How to Calculate and Solve for Non-Newtonian Fluid Shear Stress | Transport Phenomena
Last Updated on October 1, 2021
The image above represents non-newtonian fluid shear stress.
To compute for non-newtonian fluid shear stress, three essential parameters are needed and these parameters are Change in Pressure (ΔP), Distance between Fluid Flow (L) and Diameter of Pipe (y).
The formula for calculating non-newtonian fluid shear stress:
τyx = Δ.y / L
Where:
τyx = Non-Newtonian Fluid Shear Stress
ΔP = Change in Pressure
L = Distance between Fluid Flow
y = Diameter of Pipe
Let’s solve an example;
Find the non-newtonian fluid shear stress when the change in pressure is 12, the distance between fluid flow is 16 and the diameter of pipe is 10.
This implies that;
ΔP = Change in Pressure = 12
L = Distance between Fluid Flow = 16
y = Diameter of Pipe = 10
τyx = Δ.y / L
τyx = (12).(10) / 16
τyx = 120 / 16
τyx = 7.5
Therefore, the non-newtonian fluid shear stress is 7.5 Pa.
Calculating the Change in Pressure when the Non-Newtonian Fluid Shear Stress, the Distance between Fluid Flow and the Diameter of Pipe is Given.
ΔP = τyx x L / y
Where:
ΔP = Change in Pressure
τyx = Non-Newtonian Fluid Shear Stress
L = Distance between Fluid Flow
y = Diameter of Pipe
Let’s solve an example;
Find the change in pressure when the non-newtonian fluid shear stress is 20, the distance between fluid flow is 8 and the diameter of pipe is 4.
This implies that;
τyx = Non-Newtonian Fluid Shear Stress = 20
L = Distance between Fluid Flow = 8
y = Diameter of Pipe = 4
ΔP = τyx x L / y
ΔP = 20 x 8 / 4
ΔP = 160 / 4
ΔP = 40
Therefore, the change in pressure is 40.
Calculating the Distance between Fluid Flow when the Non-Newtonian Fluid Shear Stress, the Change in Pressure and the Diameter of Pipe is Given.
L = ΔP.y / τyx
Where:
L = Distance between Fluid Flow
τyx = Non-Newtonian Fluid Shear Stress
ΔP = Change in Pressure
y = Diameter of Pipe
Let’s solve an example;
Find the distance between fluid flow when the non-newtonian fluid shear stress is 15, the change in pressure is 5 and the diameter of pipe is 6.
This implies that;
τyx = Non-Newtonian Fluid Shear Stress = 15
ΔP = Change in Pressure = 5
y = Diameter of Pipe = 6
L = ΔP.y / τyx
L = (5).(6) / 15
L = 30 / 15
L = 2
Therefore, the distance between fluid flow is 2.
Calculating the Diameter of Pipe when the Non-Newtonian Fluid Shear Stress, the Change in Pressure and the Distance between Fluid Flow is Given.
y = τyx x L / ΔP
Where:
y = Diameter of Pipe
τyx = Non-Newtonian Fluid Shear Stress
ΔP = Change in Pressure
L = Distance between Fluid Flow
Let’s solve an example;
Find the diameter of pipe when the non-newtonian fluid shear stress is 10, the change is pressure is 2 and the distance between fluid flow is 4.
This implies that;
τyx = Non-Newtonian Fluid Shear Stress = 10
ΔP = Change in Pressure = 2
L = Distance between Fluid Flow = 4
y = τyx x L / ΔP
y = 10 x 4 / 2
y = 40 / 2
y = 20
Therefore, the diameter of pipe is 20.
Nickzom Calculator – The Calculator Encyclopedia is capable of calculating the non-newtonian fluid shear stress.
To get the answer and workings of the non-newtonian fluid shear stress 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
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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 Transport Phenomena under Materials and Metallurgical
Now, Click on Non-Newtonian Fluid Shear Stress under Transport Phenomena
The screenshot below displays the page or activity to enter your values, to get the answer for the non-newtonian fluid shear stress according to the respective parameter which is the Change in Pressure (ΔP), Distance between Fluid Flow (L) and Diameter of Pipe (y).
Now, enter the values appropriately and accordingly for the parameters as required by the Change in Pressure (ΔP) is 12, Distance between Fluid Flow (L) is 16 and Diameter of Pipe (y) is 10.
Finally, Click on Calculate
As you can see from the screenshot above, Nickzom Calculator– The Calculator Encyclopedia solves for the non-newtonian fluid shear stress and presents the formula, workings and steps too.
