measures of central tendency are correlated and probable error of skin friction, nusselt number and microorganism density number are tabulated and well explained. Major finding shows the decline profile of momentum boundary layer for Casson and Williamson parameter. Also correlation coefficient between peclet number and microorganisms density number is found to be significant from statistical analysis.