20 mm diameter copper pipe is used to carry heated water, the external surface of the pipe is subjected to a convective heat transfer coefficient of h= 6 W/m? K, find the heat loss by convection per meter length of the pipe when the external temperature is 80°C and the surroundings are at 20°C.

Q3/ A 6(m) long 2(kW) electrical resistance wire is made of 0.2(cm) diameter stainless steel (k = 15.1 W/m °C). The resistance wire operates in an environment at 30°C with a heat transfer coefficient of 140 (W/m?. °C) at the outer surface. Find the temperature distribution equation and determine the surface temperature of the wire.

Thermal jackets are typically put on cryogenicstorage tanks to minimize the heat transfer gainsfrom the surroundings. Consider a cylindercontainer that is 1.5 m long made from steel (k = 750W/m.K) with an inner diameter of 0.5 m and outerdiameter of 0.7 m. If the liquefied natural gas (LNG)inside the cylinder is maintained at 90 K, ambientconditions are Tamb = 20 °C, h = 7 W/m2.K. What isthe required thermal jacket thickness to maintainthe outer temperature of that jacket of 15 °C? (Takea thermal conductivity of the insulation to be kins =0.015 W/m.K). Image credit: Okorder. Image forillustrative purposes only.

The 0.5 m x 1.2 m wall of an industrial furnace is constructed from L = 0.15-m-thick fireclay brick having a thermal conductivity of 1.7 W/m-K. The temperature distribution, at an instant in time, is T(x) = a + bxwhere a = 1400 K and b = -950 K/m. Determine the heat fluxes, q, and heat rates, q,, atx = 0 and.x = L, in W/m2 and W respectively. Do steady-state conditions exist? i W/m? i W/m? Ix=0 = i W i W Ix=L = Steady-state conditions exist. ||