(b) A cryogenic fluid flows through a long tube of 20 mm diameter, the outer surface of which is diffuse and gray ( $\epsilon_{1}=0.02$ ) at 77 K . This tube is concentric with a larger tube of 50 mm diameter, the inner surface of which is diffuse and gray ( $\epsilon_{2}=0.05$ ) and at 300 K . The space between the surfaces is evacuated. Calculate the heat gain by cryogenic fluid per unit length of tube. If a thin radiation shield of 35 mm diameter ( $\epsilon_{2}=0.02$ ) both sides is inserted midway between the inner and outer surfaces, calculate the percentage change in heat gain per unit length of the tube. H-4381 (2013 Scheme) ### 13.604 HEAT AND MASS TRANSFER (MSU) Time : 3 Hours Max. Marks : 100 Answer all questions from Part-A and one full question from each module of Part-B PART - A

Explanation

The heat gain by the cryogenic fluid per unit length of tube is calculated using the radiation heat exchange equation. The effect of the radiation shield on the heat gain is also calculated, and the percentage change is determined.


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