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

Mathematics

Amir Reza Ansari Dezfoli²  Mozaffar Ali Mehrabian¹  Mohamad Hasan Saffaripour² 

[1] Department of Mechanical Engineering, Shahid Bahonar University of Kerman, P.O. Box 76175-133, Kerman 76135-133, Iran;

关键词: plate heat exchanger;    temperature distribution;    analytical approach;    Sturm-Liouville problem;   

DOI  :  10.3390/math3041255

来源: mdpi

【 摘 要 】

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.

【 授权许可】

CC BY   
© 2015 by the authors; licensee MDPI, Basel, Switzerland.