Non-homogeneous model for a side heated square cavity filled with a nanofluid |
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| Institution: | 1. Mechanical Engineering Department, Australian College of Kuwait, Safat 13060, Kuwait;2. Computing and Life Sciences Division, Argonne National Laboratory, 9700 S. Cass Avenue, Argonne, IL 60439, USA;1. Department of Mathematics, Capital University of Science and Technology, Islamabad, Pakistan;2. Lehrstuhl III, Department of Mathematics, Technical University Dortmund, Germany;3. Department of Mechanical Engineering, Semnan Branch, Islamic Azad University, Semnan, Iran;4. Department of Mechanical Engineering, Mahdishahr Branch, Islamic Azad University, Mahdishahr, Iran;1. Dept. of Mechanical Eng., Faculty of Eng., Cukurova University, Adana 01250, Turkey;2. Dept. of Mechanical Eng., College of Engineering, University of Mosul, Mosul 41002, Iraq;3. Dept. of Biomedical Eng., Faculty of Eng., Cukurova University, Adana 01250, Turkey;4. Dept. of Mechatronics Eng., College of Engineering, University of Mosul, Mosul 41002, Iraq |
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| Abstract: | A side heated two dimensional square cavity filled with a nanofluid is here studied. The side heating condition is obtained by imposing two different uniform temperatures at the vertical boundary walls. The horizontal walls are assumed to be adiabatic and all boundaries are assumed to be impermeable to the base fluid and to the nanoparticles. In order to study the behavior of the nanofluid, a non-homogeneous model is taken into account. The thermophysical properties of the nanofluid are assumed to be functions of the average volume fraction of nanoparticles dispersed inside the cavity. The definitions of the nondimensional governing parameters (Rayleigh number, Prandtl number and Lewis number) are exactly the same as for the clear fluids. The distribution of the nanoparticles shows a particular sensitivity to the low Rayleigh numbers. The average Nusselt number at the vertical walls is sensitive to the average volume fraction of the nanoparticles dispersed inside the cavity and it is also sensitive to the definition of the thermophysical properties of the nanofluid. Highly viscous base fluids lead to a critical behavior of the model when the simulation is performed in pure conduction regime. The solution of the problem is obtained numerically by means of a Galerkin finite element method. |
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| Keywords: | Non-homogeneous model Nanofluid Side heating Square cavity Rayleigh number Buongiorno’s model |
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