Heat Transfer of Newtonian Heat-Carrier Under Laminar Flow Through the Flat Porous Channel and Under Symmetric Border Conditions of the First Kind

Abstract

The precise analytical solution for the heat transfer problem in a porous flat channel with a laminar flow of a viscous incompressible coolant with boundary conditions of the first kind is obtained based on the assumption that the flow is unidirectional, phase transitions are absent, and the thermos-physical properties are constant. The model is based on the Schumann equations as an initial-boundary value task for the system of parabolic equations referring to the local temperature of the coolant and the porous matrix. The paper reveals the relation of the local Nusselt number and the conditions necessary to access the compactness of heat transfer systems with porous fillers.