Problem 45391. Calculate the sphericity of a Raschig ring
Sphericity is a measure of the roundness of any particle. It was defined by Wadell in 1935 as the ratio of the 'surface area of a sphere having the same volume as the given particle' to the 'surface area of the given particle'. By definition, the maximum value of sphericity is 1, which is that of a perfect sphere. The more elongated a particle is, the lesser its sphericity.
A Raschig ring is a common particle found in packed beds that are shaped like small pieces of a tube (see figure). As a hollow cylinder, it has a height H, inner radius R1, and outer radius R2. The sphericity of a Raschig ring is important to calculate as it can influence the performance of a packed bed for adsorption.
Make a function that takes three values: H, R1, and R2. Output the sphericity of this hollow cylinder rounded to 4 decimal places. You are ensured that:
- H, R1, and R2 are all positive integers
- R1 < R2
- All inputs have consistent units; and
- No input value exceeds 100.
Solution Stats
Problem Comments
-
4 Comments
Please clarify : Outside surface of a tube or the inner on aswell
Volume of the entire tube or minus the hollow part
For surface area: Both inner + outer are included. For volume: subtract the hollow part.
Also include small rings on either side.
EXCELLENT test suite!
Solution Comments
Show commentsProblem Recent Solvers89
Suggested Problems
-
1550 Solvers
-
485 Solvers
-
788 Solvers
-
873 Solvers
-
7969 Solvers
More from this Author19
Problem Tags
Community Treasure Hunt
Find the treasures in MATLAB Central and discover how the community can help you!
Start Hunting!