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

✖The Head Loss due to Friction refers to the loss of energy (or pressure) that occurs when a fluid flows through a pipe or duct due to the resistance created by the surface of the pipe.ⓘ Head Loss due to Friction [h]			+10% -10%
✖The Diameter of Pipe refers to the diameter of the pipe in which the liquid is flowing.ⓘ Diameter of Pipe [D_pipe]			+10% -10%
✖The Darcy Friction Factor refers to the dimensionless quantity used in fluid mechanics to describe the frictional losses in pipe flow and open-channel flow.ⓘ Darcy Friction Factor [f]			+10% -10%
✖The Length of Pipe refers to total length from one end to another in which the liquid is flowing.ⓘ Length of Pipe [L_p]			+10% -10%

✖The Mean Velocity refers to the average speed at which fluid flows through a given cross-sectional area of a pipe or channel.ⓘ Mean Velocity of Flow given Head Loss due to Frictional Resistance [V_mean]

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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))
V_mean = sqrt((h*2*[g]*D_pipe)/(f*L_p))
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) - The Mean Velocity refers to the average speed at which fluid flows through a given cross-sectional area of a pipe or channel.
Head Loss due to Friction - (Measured in Meter) - The Head Loss due to Friction refers to the loss of energy (or pressure) that occurs when a fluid flows through a pipe or duct due to the resistance created by the surface of the pipe.
Diameter of Pipe - (Measured in Meter) - The Diameter of Pipe refers to the diameter of the pipe in which the liquid is flowing.
Darcy Friction Factor - The Darcy Friction Factor refers to the dimensionless quantity used in fluid mechanics to describe the frictional losses in pipe flow and open-channel flow.
Length of Pipe - (Measured in Meter) - The Length of Pipe refers to total length from one end to another in which the liquid is flowing.

STEP 1: Convert Input(s) to Base Unit

Head Loss due to Friction: 2.5 Meter --> 2.5 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

V_mean = sqrt((h*2*[g]*D_pipe)/(f*L_p)) --> sqrt((2.5*2*[g]*1.01)/(5*0.1))

Evaluating ... ...

V_mean = 9.95224421927034

STEP 3: Convert Result to Output's Unit

9.95224421927034 Meter per Second --> No Conversion Required

FINAL ANSWER

9.95224421927034 ≈ 9.952244 Meter per Second <-- Mean Velocity

(Calculation completed in 00.020 seconds)

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< Mean Velocity of Flow Calculators

Mean Velocity of Flow given Head Loss due to Frictional Resistance

LaTeX 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

LaTeX Go Mean Velocity = (64*Dynamic Viscosity)/(Darcy Friction Factor*Density of Fluid*Diameter of Pipe)

Mean Velocity of Fluid Flow

LaTeX Go Mean Velocity = (1/(8*Dynamic Viscosity))*Pressure Gradient*Radius of pipe^2

Mean Velocity of Flow given Maximum Velocity at Axis of Cylindrical Element

LaTeX Go Mean Velocity = 0.5*Maximum Velocity

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

LaTeX Go

Mean Velocity = sqrt((Head Loss due to Friction*2*[g]*Diameter of Pipe)/(Darcy Friction Factor*Length of Pipe))
V_mean = sqrt((h*2*[g]*D_pipe)/(f*L_p))

What is Frictional Resistance ?

Frictional resistance refers to the force that opposes the motion of a fluid or an object as it moves through a medium or along a surface. In the context of fluid dynamics, frictional resistance occurs when a fluid (like water, air, or oil) flows through a pipe, conduit, or any channel, and its interaction with the surface of the material creates resistance, resulting in energy loss.

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 V_mean 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 (h), Diameter of Pipe (D_pipe), Darcy Friction Factor (f) & Length of Pipe (L_p) 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 -> 12.5887 = sqrt((2.5*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 V_mean = sqrt((h*2*[g]*D_pipe)/(f*L_p)) 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 refers to the loss of energy (or pressure) that occurs when a fluid flows through a pipe or duct due to the resistance created by the surface of the pipe, The Diameter of Pipe refers to the diameter of the pipe in which the liquid is flowing, The Darcy Friction Factor refers to the dimensionless quantity used in fluid mechanics to describe the frictional losses in pipe flow and open-channel flow & The Length of Pipe refers to total length from one end to another 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 (h), Diameter of Pipe (D_pipe), Darcy Friction Factor (f) & Length of Pipe (L_p). 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 3 other way(s) to calculate the same, which is/are as follows -

Mean Velocity = (1/(8*Dynamic Viscosity))*Pressure Gradient*Radius of pipe^2
Mean Velocity = 0.5*Maximum Velocity
Mean Velocity = (64*Dynamic Viscosity)/(Darcy Friction Factor*Density of Fluid*Diameter of Pipe)

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