Helical force with a two-phase Cattaneo LTNE model on hyper-chaotic convection in the presence of magnetic field

• Published in: European physical journal plus Vol. 138; no. 7; p. 658
• Main Authors: Surendar, R., Muthtamilselvan, M.
• Format: Journal Article
• Language: English
• Published: Berlin/Heidelberg Springer Berlin Heidelberg 27.07.2023; Springer Nature B.V
• Subjects: Applied and Technical Physics; Atomic; Brinkman model; Complex Systems; Condensed Matter Physics; Convection; Fluid flow; Fluids; Heat conductivity; Heat flow; Heat flux; Heat transfer; Heat transmission; Heat transport; Helical flow; Magnetic fields; Mathematical and Computational Physics; Mathematical models; Molecular; Optical and Plasma Physics; Parameters; Physics; Physics and Astronomy; Porous materials; Porous media; Regular Article; Solid phases; Temperature profiles; Theoretical; Thermal relaxation; Transport equations
• ISSN: 2190-5444; 2190-5444
• DOI: 10.1140/epjp/s13360-023-04297-3

An extensive and precise computational evaluation of Cattaneo local thermal nonequilibrium (LTNE) impacts through the chaotic convective dynamical behavior in a two-phase porous medium with a helical force of magnetic field has been accomplished by using the double-Fourier mode techniques. Meanwhile embracing the Darcy–Brinkman model for base fluid flow and the Cattaneo heat flux law-derived hyperbolic-type heat transport equation in solid is being assessed. The energy equations are derived using the LTNE, which establishes different temperature profiles for both the fluid and solid phases. As a result of the Cattaneo LTNE effect, the system also exhibits exceptional topological properties, with regular patches enclosed within chaotic domains. The recently proposed perspective is in favor of the discovery of an analytical description for the critical Darcy–Rayleigh numbers that signify the commencement of steady and oscillate convection, respectively. The novel perspective of chaotic convection provides the most comprehensive explanation for the transition from Cattaneo heat flow, magnetic field, helical force, thermal relaxation parameter, and Darcy effect. The flow features of behavior in response to the stimulating individual and combination factors are investigated visually in great depth. At its most acute, the combination of heat flux conductivity and interphase thermal transfer destabilizes the system, whereas the magnetic field, helical force, Darcy effect, and thermal relaxation parameter coefficient have the opposite effect.