AN INVESTIGATION OF HEAT FLOW IN HYDROMAGNETIC EYRING-POWELL FLUID IN THE PRESENCE OF CATTAEO-CHRISTOV HEAT FLUX

Document Type : Research Article

Authors

1 Federal University of Agriculture, Abeokuta, Nigeria

2 Federal University of Agriculture, Abeokuta

Abstract

This paper examines the flow and heat transfer characteristics of an Eyring-Powell fluid passing over a stretched sheet surface that is being heated by hot fluid from beneath. The thermal mechanism of the model is analyzed on the considerations that the thermal conductivity is a linear function of temperature, the fluid viscosity obeys the Reynolds model and that the Cattaneo–Christov heat flux model is incorporated into the energy equation. The governing nonlinear partial differential equations were transformed into a system of nonlinear ordinary differential equations using suitable similarity variables. The resulting self-similar problems were then solved using the spectral quasi-linearization method (SQLM). The effectiveness and accuracy of this method were demonstrated through comparative studies with relevant existing results. Graphical outcomes illustrating the impact of pertinent fluid parameters in the model equations are presented as velocity and temperature profiles. It is noteworthy that both fluid temperature and velocity decline when the thermal relaxation parameter and slip velocity parameter are increased. The results also reveal that the fluid variables such as the thermal relaxation time parameter , Eyring-Powell parameter , slip velocity parameter , surface-convection parameter , or radiation parameter boost the rate of heat transfer when any of these parameters is increased.

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