The rate of heat transfer to water flowing in a pipe was
Chapter 7, Problem 76P(choose chapter or problem)
Problem 76PThe rate of heat transfer to water flowing in a pipe was analyzed in Prob. 7-25. Let us approach that same problem, but now with dimensional analysis. Cold water enters a pipe, where it is heated by an external heat source (Fig. P7-79). The inlet and outlet water temperatures are Tin and Tout, respectively. The total rate of heat transfer Q̇ from the surroundings into the water in the pipe is known to be a function of mass flow rate ṁ, the specific heat cp of the water, and the temperature difference between the incoming and outgoing water. Showing all your work, use dimensional analysis to find the functional relationship between these parameters, and compare to the analytical equation given in Prob. 7-25. (Note: We are pretending that we do not know the analytical equation.)
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