The optimum computational simulation of MHD natural convection for improved cooling efficiency and entropy performance inside Ϻ-shaped cabinet

Abstract

The application of natural convection heat transfer within a novel Ϻ-shaped cabinet filled with single-phase pure water/metal foam is investigated numerically. Natural convection is modeled throughout the porous zone using the Local-Thermal-Equilibrium mode and Darcy-Forchheimer-Brinkman law. A novel Ϻ-shaped cabinet with varies Ϻ ratio (0 ≤ Ϻ ≤ 0.8) and temperature difference (10 K ≤ ΔT ≤ 40 K) is applied at a constant porosity of ε = 0.85. Furthermore, the current research is conducted to analyze the response surface methodology (RSM) accompanied by a computational simulation for optimizing the multi-objective function of the M-shaped cabinet in terms of two computed responses: maximizing the Nusselt number ratio (NNR) and minimizing the entropy generation ratio (EGR). The optimization study considers the various pore per inch (10 ≤ PPI ≤ 50), Darcy number (10-9 ≤ Da ≤ 10-1) and uniform magnetic fields (0 ≤ Ha ≤ 100). The results showed that the optimum working conditions consistent with the desired aim are achieved in the maximization of NNR by nearly 20.84 times and the minimization of EGR of 0.895 obtained at Ha = 100, Da = 10-¹ and PPI = 30. Thus, the current investigation is a unique application study of CFD and RSM which provides a helpful reference for the optimum design cooling efficiency and entropy performance of a novel Ϻ-shaped cabinet.

Keywords:

• MHD natural convection augmentation
• multi-objective function
• porous Ϻ-shaped cabinet
• response surface methodology (RSM)

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Disclosure statement

The authors declare that they have no known competing financial interests or personal relationships that could have appeared to influence the work reported in this paper.