The image above represents the relative volume of a shrinkage cavity. To calculate the relative volume of a shrinkage cavity, three essential parameters are needed and these parameters are Liquid Shrinkage of Metal or Alloy (εv.l), Solid Shrinkage (εv.s) and Shrinkage in the Casting (εv.c).
The formula for calculating the relative volume of a shrinkage cavity:
Vt = εv.l + εv.s – (εv.c – εv.s)
Where:
Vt = Relative Volume of a Shrinkage Cavity
εv.l = Liquid Shrinkage of Metal or Alloy
Also, εv.c = Shrinkage in the Casting
εv.s = Solid Shrinkage
Let’s solve an example;
Find the relative volume of a shrinkage cavity when the liquid shrinkage of metal or alloy is 12, the shrinkage in the casting is 7 and the solid shrinkage is 5.
This implies that;
εv.l = Liquid Shrinkage of Metal or Alloy = 12
εv.c = Shrinkage in the Casting = 7
And then, εv.s = Solid Shrinkage = 5
Vt = εv.l + εv.s – (εv.c – εv.s)
So, Vt = 12 + 7 – ( 5 – 7)
Vt = 19 – -2
Vt = 21
Therefore, the relative volume of a shrinkage cavity is 21.
Read more:Â How to Calculate and Solve for the Total Volume Shrinkage | Solidification of Metals
How to Calculate the Relative Volume of a Shrinkage Cavity With Nickzom Calculator
Nickzom Calculator – The Calculator Encyclopedia is capable of calculating the relative volume of a shrinkage cavity.
To get the answer and workings of the relative volume of a shrinkage cavity 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
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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 Solidification of Metal under Materials and Metallurgical
Now, Click on Relative Volume of a Shrinkage Cavity under Solidification of Metal
The screenshot below displays the page or activity to enter your values, to get the answer for the relative volume of a shrinkage cavity according to the respective parameter which is the Liquid Shrinkage of Metal or Alloy (εv.l), Solid Shrinkage (εv.s) and Shrinkage in the Casting (εv.c).
Now, enter the values appropriately and accordingly for the parameters as required by the Liquid Shrinkage of Metal or Alloy (εv.l) is 12, Solid Shrinkage (εv.s) is 7 and Shrinkage in the Casting (εv.c) is 5.
Finally, Click on Calculate
As you can see from the screenshot above, Nickzom Calculator– The Calculator Encyclopedia solves for the relative volume of a shrinkage cavity and presents the formula, workings and steps too.
