CBS-FEM algorithm for mixed convection of irregular-shaped porous lid-driven cavity utilizing thermal non-equilibrium medium

• Published in: The European physical journal. ST, Special topics Vol. 231; no. 13-14; pp. 2837 - 2849
• Main Authors: Ahmed, Sameh E., Raizah, Zehba A. S., Elshehabey, Hillal M.
• Format: Journal Article
• Language: English
• Published: Berlin/Heidelberg Springer Berlin Heidelberg 01.09.2022; Springer Nature B.V
• Subjects: Algorithms; Atomic; Classical and Continuum Physics; Condensed Matter Physics; Convection modes; Finite element method; Forced convection; Heat generation; Heat transfer; Magnetic fields; Materials Science; Measurement Science and Instrumentation; Molecular; Optical and Plasma Physics; Physical factors; Physics; Physics and Astronomy; Porous media; Regular Article; S.I. : Transport Phenomena of Nanofluids in Cavities: Current Trends and Applications; Solid phases; .
• ISSN: 1951-6355; 1951-6401
• DOI: 10.1140/epjs/s11734-022-00596-5

This contribution examines a highly forced convection situation due to the movements of two adjacent wavy and straight walls of two-sided wavy enclosures. An adiabatic obstacle is located within the domain and the top boundary is partially heated. The included porous medium is assumed to be radiant and the two-energy equations system is applied for this proposed. An inclined magnetic force together with heat generation sources is inclusive in the flow area. The governing equations have been solved utilizing the characteristic-based split algorithm under the spirit of finite-element method. Numerical outcomes for the flow and heat transfer for the fluid and solid phases are determined for miscellaneous combinations of the physical factors. Graphical and tabular findings pointing out interesting features of the physics of the problem are presented and discussed. The forced convection mode is dominant at higher values of the undulation parameter λ and low values of the Hartmann number Ha . Also, the radiative porous medium reduces the Nusselt coefficient for the solid phase. Furthermore, the rate of the heat transfer is reduced by 80% when the values of the Darcy coefficient are decreased from 10 - 2 to 10 - 5 .