30.03.2023 - 14:53

A thin wall copper tube of radius 5 mm is used to transport refrigerant. Heat is lost to the ambient, which is at a lower temperature. Verify that there is an optimum thickness associated with the app

Question:

A thin wall copper tube of radius 5 mm is used to transport refrigerant. Heat is lost to the ambient, which is at a lower temperature. Verify that there is an optimum thickness associated with the application of insulation that can be used on the tube given in terms of the critical insulation radius (rcrit). State all the assumptions used in the above.

The conductivity of the cellular glass insulation proposed in this case is 0.055 W/mK and the outer surface convective coefficient is 5 W/m{eq}^2 {/eq}K. Calculate the critical insulation radius and sketch the expected variation of the thermal resistance with radius of insulation used.

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