7 replies to this topic

[bangzhuqiao]

There are already many calculation formulas on the internet for the volume of the filling height of a cylindrical pressure vessel.

However, in the LNG shipping, various types of storage tanks have emerged, such as Bi-lobe tanks and star tanks.

The head type mainly is Spherical head and Elliptical head. The difficulty lies in the volume of the head at the height between the intersection points of two heads.

May I ask if there is a formula for calculating the volume of the filling height of the Bi-lobe tank ? Mainly the derivation of the volume when the head is cut. 

Thanks a lot.

 

 

 

Attached Files

•  volume.xlsm   832.43KB   7 downloads
•  Partial volume of Bi-libo tank.zip   386.25KB   14 downloads

Edited by bangzhuqiao, 17 October 2024 - 01:12 PM.

[Pilesar]

Mensuration of complex shapes is generally done by sections if you want to use formulas. These tank shapes are portions of basic spheres and cylinders which have formulas available.  I've developed my own spreadsheets for other shapes. While this was an enjoyable challenge for me, I cannot claim the usefulness was worth the time I put into developing the application. Computer aided design software may be an easier path if you have access. Some sophisticated drawing packages will calculate volumes of enclosed shapes. Just input the shape of the vessel and the shapes of the liquid and vapor phases to find the volumes. In practice, consider whether it is reasonable to use load cells to weigh the entire vessel subtracting the tare weight of the dry container. 

[breizh]

Hi,

If your storage tank is already built, I will use a water meter and level measurement device to calculate the volume vs height of liquid and establish a curve Volume = f(height).

Pretty simple and accurate.

Interesting problem!

Breizh 

[latexman]

breizh has a wonderful suggestion!  Create a "strapping table" for your storage tank.  

[latexman]

bangzhuqiao,

 

You replied to Pilesar and breizh using the Report function somehow.  Don't do that.  Use Quote and reply one by one, or use MultiQuote and answer them both in one post.

 

Report is for reporting scammers and trolls and the like.  I deleted the two reports.

[breizh]

If you want someone to review your calculation, share with us the equations used and hypothesis.
Note:you will need to validate the method using what we suggested.
Breizh

[bangzhuqiao]

If you want someone to review your calculation, share with us the equations used and hypothesis.
Note:you will need to validate the method using what we suggested.
Breizh

The equation is a custom formula in the VB module of volume.xlsm. The volume formula of the cut head is fitted with the liquid level height and the volume data measured in 3D software. It's not a mathematical deduction.

[bangzhuqiao]

Mensuration of complex shapes is generally done by sections if you want to use formulas. These tank shapes are portions of basic spheres and cylinders which have formulas available.  I've developed my own spreadsheets for other shapes. While this was an enjoyable challenge for me, I cannot claim the usefulness was worth the time I put into developing the application. Computer aided design software may be an easier path if you have access. Some sophisticated drawing packages will calculate volumes of enclosed shapes. Just input the shape of the vessel and the shapes of the liquid and vapor phases to find the volumes. In practice, consider whether it is reasonable to use load cells to weigh the entire vessel subtracting the tare weight of the dry container. 

Yes, I can use 3D software such as SolidWorks/Creo to determine the volume corresponding to different liquid level heights. But in fact, 3D software is far from as convenient and fast as Excel formulas for calculation.

In addition, weighing is not very practical. The owner requires us to provide a liquid level comparison table, which means that when the storage tank is delivered, a liquid level height volume table will be provided.