Homotopy analysis on the bio-inspired radiative magnesium and iron oxides/blood nanofluid flow over an exponential stretching sheet

This study aims to provide the numerical analysis for a two-dimensional, incompressible Casson hybrid nanofluid (NF) motion due to an exponentially extending sheet subject to an electromagnetic field. The topic of fluid flow on exponentially stretched surfaces has piqued the interest of investigators in view of the wide range of industrial and technological applications. The goal of this research is to investigate the combined influences of Lorentz and electric forces, and thermal radiation on the Casson hybrid NF derived from a vertically exponentially expanding sheet. The Rosseland's model of radiative diffusion flux has been also considered into account. The Poisson-Boltzmann equation is linearized using the Debye-Huckel method, and the effect of an axial electric field is considered. By using the similarity transformations, the governing equations are converted into a set of nonlinear ordinary differential equations. The homotopy analysis technique has been utilized to solve the system of differential equations. It is concluded from the current analysis that the velocity is an increasing function of mixed convection parameter, bioconvection Rayleigh number, and Helmholtz-Smoluchowski velocity parameter. The Brownian motion, thermophoresis, radiation, and nanoparticle volume fractions enhance the temperature profile. The nanoparticle microorganism is a decreasing function of bioconvection Lewis number and microorganism material parameter.

Automated summary

This study focuses on the numerical analysis of a two-dimensional, incompressible Casson hybrid nanofluid flowing on an exponentially stretching surface under the influence of an electromagnetic field. The topic of fluid flow on exponentially stretched surfaces has attracted attention due to its wide range of industrial and technological applications. The study aims to investigate the combined effects of Lorentz and electric forces, as well as thermal radiation, on the Casson hybrid nanofluid derived from a vertically exponentially expanding sheet. The analysis considers the Rosseland's model of radiative diffusion flux and linearizes the Poisson-Boltzmann equation using the Debye-Huckel method.