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.