Question

Water flows through a Xylan tube at 300 K temperature and 0.5 kg/s flow rate. The inner and outer radii of the Xylan tube is 20 and 30 mm, respectively. A thin electrical heating tape wrapped around the outer surface of the Xylan tube delivers a uniform surface heat flux of 1500 W/m², while a convection coefficient of 20 W/ m K is maintained on the outer surface of the tape by ambient air at 310 K. (a) What is the outer surface temperature of the Xylan tube? (b) What is the fraction of the power dissipated by the tape, which is transferred to the water? Please draw the thermal circuit. Assume that the thermal properties of water at 300 K are as follows: u = 1100x10kg/s.m; k = 0.555 W/m.K; Pr = 7.45. Thermal conductivity of Xylan tube is k = 0.25 W/ mK.

Answer 1

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Note

In the above Question heat flux is balanced with ambient heat loss and tube heating of water.

In Tube, a hollow cylinder heat flow equation has been used.