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

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

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Heat Transfer
If Prandtl number is greater than the Schmidt number, then the

thermal boundary layer lies inside the concentration boundary layer
concentration boundary layer lies inside the thermal boundary layer
none of the listed here
thermal & concentration boundary layers are of equal thickness

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