How to Calculate and Solve for Reynold’s Number | Transport Phenomena
Last Updated on September 25, 2021
The image above represents reynold’s number.
To compute for reynold’s number, three essential parameters are needed and these parameters are Average Fluid Velocity (v’), Pipe Diameter (D) and Kinematic Viscosity (V).
The formula for calculating the reynold’s number:
Re = V’.D / V
Where:
Re = Reynold’s Number
v’ = Average Fluid Velocity
D = Pipe Diameter
V = Kinematic Viscosity
Let’s solve an example;
Find the reynold’s number when the average fluid velocity is 21, the pipe diameter is 12 and the kinematic viscosity is 7.
This implies that;
v’ = Average Fluid Velocity = 21
D = Pipe Diameter = 12
V = Kinematic Viscosity = 7
Re = V’.D / V
Re = (21).(12) / 7
Re = 252 / 7
Re = 36
Therefore, the reynold’s number is 36.
Calculating the Average Fluid Velocity when the Reynold’s Number, the Pipe Diameter and the Kinematic Viscosity is Given.
v’ = Re x V / D
Where:
v’ = Average Fluid Velocity
Re = Reynold’s Number
D = Pipe Diameter
V = Kinematic Viscosity
Let’s solve an example;
Find the average fluid velocity when the reynold’s number is 12, the pipe diameter is 4 and the kinematic viscosity is 2.
This implies that;
Re = Reynold’s Number = 12
D = Pipe Diameter = 4
V = Kinematic Viscosity = 2
v’ = Re x V / D
v’ = 12 x 2 / 4
v’ = 24 / 4
v’ = 6
Therefore, the average fluid velocity is 6.
Calculating the Pipe Diameter when the Reynold’s Number, the Average Fluid Velocity and the Kinematic Viscosity is Given.
D = Re x V / v’
Where:
D = Pipe Diameter
Re = Reynold’s Number
v’ = Average Fluid Velocity
V = Kinematic Viscosity
Let’s solve an example;
Given that the reynold’s number is 24, the average fluid velocity is 12 and the kinematic viscosity is 10. Find the pipe diameter?
This implies that;
Re = Reynold’s Number = 24
v’ = Average Fluid Velocity = 12
V = Kinematic Viscosity = 10
D = Re x V / v’
D = 24 x 10 / 12
D = 240 / 12
D = 20
Therefore, the pipe diameter is 20.
Calculating the Kinematic Viscosity when the Reynold’s Number, the Average Fluid Velocity and the Pipe Diameter is Given.
V = v’ x D / Re
Where:
V = Kinematic Viscosity
Re = Reynold’s Number
v’ = Average Fluid Velocity
D = Pipe Diameter
Let’s solve an example;
Find the kinematic viscosity when the reynold’s number is 8, the average fluid velocity is 6 and the pipe diameter is 4.
This implies that;
Re = Reynold’s Number = 8
v’ = Average Fluid Velocity = 6
D = Pipe Diameter = 4
V = v’ x D / Re
V = 6 x 4 / 8
V = 24 / 8
V = 3
Therefore, the kinematic viscosity is 3.
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 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 Reynold’s Number under Transport Phenomena
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 parameter which is the Average Fluid Velocity (v’), Pipe Diameter (D) and Kinematic Viscosity (V).
Now, enter the values appropriately and accordingly for the parameters as required by the Average Fluid Velocity (v’) is 21, Pipe Diameter (D) is 12 and Kinematic Viscosity (V) is 7.
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.