Numerical investigation of nanofluid laminar forced convection heat transfer between two horizontal concentric cylinders
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Numerical investigation of nanofluid laminar forced convection heat transfer between two horizontal concentric cylinders in the presence of porous medium Xinglong Liu1,2 · Davood Toghraie3 · Maboud Hekmatifar3 · Omid Ali Akbari4 · Arash Karimipour5 · Masoud Afrand6,7 Received: 11 June 2019 / Accepted: 2 February 2020 © Akadémiai Kiadó, Budapest, Hungary 2020
Abstract In this paper, the finite volume method is used to investigate the laminar forced convection of water–copper nanofluid between two porous horizontal concentric cylinders. The effects of Reynolds number, the volume fraction of nanoparticles, the geometry, and the porous medium porosity on heat transfer have been studied. The problem is investigated in two different geometries and Re = 10, 25, 50, 75,100, and volume fraction of nanoparticles 0, 0.2, 0.5, 2, and 5% that were related to Copper nanoparticles and the porous medium porosity of 0.5, 0.9. The results indicated that in each geometry, the corresponding Nusselt number increase in the porosity of 0.9 is greater than that of the case with the porosity of 0.5. The results show that the increase in the heat transfer coefficient in the second geometry is greater than the first geometry and in porosity 0.9 is greater than porosity 0.5. These increase values are 6 and 3%, respectively. The increase in the average temperature of the inner cylinder surface in the five mentioned Reynolds values and both geometries is investigated. This increase in temperature in Re = 10 is greater than other Reynolds numbers. The corresponding temperature increases of Re = 10, for the first and second geometries, are 1.8 and 2.2%, respectively. Investigation of the effects of volume fraction of nanoparticles on Nusselt number and heat transfer coefficient shows that both parameters increase by increasing in the volume fraction of nanoparticles. The results show that the increase in the volume fraction of nanoparticles causes the increase in average temperature of the surface. The results show that these increases of temperature that take place in the volume fractions of 0.5, 2, and 5% of nanoparticles are equal to 0.6, 1.14, and 2.3% and relative to the water, respectively. Keywords Nanofluid · Forced convection · Laminar flow · Nusselt number · Porous medium List of symbols Cf Coefficient of friction Cp Heat capacity (J kg−1 K−1) g Gravitational acceleration (m s−2) h Local heat transfer coefficient (W m−2 K−1) k Thermal conductivity coefficient (Wm−1 K−1)
Nu Nusselt number Re Reynolds number T Temperature (K) u, v, w Velocity components in x, y, z directions (ms−1)
* Masoud Afrand [email protected]
4
Young Researchers and Elite Club, Khomeinishahr Branch, Islamic Azad University, Khomeinishahr, Iran
Davood Toghraie [email protected]
5
Department of Mechanical Engineering, Najafabad Branch, Islamic Azad University, Najafabad, Iran
6
Laboratory of Magnetism and Magnetic Materials, Advanced Institute of Materials Science, Ton Duc Thang University, Ho Chi Minh City, Vietnam
7
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