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 less than arithmetic average value
Is always more than arithmetic mean value and the geometric mean value
Is always less than arithmetic mean value, but more than geometric mean value

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Process Equipment and Plant Design
In a shell and tube heat exchanger, the clearance of the tube is generally

More than the tube diameter
Equal to the tube diameter
Not less than one-fourth of the tube diameter or 3/16"
More in case of triangular pitch as compared to the square pitch tube layout

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