Open Access

ARTICLE

Influence of the Inclination Angle on Mixed Convection and Heat Transfer in a “T” Shaped Double Enclosure

M’Barka Mourabit^1,*, Meryam Meknassi², Soukaina Fekkar¹, Soumia Mordane¹, Hicham Rouijaa³, El Alami Semma⁴

1 Polymer Physics and Critical Phenomena Laboratory, Department of Physics, Faculty of Sciences of Ben M’Sik, Hassan II University, Casablanca, Morocco
2 Laboratory of Control and Mechanical Characterization of Materials and Structures, National Higher School of Electricity and Mechanics, Hassan II University, Casablanca, Morocco
3 Laboratory of Electrical Systems and Telecommunications, Department of Applied Physics, FST, Hassan 1st University, Settat, Morocco
4 Laboratory of Engineering Industrial Management and Innovation, FST, Hassan 1st University, Settat, Morocco

* Corresponding Author: M’Barka Mourabit. Email:

Fluid Dynamics & Materials Processing 2023, 19(7), 1753-1774. https://doi.org/10.32604/fdmp.2023.025739

Received 28 July 2022; Accepted 08 November 2022; Issue published 08 March 2023

Abstract

The effect of the tilt angle on mixed convection and related heat transfer in a “T” shaped double enclosure with four heated obstacles on the bottom surface is numerically investigated. The considered obstacles are constantly kept at a relatively high (fixed) temperature, while the cavity’s upper wall is cooled. The finite volume approach is used to solve the mass, momentum, and energy equations with the SIMPLEC algorithm being exploited to deal with the pressure-velocity coupling. Emphasis is put on the influence of the tilt angle on the solution symmetry, flow structure, and heat exchange through the walls. The following parameters and related ranges are considered: Rayleigh number 10⁴ ≤ Ra ≤ 5.10⁵, tilt angle 0° ≤ φ ≤ 90°, Reynolds number 100 ≤ Re ≤ 1000, Prandtl number Pr = 0.72, block height B = 0.5, opening width C = 0.15, and distance between blocks D = 0.5. The results reveal different branches of solutions on varying Re and φ . They also show that the symmetry of the solution regarding the P₂ axis is retained for all cases with no tilt and for values of Re between 100 and 1000.

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Graphical Abstract

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