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Hello Sharjeel,
I have to admit that App. EE does not give you the answer to your problem. I give you two options:
Option 1 is an FE analysis. There are no rules given for your problems, neither the coils on the head nor the longitudinal halfpipe is covered. U-2(g) is the way out.
Option 2 is to use rules which are available. I have seen the following: The part covered by the longitudinal halfpipe has been calculated as a rectangular plate and the halfpipe as cylinder, using an efficiencey factor of 0.6. The connection halfpipe/cylinder is a junction which produces a discontinuity you cannot handle with the rules given in the Code. Therefore the angle of both tangent lines at the jubction should be exactly 90° to avoid unnecessary bending. You have to be carefully, experience with such designs and/or FE results of similar designs for comparision would be helpful.
I had the chance to compare the results of such a procedure and FE for an air cooler and the FE results were more conservative. This means you need the experience mentioned above and a safety margin which is large enough to catch the discontinuity. However, there we had a halfpipe to a thick flat plate, which is not the same. Please note that all this includes a lot of unknown variables, especially if the pressure in the halfpipe and its diameter and the thickness of the cylinder and ... make buckling a mode of failure.
Besides, sometimes such longitudinal halfpipes are not used for heating, but as inlet/outlet. In this case don´t forget the openings in the shell (ligaments?) and forget buckling of the shell part.
Michael
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