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Mathematics 2015, 3(4), 1255-1273; doi:10.3390/math3041255

Two Dimensional Temperature Distributions in Plate Heat Exchangers: An Analytical Approach

Department of Mechanical Engineering, Shahid Bahonar University of Kerman, P.O. Box 76175-133, Kerman 76135-133, Iran
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Author to whom correspondence should be addressed.
Academic Editor: Palle E. T. Jorgensen
Received: 20 June 2015 / Revised: 26 November 2015 / Accepted: 30 November 2015 / Published: 16 December 2015
(This article belongs to the Special Issue Mathematical physics)
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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. View Full-Text
Keywords: plate heat exchanger; temperature distribution; analytical approach; Sturm-Liouville problem plate heat exchanger; temperature distribution; analytical approach; Sturm-Liouville problem
This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. (CC BY 4.0).

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MDPI and ACS Style

Ansari Dezfoli, A.R.; Mehrabian, M.A.; Saffaripour, M.H. Two Dimensional Temperature Distributions in Plate Heat Exchangers: An Analytical Approach. Mathematics 2015, 3, 1255-1273.

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