Question

8.12 water enters a tube at 27 0 with a llow rate of 450 kg/h. The heat transfer from the tube wall to the fluid is given as q(W/m)-ax, where the coefficient a is 20 W/m2 and x (m) is the axial distance from the tube entrance (a) Beginning with a properly defined differential con trol volume in the tube, derive an expression for the temperature distribution Tx) of the water (b) What is the outlet temperature of the water for a heated section 30 m long? (c) Sketch the mean fluid temperature, Tx), and the tube wall temperature, Tx), as a function of dis- tance along the tube for fully developed and devel- oping flow conditions. (d) What value of a uniform wall heat flux, (instead of gax), would provide the same fluid outlet temperature as that determined in part (b)? For this type of heating, sketch the temperature distribu- tions requested in part (c)

Please be clear with steps. I am trying to understand the process and concept. Thank you in advance.

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