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Consider a steam pipe of length L= 9 m, inner radius r1 = 5 cm, outer radius r2 = 6 cm, and thermal conductivity k = 12.5 W/m.C. steam is flowing through the pipe at an average temperature of 1500C, and the average convection hat transfer coefficient on the inner surface is given to be h = 70 W/m2.C. If the average temperature on the outer surfaces of the pipe is T2= 800C, (a) express the differential equation and the boundary conditions for steady one-dimensional heat conduction through the pipe. (b) Obtain a relation for the variation of temperature in the pipe by solving the differential equation and (c) evaluate the rate of heat loss from the steam through the pipe.
an experimental fireworks shell is launched vertically from point a with an initial velocity of magnitude v0 140
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