Equation for the Diameter of a Dryer

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Will26040
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TL;DR
I have come across this equation on a research paper to get the diameter of a dryer using its volume and Length/diameter ratio. I was wondering if anyone had seen it before/ knows how it is derived as I have not seen it in any books. Thanks
Photo of a printed page showing the dryer diameter formula D = (12V / (π(L/D)))^(1/2) where L/D = 1.5, then D = (12 × 0.24646 / (π(1.5)))^(1/2) = 0.856 m.
 
Will26040 said:
Summary:: I have come across this equation on a research paper to get the diameter of a dryer using its volume and Length/diameter ratio. I was wondering if anyone had seen it before/ knows how it is derived as I have not seen it in any books. Thanks

View attachment 273200
Can you provide a link to the paper? What kind of dryer?
 
The equation is dimensionally incorrect and makes no sense to me.