2. Water enters a pipe at a temperature of 27°C and a flow rate of 450 kg/h. Heat flux is applied from outside the pipe, q'=ax (W/m). Here, a=20 W/m2 is a constant and x(m) is the length from the entrance.
a) Find the average temperature of the water flowing through the pipe as a function of the pipe length.
b) Find the outlet temperature of the water from a 30 m long pipe. (cp=4179 J/kgK)
Heat flux (Ф) can be defined as the rate of heat energy transfer through a given surface (W), and heat flux density (φ) is the heat flux per unit area (Wm²).
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