Heat Transfer
Log mean temperature difference (LMTD) cannot be used, if

the heat capacity is not constant and there is a phase change.
heat transfer co-efficient over the entire heat exchanger is not constant
there exists an unsteady state
none of the listed here

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Heat Transfer
A dilute aqueous solution is to be concentrated in an evaporator system. High pressure steam is available. Multiple effect evaporator system is employed, because

Boiling point elevation in a single effect system is much higher than that in any effect in a multieffect system
Heat transfer co-efficient in a single effect is much lower than that in any effect in a multieffect system
Total amount of vapor produced per Kg of feed steam in a multiple effect system is much higher than in a single effect
Total heat transfer area of all the effects is -less than that in a single effect evaporator system

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