Magneto-thermal analysis of the radiative Williamson fluid on a lubricated heated surface with motile micro-organisms and Arrhenius kinetics

Abstract

The rheological behaviour of motile micro-organisms with activation energy within the heat transport phenomena holds significant properties in various areas, including industrial processes, biomedical engineering and environmental science. The present investigation shows the influence of the motile micro-organisms with Arrhenius kinetics on the motion of Williamson fluid over a lubricated surface for the consideration of dissipative heat, thermal radiation and heat generation/absorption. The choice of Williamson fluid is the best approach to accurately depict the non-Newtonian characteristics, which is often used in biological and industrial fields. A suitable similarity approach is useful to transform the governing set of model problems into its non-dimensional form. Further, numerical approaches are utilised to explore the combined influences of the considered factors on the flow phenomena. The validation of the result in special cases is obtained exhibiting a good correlation. However, the important finding are: the velocity bounding surface thickness retards for the interaction of the magnetisation along with the non-Newtonian Weissenberg number and the heat transport phenomena of the fluid enhances significantly with the increasing thermal radiation.