Mixed convective and radiative wavy motion of Williamson fluid in the presence of microorganisms

Abstract

Living microorganisms' existence is a common feature of Newtonian and non-Newtonian radiative materials. The more complex nature of such materials is rigorously determined by including nano-size particles. Considering such particles brought a drastic change in the materials' thermal and other physical properties. Exploration of such behavior occurred in many practical areas, like, engineering, biological and medical, etc. Keeping in view the importance of the wavy dynamics of shear-thinning nonlinear materials, a numerical study is conducted to examine the concept of thermal radiation on higher thermally conductive materials. Furthermore, Biomechanics principles and approximations are used to demonstrate the dynamics of the living microbes is also an integral part of this work. The entire study is further extended to explore the impacts of gravity and surface amplitude. These important aspects are formulated on a gravitationally affected wavy surface and then presented as partial differential equations (PDEs). Similar solutions to the final governing problem are approximated while neglecting the minor non-similar portion of the leading problem. In particular, a built-in modified approximation scheme is applied to demonstrate the boosted conduct of flow speed for different Richardson numbers and Regular double factors. The higher temperature is observed for the maximum radiation factor and a reverse trend is noticed for greater values of the Prandtl number. The larger variation in both the Peclet and Levis numbers led to a reduction in the temperature of the materials. The growing values of the radiation factor and Regular double factors caused to rise the heat transfer rate. The implemented method is then validated through a well-matched comparison by citing the relevant work.