Computational analysis of MHD Cross nanofluid containing gyrotactic microorganisms over a permeable horizontal cylinder through a porous medium in presence of thermal radiation and chemical reaction

Abstract

In the current work, mathematical analysis of bioconvective heat and mass transfer in generalized fluid containing nanoparticles and motile gyrostatic microorganisms over a permeable horizontal cylinder embedded in a porous medium is investigated in the existence of chemical reaction, thermophoresis, and Brownian motion. Moreover, the influence of thermal radiation and magnetic field is considered. The temperature, concentration of nanoparticles, and density of microorganisms at the cylinder surface are considered nonlinear variations. The governing equations are transformed into nondimensional forms containing a set of bio-convection parameters. The transformed equations are solved numerically by a computational method composed of the finite difference technique and Newton’s linearization scheme. The computational results are validated by comparisons of some special cases of the present work with previously reported results in the literature, and an excellent agreement is obtained. The impact of included parameters is discussed and performed in graphs and tabular forms. The present study revealed that the increment in the Brownian motion leads to accelerating the velocity but reducing the temperature and the concentrations of nanoparticles and microorganisms. On the contrary, the thermophoresis force and magnetic field have the opposite effect of Brownian motion. Moreover, the rise in thermal radiation increases in velocity and temperature distributions but the opposite result occurs for nanoparticles and microorganisms concentrations. It is noticed that many important phenomena can be determined by the parameters included in the current study; therefore it has significant applications in various fields such as polymerization, petroleum industries, biotechnology, and biomedicine as in medical imaging and medicinal therapy.