This paper presents a mathematical model for bi-directional convection magnetohydrodynamic (MHD) tangent hyperbolic nanofluid flow from the upper horizontal subsurface of stretching parabolic surface to non-Darcian porous medium, as simulation nanocoating. Chemical reaction, activation energy and thermo solutal buoyancy effects are included. The Darcy–Brinkman–Forchheimer is deployed which perm...

We prove a robustness of regularity result for the 3D convective Brinkman–Forchheimer equations ∂ t u − μ Δ + ( ⋅ ∇ ) p α β | r 1 = f , range absorption exponent ∈ [ 3 ] (for > there exist global-in-time regular solutions), i.e. we show that strong solutions these remain under small enough changes initial condition and forcing function. provide smallness which is similar to conditions given inc...

Slightly compressible Brinkman–Forchheimer equations in a bounded 3D domain with Dirichlet boundary conditions are considered. These model fluids motion porous media. The dissipativity of these higher order energy spaces is obtained and regularity smoothing properties the solutions studied. In addition, existence global an exponential attractors for natural phase space verified.

in this paper, the combined effect of suspended (fine dust) particles and rotation on the onset of thermosolutal convection in an elastico-viscous fluid in a porous medium is studied. for the porous medium, the brinkman model is employed and rivlin-ericksen model is used to characterize viscoelastic fluid. by applying normal mode analysis method, the dispersion relation has been derived and sol...