Friday, April 12, 2024
Latest:
Engineering

# How to Calculate and Solve for Diffusion Flux | Diffusion in Alloying

Last Updated on January 11, 2023

The image above represents diffusion flux.

To compute for diffusion flux, three essential parameters are needed and these parameters are Mass Transfer (M), Cross-sectional Area (A) and Time (t).

The formula for calculating diffusion flux:

J = M/At

Where:

J = Diffusion Flux
M = Mass Transfer
A = Cross-sectional Area
t = Time

Given an example;
Find the diffusion flux when the mass transfer is 8, the cross-sectional area is 2 and the time is 6.

This implies that;

M = Mass Transfer = 8
A = Cross-sectional Area = 2
t = Time = 6

J = M/At
J = 8/(2)(6)
J = 8/12
J = 0.66

Therefore, the diffusion flux is 0.66 mol m-2 s-1.

Calculating the Mass Transfer when the Diffusion Flux, the Cross-sectional Area and Time is Given.

M = J x At

Where:

M = Mass Transfer
J = Diffusion Flux
A = Cross-sectional Area
t = Time

Let’s solve an example;
Find the mass transfer when the diffusion flux is 18, the cross-sectional area is 4 and the time is 3.

This implies that;

J = Diffusion Flux = 18
A = Cross-sectional Area = 4
t = Time = 3

M = J x At
M = 18 x (4)(3)
M = 18 x 12
M = 216

Therefore, the mass transfer is 216 mol.

Calculating the Cross-sectional Area when the Diffusion Flux, the Mass Transfer and the Time is Given.

A = M / J x t

Where:

A = Cross-sectional Area
J = Diffusion Flux
M = Mass Transfer
t = Time

Given an example;
Find the cross-sectional area when the diffusion flux is 10, the mass transfer is 40 and the time is 3.

This implies that;

J = Diffusion Flux = 10
M = Mass Transfer = 40
t = Time = 3

A = M / J x t
A = 40 / 10 x 3
A = 40 / 30
A = 1.33

Therefore, the cross-sectional area is 1.33 m2.

Calculating the Time when the Diffusion Flux, the Mass Transfer and the Cross-sectional Area is Given.

t = M / J x A

Where:

t = Time
J = Diffusion Flux
M = Mass Transfer
A = Cross-sectional Area

Let’s solve an example;
Find the time when the diffusion flux is 6, the mass transfer is 60 and the cross-sectional area is 5.

This implies that;

J = Diffusion Flux = 6
M = Mass Transfer = 60
A = Cross-sectional Area = 5

t = M / J x A
t = 60 / 6 x 5
t = 60 / 30
t = 2

Therefore, the time is 2s.

Nickzom Calculator – The Calculator Encyclopedia is capable of calculating the diffusion flux.

To get the answer and workings of the diffusion flux using the Nickzom Calculator – The Calculator Encyclopedia. First, you need to obtain the app.

You can get this app via any of these means:

You can also try the demo version via https://www.nickzom.org/calculator

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 Diffusion Flux under Diffusion In Alloying

The screenshot below displays the page or activity to enter your values, to get the answer for the diffusion flux according to the respective parameter which is the Mass Transfer (M), Cross-sectional Area (A) and Time (t).

Now, enter the values appropriately and accordingly for the parameters as required by the Mass Transfer (M) is 8, Cross-sectional Area (A) is 2 and Time (t) is 6.

Finally, Click on Calculate

As you can see from the screenshot above, Nickzom Calculator– The Calculator Encyclopedia solves for the diffusion flux and presents the formula, workings and steps too.