Abstract
Analytical solutions are developed to work out the two-dimensional (2D) temperature changes of flow in the passages of a plate heat exchanger in parallel flow and counter flow arrangements. Two different flow regimes, namely, the plug flow and the turbulent flow are considered. The mathematical formulation of problems coupled at boundary conditions are presented, the solution procedure is then obtained as a special case of the two region Sturm-Liouville problem. The results obtained for two different flow regimes are then compared with experimental results and with each other. The agreement between the analytical and experimental results is an indication of the accuracy of solution method.
Highlights
The study of the coupled forms of heat transfer between forced convection flows and conduction in surfaces is very important due to the existence of these simultaneous effects in practical heat transfer processes
The dimensionless temperature distributions for hot and cold flows in this case are shown in Figure 2 for Kw = 0, where Kw is defined in Equation (12), the wall thermal resistance (Rw) is much smaller than the fluid thermal resistance (Rw
The analytical solution is obtained based on a two region Sturm-Liouville system consisting of two equations coupled at a common boundary
Summary
The study of the coupled forms of heat transfer between forced convection flows and conduction in surfaces is very important due to the existence of these simultaneous effects in practical heat transfer processes. The design and performance of counter flow multilayered heat exchangers offer excellent opportunities to analyze these complex physical phenomena. Many theoretical investigations of heat transfer characteristics of heat exchangers under plug, laminar, and turbulent flows have been. Research on fin efficiency, double pipe, and parallel plate exchangers is progressing. In connection with the conjugate heat transfer process over surfaces, the effect of wall heat conduction and convective heat transfer has been analyzed in several works. The temperature distribution in a horizontal flat plate of finite thickness was analyzed by Luikov [1]
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