Numerical study of laminar pulsed impinging jet on the metallic foam blocks using the local thermal non-equilibrium mode

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Numerical study of laminar pulsed impinging jet on the metallic foam blocks using the local thermal non‑equilibrium model Seyed Mostafa Hosseinalipour1 · Soroush Rashidzadeh1 · Mahdi Moghimi1   · Kazem Esmailpour2 Received: 22 August 2019 / Accepted: 20 December 2019 © Akadémiai Kiadó, Budapest, Hungary 2020

Abstract In this study, thermal performance of an impingement jet with the presence of porous block is numerically investigated. The study is comprised of two main parts. At first, a parametric study is conducted on the steady impingement jet with porous block. Later, the effect of porous block is assessed on the pulsative impingement jet. The effect of different pulsation frequencies and amplitudes is analyzed on the heat transfer between the jet and porous block. In order to model the thermal performance, the local thermal non-equilibrium model is applied to the system. An entropy generation study was also conducted in order to investigate the system’s performance from second law of thermodynamics point of view. In addition to the mentioned studies, by utilizing the energy density flux vector, different regimes of heat transfer in various cases are demonstrated and some of the trends obtained in parametric study are justified. The results suggest that porous block can change the Nusselt number distribution on the target plate. A more flattened Nusselt number distribution is observed with the presence of porous blocks. While lower frequencies and amplitudes of pulsation do not affect the thermal performance of the jet, higher ones have a moderate effect on the heat transfer rate of the impinging jet. Keywords  Pulsative impingement jet · Porous media · Numerical investigation · Entropy generation List of symbols a Interstitial area between phases Br Brinkman number C Specific heat capacity CF Forchheimer coefficient Da Darcy number d Inlet width h Heat transfer coefficient H Nozzle distance to target plate Hp Height of porous block * Mahdi Moghimi [email protected] Seyed Mostafa Hosseinalipour [email protected] Soroush Rashidzadeh [email protected] Kazem Esmailpour [email protected] 1



School of Mechanical Engineering, Iran University of Science and Technology (IUST), Narmak, Tehran 1684613114, Iran



Renewable Energy Research Center, Damavand Branch, Islamic Azad University, Damavand, Iran

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H

H ∗ Dimensionless height, H ∗ = Hp K Permeability k Thermal conductivity Nu Nusselt number p Thermodynamic pressure q′′ Heat flux Re Reynolds number based on nozzle width St Strouhal number T Temperature u Velocity Greek letters 𝜑 Porosity 𝜇 Dynamic viscosity 𝜌 Density Subscripts f Fluid j Inlet s Solid

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Introduction Jet impingement is one of the most effective methods of cooling and drying techniques with various applications ranging from computer chips cooling, textile industry to turbine blade cooling [1, 2]. It is well-known fact in the literature that an impinging stream toward a plate augments the heat transfer at stagnati