Engineering

How to Calculate and Solve for Viscosity | Non Polar Gases | Transport Phenomena

Last Updated on May 14, 2024

The image above represents viscosity. To calculate viscosity, four essential parameters are needed and these parameters are Gram Molecular Weight (M), Temperature (Kelvin) (T), Characteristic Diameter (σ) and Collision Integral of Chapman Enskog Theory ( ηn).

The formula for calculating viscosity:

η = 2.67E-5√(MT) / σ².ηn

Where:

η = Viscosity | Non Polar Gases
M = Gram Molecular Weight
T = Temperature (Kelvin)
λ = Characteristic Diameter
ηn = Collision Integral of Chapman Enskog Theory

Let’s solve an example;
Find the viscosity when the gram molecular weight is 10, the temperature is 12, the characteristic diameter is 14 and the collision integral of chapman enskog theory is 16.

This implies that;

M = Gram Molecular Weight = 10
T = Temperature (Kelvin) = 12
λ = Characteristic Diameter = 14
ηn = Collision Integral of Chapman Enskog Theory = 16

η = 2.67E-5√(MT) / σ².ηn
That is, η = 2.67E-5√((10)(12)) / (14)².(16)
η = 2.67E-5√(120) / (196).(16)
η = 2.67E-5(10.954) / 3136
So, η = 0.000292 / 3136
η = 9.326e-8

Therefore, the viscosity is 9.326e-8 m²/s.

Read more: How to Calculate and Solve for Kinematic Viscosity | Transport Phenomena

How to Calculate Viscosity | Non Polar Gases Using Nickzom Calculator

Nickzom Calculator – The Calculator Encyclopedia is capable of calculating the viscosity.

To get the answer and workings of the viscosity 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 Transport Phenomena under Materials and Metallurgical

Now, Click on Viscosity under Transport Phenomena

The screenshot below displays the page or activity to enter your values, to get the answer for the viscosity according to the respective parameter which is the Gram Molecular Weight (M), Temperature (Kelvin) (T), Characteristic Diameter (σ) and Collision Integral of Chapman Enskog Theory ( ηn).

How to Calculate and Solve for Viscosity | Non Polar Gases | Transport Phenomena

Now, enter the values appropriately and accordingly for the parameters as required by the Gram Molecular Weight (M) is 10, Temperature (Kelvin) (T) is 12, Characteristic Diameter (σ) is 14 and Collision Integral of Chapman Enskog Theory ( ηn) is 16.

How to Calculate and Solve for Viscosity | Non Polar Gases | Transport Phenomena

Finally, Click on Calculate

How to Calculate and Solve for Viscosity | Non Polar Gases | Transport Phenomena

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

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