The image above represents steady state diffusion. To calculate steady state diffusion, three essential parameters are needed and these parameters are Diffusion Gradient (dC/dx), Cross-sectional Area (A) and Time (t).
The formula for calculating steady state diffusion:
J =Â dC/dx/At
Where:
J = Steady State Diffusion
dC/dx = Diffusion Gradient
A = Cross-sectional Area
t = Time
Given an example;
Find the steady state diffusion when the diffusion coefficient is 12, the cross-sectional area is 4 and time is 2.
This implies that;
dC/dx = Diffusion Gradient = 12
A = Cross-sectional Area = 4
t = Time = 2
J =Â dC/dx/At
J =Â 12/(4)(2)
So, J = 12/8
J = 1.5
Therefore, the steady state diffusion is 1.5mol m-2 s-1.
Calculating the Diffusion Coefficient when the Steady State Diffusion, the Cross-sectional Area and the Time are Given
dC/dx = J x At
Where:
dC/dx = Diffusion Gradient
J = Steady State Diffusion
A = Cross-sectional Area
t = Time
Given an example;
Find the diffusion coefficient when the steady state diffusion is 3, the cross-sectional area is 4 and the time is 9.
This implies that;
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J = Steady State Diffusion = 3
A = Cross-sectional Area = 4
t = Time = 9
dC/dx = J x At
dC/dx = 3 x (4)(9)
So, dC/dx = 3 x 36
dC/dx = 108
Therefore, the diffusion coefficient is 108.
Calculating the Cross-sectional Area when the Steady State Diffusion, the Diffusion Coefficient and the Time are Given
A = dC/dx / J x t
Where:
A = Cross-sectional Area
J = Steady State Diffusion
dC/dx = Diffusion Gradient
t = Time
Let’s solve an example;
Given that, the steady state diffusion is 12, the diffusion coefficient is 72 and the time is 6.
This implies that;
J = Steady State Diffusion = 12
dC/dx = Diffusion Gradient = 72
t = Time = 6
A = dC/dx / J x t
A = 72 / 12 x 6
So, A = 72 / 72
A = 1
Therefore, the cross-sectional area is 1.
Calculating the Time when the Steady State Diffusion, the Diffusion Coefficient and the Cross-sectional Area are Given
t = dC/dx / J x A
Where:
t = Time
J = Steady State Diffusion
dC/dx = Diffusion Gradient
A = Cross-sectional Area
Let’s solve an example;
Find the time when the steady state diffusion is 8, the diffusion coefficient is 40 and the cross-sectional area is 3.
This implies that;
J = Steady State Diffusion = 8
dC/dx = Diffusion Gradient = 40
A = Cross-sectional Area = 3
t = dC/dx / J x A
t = 40 / 8 x 3
So, t = 40 / 24
t = 1.67
Therefore, the time is 1.67s.
How to Calculate Steady State Diffusion With Nickzom Calculator
Nickzom Calculator – The Calculator Encyclopedia is capable of calculating the steady state diffusion
To get the answer and workings of the steady state diffusion 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 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 Diffusion In Alloying under Materials and Metallurgical
Now, Click on Steady State Diffusion under Diffusion In Alloying
The screenshot below displays the page or activity to enter your values, to get the answer for the steady state diffusion according to the respective parameter which is the Diffusion Gradient (dC/dx), Cross-sectional Area (A) and Time (t).
Now, enter the values appropriately and accordingly for the parameters as required by the Diffusion Gradient (dC/dx) is 12, Cross-sectional Area (A) is 4 and Time (t) is 2.
Finally, Click on Calculate
As you can see from the screenshot above, Nickzom Calculator– The Calculator Encyclopedia solves for the steady state diffusion and presents the formula, workings and steps too.
