Analytical solution of hydrodynamics and heat exchange problem in a porous rectangular channel for thermal boundary conditions of the second kind. (October 2017)

• Record Type: Journal Article
• Authors: Konovalov, D A; Ryazhskikh, V I; Drozdov, I G
• Is Part Of: Journal of physics. Volume 891(2017)
• Publication Date: 2017-10
• Subjects: Physics -- Congresses; 530.5
• DOI: 10.1088/1742-6596/891/1/012103
• Languages: English
• ISSNs: 1742-6588

Abstract

Abstract: In a three-dimensional formulation, an analytical solution of the Darcy-Brinkman equation is obtained together with the two-temperature Schumann model equations for the unidirectional flow of a Newtonian medium in a laminar regime through a horizontal porous channel of a constant rectangular cross-section with known thermal flows at the boundary for small Darcy numbers. The analysis of the specific structure of a compact porous heat exchanger is presented, where the possibilities of the obtained solution for justification its geometrical dimensions during the cooling process of the surface with a heat release of 100 W/cm 2 are demonstrated.