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Finite Element Numerical Simulation of Free Convection Heat Transfer in a Square Cavity Containing an Inclined Prismatic Obstacle With Machine Learning Optimization

Rajarajeswari, Perepi; Arasukumar, Thilagavathi; Anwar Bég, O.; Bég, Tasveer A; Kuharat, S.; Reddy, PBA; Ramachandra Prasad, V.

Authors

Perepi Rajarajeswari

Thilagavathi Arasukumar

O. Anwar Bég

Tasveer A Bég

PBA Reddy

V. Ramachandra Prasad



Contributors

Abstract

ABSTRACTThe present work describes a numerical simulation of free convection heat transfer inside a square cavity containing a prismatic obstacle at various angles of inclination. The nondimensional governing equations are discretized by the finite element method and solved in the commercial software “COMSOL Multiphysics 6.1” with appropriate boundary conditions. The effect of prominent parameters on streamline, isotherm contours, and local Nusselt number profiles are depicted graphically. The control parameters are the Prandtl number and Rayleigh number (103 ≤ Ra ≤ 106). The study considers air as the circulating fluid with the Prandtl number, Pr = 0.71. The computations are conducted for the prismatic shape at four different orientations of , and . The inclination angle of the prismatic obstacle is observed to exert a significant role in the distribution of heat and momentum inside the square cavity. Furthermore, neural network approaches are used for optimizing the thermal performance of the system, via Bayesian regularization machine learning analysis and Levenberg–Marquardt algorithms. The study finds applications in solar collectors, fuel cells, and so forth.

Journal Article Type Article
Acceptance Date Feb 8, 2025
Online Publication Date Feb 26, 2025
Deposit Date Feb 8, 2025
Publicly Available Date Feb 27, 2026
Journal Heat Transfer
Print ISSN 2688-4534
Electronic ISSN 2688-4542
Publisher Wiley
Peer Reviewed Peer Reviewed
DOI https://doi.org/10.1002/htj.23315
Keywords Square enclosure; Finite Element Method; Prismatic obstacle; natural convection; COMSOL finite element software; neural network optimization; Bayesian regularization; Levenberg-Marquardt algorithm