Heat exchanger calculations

Principles of a heat exchanger

The principles of a heat exchanger, here of the counter-current type, are shown below:

Heat exchanger principles            where
ΔTM = logarithmic mean temperature difference [K]
Q = flow of heat [W]
A = cross-sectional area [m2]
W = heat capacity flow [W/K]
A = heating area [m2·K]
ΔT = temperature difference [K]
For a differential surface element dA the following applies:

Differential heat flow

Integration gives:

Integrated heat flow

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Logarithmic mean temperature difference
Hydraulic diameter

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