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Heat transfer in Darcy-Forchheimer flow of tangent hyperbolic fluid over an inclined plate with Joule heating

Purna Chandar Rao Darapuneni, Thiagarajan Swaminathan, Srinivasa Kumar Vajha

Journal of Applied Mathematics and Computational Mechanics

2021

Vol. 20, nr 3

31--40

Tangent hyperbolic fluid is one of the non-Newtonian fluids in which the constitutive equation is valid for low and high shear rates and used mostly in laboratory experiments and industries. The Darcy-Forchheimer flow model is substantial in the fields where the high flow rate effect is the common phenomenon, for instance, in petroleum engineering. With these things in mind, in this article, we analysed the mixed convective dissipative Darcy-Forchheimer flow of tangent hyperbolic fluid by an inclined plate with Joule heating. Flow administering equations were altered as nonlinear ODEs and then resolved using shooting strategy. Pertinent outcomes are explained through graphs. It is discovered that fluid velocity minifies with the rise in the power law index parameter and Forchheimer number. It is detected that the thermal buoyancy parameter minimizes fluid temperature, and the magnetic field parameter ameliorates the same. What’s more, we noticed that Forchheimer number minimizes the skin friction coefficient, and the heat transfer rate is minified with the larger Eckert number. Furthermore, we have verified our results with former results for the Nusselt number and noticed a satisfactory agreement.