Equation for the Diameter of a Dryer

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Discussion Overview

The discussion revolves around an equation for calculating the diameter of a dryer based on its volume and length/diameter ratio. Participants are exploring its validity, derivation, and dimensional consistency.

Discussion Character

  • Debate/contested, Technical explanation

Main Points Raised

  • One participant requests a link to the research paper and seeks clarification on the type of dryer referenced.
  • Another participant suggests that the equation may simply be a rearrangement of the volume of a cylinder, possibly adjusted for a partial fill.
  • Some participants express concerns about the equation being dimensionally incorrect, questioning its validity.
  • It is noted that such dimensional issues are often found in "rule of thumb" equations or those involving simplified constants.

Areas of Agreement / Disagreement

Participants express disagreement regarding the correctness of the equation, with some questioning its dimensional validity while others suggest it may be a straightforward rearrangement of known formulas.

Contextual Notes

There is uncertainty regarding the derivation of the equation and its applicability to different types of dryers. The discussion does not resolve the dimensional concerns raised.

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
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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?
 
Looks like it is just the volume of a cylinder, re-arranged, and maybe scaled so it isn't full.
 
The equation is dimensionally incorrect and makes no sense to me.
 
hutchphd said:
The equation is dimensionally incorrect...
That's common in "rule of thumb" or "rolled up constants" equations.
 

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