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Buongiorno's model nanofluid natural convection inside a square cavity with thermal radiation
Affiliation:1. Department of Engineering, Mahdishahr Branch, Islamic Azad University, Mahdishahr, Iran;2. Department of Engineering, Booshehr Branch, Islamic Azad University, Booshehr, Iran;3. Shanghai Key Lab of Vehicle Aerodynamics and Vehicle Thermal Management Systems, Tongji University, 4800 Cao An Rd., Jiading, Shanghai 201804, China;1. Mechanical Engineering Department, Bushehr Branch, Islamic Azad University, Bushehr, Iran;2. Mechanical Engineering Department, Faculty of Engineering, Lorestan University, Khorramabad, Iran;3. Department of Mechanical Engineering, Technology Faculty, Fırat University, Elazig, Turkey;4. Department of Mechanical Engineering, King Abdulaziz University, Jeddah, Saudi Arabia;1. Department of Mechanical Engineering, University of Semnan, Semnan, Iran;2. Department of Mechanical Engineering, Islamic Azad university of Shahrood, Shahrood, Iran;3. School of Mechanical and Mining Engineering, The University of Queensland, Brisbane, QLD 4072, Australia
Abstract:Natural convection flow and heat transfer characteristics of Buongiorno's mathematical model nanofluid flow inside square cavity with isothermal conditions on both side walls and adiabatic conditions on top and bottom walls is studied numerically in this analysis. Finite difference method is employed to solve the governing partial differential equations formulated in stream function, nanoparticle volume fraction and temperature numerically. The results are presented in the form of streamlines, isotherms, isoconcentrations, local Nusselt number and Sherwood number for various values of influenced parameters, such as, Rayleigh number (100 ≤ Ra ≤ 300), buoyancy ratio parameter (0.1 ≤ Nr ≤ 0.9), Lewis number (1.0 ≤ Le ≤ 10), thermophoresis number (0.1 ≤ Nt ≤ 0.5), Brownian motion number (0.1 ≤ Nb ≤ 0.9) and radiation number (0.1 ≤ R ≤ 0.9) and are represented through graphs. It is detected that the values of rate of heat transfer elevates with rising values of Rayleigh number (Ra).
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