The present study is an attempt to deal with hydrodynamic and thermal aspects of the incompressible Carreau fluid flow past a membrane consisting uniformly distributed aggregates porous cylindrical particles enclosing solid core which aims provide comprehensive impact non-Newtonian nature in filtration process through membranes. characteristic adopted describe mechanism pseudoplastic layout pat...

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.

distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. Abstract In this paper, we derive some estimates for the 3D non-autonomous linearization Brinkman-Forchheimer equation with singularly oscillating forces together with the averaged equation.

This paper presents a new approach to verify accuracy of computational simulations. We develop mathematical theorems which can serve as robust a posteriori error estimation techniques to identify numerical pollution, check the performance of adaptive meshes, and verify numerical solutions. We demonstrate performance of this methodology on problems from flow thorough porous media. However, one c...

Porous inserts and nanofluids are among the conventional methods for amelioration of heat transfer in industrial systems. The rate could also be improved by utilizing porous substances with a higher thermal conductivity these This research work presents two-dimensional (2D) numerical examination laminar forced convection an Al2O3-CuO-carboxy methyl cellulose (CMC) non-Newtonian hybrid nanofluid...

Abstract The internal heat source and reaction effects on the onset of thermosolutal convection in a local thermal non-equilibrium porous medium are examined, where temperature fluid solid skeleton may differ. linear instability nonlinear stability theories Darcy–Brinkman type with fixed boundary condition carried out layer is heated salted from below. <m:math xmlns:m="http://www.w3.org/1998/Ma...