Engineering

How to Calculate and Solve for Particle Grain Growth | Phase Transformation

Last Updated on December 12, 2022

The image above represents particle grain growth.

To compute for particle grain growth, four essential parameters are needed and these parameters are Temperature Constant (C), Activation Energy (Q), Boltzmann’s Constant (K) and Temperature (Kelvin) (T).

The formula for calculating particle grain growth:

G’ = C exp (-Q/KT)

Where:

G’ = Particle Grain Growth
Q = Activation Energy
C = Temperature Constant
K = Boltzmann’s Constant
T = Temperature

Let’s solve an example;
Find the particle grain growth when the activation energy is 4, the temperature constant is 8, the boltzmann’s constant is 1.380E-23 and the temperature is 10.

This implies that;

Q = Activation Energy = 4
C = Temperature Constant = 8
K = Boltzmann’s Constant = 1.380E-23
T = Temperature = 10

G’ = C exp (-Q/KT)
G’ = (8)exp(-(4)/(1.38064852e-23)(10))
G’ = (8)exp(-4/1.3806485199999997e-22)
G’ = (8)exp(-2.8971892136602593e+22)
G’ = (8)(0)
G’ = 0

Therefore, the particle grain growth is 0.

Nickzom Calculator – The Calculator Encyclopedia is capable of calculating the particle grain growth.

To get the answer and workings of the particle grain growth 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 Phase Transformation under Materials and Metallurgical

Now, Click on Particle Grain Growth under Phase Transformation

The screenshot below displays the page or activity to enter your values, to get the answer for the particle grain growth according to the respective parameter which is the Temperature Constant (C), Activation Energy (Q), Boltzmann’s Constant (K) and Temperature (Kelvin) (T).

Now, enter the values appropriately and accordingly for the parameters as required by the Temperature Constant (C) is 8, Activation Energy (Q) is 8, Boltzmann’s Constant (K) is 1.380E-23 and Temperature (Kelvin) (T) is 10.

Finally, Click on Calculate


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

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