The image above represents total volume shrinkage. To calculate the total volume shrinkage, three essential parameters are needed and these parameters are Liquid Shrinkage of Metal or Alloy (εv.l), Freezing Shrinkage (εv.f) and Solid Shrinkage (εv.s).
The formula for calculating the total volume shrinkage:
εv.t = εv.l + εv.f + εv.s
Where:
εv.t = Total Volume Shrinkage
εv.l = Liquid Shrinkage of Metal or Alloy
Also, εv.f = Freezing Shrinkage
εv.s = Solid Shrinkage
Let’s solve an example;
Find the total volume shrinkage when the liquid shrinkage of metal or alloy is 14, the freezing shrinkage is 7 and the solid shrinkage is 2.
This implies that;
εv.l = Liquid Shrinkage of Metal or Alloy = 14
εv.f = Freezing Shrinkage = 7
And then, εv.s = Solid Shrinkage = 2
εv.t = εv.l + εv.f + εv.s
So, εv.t = 14 + 7 + 4
εv.t = 25
Therefore, the total volume shrinkage is 25.
Calculating the Liquid Shrinkage of Metal or Alloy when the Total Volume Shrinkage, the Freezing Shrinkage and the Solid Shrinkage are Given
εv.l = εv.t – εv.f – εv.s
Where:
εv.l = Liquid Shrinkage of Metal or Alloy
εv.t = Total Volume Shrinkage
Also, εv.f = Freezing Shrinkage
εv.s = Solid Shrinkage
Let’s solve an example;
Find the liquid shrinkage of metal or alloy when the total volume shrinkage is 44, the freezing shrinkage is 12 and the solid shrinkage is 6.
This implies that;
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εv.t = Total Volume Shrinkage = 44
εv.f = Freezing Shrinkage = 12
And then, εv.s = Solid Shrinkage = 6
εv.l = εv.t – εv.f – εv.s
That is, εv.l = 44 – 12 – 6
εv.l = 26
Therefore, the liquid shrinkage of metal or alloy is 26.
Read more:Â How to Calculate and Solve for the Relative Volume of a Shrinkage Cavity | Solidification of Metals
Calculating the Freezing Shrinkage when the Total Volume Shrinkage, the Liquid Shrinkage of Metal or Alloy and the Solid Shrinkage are Given
εv.f = εv.t – εv.l – εv.s
Where:
εv.f = Freezing Shrinkage
εv.t = Total Volume Shrinkage
Also, εv.l = Liquid Shrinkage of Metal or Alloy
εv.s = Solid Shrinkage
Let’s solve an example;
Find the freezing shrinkage when the total volume shrinkage is 24, the liquid shrinkage of metal or alloy is 4 and the solid shrinkage is 2.
This implies that;
εv.t = Total Volume Shrinkage = 24
εv.l = Liquid Shrinkage of Metal or Alloy = 4
And then, εv.s = Solid Shrinkage = 2
εv.f = εv.t – εv.l – εv.s
So, εv.f = 24 – 4 – 2
εv.f = 18
Therefore, the freezing shrinkage is 18.
Read more:Â How to Calculate and Solve for Freezing Time | Solidification of Metals
Calculating the Solid Shrinkage when the Total Volume Shrinkage, the Liquid Shrinkage of Metal or Alloy and the Freezing Shrinkage are Given
εv.s = εv.t – εv.l – εv.f
Where:
εv.s = Solid Shrinkage
εv.t = Total Volume Shrinkage
Also, εv.l = Liquid Shrinkage of Metal or Alloy
εv.f = Freezing Shrinkage
Let’s solve an example;
Find the solid shrinkage when the total volume shrinkage is 35, the liquid shrinkage of metal or alloy is 10 and the freezing shrinkage is 5.
This implies that;
εv.t = Total Volume Shrinkage = 35
εv.l = Liquid Shrinkage of Metal or Alloy = 10
And then, εv.f = Freezing Shrinkage = 5
εv.s = εv.t – εv.l – εv.f
So, εv.s = 35 – 10 – 5
εv.s = 20
Therefore, the solid shrinkage is 20.
Read more:Â How to Calculate and Solve for Linear Shrinkage | Solidification of Metals
How to Calculate the Total Volume Shrinkage Using Nickzom Calculator
Nickzom Calculator – The Calculator Encyclopedia is capable of calculating the total volume shrinkage.
To get the answer and workings of the total volume shrinkage 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 for NGN 2,000 per annum 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 Solidification of Metal under Materials and Metallurgical
Now, Click on Total Volume Shrinkage under Solidification of Metal
The screenshot below displays the page or activity to enter your values, to get the answer for the total volume shrinkage according to the respective parameter which is the Liquid Shrinkage of Metal or Alloy (εv.l), Freezing Shrinkage (εv.f) and Solid Shrinkage (εv.s).
Now, enter the values appropriately and accordingly for the parameters as required by the Liquid Shrinkage of Metal or Alloy (εv.l) is 14, Freezing Shrinkage (εv.f) is 10 and Solid Shrinkage (εv.s) is 4.
Finally, Click on Calculate
As you can see from the screenshot above, Nickzom Calculator– The Calculator Encyclopedia solves for the total volume shrinkage and presents the formula, workings and steps too.
