TY - JOUR
T1 - Heat transfer and fluid flow for tube included a porous media
T2 - Assessment and Multi-Objective Optimization Using Particle Swarm Optimization (PSO) Algorithm
AU - Keykhah, Sajjad
AU - Assareh, Ehsanolah
AU - Moltames, Rahim
AU - Izadi, Mohsen
AU - Ali, Hafiz Muhammad
N1 - Publisher Copyright:
© 2019 Elsevier B.V.
PY - 2020/5/1
Y1 - 2020/5/1
N2 - Increasing efficiency, improving energy consumption, and optimizing energy in industries are more than ever considered by researchers. Some methods such as nanoparticles use and porous medium are used to increase the heat transfer rate. For this reason, in this paper, simulation and optimization of a two-dimensional tube with the presence of water–silver nanofluid and porous media have been performed to improve heat transfer. Different profiles of the rate, pressure, and temperature of the two-dimensional tube at volume fraction, porosity coefficient and Darcy numbers have been obtained and finally, the results are compared. Then, the Nusselt number and the friction coefficient in the range of Darcy numbers, porosity coefficient, different R1, and R2 were investigated. The results show that the Nusselt number and the friction coefficient increases and decreases with increasing the Darcy number, respectively and also, the Nusselt number and the friction coefficient reduces by increasing the porosity coefficient. Particle swarm algorithm method is used to optimize the results. Three methods of Shannon entropy, LINMAP and TOPSIS were examined to obtain the best solutions for the two objective functions studied in this study. The results showed that the Shannon entropy method show more optimal results. Finally, we can say that the best final value for the Nusselt number is 387.42 and for the coefficient friction is -0.02469. These values are obtained by taking the porosity, internal radius, external radius, and friction coefficient as 0.98, 0.05, 0.9, and 0.00228, respectively.
AB - Increasing efficiency, improving energy consumption, and optimizing energy in industries are more than ever considered by researchers. Some methods such as nanoparticles use and porous medium are used to increase the heat transfer rate. For this reason, in this paper, simulation and optimization of a two-dimensional tube with the presence of water–silver nanofluid and porous media have been performed to improve heat transfer. Different profiles of the rate, pressure, and temperature of the two-dimensional tube at volume fraction, porosity coefficient and Darcy numbers have been obtained and finally, the results are compared. Then, the Nusselt number and the friction coefficient in the range of Darcy numbers, porosity coefficient, different R1, and R2 were investigated. The results show that the Nusselt number and the friction coefficient increases and decreases with increasing the Darcy number, respectively and also, the Nusselt number and the friction coefficient reduces by increasing the porosity coefficient. Particle swarm algorithm method is used to optimize the results. Three methods of Shannon entropy, LINMAP and TOPSIS were examined to obtain the best solutions for the two objective functions studied in this study. The results showed that the Shannon entropy method show more optimal results. Finally, we can say that the best final value for the Nusselt number is 387.42 and for the coefficient friction is -0.02469. These values are obtained by taking the porosity, internal radius, external radius, and friction coefficient as 0.98, 0.05, 0.9, and 0.00228, respectively.
KW - Heat transfer
KW - Nanofluid
KW - Optimization
KW - Porous media
UR - https://www.scopus.com/pages/publications/85077708798
U2 - 10.1016/j.physa.2019.123804
DO - 10.1016/j.physa.2019.123804
M3 - Article
AN - SCOPUS:85077708798
SN - 0378-4371
VL - 545
JO - Physica A: Statistical Mechanics and its Applications
JF - Physica A: Statistical Mechanics and its Applications
M1 - 123804
ER -