How to Calculate and Solve for Non Steady State Diffusion | Diffusion in Alloying
Last Updated on February 28, 2023
The image above represents non steady state diffusion.
To compute for non steady state diffusion, three essential parameters are needed and these parameters are Distance of Diffusion (x), Diffusion Coefficient (D) and Time for Diffusion (t).
The formula for calculating non steady state diffusion:
Jn = x²/Dt
Where:
Jn = Non Steady State Diffusion
x = Distance of Diffusion
D = Diffusion Coefficient
t = Time for Diffusion
Given an example;
Find the non steady state diffusion when the distance of diffusion is 8, the diffusion coefficient is 10 and the time for diffusion is 12.
This implies that;
x = Distance of Diffusion = 8
D = Diffusion Coefficient = 10
t = Time for Diffusion = 12
Jn = x²/Dt
Jn = (8)²/(10)(12)
Jn = (64)/(120)
Jn = 0.53
Therefore, the non steady state diffusion is 0.53 mol m-2 s-1.
Calculating the Distance of Diffusion when the Non Steady State Diffusion, the Diffusion Coefficient and the Time for Diffusion is Given.
x = √Jn x Dt
Where:
x = Distance of Diffusion
Jn = Non Steady State Diffusion
D = Diffusion Coefficient
t = Time for Diffusion
Let’s solve an example;
Find the distance of diffusion when the non steady state diffusion is 10, the diffusion coefficient is 5 and the time for diffusion is 6.
This implies that;
Jn = Non Steady State Diffusion = 10
D = Diffusion Coefficient = 5
t = Time for Diffusion = 6
x = √Jn x Dt
x = √10 x (5)(6)
x = √10 x 30
x = √40
x = 6.32
Therefore, the distance of diffusion is 6.32.
Calculating the Diffusion Coefficient when the Non Steady State Diffusion, the Distance of Diffusion and the Time for Diffusion is Given.
D = x2 / Jn x t
Where:
D = Diffusion Coefficient
Jn = Non Steady State Diffusion
x = Distance of Diffusion
t = Time for Diffusion
Let’s solve an example;
Given that, the non steady state diffusion is 6, the distance of diffusion is 8 and the time for diffusion is 2.
This implies that;
Jn = Non Steady State Diffusion = 6
x = Distance of Diffusion = 8
t = Time for Diffusion = 2
D = x2 / Jn x t
D = 82 / 6 x 2
D = 64 / 12
D = 5.33
Therefore, the diffusion coefficient is 5.33.
Calculating the Time for Diffusion when the Non Steady State Diffusion, the Distance of Diffusion and the Diffusion Coefficient is Given.
t = x2 / Jn x D
Where:
t = Time for Diffusion
Jn = Non Steady State Diffusion
x = Distance of Diffusion
D = Diffusion Coefficient
Given an example;
Find the time for diffusion when the non steady state diffusion is 2, the distance of diffusion is 4 and the diffusion coefficient is 3.
This implies that;
Jn = Non Steady State Diffusion = 2
x = Distance of Diffusion = 4
D = Diffusion Coefficient = 3
t = x2 / Jn x D
t = 42 / 2 x 3
t = 16 / 6
t = 2.67
Therefore, the time for diffusion is 2.67s.
Nickzom Calculator – The Calculator Encyclopedia is capable of calculating the non steady state diffusion.
To get the answer and workings of the non 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
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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 Non-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 non-steady state diffusion according to the respective parameter which is the Distance of Diffusion (x), Diffusion Coefficient (D) and Time for Diffusion (t).
Now, enter the values appropriately and accordingly for the parameters as required by the Distance of Diffusion (x) is 8, Diffusion Coefficient (D) is 10 and Time for Diffusion (t) is 12.
Finally, Click on Calculate
As you can see from the screenshot above, Nickzom Calculator– The Calculator Encyclopedia solves for the non steady state diffusion and presents the formula, workings and steps too.
