Abstract
The paper provides a numerical investigation of the entropy generation analysis due to mixed convection with viscous dissipation effect of a laminar viscous and incompressible fluid, flowing in an inclined channel filled with a saturated porous medium. The Darcy–Brinkman model is employed. The Navier–Stokes and energy equations are solved by classic Boussinesq incompressible approximation. A special attention is given to the study of the influence of the channel inclination angle on the transient and the steady-state entropy generation. The fluctuations of the transient total entropy generation are investigated when the inclination angle is varied from \(0^{\circ }\) to \(180^{\circ }\). Moreover, the entropy generation and the Bejan number were studied as a function of the inclination angle of the channel, in the steady state of mixed convection. It was found that the total entropy generation is maximum at inclination angle close to \(70^{\circ }\) and minimum at \(0^{\circ }\) and \(180^{\circ }\).
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