Cold water enters a pipe, where it is heated by an

Chapter 7, Problem 23P

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Problem 23P

Cold water enters a pipe, where it is heated by an external heat source (Fig. P7-25). The inlet and outlet water temperatures are Tin and Tout respectively. The total rate of heat transfer Q̇̇ from the surroundings into the water in the pipe is

where  is the mass flow rate of water through the pipe, and cp is the specific heat of the water. Write the primary dimensions of each additive term in the equation, and verify that the equation is dimensionally homogeneous. Show all your work.

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