Equation for the Diameter of a Dryer

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SUMMARY

The discussion centers on an equation for calculating the diameter of a dryer based on its volume and length-to-diameter ratio. Participants express skepticism regarding the equation's validity, noting that it appears to be a rearranged formula for the volume of a cylinder but is dimensionally incorrect. The conversation highlights the prevalence of flawed "rule of thumb" equations in engineering literature, emphasizing the need for rigorous derivation and validation of such formulas.

PREREQUISITES
  • Understanding of basic geometry, specifically cylindrical volume calculations.
  • Familiarity with engineering principles related to dryer design.
  • Knowledge of dimensional analysis in physics and engineering.
  • Experience with interpreting academic research papers in engineering.
NEXT STEPS
  • Research the derivation of cylindrical volume formulas in engineering contexts.
  • Explore dimensional analysis techniques to validate engineering equations.
  • Investigate common "rule of thumb" equations in dryer design and their limitations.
  • Review academic papers on dryer design for more accurate modeling techniques.
USEFUL FOR

Engineers, researchers, and students involved in mechanical design, particularly those focusing on dryer systems and thermal processing equipment.

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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