Process Equipment and Plant Design
Vertical condenser is advantageous to the horizontal condenser from operation point of view, when

Both the functions of condensation & sub cooling are carried out in a single unit
Sub cooling of condensate is desired
Only the function of condensation is to be carried out
Hydrostatic head is required for refluxing the condensate

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Process Equipment and Plant Design
In the case of a shell and tube heat exchanger, the logarithmic mean temperature difference

May be either more or less than geometric mean and arithmetic mean value depending upon whether the flow of stream is co-current or counter-current
Is always more than arithmetic mean value and the geometric mean value
Is always less than arithmetic average value
Is always less than arithmetic mean value, but more than geometric mean value

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