ZAMM ‐ Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik, Год журнала: 2024, Номер unknown

Опубликована: Ноя. 23, 2024

Abstract Comprehending the dynamics of reactive viscoelastic third‐grade fluids (VTGF) in gravity‐driven flows along inclined planes is crucial for numerous engineering and industrial applications. This research focuses to explore transient behavior such a fluid under non‐isothermal conditions, with an emphasis on impact exothermic reactions. The plane region, filled porous material constant permeability, modeled using modified version Darcy's law account resistance flow. viscosity‐temperature dependence follows Nahme‐type principle, while convective cooling at free surface simulated Newton's law. chemical reaction described Arrhenius kinetics. resulting mathematical model energy balanced momentum comprises set non‐homogeneous nonlinear partial differential equations (PDEs), which are transformed into dimensionless form solved semi‐implicit numerical techniques based finite difference methods (FDM) implemented Matlab. study visually examines thermo‐dynamical phenomena as thermal runaway due investigates how velocity temperature respond variations system parameters. findings indicate that interplay between medium, viscosity variation, effects significantly influences flow behavior, providing valuable insights optimizing controlling systems practical

Язык: Английский