Shell diameter for ST-type exchanger equation

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The discussion focuses on finding the shell diameter correlations for ST-type exchangers, specifically referencing a challenging equation from Ludwig's work. The original poster struggled to locate the equation after extensive searching. Ultimately, they discovered that the equation is found in a different Ludwig book titled "Applied Process Design for Chemical and Petrochemical Plants," specifically in equation 10-2. This information could be valuable for others facing similar issues in reactor design. The exchange highlights the importance of proper resource identification in engineering calculations.
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Formula for shell diameter.
Hello. I have figured out a few things about ST-type exchangers and I intend to build a reactor with this new knowledge. I have a rather... small problem.

So I searched for shell diameter correlations given the pitch and number of tubes and I found this from a writeup:
apparentlyfromludwig.png


Apparently, it's from Ludwig, but the writeup did not say where the equation is, exactly. I have been staring and scanning at Ludwig for five long hours now and I am unable to find this equation (lol, I swear my eye nerves are going to burst). Is someone familiar with this equation? Thank you.
 
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Nevermind, found it. Apparently it's in another Ludwig book. Applied Process Design for Chemical and Petrochemical Plants; eqn 10-2; for people who might need this.
 
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