Length of Pipe given Head Loss over Length of Pipe with Discharge 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 Dynamic Viscosity refers to the internal resistance of a fluid to flow when a force is applied.ⓘ Dynamic Viscosity [μ]			+10% -10%
✖The Discharge in Pipe refers to the volume of fluid (such as water) that passes through the pipe per unit of time.ⓘ Discharge in Pipe [Q]			+10% -10%
✖The Specific Weight of Liquid refers to the weight per unit volume of that substance.ⓘ Specific Weight of Liquid [γ_f]			+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 Length of Pipe refers to total length from one end to another in which the liquid is flowing.ⓘ Length of Pipe given Head Loss over Length of Pipe with Discharge [L_p]

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Formula

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Length of Pipe given Head Loss over Length of Pipe with Discharge

Formula

L p = \frac{h}{\frac{128 \cdot μ \cdot Q}{π \cdot γ f \cdot {D pipe}^{4}}}

Example

614.0925 m = \frac{2.5 m}{\frac{128 \cdot 10.2 P \cdot 1.000001 m³/s}{π \cdot 9.81 kN/m³ \cdot {1.01 m}^{4}}}

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Length of Pipe given Head Loss over Length of Pipe with Discharge Solution

STEP 0: Pre-Calculation Summary

Formula Used

Length of Pipe = Head Loss due to Friction/((128*Dynamic Viscosity*Discharge in Pipe)/(pi*Specific Weight of Liquid*Diameter of Pipe^4))
L_p = h/((128*μ*Q)/(pi*γ_f*D_pipe^4))
This formula uses 1 Constants, 6 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Variables Used

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.
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.
Dynamic Viscosity - (Measured in Pascal Second) - The Dynamic Viscosity refers to the internal resistance of a fluid to flow when a force is applied.
Discharge in Pipe - (Measured in Cubic Meter per Second) - The Discharge in Pipe refers to the volume of fluid (such as water) that passes through the pipe per unit of time.
Specific Weight of Liquid - (Measured in Newton per Cubic Meter) - The Specific Weight of Liquid refers to the weight per unit volume of that substance.
Diameter of Pipe - (Measured in Meter) - The Diameter of Pipe refers to the diameter of the pipe 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
Dynamic Viscosity: 10.2 Poise --> 1.02 Pascal Second (Check conversion here)
Discharge in Pipe: 1.000001 Cubic Meter per Second --> 1.000001 Cubic Meter per Second No Conversion Required
Specific Weight of Liquid: 9.81 Kilonewton per Cubic Meter --> 9810 Newton per Cubic Meter (Check conversion here)
Diameter of Pipe: 1.01 Meter --> 1.01 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

L_p = h/((128*μ*Q)/(pi*γ_f*D_pipe^4)) --> 2.5/((128*1.02*1.000001)/(pi*9810*1.01^4))

Evaluating ... ...

L_p = 614.092521010679

STEP 3: Convert Result to Output's Unit

614.092521010679 Meter --> No Conversion Required

FINAL ANSWER

614.092521010679 ≈ 614.0925 Meter <-- Length of Pipe

(Calculation completed in 00.021 seconds)

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Home » Engineering » Civil » Hydraulics and Waterworks » Laminar Flow » Steady Laminar Flow Equations » Hagen Poiseuille Equation » Length of Pipe given Head Loss over Length of Pipe with Discharge

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< Hagen Poiseuille Equation Calculators

Diameter of Pipe given Pressure Drop over Length of Pipe

Go Diameter of Pipe = sqrt((32*Dynamic Viscosity*Mean Velocity*Length of Pipe)/Pressure Difference)

Mean Velocity of Flow given Pressure Drop over Length of Pipe

Go Mean Velocity = Pressure Difference/(32*Dynamic Viscosity*Length of Pipe/(Diameter of Pipe^2))

Length of Pipe given Pressure Drop over Length of Pipe

Go Length of Pipe = (Pressure Difference*Diameter of Pipe^2)/(32*Dynamic Viscosity*Mean Velocity)

Pressure drop over length of pipe

Go Pressure Difference = (32*Dynamic Viscosity*Mean Velocity*Length of Pipe/(Diameter of Pipe^2))

Length of Pipe given Head Loss over Length of Pipe with Discharge Formula

Length of Pipe = Head Loss due to Friction/((128*Dynamic Viscosity*Discharge in Pipe)/(pi*Specific Weight of Liquid*Diameter of Pipe^4))
L_p = h/((128*μ*Q)/(pi*γ_f*D_pipe^4))

What is Head Loss ?

In fluid flow, friction loss 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 Length of Pipe given Head Loss over Length of Pipe with Discharge?

Length of Pipe given Head Loss over Length of Pipe with Discharge calculator uses Length of Pipe = Head Loss due to Friction/((128*Dynamic Viscosity*Discharge in Pipe)/(pi*Specific Weight of Liquid*Diameter of Pipe^4)) to calculate the Length of Pipe, The Length of Pipe given Head Loss over Length of Pipe with Discharge is defined as total length of flow in pipe. Length of Pipe is denoted by L_p symbol.

How to calculate Length of Pipe given Head Loss over Length of Pipe with Discharge using this online calculator? To use this online calculator for Length of Pipe given Head Loss over Length of Pipe with Discharge, enter Head Loss due to Friction (h), Dynamic Viscosity (μ), Discharge in Pipe (Q), Specific Weight of Liquid (γ_f) & Diameter of Pipe (D_pipe) and hit the calculate button. Here is how the Length of Pipe given Head Loss over Length of Pipe with Discharge calculation can be explained with given input values -> 982.548 = 2.5/((128*1.02*1.000001)/(pi*9810*1.01^4)).

FAQ

What is Length of Pipe given Head Loss over Length of Pipe with Discharge?

The Length of Pipe given Head Loss over Length of Pipe with Discharge is defined as total length of flow in pipe and is represented as L_p = h/((128*μ*Q)/(pi*γ_f*D_pipe^4)) or Length of Pipe = Head Loss due to Friction/((128*Dynamic Viscosity*Discharge in Pipe)/(pi*Specific Weight of Liquid*Diameter of Pipe^4)). 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 Dynamic Viscosity refers to the internal resistance of a fluid to flow when a force is applied, The Discharge in Pipe refers to the volume of fluid (such as water) that passes through the pipe per unit of time, The Specific Weight of Liquid refers to the weight per unit volume of that substance & The Diameter of Pipe refers to the diameter of the pipe in which the liquid is flowing.

How to calculate Length of Pipe given Head Loss over Length of Pipe with Discharge?

The Length of Pipe given Head Loss over Length of Pipe with Discharge is defined as total length of flow in pipe is calculated using Length of Pipe = Head Loss due to Friction/((128*Dynamic Viscosity*Discharge in Pipe)/(pi*Specific Weight of Liquid*Diameter of Pipe^4)). To calculate Length of Pipe given Head Loss over Length of Pipe with Discharge, you need Head Loss due to Friction (h), Dynamic Viscosity (μ), Discharge in Pipe (Q), Specific Weight of Liquid (γ_f) & Diameter of Pipe (D_pipe). With our tool, you need to enter the respective value for Head Loss due to Friction, Dynamic Viscosity, Discharge in Pipe, Specific Weight of Liquid & Diameter 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 Length of Pipe?

In this formula, Length of Pipe uses Head Loss due to Friction, Dynamic Viscosity, Discharge in Pipe, Specific Weight of Liquid & Diameter of Pipe. We can use 3 other way(s) to calculate the same, which is/are as follows -

Length of Pipe = (Pressure Difference*Diameter of Pipe^2)/(32*Dynamic Viscosity*Mean Velocity)
Length of Pipe = (pi*Pressure Difference*Diameter of Pipe^4)/(128*Dynamic Viscosity*Discharge in Pipe)
Length of Pipe = Head Loss due to Friction/((32*Dynamic Viscosity*Mean Velocity)/(Specific Weight of Liquid*Diameter of Pipe^2))

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