Two dimensional temperature distributions in plate heat exchangers: an analytical approach
type: Item
instance of: scholarly article
title: Two dimensional temperature distributions in plate heat exchangers: an analytical approach
zbMATH Open document ID: 1479.80004
author: Amir Reza Ansari Dezfoli
author: Mozaffar Ali Mehrabian
author: Mohamad Hasan Saffaripour
published in: Mathematics
publication date: 2016-01-12T00:00:00Z
review text: Summary: 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.
Mathematics Subject Classification ID: 80A19
Mathematics Subject Classification ID: 76F25
Mathematics Subject Classification ID: 35P99
Mathematics Subject Classification ID: 34B24
zbMATH DE Number: 6528870
zbMATH Keywords: plate heat exchanger
zbMATH Keywords: temperature distribution
zbMATH Keywords: analytical approach
zbMATH Keywords: Sturm-Liouville problem
MaRDI profile type: Publication
full work available at URL: math3041255
OpenAlex ID: W2208837830
cites work: Convective heat transfer to laminar flow over a plate of finite thickness
cites work: Contributions to the theory of heat transfer through a laminar boundary layer
cites work: Application of numerical methods to study the effect of axial conduction in plates and flow channels on the performance of plate heat exchangers
cites work: Hydrodynamics and thermal characteristics of corrugated channels: Computational approach
cites work: Air–water two-phase flow and heat transfer in a plate heat exchanger
DOI: 10.3390/MATH3041255
description: scientific article; zbMATH DE number 6528870