Mean Velocity of Flow given Head Loss due to Frictional Resistance Solution

STEP 0: Pre-Calculation Summary
Formula Used
Mean Velocity = sqrt((Head Loss due to Friction*2*[g]*Diameter of Pipe)/(Darcy Friction Factor*Length of Pipe))
Vmean = sqrt((hlocation*2*[g]*Dpipe)/(f*Lp))
This formula uses 1 Constants, 1 Functions, 5 Variables
Constants Used
[g] - Gravitational acceleration on Earth Value Taken As 9.80665
Functions Used
sqrt - A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number., sqrt(Number)
Variables Used
Mean Velocity - (Measured in Meter per Second) - Mean velocity is defined as the average velocity of a fluid at a point and over an arbitrary time T.
Head Loss due to Friction - (Measured in Meter) - The Head Loss due to Friction occurs due to the effect of the fluid's viscosity near the surface of the pipe or duct.
Diameter of Pipe - (Measured in Meter) - Diameter of Pipe is the diameter of the pipe in which the liquid is flowing.
Darcy Friction Factor - Darcy Friction Factor is denoted by f. Its value depends on the flow's Reynolds number Re and on the pipe's relative roughness ε / D. It can be obtained from Moody's chart.
Length of Pipe - (Measured in Meter) - Length of Pipe describes the length of the pipe in which the liquid is flowing.
STEP 1: Convert Input(s) to Base Unit
Head Loss due to Friction: 1.9 Meter --> 1.9 Meter No Conversion Required
Diameter of Pipe: 1.01 Meter --> 1.01 Meter No Conversion Required
Darcy Friction Factor: 5 --> No Conversion Required
Length of Pipe: 0.1 Meter --> 0.1 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Vmean = sqrt((hlocation*2*[g]*Dpipe)/(f*Lp)) --> sqrt((1.9*2*[g]*1.01)/(5*0.1))
Evaluating ... ...
Vmean = 8.67616536264726
STEP 3: Convert Result to Output's Unit
8.67616536264726 Meter per Second --> No Conversion Required
FINAL ANSWER
8.67616536264726 8.676165 Meter per Second <-- Mean Velocity
(Calculation completed in 00.004 seconds)

Credits

Created by Rithik Agrawal
National Institute of Technology Karnataka (NITK), Surathkal
Rithik Agrawal has created this Calculator and 1300+ more calculators!
Verified by Chandana P Dev
NSS College of Engineering (NSSCE), Palakkad
Chandana P Dev has verified this Calculator and 1700+ more calculators!

5 Mean Velocity of Flow Calculators

Mean Velocity of Flow given Head Loss due to Frictional Resistance
Go Mean Velocity = sqrt((Head Loss due to Friction*2*[g]*Diameter of Pipe)/(Darcy Friction Factor*Length of Pipe))
Mean Velocity of Flow given Friction Factor
Go Mean Velocity = (64*Dynamic Viscosity)/(Darcy Friction Factor*Density of Fluid*Diameter of Pipe)
Mean Velocity of Flow given Total Required Power
Go Mean Velocity = Power/(Length of Pipe*Pressure Gradient*Cross Sectional Area of Pipe)
Mean Velocity of Flow given Shear Stress and Density
Go Mean Velocity = sqrt((8*Shear Stress)/(Density of Fluid*Darcy Friction Factor))
Mean Velocity of Flow given Shear Velocity
Go Mean Velocity = Shear Velocity/(sqrt(Darcy Friction Factor/8))

Mean Velocity of Flow given Head Loss due to Frictional Resistance Formula

Mean Velocity = sqrt((Head Loss due to Friction*2*[g]*Diameter of Pipe)/(Darcy Friction Factor*Length of Pipe))
Vmean = sqrt((hlocation*2*[g]*Dpipe)/(f*Lp))

What is Frictional Resistance ?

In fluid flow, friction loss (or skin friction) is the loss of pressure or “head” that occurs in pipe or duct flow due to the effect of the fluid's viscosity near the surface of the pipe or duct.

How to Calculate Mean Velocity of Flow given Head Loss due to Frictional Resistance?

Mean Velocity of Flow given Head Loss due to Frictional Resistance calculator uses Mean Velocity = sqrt((Head Loss due to Friction*2*[g]*Diameter of Pipe)/(Darcy Friction Factor*Length of Pipe)) to calculate the Mean Velocity, The Mean Velocity of Flow given Head Loss due to Frictional Resistance is defined as average velocity of stream. Mean Velocity is denoted by Vmean symbol.

How to calculate Mean Velocity of Flow given Head Loss due to Frictional Resistance using this online calculator? To use this online calculator for Mean Velocity of Flow given Head Loss due to Frictional Resistance, enter Head Loss due to Friction (hlocation), Diameter of Pipe (Dpipe), Darcy Friction Factor (f) & Length of Pipe (Lp) and hit the calculate button. Here is how the Mean Velocity of Flow given Head Loss due to Frictional Resistance calculation can be explained with given input values -> 10.7189 = sqrt((1.9*2*[g]*1.01)/(5*0.1)).

FAQ

What is Mean Velocity of Flow given Head Loss due to Frictional Resistance?
The Mean Velocity of Flow given Head Loss due to Frictional Resistance is defined as average velocity of stream and is represented as Vmean = sqrt((hlocation*2*[g]*Dpipe)/(f*Lp)) or Mean Velocity = sqrt((Head Loss due to Friction*2*[g]*Diameter of Pipe)/(Darcy Friction Factor*Length of Pipe)). The Head Loss due to Friction occurs due to the effect of the fluid's viscosity near the surface of the pipe or duct, Diameter of Pipe is the diameter of the pipe in which the liquid is flowing, Darcy Friction Factor is denoted by f. Its value depends on the flow's Reynolds number Re and on the pipe's relative roughness ε / D. It can be obtained from Moody's chart & Length of Pipe describes the length of the pipe in which the liquid is flowing.
How to calculate Mean Velocity of Flow given Head Loss due to Frictional Resistance?
The Mean Velocity of Flow given Head Loss due to Frictional Resistance is defined as average velocity of stream is calculated using Mean Velocity = sqrt((Head Loss due to Friction*2*[g]*Diameter of Pipe)/(Darcy Friction Factor*Length of Pipe)). To calculate Mean Velocity of Flow given Head Loss due to Frictional Resistance, you need Head Loss due to Friction (hlocation), Diameter of Pipe (Dpipe), Darcy Friction Factor (f) & Length of Pipe (Lp). With our tool, you need to enter the respective value for Head Loss due to Friction, Diameter of Pipe, Darcy Friction Factor & Length of Pipe and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.
How many ways are there to calculate Mean Velocity?
In this formula, Mean Velocity uses Head Loss due to Friction, Diameter of Pipe, Darcy Friction Factor & Length of Pipe. We can use 4 other way(s) to calculate the same, which is/are as follows -
  • Mean Velocity = (64*Dynamic Viscosity)/(Darcy Friction Factor*Density of Fluid*Diameter of Pipe)
  • Mean Velocity = sqrt((8*Shear Stress)/(Density of Fluid*Darcy Friction Factor))
  • Mean Velocity = Shear Velocity/(sqrt(Darcy Friction Factor/8))
  • Mean Velocity = Power/(Length of Pipe*Pressure Gradient*Cross Sectional Area of Pipe)
Let Others Know
Facebook
Twitter
Reddit
LinkedIn
Email
WhatsApp
Copied!