Steady-state temperatures at selected nodal points of the symmetrical section of a flow channel are known to
Question:
Steady-state temperatures at selected nodal points of the symmetrical section of a flow channel are known to be T2 = 95.47°C, T3 = 117.3°C, T5 = 79.79°C, T6 = 77.29°C, T8 = 87.28°C, and T10 = 77.65°C. The wall experiences uniform volumetric heat generation of q = 106 W/m3 and has a thermal conductivity of k = 10W/m ∙ K. The inner and outer surfaces of the channel experience convection with fluid temperatures of T∞,i = 50°C and T∞,o = 25°C and convection coefficients 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.
Step by Step Answer:
Fundamentals of Heat and Mass Transfer
ISBN: 978-0471457282
6th Edition
Authors: Incropera, Dewitt, Bergman, Lavine