Application of Arrhenius chemical process on unsteady mixed bio-convective flows of third-grade fluids having temperature-dependent in thermo-rheological properties

Abstract

This article presents the unsteady mixed convective flow of third-grade fluid flow comprising nanoparticles and gyrotactic microorganisms past a stretching sheet. The fluid flow is assumed to be laminar and incompressible. The fluid flow is considered to be highly magnetized by applying a strong magnetic field. Newtonian viscous dissipation, chemical reactions, and Arrhenius activation energy are taken into consideration. The transformed system of equations is solved by HAM. Convergence analysis of the HAM is displayed with the help of figures. The relations of physical factors with fluid flow profiles are displayed with the help of figures and tables. It is reported that the greater material and mixed convection factors have escalated the fluid’s velocity. The higher Eckert number and thermal conductivity constant have augmented the thermal function, while the higher Prandtl number has reduced the temperature profile. The greater activation energy factor has augmented the concentration profile, while the augmenting chemical reaction and Schmidt number have reduced the concentration profile. In the streamlines of the steady and unsteady flows, there is also a significant difference in behavior.