Related Experiment Video
Updated: Jun 7, 2025

Design and Optimization Strategies of a High-Performance Vented Box
Published on: June 9, 2023
Optimization of heat transfer in a double lid-driven cavity with isoperimetric heated blocks using GFEM
Ahmed Refaie Ali1,2, Rashid Mahmood3, Maria Ishfaq3
1Department of Mathematics and Computer Science, Faculty of Science, Menoufia University, Shebin El Kom, 32511, Menofia, Egypt. ahmed.refaie@science.menofia.edu.eg.
Abstract:
This article is concerned with the examination of flow dynamics and heat transfer characteristics in a 1:4 double lid driven cavity in presence of isoperimetric heated blocks of various shapes. The focus is to identify the optimal shape that enhances the heat transfer in a tall cavity. The parametric settings are chosen in such a way that all the convection regimes including natural, forced and mixed convection could be generated. This cavity has lids positioned at the top and bottom, moving in opposite directions along the x-axis. The physical system is represented as a set of coupled partial differential equations incorporating the rheological properties of the power-law fluids (PL). The governing equations in conjunction with various non-dimensional physical parameters are simulated via Galerkin's Finite Element Method (GFEM) on a very fine hybrid grid. The study includes the computation of the Kinetic Energy and Average Nusselt number to determine the optimal shape. It is concluded that the circular block is superior to the other two in terms of heat transmission efficiency.
Related Concept Videos
Mechanisms of Heat Transfer II
Mechanisms of Heat Transfer I
Mechanisms of Heat Transfer
Conduction, accounting for approximately 3% of body heat loss at rest, is the process of exchanging heat between molecules of two materials in direct contact. This can result in both heat loss and gain. For instance, when the body is submerged in water, which conducts heat 20 times more effectively than air, it can either lose or gain significant...
Mechanism of heat transfer
Heat Flow and Specific Heat
Thermal expansion and Thermal stress: Problem Solving
To solve the problem, first, identify the known and unknown quantities. The initial length (L) of the bridge is 1275 m, the coefficient of linear expansion (α) for steel is 12 x 10-6/°C, and the change in...

