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Sunday, December 27, 2009

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This post is in response to some readers request for calculation of Wetted Surface Area For VERTICAL Cylindrical vessel with Elliptical Head.


Earlier post "Calculate Wetted Surface Area For Horizontal Vessel With Elliptical Head" has presented an accurate equation may be used to calculate wetted surface area for Horizontal Cylindrical Vessel with Elliptical Head. Simplified equations also presented in "Calculate Wetted Surface Area For Horizontal Vessel With Elliptical Head (Simplified)"
to calculate the wetted surface area.
 

This principle in deriving Wetted Surface Area For VERTICAL Cylindrical vessel with Elliptical Head was based on the accurate equations as presented in "Calculate Wetted Surface Area For Horizontal Vessel With Elliptical Head". Two main principles used were :
  • horizontal vessel liquid height (H) reached maximum level (d) where H = d
  • horizontal vessel tan-tan length (L) equal to the vessel vessel liquid height ( l) where L = l
Wetted Surface Area (Cylindrical section)
Wetted Surface Area for Cylindrical section can be calculated with following equation :



Wetted Surface Area (Elliptical head)
Wetted Surface Area for Elliptical head (one head) can be calculated with following equation :



where
d = Vessel inside diameter (m)
l = Liquid height from bottom tangent line (m)

Example
An ellipsoidal heads VERTICAL vessel with internal diameter (d) of 1m and liquid level height from bottom tangent line is 2m. Determine wetted surface area. 
 
d = 1m
l = 2m
Awet,Cyl = PI x d x l = PI x 1 x 2 = 6.28 m2
Awet,Head = 1.084 x d^2 = 1.084 x 1^2 = 1.084 m2
Total wetted surface area, Awet,total = Awet,Cyl + Awet,Head = 7.37 m2

Ref : "Accurate Wetted Areas for Partially Filled Vessels", by Richard C. Doane, "Chemical Engineering", December 2007
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