Numerical simulation of the ferro-nanofluid flow in a porous ribbed microchannel heat sink: investigation of the first a
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(2020) 42:492
TECHNICAL PAPER
Numerical simulation of the ferro‑nanofluid flow in a porous ribbed microchannel heat sink: investigation of the first and second laws of thermodynamics with single‑phase and two‑phase approaches Quyen Nguyen1 · Shahab Naghdi Sedeh2 · Davood Toghraie2 · Rasool Kalbasi3 · Arash Karimipour3 Received: 25 January 2020 / Accepted: 12 July 2020 © The Brazilian Society of Mechanical Sciences and Engineering 2020
Abstract In this study, the entropy generation of Fe3 O4–water nanofluid flow in the porous ribbed microchannel heat sink with two approaches is investigated. For modeling, the nanofluid flow inside of porous ribbed microchannel heat sink with two models is classified. The range of Reynolds number and porosity of ribbed blocks is 10 ≤ Re ≤ 80 and 0 ≤ 𝜀 ≤ 75 %. The effects of Reynolds number, porosity and compression between microchannel without any rib, microchannel with solid rib and microchannel with LTNE porous rib for two models are investigated. The highest value for the coefficient of heat transfer occurs in the maximum value of volume concentration of nanoparticles, Reynolds number and porosity percent. We realized that, in this investigation, the mixture model represents higher value than single-phase model except in the zero percent of volume fraction of nanoparticles. Also, we showed that the entropy generation increases by increasing the porosity value. Keywords The first and second law of thermodynamics · Nanofluid flow · Porous rib · Microchannel heat sink · Singlephase approach · Two-phase approach List of symbols ST′′′ Entropy generation due to heat transfer (W m−3 K−1) ′′′ SF Entropy generation due to friction (W m−3 K−1) NF Dimensionless entropy generation due to friction NHT Dimensionless entropy generation due to heat transfer Be Bejan number Tb Bulk temperature (K) Tw Wall temperature (K) h(x) Local heat transfer coefficient (W m−2 K−1) have Average heat transfer coefficient (W m−2 K−1) Technical Editor: Ahmad Arabkoohsar. * Arash Karimipour [email protected] Davood Toghraie [email protected] 1
Institute of Research and Development, Duy Tan University, Danang 550000, Vietnam
2
Department of Mechanical Engineering, Khomeinishahr Branch, Islamic Azad University, Khomeinishahr, Iran
3
Department of Mechanical Engineering, Najafabad Branch, Islamic Azad University, Najafabad, Iran
H Dimensionless heat transfer coefficient Nu(x) Local Nusselt number Dh Hydraulic diameter of the channel (m) Lh Hydrodynamic entrance length (m) Lt Thermal entrance length (m) k Thermal conductivity (W m−1 K−1) Cp Specific heat capacity (J kg−1 K−1) fdrag Drag coefficient fave Average friction factor hsf Fluid–solid heat transfer coefficient (W m−2 K−1) asf Porous media interfacial per unit volume (m−1) Greek symbols 𝜌 Density (kg m−3) 𝜇 Viscosity (kg m−3 s−1) 𝜑 Volume fraction of nanoparticles 𝜅 Permeability of porous media (m2) 𝜀 Porosity percentage of porous rib Scripts nf Nanofluid np Nanoparticle p Particle m Mixture d
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