Author(s)

Shyam Lal Yadav, Ashok Kumar Singh

Department of Mathematics, Institute of Science, Banaras Hindu University, Varanasi, India.

In this paper, we have considered a fully developed flow of a viscous incompressible fluid in a rectangular porous duct saturated with the same fluid. The duct is heated from the bottom for forced and mixed convection. The Brinkman model is used to simulate the momentum transfer in the porous duct. Using the momentum and thermal energy equations, the entropy generation has been obtained due to the heat transfer, viscous and Darcy dissipations. It is found from the mathematical analysis that the entropy generation is double when the viscous as well as the Darcy dissipations terms are taken in the thermal energy equation in comparison when the viscous as well as the Darcy dissipations terms are not taken in the thermal energy equation. This result clearly shows that there is no need of taking the viscous and Darcy dissipations terms in the thermal energy equation to obtain the entropy generation.

Brinkman Model, Heat Flux, Fully Developed Flow, Viscosity Ratio, Entropy Generation

Lal Yadav, S. and Singh, A. (2016) Analysis of Entropy Generation in a Rectangular Porous Duct. Journal of Applied Mathematics and Physics, 4, 1336-1343. doi: 10.4236/jamp.2016.47143.