Steady-state temperatures at selected nodal points of the

Chapter , Problem 4.57

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Steady-state temperatures at selected nodal points of the symmetrical section of a flow channel are known to be T2 95.47C, T3 117.3C, T5 79.79C, T6 77.29C, T8 87.28C, and T10 77.65C. The wall experiences uniform volumetric heat generation of q . 106 W/m3 and has a thermal conductivity of k 10 W/m K. The inner and outer surfaces of the channel experience convection with fluid temperatures of T,i 50C and T,o 25C and convection coeffi- cients of hi 500 W/m2 K and ho 250 W/m2 K. (a) Determine the temperatures at nodes 1, 4, 7, and 9. (b) Calculate the heat rate per unit length (W/m) from the outer surface A to the adjacent fluid. (c) Calculate the heat rate per unit length from the inner fluid to surface B. (d) Verify that your results are consistent with an overall energy balance on the channel section. 4.58 Cons

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