Magnetically propelled Carreau fluid flow over penetrable sensor surface influenced by thermal radiation, Joule heating and heat generation

Abstract

Abstract This examination emphasizes the analysis of thermal transmission of Carreau fluid flow on a permeable sensor surface equipped with radiation, Joule heating, an internal heat source, and a magnetic field. With the above effects and assumptions, the equations that administer the flow are formulated. A configured system of equations is productively reduced to a system of ordinary differential equations. The reduced system is then dealt with using the Runge–Kutta-Fehlberg fourth–fifth order tool equipped by the shooting technique. Derived numerical solutions are utilized to plot graphs and tables. The conclusion of the study outlines some important findings such as the power law index, the thermal radiation parameter and the heat source parameter enhance the thermal panel whereas the Weissenberg number deescalates the same. The power law index and permeable velocity decrease the velocity panel significantly. Diagrammatic representation of streamlines of the flow has been given to strengthen the study. A detailed description has been produced about the results obtained in the study.