How to Calculate and Solve for Reynold’s Number | Polymer & Textile
Last Updated on March 9, 2024
The image above represents the Reynold’s number. To calculate Reynold’s number, four essential parameters are needed, and these parameters are the density of fluid (ρ), mean flow velocity (v), diameter of die (d) and viscosity (μ).
The formula for calculating Reynold’s number:
Re = ρvd / μ
Where:
Re = Reynold’s Number
ρ = Density of Fluid
v = Mean Flow Velocity
d = Diameter of Die
μ = Viscosity
Let’s solve an example;
Given that density of fluid is 14, mean flow velocity is 27, diameter of die is 18 and viscosity is 10, find the Reynold’s number.
This implies that;
ρ = Density of Fluid = 14
v = Mean Flow Velocity = 27
d = Diameter of Die = 18
μ = Viscosity = 10
Re = ρvd / μ
So, Re = (14)(27)(18) / 10
Re = 6804 / 10
Re = 680.4
Therefore, the Reynold’s number is 680.4.
Calculating the Density of Fluid when the Reynold’s Number, Mean Flow Velocity, Diameter of Die and Viscosity are Given
ρ = Re x μ / vd
Where:
ρ = Density of Fluid
Re = Reynold’s Number
v = Mean Flow Velocity
d = Diameter of Die
μ = Viscosity
Let’s solve an example;
Given that Reynold’s number is 26, mean flow velocity is 14, diameter of die is 8 and viscosity is 12, find the density of fluid.
This implies that;
Re = Reynold’s Number = 26
v = Mean Flow Velocity = 14
d = Diameter of Die = 8
μ = Viscosity = 12
ρ = Re x μ / vd
ρ = 26 x 12 / (14)(8)
So, ρ = 312 / 112
ρ = 2.78
Therefore, the density of fluid is 2.78.
Calculating the Mean Flow Velocity when the Reynold’s Number, Density of Fluid, Diameter of Die and Viscosity are Given
v = Re x μ / ρd
Where:
v = Mean Flow Velocity
Re = Reynold’s Number
ρ = Density of Fluid
d = Diameter of Die
μ = Viscosity
Let’s solve an example;
Given that density of fluid is 22, Reynold’s number is 32, diameter of the die is 9 and viscosity is 6, find the mean flow velocity.
This implies that;
Re = Reynold’s Number = 32
ρ = Density of Fluid = 22
d = Diameter of Die = 9
μ = Viscosity = 6
v = Re x μ / ρd
That is, v = 32 x 6 / (22)(9)
v = 192 / 198
v = 0.96
Therefore, the mean flow velocity is 0.96.
Read more: How to Calculate and Solve for Free Volume of Polymer | Polymer & Textile
Calculating the Diameter of Die when the Reynold’s Number, Density of Fluid, Mean Flow Velocity and Viscosity is Given.
d = Re x μ / ρv
Where:
d = Diameter of Die
Re = Reynold’s Number
ρ = Density of Fluid
v = Mean Flow Velocity
μ = Viscosity
Let’s solve an example;
Given that density of fluid is 13, mean flow velocity is 24, Reynold’s number is 34 and viscosity is 16, find the diameter of die.
This implies that;
Re = Reynold’s Number = 34
ρ = Density of Fluid = 12
v = Mean Flow Velocity = 24
μ = Viscosity = 16
d = Re x μ / ρv
So, d = 34 x 16 / (12)(24)
d = 544 / 288
d = 1.89
Therefore, the diameter of die is 1.89.
Calculating the Viscosity Diameter of Die when the Reynold’s Number, Density of Fluid, Diameter of Die and are Given
μ = ρvd / Re
Where:
μ = Viscosity
Re = Reynold’s Number
ρ = Density of Fluid
v = Mean Flow Velocity
d = Diameter of Die
Let’s solve an example;
Given that density of fluid is 10, mean flow velocity is 7, diameter of die is 5 and Reynold’s number is 20, find the viscosity.
This implies that;
Re = Reynold’s Number = 20
ρ = Density of Fluid = 10
v = Mean Flow Velocity = 7
d = Diameter of Die = 5
μ = ρvd / Re
So, μ = (10)(7)(5) / 20
μ = 350 / 20
μ = 17.5
Therefore, the viscosity is 17.5.
How to Calculate and Solve for Reynold’s Number Using Nickzom Calculator
Nickzom Calculator – The Calculator Encyclopedia is capable of calculating the Reynold’s number.
To get the answer and workings of the Reynold’s number 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 1,500 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 Polymer & Textile under Engineering.
Now, Click on Reynold’s Number under Polymer & Textile
The screenshot below displays the page or activity to enter your values, to get the answer for the Reynold’s number according to the respective parameters which are the density of fluid (ρ), mean flow velocity (v), diameter of die (d) and viscosity (μ).
Now, enter the values appropriately and accordingly for the parameters as required by the density of fluid (ρ) is 14, mean flow velocity (v) is 27, diameter of die (d) is 18 and viscosity (μ) is 10.
Finally, Click on Calculate
As you can see from the screenshot above, Nickzom Calculator– The Calculator Encyclopedia solves for the Reynold’s number and presents the formula, workings and steps too.
