Evolutionary Padé Approximation for Heat and Mass Transfer Analysis of Falkner–Skan Flow of a Bio-Convective Casson Fluid

This study presents numerical work to investigate the Falkner–Skan flow of a bio-convective Casson fluid over wedge using an Evolutionary Padé Approximation (EPA) scheme. The governing partial differential equations and boundary conditions model are transformed system ordinary involving ten dimensionless parameters by similarity transformations. In proposed EPA framework, equivalent constrained optimization problem is formed. solution resulting analogous equations. solutions produced in this work, with respect various combinations physical parameters, found be good agreement those reported previously published literature. effects non-dimensional physical-parameter wedge, fluid, phase effective heat capacity, Brownian motion, thermophoresis, radiation, magnetic field on velocity profile, temperature concentration density motile microorganisms discussed presented graphically. It observed that rises rise viscosity force parameter, increase Prandtl number causes decrease transfer rate. Another significant observation fields greatly increased thermophoresis parameter. An Péclet suppresses microorganism density. Moreover, values local Nusslet number, whereas skin friction when occurs.