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Mixed convection flow in a porous channel under the effects of exothermic chemical reactions and local thermal non-equilibrium

Berghian-Grosan Camelia, Pop Rares Serban, Grosan Teodor Silviu

Archives of Thermodynamics

2024

Vol. 45, no. 4

237--242

The effect of a first-order exothermic chemical reaction on the mixed flow in a vertical channel filled with a porous medium has been studied using the local thermal non-equilibrium model. A mathematical model including the exponential term for heat generation in the fluid phase and interphase heat transfer terms in both the fluid and solid phases was considered. The above dimensionless model has been solved numerically using the Matlab routine bvp4c for the energy equations together with an in-house developed code for the momentum equation. The existence of dual solutions is reported for certain values of the Frank-Kamenetskii number. The obtained profiles of temperature and velocity have been plotted. In addition, the ranges of existence of the dual solutions are reported.