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Average Velocity of Flow given Head Loss Formula

GoAverage Velocity of Flow given Internal Radius of Pipe Formula

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Average Velocity in Pipe Fluid Flow is the total volumetric flow rate divided by the cross-sectional area of the pipe. Check FAQs

v avg = \sqrt{\frac{h f \cdot 2 \cdot [g] \cdot D p}{4 \cdot f \cdot L p}}

v_avg - Average Velocity in Pipe Fluid Flow?h_f - Head Loss?D_p - Diameter of Pipe?f - Darcy's Coefficient of Friction?L_p - Length of Pipe?[g] - Gravitational acceleration on Earth?

Average Velocity of Flow given Head Loss Example

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Here is how the Average Velocity of Flow given Head Loss equation looks like with Values.

Here is how the Average Velocity of Flow given Head Loss equation looks like with Units.

Here is how the Average Velocity of Flow given Head Loss equation looks like.

4.5739 = \sqrt{\frac{1.2 \cdot 2 \cdot 9.8066 \cdot 0.4}{4 \cdot 0.045 \cdot 2.5}}

4.5739m/s = \sqrt{\frac{1.2m \cdot 2 \cdot 9.8066m/s² \cdot 0.4m}{4 \cdot 0.045 \cdot 2.5m}}

4.5739 = \sqrt{\frac{1.2 \cdot 2 \cdot 9.8066 \cdot 0.4}{4 \cdot 0.045 \cdot 2.5}}

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Average Velocity of Flow given Head Loss Solution

Follow our step by step solution on how to calculate Average Velocity of Flow given Head Loss?

FIRST Step Consider the formula

v avg = \sqrt{\frac{h f \cdot 2 \cdot [g] \cdot D p}{4 \cdot f \cdot L p}}

Next Step Substitute values of Variables

∴

v avg = \sqrt{\frac{1.2m \cdot 2 \cdot [g] \cdot 0.4m}{4 \cdot 0.045 \cdot 2.5m}}

Next Step Substitute values of Constants

∴

v avg = \sqrt{\frac{1.2m \cdot 2 \cdot 9.8066m/s² \cdot 0.4m}{4 \cdot 0.045 \cdot 2.5m}}

Next Step Prepare to Evaluate

∴

v avg = \sqrt{\frac{1.2 \cdot 2 \cdot 9.8066 \cdot 0.4}{4 \cdot 0.045 \cdot 2.5}}

Next Step Evaluate

∴

v avg = 4.57393193361394m/s

LAST Step Rounding Answer

∴

v avg = 4.5739m/s

Average Velocity of Flow given Head Loss Formula Elements

Variables

Constants

Functions

Average Velocity in Pipe Fluid Flow

Average Velocity in Pipe Fluid Flow is the total volumetric flow rate divided by the cross-sectional area of the pipe.

Symbol: v_avg

Measurement: SpeedUnit: m/s

Note: Value should be greater than 0.

Formulas to find Average Velocity in Pipe Fluid Flow

Head Loss

Head Loss is a measure of the reduction in the total head (sum of elevation head, velocity head and pressure head) of the fluid as it moves through a fluid system.

Symbol: h_f

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Head Loss

Diameter of Pipe

Diameter of Pipe is the diameter of the pipe in which the liquid is flowing.

Symbol: D_p

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Diameter of Pipe

Darcy's Coefficient of Friction

Darcy's Coefficient of Friction refers to a parameter used to characterize the flow of water or other fluids through porous media, such as soil or rock.

Symbol: f

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Darcy's Coefficient of Friction

Length of Pipe

Length of Pipe describes the length of the pipe in which the liquid is flowing.

Symbol: L_p

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Length of Pipe

Gravitational acceleration on Earth

Gravitational acceleration on Earth means that the velocity of an object in free fall will increase by 9.8 m/s2 every second.

Symbol: [g]

Value: 9.80665 m/s²

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.

Syntax: sqrt(Number)

Other Formulas to find Average Velocity in Pipe Fluid Flow

Go Average Velocity of Flow given Internal Radius of Pipe

v avg = \sqrt{\frac{h f \cdot [g] \cdot R}{f \cdot L p}}

Other formulas in Darcy's Weisbach Equation category

Go Head Loss due to Friction by Darcy Weisbach Equation

h f = \frac{4 \cdot f \cdot L p \cdot {(v avg)}^{2}}{2 \cdot [g] \cdot D p}

Go Darcy's Coefficient of Friction given Head Loss

f = \frac{h f \cdot 2 \cdot [g] \cdot D p}{4 \cdot L p \cdot {(v avg)}^{2}}

Go Length of Pipe given Head Loss due to Friction

L p = \frac{h f \cdot 2 \cdot [g] \cdot D p}{4 \cdot f \cdot {(v avg)}^{2}}

Go Internal Diameter of Pipe given Head Loss

D p = \frac{4 \cdot f \cdot L p \cdot {(v avg)}^{2}}{2 \cdot [g] \cdot h f}

How to Evaluate Average Velocity of Flow given Head Loss?

Average Velocity of Flow given Head Loss evaluator uses Average Velocity in Pipe Fluid Flow = sqrt((Head Loss*2*[g]*Diameter of Pipe)/(4*Darcy's Coefficient of Friction*Length of Pipe)) to evaluate the Average Velocity in Pipe Fluid Flow, The Average Velocity of Flow given Head Loss is defined as the value of the additional capacity or capability of fire pumps beyond what is required for normal operations, when we have prior information of head loss. Average Velocity in Pipe Fluid Flow is denoted by v_avg symbol.

How to evaluate Average Velocity of Flow given Head Loss using this online evaluator? To use this online evaluator for Average Velocity of Flow given Head Loss, enter Head Loss (h_f), Diameter of Pipe (D_p), Darcy's Coefficient of Friction (f) & Length of Pipe (L_p) and hit the calculate button.

FAQs on Average Velocity of Flow given Head Loss

What is the formula to find Average Velocity of Flow given Head Loss?

The formula of Average Velocity of Flow given Head Loss is expressed as Average Velocity in Pipe Fluid Flow = sqrt((Head Loss*2*[g]*Diameter of Pipe)/(4*Darcy's Coefficient of Friction*Length of Pipe)). Here is an example- 4.573932 = sqrt((1.2*2*[g]*0.4)/(4*0.045*2.5)).

How to calculate Average Velocity of Flow given Head Loss?

With Head Loss (h_f), Diameter of Pipe (D_p), Darcy's Coefficient of Friction (f) & Length of Pipe (L_p) we can find Average Velocity of Flow given Head Loss using the formula - Average Velocity in Pipe Fluid Flow = sqrt((Head Loss*2*[g]*Diameter of Pipe)/(4*Darcy's Coefficient of Friction*Length of Pipe)). This formula also uses Gravitational acceleration on Earth constant(s) and Square Root (sqrt) function(s).

What are the other ways to Calculate Average Velocity in Pipe Fluid Flow?

Here are the different ways to Calculate Average Velocity in Pipe Fluid Flow-

Average Velocity in Pipe Fluid Flow=sqrt((Head Loss*[g]*Pipe Radius)/(Darcy's Coefficient of Friction*Length of Pipe))

Can the Average Velocity of Flow given Head Loss be negative?

No, the Average Velocity of Flow given Head Loss, measured in Speed cannot be negative.

Which unit is used to measure Average Velocity of Flow given Head Loss?

Average Velocity of Flow given Head Loss is usually measured using the Meter per Second[m/s] for Speed. Meter per Minute[m/s], Meter per Hour[m/s], Kilometer per Hour[m/s] are the few other units in which Average Velocity of Flow given Head Loss can be measured.

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Average Velocity of Flow given Head Loss Formula

​GoAverage Velocity of Flow given Internal Radius of Pipe Formula

Average Velocity of Flow given Head Loss Example

Average Velocity of Flow given Head Loss Solution

Average Velocity of Flow given Head Loss Formula Elements

Other Formulas to find Average Velocity in Pipe Fluid Flow

Other formulas in Darcy's Weisbach Equation category

How to Evaluate Average Velocity of Flow given Head Loss?

FAQs on Average Velocity of Flow given Head Loss

Variable Name

GoAverage Velocity of Flow given Internal Radius of Pipe Formula