Non-linear radiative heat flux of Williamson nanofluid with gyrotactic microorganisms, activation energy and bioconvection

Abstract

Gyrotactic microorganisms and nanoparticles with bioconvection play an important mantle in heat exchanger, biosensors, cooling devices, biotechnology, heating, pharmaceutical, drying food and many more. The main objective and novelty of this study is to compute the numerical solutions for the transient bioconvection flow of non-Newtonian Williamson nanofluid over a permeable contracting/expanding cylinder under the effects of Arrhenius activation energy and gyrotactic microorganisms. Additionally, binary chemical reactions and nonlinear radiation aspects are considered. Furthermore, Buongiorno nanofluid model and revised nanofluid model are utilized to investigate heat and mass transportation. Numerical solutions of highly nonlinear ordinary differential system are developed through RK45 scheme. It is interesting to investigate that motile number is an enhancing function of bioconvection Lewis number but reverse trend is noticed for higher estimation of Peclet number and microorganisms difference parameter in both cases of stretching and shrinking cylinder.