Partial Differential Equations in Applied Mathematics (Sep 2024)
Radiating and Joule heating on heat and mass transfer of magnetized tiny particles in tangent hyperbolic nonlinear porosity flow with Riga plate and Arrhenius reaction
Abstract
The heat and mass transfer mechanism of motile tiny particles in nonlinear porosity media is significant in geosciences, bioremediation, soil mechanism, acoustics, and others to create an advection flow variable velocity field. Thus, the need to improve industrial species mixtures, thermal stability, conductivity strength for an enhanced productivity cannot be overstressed. As such, this study investigates thermal radiating and Joule heating on heat and mass transfer of magnetized tiny particles in tangent hyperbolic nonlinear porosity flow with the Riga plate and Arrhenius reaction. The developed model is appropriately transformed into an invariant derivative model, which is then solved by a Chebyshev wavelets technique. The presented graphical and tabular outcomes are verified and justified by comparing them with previous studies and are found to be accurate. As noticed from the analysis, the modified magnetization of magnet and magnetic field at low and high medium porosity, the velocity field decreased. The embedded energy equation terms inspired heat transfer while tiny particles Brownian motion damped the mass transfer at low and high viscous heating.