MHD Free Convection Flow of Nanofluids Inside a Flush Mounted Heated Square Cavity Containing a Heat Conducting Triangular Cylinder

• Published in: International journal of applied and computational mathematics Vol. 11; no. 2
• Main Authors: Mahmuda, Shaikh, Ali, Mohammad Mokaddes
• Format: Journal Article
• Language: English
• Published: New Delhi Springer India 01.04.2025; Springer Nature B.V
• Subjects: Aluminum oxide; Applications of Mathematics; Computational Science and Engineering; Cylinders; Fluid flow; Fluid friction; Free convection; Hartmann number; Heat flux; Heat transfer; Heat transmission; Hot surfaces; Isotherms; Mathematical and Computational Physics; Mathematical Modeling and Industrial Mathematics; Mathematics; Mathematics and Statistics; Nanofluids; Nanoparticles; Nuclear Energy; Nusselt number; Operations Research/Decision Theory; Original Paper; Parameters; Rayleigh number; Temperature distribution; Theoretical; Flush mounted heater; Nanofluid; Free convection; Magnetic field; Square cavity; Finite element formulation
• ISSN: 2349-5103; 2199-5796
• DOI: 10.1007/s40819-025-01839-4

A numerical investigation of free convection flow and heat transfer of Al 2 O 3 -water nanofluid contained within a square cavity with partially heated, also cooled, vertical walls having flush-mounted heaters influenced by a magnetic field has been conducted in this study. The cavity’s top and bottom horizontal walls are conceived to be adiabatic while two flush mounted heater is placed on the vertical walls; furthermore, a heat-conducting triangular cylinder is positioned in the cavity's middle. Solving the dimensionless governing equations is done by adopting the Galerkin weighted residual method of finite element formulation. The impacts of leading parameters including Rayleigh number (10 3  ≤ Ra ≤ 10 6 ), Hartmann number (0 ≤ Ha ≤ 100), and solid-volume fraction of nanoparticles (0% ≤ ϕ ≤ 5%) on the velocity as well as temperature field are studied. Results are illustrated with regard to streamlines, isotherms, heat flux, and the average Nusselt number inside the cavity for the mentioned parameter. Outcomes demonstrated that affixing the nanoparticle volume fraction significantly diminishes the fluid velocity but augments the heat transfer. For the concentrations of 1%, 3%, and 5%, respectively, it is roughly 2.17%, 6.51%, and 11.01% higher than base fluid water. In addition, the flow field is also found to be remarkably changing with a higher Rayleigh number. More discretely, the average Nusselt number enhances as the nanoparticle volume fraction and the Rayleigh number intensify, whereas with a higher Hartmann number, the opposite tendency is exhibited. At lower Hartman numbers, heat transport is more irreversible than fluid friction is. The isotherms gradually get less noticeable at the edges of hot surfaces due to the Hartman number rising; therefore, its streamlines' stiffness diminishes within the hole. For rising Rayleigh numbers, there has been a drop in heat transfer of 4.54% at Ha = 20, and of 12.56% and 23.28% at Ha = 50 and 100 in comparison to Ha = 0. The effects of controlling parameters in both the flow and temperature domains vary depending upon the particular thermodynamic situation.