Analysis of the Darcy-Brinkman flow with viscous dissipation and non-homogeneous thermal boundary condition
Abstract
This study investigates the steady-state Darcy-Brinkman flow within a thin, saturated porous domain, focusing on the effects of viscous dissipation and non-homogeneous boundary condition for the temperature. Employing asymptotic techniques with respect to the domain’s thickness, we rigorously derive the simplified coupled model describing the fluid flow. The mathematical analysis is based on deriving the sharp a priori estimates and proving the compactness results of the rescaled functions. The resulting limit model incorporates contributions of viscous dissipation and thermal boundary conditions and thus could prove useful in the engineering applications involving porous media.
Fields of Study & Subjects
Heat and Mass Transfer in Porous Media
Advanced Mathematical Modeling in Engineering
Heat Transfer and Optimization
Publication details
- Journal / source
- Mathematical Modelling and Analysis
- Publisher
- Vilnius Gediminas Technical University
- Volume
- 31
- Issue
- 1
- Pages
- 172–193
- Publication date
- 21 January 2026
- Language
- EN