Numerical study of motile microorganism in Williamson MHD nanofluid flow over an elastic slender surface of an irregular thickness

Abstract

The energy transmission through bioconvective MHD Williamson nanofluid (NF) flow has been numerically computed over a slender stretching surface of irregular thickness in this analysis. The consequences of a uniform magnetic field, heat generation and absorption, chemical reaction, variable thermal conductivity and viscosity depending on temperature have been also considered. The scenario has been represented as a system of PDEs. By using the similarity substitutions, the system of PDEs is simplified to ODEs. The obtained set of first-order differential equations is then evaluated using the numerical methodology parametric continuation method (PCM). The results are compared for consistency and validity purposes with the bvp4c package and existing literature. It has been noticed that the velocity distribution reduces with the variation of magnetic field and buoyancy ratio factor, while boosts with the rising values of velocity power index and mixed convection constraint. Furthermore, the motile microorganism profile enhances with the influence of Rayleigh number, while declines with the action of Lewis number, Peclet number and mixed convection parameters.