Correction Factor for Shell and Tube Heat Exchanger

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

SNAPSHOTS

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DETAILS

Reference
[1] "LMTD Correction Factor Charts." Chemical Engineer's Guide. (Jan 12, 2017) cheguide.com/tag/lmtd-correction-factor.
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