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A stainless steel (AISI 304) tube is used to transport a cold liquid through a w

ID: 1860294 • Letter: A

Question

A stainless steel (AISI 304) tube is used to transport a cold liquid through a warm room. The tube has an inner diameter of 55mm and has a wall thickness of 3mm. In order to reduce heat loss the pipe is coated with 5mm thick layer of insulation (k= 0.1W/m-k). The liquid has a temprature of 3 C and the room has an ambient temprature of 40 . The inner convection Cofficient is determined to be 400 W/ m^2-K and free convection results in an outer convection Cofficient of 10W/m^2-K

a) Draw a thermal circuit to represent the problem

b) Determine the heat again per unit length of the pipe  (W/m)

Explanation / Answer

the volume of the tube is

V = pi x r^2 x L

where r is radius of tube and L is length of tube

let p be the density of tube

the mass of tube is m = p x V

the heat transfered is

Q = m x s x dT

where s is specific heat of liquid and dT is change in temperature

the power is

P = (Q/t)

where t is time taken

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