Question: Dimensional analysis, consider the flow system described in the first paragraph of S14.3, for which dimensional analysis has already given the dimensionless velocity profile (Eq.

Dimensional analysis, consider the flow system described in the first paragraph of S14.3, for which dimensional analysis has already given the dimensionless velocity profile (Eq. 6.2-7) and temperature profile (Eq. 14.3-9). 

(a) Use Eqs. 6.2-7 and 14.3-9 and the definition of cup mixing temperature to get the time-averaged expression. 

(b) Use the result just obtained and the definitions of the heat transfer coefficients to derive Eqs. 14.3-12, 13, and 14

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