Correction Factor for Shell and Tube Heat Exchanger

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Consider a shell and tube heat exchanger (1 shell 2 tube Tubular Exchanger Manufacturers Association TEMA E). For this flow arrangement, a correction factor must be used with the equation



where and are the overall heat transfer coefficient and the area of the heat exchanger, respectively, and is the logarithmic mean temperature difference defined by:


where and .

Use the sliders to set the inlet and outlet temperatures of the hot fluid ( and ) and cold fluid ( and ). The corrected logarithmic mean temperature difference is .

This Demonstration computes the following ratios:


and the corresponding correction factor , which is given by:





Here, take (1 shell pass). If , use this equation:




The green dot in the graph indicates the position in the - plane corresponding to your choice of the hot fluid ( and ) and cold fluid ( and ) temperatures. The red curves correspond to the values of (between 0.2 and 4.0) commonly reported in the LMTD correction factor charts.


Contributed by: Housam Binous, Reyad A. Shawabkeh and Ahmed Bellagi (January 2017)
Open content licensed under CC BY-NC-SA




[1] "LMTD Correction Factor Charts." Chemical Engineer's Guide. (Jan 12, 2017)

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