How to Calculate and Solve for Porosity | Non-Uniform Fluidization
Last Updated on July 27, 2021
The image above represents porosity.
To compute for porosity, four essential parameters are needed and these parameters are Fraction of Fluid in Bed (f), Sedimentation Velocity (uc), Fluid Channel Velocity (uf) and Index Number (n).
The formula for calculating porosity:
e = f(uc/uf) + (uc/uf(1 – f))1/n(1 – f(uc/uf))1 – (1/n)
Where:
e = Porosity | Non-Uniform Fluidization
f = Fraction of Fluid in Bed
uc = Sedimentation Velocity
uf = Fluid Channel Velocity
n = Index Number
Let’s solve an example;
Find the porosity when the fraction of fluid in bed is 2, the sedimentation velocity is 14, the fluid channel velocity is 10 and the index number is 1.
This implies that;
f = Fraction of Fluid in Bed = 2
uc = Sedimentation Velocity = 14
uf = Fluid Channel Velocity = 10
n = Index Number = 1
e = f(uc/uf) + (uc/uf(1 – f))1/n(1 – f(uc/uf))1 – (1/n)
e = 2(14/10) + (14/10(1 – 2))1/1(1 – 2(14/10))1 – (1/1)
e = 2(1.4) + (1.4(-1))1/1(1 – 2(1.4))0
e = 2.8 + (-1.4)1/1(1 – 2.8)0
e = 2.8 + (-1.4)(-1.799)0
e = 2.8 + (-1.4)(1)
e = 2.8 + -1.4
e = 1.4
Therefore, the porosity is 1.4.
Nickzom Calculator – The Calculator Encyclopedia is capable of calculating the porosity.
To get the answer and workings of the porosity using the Nickzom Calculator – The Calculator Encyclopedia. First, you need to obtain the app.
You can get this app via any of these means:
Web – https://www.nickzom.org/calculator-plus
To get access to the professional version via web, you need to register and subscribe for NGN 2,000 per annum to have utter access to all functionalities.
You can also try the demo version via https://www.nickzom.org/calculator
Android (Paid) – https://play.google.com/store/apps/details?id=org.nickzom.nickzomcalculator
Android (Free) – https://play.google.com/store/apps/details?id=com.nickzom.nickzomcalculator
Apple (Paid) – https://itunes.apple.com/us/app/nickzom-calculator/id1331162702?mt=8
Once, you have obtained the calculator encyclopedia app, proceed to the Calculator Map, then click on Materials and Metallurgical under Engineering.
Now, Click on Fluidization under Materials and Metallurgical
Now, Click on Porosity | Voidage System under Fluidization
The screenshot below displays the page or activity to enter your values, to get the answer for the porosity according to the respective parameters which are the Fraction of Fluid in Bed (f), Sedimentation Velocity (uc), Fluid Channel Velocity (uf) and Index Number (n).
Now, enter the values appropriately and accordingly for the parameters as required by the Fraction of Fluid in Bed (f) is 2, Sedimentation Velocity (uc) is 14, Fluid Channel Velocity (uf) is 10 and Index Number (n) is 1.
Finally, Click on Calculate
As you can see from the screenshot above, Nickzom Calculator– The Calculator Encyclopedia solves for the porosity and presents the formula, workings and steps too.