Heat and Mass Transfer
The heat transfer takes place according to

Kirchhoff's law
Second law of thermodynamics
First law of thermodynamics
Zeroth law of thermodynamics

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Heat and Mass Transfer
The logarithmic mean temperature difference (tm) is given by (where Δt1 and Δt2 are temperature differences between the hot and cold fluids at entrance and exit)

tm = loge (Δt1 - Δt2)/ Δt1/Δt2
tm = (Δt1 - Δt2)/ loge (Δt1/Δt2)
tm = tm = (Δt1 - Δt2) loge (Δt1/Δt2)
tm = loge (Δt1/Δt2)/ (Δt1 - Δt2)

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