Free convection at different locations of adiabatic elliptic blockage in a square enclosure

Author:

Billah Sayeda Sadia1ORCID,Hossain Muhammad Sajjad1ORCID,Asad Md. Fayz-al2ORCID,Mallik Muhammad Saiful Islam1ORCID,Paul Sreebash Chandra1ORCID,Munshi Md. Jahirul Haque3ORCID,Sarker Md. Manirul Alam4ORCID

Affiliation:

1. Department of Arts and Sciences, Ahsanullah University of Science and Technology (AUST), Dhaka- 1208

2. Department of Mathematics, American International University – Bangladesh, Kuratoli, Khilkhet, Dhaka-1229

3. Department of Mathematics, Hamdard University Bangladesh (HUB), Hamdard Nagar, Gazaria, Munshigonj-1510

4. Department of Mathematics, Bangladesh University of Engineering and Technology, Dhaka-1000

Abstract

The numerical simulation of free convection flow within a square-shaped enclosure for various orientations of elliptic blockage (EB) is performed in the present study. The bottom wall of the cavity remains uniformly heated, where the left and right (side) walls as well as the boundary wall of the elliptic blockage are insulated and the top wall remains at a cool temperature. As $Pr$ remains constant, the effects of different values of $Ra$ have a great influence on overall fluid flow and temperature gradient for three different locations: bottom elliptic blockage (BEB), center elliptic blockage (CEB) and top elliptic blockage (TEB), as a mass flow circulation has been identified, and a state of equilibrium has been established within the fluid flow simulations along with the isotherm contours. The outcomes of the numerical analysis are presented with the streamlines, isotherms, and variations of the average Nusselt number.

Publisher

Mathematical Modelling and Numerical Simulation with Applications

Reference45 articles.

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2. [2] Sajjadi, H., Gorji, M., Kefayati, G.H.R., Ganji, D.D. and Shayan Nia, M. Numerical analysis of turbulent natural convection in a square cavity using Large-Eddy simulation in lattice Boltzmann method. Iranian Journal of Science & Technology Transactions of Mechanical Engineering, 35(M2), 33-143, (2011).

3. [3] Shati, A.K.A., Blakey, S.G. and Beck, S.B.M. A dimensionless solution to radiation and turbulent natural convection in square and rectangular enclosures. Journal of Engineering Science and Technology, 7(2), 257-279, (2012).

4. [4] Durand-Estebe, B., Lebot, C., Arquis, E. and Mancos, J. Validation of turbulent natural convection in a square cavity for application of CFD modeling to heat transfer and fluid flow in a data center. In Proceedings, Biennial Conference on Engineering Systems Design and Analysis (ESDA), pp. 111-127, Nantes, France, (2012, July).

5. [5] Choi, S.K. and Kim, S.O. Turbulence modeling of natural convection in enclosures: a review. Journal of Mechanical Science and Technology, 26, 283-297, (2012).

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