Thermodynamic investigation and multi-objective optimization for jet impingement cooling system with Al2O3/water nanofluid

• Heat transfer and entropy generation of jet impingement cooling system is presented.
• Local and surface averaged Nusselt number along heat sources are analyzed in detail.
• Surrogate models for total entropy generation and overall Nusselt number are derived.
• Multi-Objective Genetic Algorithm is utilized to obtain Pareto optimal solution sets.
• Optimum model for maximum heat transfer and minimum entropy generation is reported.

In the present study, a multi-objective optimization procedure combining finite element modeling of impingement cooling system, Response Surface Approximation (RSA) of objective functions and optimization based on Multi-Objective Genetic Algorithm (MOGA), to achieve maximum heat transfer and minimum entropy generation is demonstrated. For the purpose, numerical simulations are performed for impingement cooling system with Al2O3/water nanofluid, to investigate the influence of Reynolds number (Re  ), non-dimensional channel height (H/LH/L) and nanoparticle volume fraction (ϕϕ) on fluid flow, heat transfer and entropy generation. The simulated results illustrate that, a secondary recirculation bubble observed on upper surfaces of fourth (at Re ⩾⩾ 500) and fifth (for Re ⩾⩾ 800) heat sources, lead to an accumulation of heat. The magnitude of local Nusselt number (Nu  ) is found to be maximum along stagnation region whereas in the regions of secondary recirculation a minimum value is observed. Further, an increase in overall surface averaged Nusselt number (Nuov‾) and global total entropy generation (Stot,ΩStot,Ω) is observed with increasing Re,ϕRe,ϕ and decreasing H/LH/L. Subsequently, Nuov‾ and Stot,ΩStot,Ω are selected as objective functions and are modeled using RSA. Furthermore, MOGA has been implemented to obtain optimum configurations of impingement cooling system encapsulating in the functional space lying on the Pareto-optimal frontier where a trade-off between two performance parameters, Nuov‾ and Stot,ΩStot,Ω are obtained.