The image above represents Newton’s laws of viscosity of gases. To calculate Newton’s laws of viscosity of gases, four essential parameters are needed, and these parameters are the Number of Molecules (m), Boltzmann’s Constant (KB), Temperature (T), and Pipe Diameter (d).
The formula for calculating Newton’s laws of viscosity of gases:
η = 2(mKBT)0.5 / 3π1.5.d²
Where:
η = Newton’s Law of Viscosity of Gases
m = Number of Molecules
KB = Boltzmann’s Constant
T = Temperature
d = Pipe Diameter
Let’s solve an example;
Find the newton’s law of viscosity of gases when the number of molecules is 14, the boltzmann’s constant is 1.380E-23, the temperature is 10 and the pipe diameter is 21.
This implies that;
m = Number of Molecules = 14
KB = Boltzmann’s Constant = 1.380E-23
T = Temperature = 10
d = Pipe Diameter = 21
η = 2(mKBT)0.5 / 3π1.5.d²
That is, η = 2((14)(1.380e-23)(10))0.5 / 3π1.5.(21)²
η = 2(1.93e-21)0.5 / (16.70).(441)
η = 2(4.396e-11) / 7366.89
So, η = 8.79e-11 / 7366.89
η = 1.19e-14
Therefore, the newton’s law of viscosity of gases is 1.19e-14 m²/s.
Read more:Â How to Calculate and Solve for Stefan Boltzmann’s Constant | Radiation Heat Transfer
How to Calculate Newton’s Laws of Viscosity of Gases With Nickzom Calculator
Nickzom Calculator – The Calculator Encyclopedia is capable of calculating the newton’s law of viscosity of gases.
To get the answer and workings of the newton’s law of viscosity of gases 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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Once, you have obtained the calculator encyclopedia app, proceed to the Calculator Map, then click on Materials and Metallurgical under Engineering.
Now, Click on Transport Phenomena under Materials and Metallurgical
Now, Click on Newton’s Law of Viscosity of Gases under Transport Phenomena
The screenshot below displays the page or activity to enter your values, to get the answer for the newton’s laws of viscosity of gases according to the respective parameter which is the Number of Molecules (m), Boltzmann’s Constant (KB), Temperature (T) and Pipe Diameter (d).
Now, enter the values appropriately and accordingly for the parameters as required by the Number of Molecules (m) is 14, Boltzmann’s Constant (KB) is 1.380E-23, Temperature (T) is 10 and Pipe Diameter (d) is 21.
Finally, Click on Calculate
As you can see from the screenshot above, Nickzom Calculator– The Calculator Encyclopedia solves for the newton’s laws of viscosity of gases and presents the formula, workings and steps too.
