How to Calculate and Solve for Critical Radius of Solidifying Media | Phase Transformation
Last Updated on December 12, 2022
The image above represents the critical radius of solidifying media.
To compute for critical radius of solidifying media, four essential parameters are needed and these parameters are Surface Free Energy (γ), Latent Heat of Fusion (ΔHf), Melting Temperature of Solid (Kelvin) (Tm) and Temperature (Kelvin) (T).
The formula for calculating critical radius of solidifying media:
r* = -2γTm/ΔHf (Tm – T)
Where:
r* = Critical Radius of Solidifying Media
γ = Surface Free Energy
Tm = Melting Temperature of Solid
T = Temperature
ΔHf = Latent Heat of Fusion
Given an example;
Find the critical radius of solidifying media when the surface free energy is 2, the melting temperature of solid is 12, the temperature is 20 and latent heat of fusion is 4.
This implies that;
γ = Surface Free Energy = 2
Tm = Melting Temperature of Solid = 12
T = Temperature = 20
ΔHf = Latent Heat of Fusion = 4
r* = -2γTm/ΔHf (Tm – T)
r* = -2(2)(12)/(4)(12 – 20)
r* = (-48)/(4)(-8)
r* = (-48)/(-32)
r* = 1.5
Therefore, the critical radius of solidifying media is 1.5 cm.
Nickzom Calculator – The Calculator Encyclopedia is capable of calculating the liquid mass fraction.
To get the answer and workings of the liquid mass fraction 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 Phase Transformation under Materials and Metallurgical
Now, Click on Critical Radius of Solidifying Media under Phase Transformation
The screenshot below displays the page or activity to enter your values, to get the answer for the critical radius of solidifying media according to the respective parameter which is the Surface Free Energy (γ), Latent Heat of Fusion (ΔHf), Melting Temperature of Solid (Kelvin) (Tm) and Temperature (Kelvin) (T).
Now, enter the values appropriately and accordingly for the parameters as required by the Surface Free Energy (γ) is 2, Latent Heat of Fusion (ΔHf) is 4, Melting Temperature of Solid (Kelvin) (Tm) is 12 and Temperature (Kelvin) (T) is 20.
Finally, Click on Calculate
As you can see from the screenshot above, Nickzom Calculator– The Calculator Encyclopedia solves for the critical radius of solidifying media and presents the formula, workings and steps too.
