Enter the dynamic viscosity, length and diameter of the pipe, and the flow rate into the calculator to determine the flow resistance. This calculator helps in understanding the resistance to flow in a pipe due to viscosity.
Flow Resistance Formula
The following formula is used to calculate the flow resistance in a pipe.
R = frac{8 cdot mu cdot L}{pi cdot d^4} cdot QVariables:
- R is the flow resistance (Pa/m)
- (mu) is the dynamic viscosity of the fluid (Pa·s)
- L is the length of the pipe (m)
- d is the diameter of the pipe (m)
- Q is the flow rate (m³/s)
To calculate the flow resistance, multiply the dynamic viscosity by the length of the pipe, divide by the product of pi and the fourth power of the diameter of the pipe, and then multiply by the flow rate.
What is Flow Resistance?
Flow resistance is a measure of the opposition to fluid flow in a pipe, which is caused by the friction between the fluid and the pipe walls as well as the viscosity of the fluid. It is an important parameter in fluid dynamics and engineering, as it affects the pressure required to maintain a certain flow rate within a piping system.
How to Calculate Flow Resistance?
The following steps outline how to calculate the Flow Resistance.
- First, determine the dynamic viscosity of the fluid ((mu)) in Pa·s.
- Next, determine the length of the pipe (L) in meters.
- Next, determine the diameter of the pipe (d) in meters.
- Next, determine the flow rate (Q) in cubic meters per second.
- Next, gather the formula from above = R = (frac{8 cdot mu cdot L}{pi cdot d^4} cdot Q).
- Finally, calculate the Flow Resistance (R) in Pascals per meter.
- After inserting the variables and calculating the result, check your answer with the calculator above.
Example Problem :
Use the following variables as an example problem to test your knowledge.
dynamic viscosity ((mu)) = 0.001 Pa·s
length of the pipe (L) = 10 m
diameter of the pipe (d) = 0.05 m
flow rate (Q) = 0.002 m³/s
