In heat exchanger, we calculate log mean temperature difference (LMTD). LMTD gives the logarithmic mean of temperature difference between hot streams and cold streams. there are other types of mean also like arithmetic mean, geometric mean, harmonic mean. In heat exchanger we use log mean because the temperature profile is logarithmic in a heat exchanger. in case of same temperature difference at the two ends of a heat exchanger which can be in counter current flow, arithmetic mean temperature difference is used.
Practical Aspects: can we increase the heat transfer rate by attaching fins to the tubes?
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