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

✖The Dynamic Viscosity refers to the internal resistance of a fluid to flow when a force is applied.ⓘ Dynamic Viscosity [μ]			+10% -10%
✖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 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 Specific Weight of Liquid refers to the weight per unit volume of that substance.ⓘ Specific Weight of Liquid [γ_f]			+10% -10%
✖The Head Loss due to Friction occurs due to the effect of the fluid's viscosity near the surface of the pipe or duct.ⓘ Head Loss due to Friction [h_location]			+10% -10%

✖The Diameter of Pipe refers to the diameter of the pipe in which the liquid is flowing.ⓘ Diameter of Pipe given Head Loss over Length of Pipe with Discharge [D_pipe]

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Formula

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

Formula

D pipe = {(\frac{128 \cdot μ \cdot Q \cdot L p}{π \cdot γ f \cdot h location})}^{\frac{1}{4}}

Example

0.122197 m = {(\frac{128 \cdot 10.2 P \cdot 1.000001 m³/s \cdot 0.10 m}{π \cdot 9.81 kN/m³ \cdot 1.9 m})}^{\frac{1}{4}}

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

STEP 0: Pre-Calculation Summary

Formula Used

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

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Variables Used

Diameter of Pipe - (Measured in Meter) - The Diameter of Pipe refers to the diameter of the pipe in which the liquid is flowing.
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) - Discharge in Pipe refers to the volume of fluid (such as water) that passes through the pipe per unit of time.
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.
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.
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.

STEP 1: Convert Input(s) to Base Unit

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
Length of Pipe: 0.1 Meter --> 0.1 Meter No Conversion Required
Specific Weight of Liquid: 9.81 Kilonewton per Cubic Meter --> 9810 Newton per Cubic Meter (Check conversion here)
Head Loss due to Friction: 1.9 Meter --> 1.9 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

D_pipe = ((128*μ*Q*L_p)/(pi*γ_f*h_location))^(1/4) --> ((128*1.02*1.000001*0.1)/(pi*9810*1.9))^(1/4)

Evaluating ... ...

D_pipe = 0.122196712944209

STEP 3: Convert Result to Output's Unit

0.122196712944209 Meter --> No Conversion Required

FINAL ANSWER

0.122196712944209 ≈ 0.122197 Meter <-- Diameter of Pipe

(Calculation completed in 00.004 seconds)

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Home » Engineering » Civil » Hydraulics and Waterworks » Laminar Flow » Steady Laminar Flow in Circular Pipes, Hagen Poiseuille Law » Hagen Poiseuille Equation » Diameter 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))

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

Diameter of Pipe = ((128*Dynamic Viscosity*Discharge in Pipe*Length of Pipe)/(pi*Specific Weight of Liquid*Head Loss due to Friction))^(1/4)
D_pipe = ((128*μ*Q*L_p)/(pi*γ_f*h_location))^(1/4)

What is Diacharge Q?

Discharge Q, is the volume of water in cubic feet passing a flow section per unit time, usually measured in cubic feet per second (ft3/s).

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

Diameter of Pipe given Head Loss over Length of Pipe with Discharge calculator uses Diameter of Pipe = ((128*Dynamic Viscosity*Discharge in Pipe*Length of Pipe)/(pi*Specific Weight of Liquid*Head Loss due to Friction))^(1/4) to calculate the Diameter of Pipe, The Diameter of Pipe given Head Loss over Length of Pipe with Discharge is defined as width of pipe taken for study through which the fluid flows. Diameter of Pipe is denoted by D_pipe symbol.

How to calculate Diameter of Pipe given Head Loss over Length of Pipe with Discharge using this online calculator? To use this online calculator for Diameter of Pipe given Head Loss over Length of Pipe with Discharge, enter Dynamic Viscosity (μ), Discharge in Pipe (Q), Length of Pipe (L_p), Specific Weight of Liquid (γ_f) & Head Loss due to Friction (h_location) and hit the calculate button. Here is how the Diameter of Pipe given Head Loss over Length of Pipe with Discharge calculation can be explained with given input values -> 0.109938 = ((128*1.02*1.000001*0.1)/(pi*9810*1.9))^(1/4).

FAQ

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

The Diameter of Pipe given Head Loss over Length of Pipe with Discharge is defined as width of pipe taken for study through which the fluid flows and is represented as D_pipe = ((128*μ*Q*L_p)/(pi*γ_f*h_location))^(1/4) or Diameter of Pipe = ((128*Dynamic Viscosity*Discharge in Pipe*Length of Pipe)/(pi*Specific Weight of Liquid*Head Loss due to Friction))^(1/4). The Dynamic Viscosity refers to the internal resistance of a fluid to flow when a force is applied, Discharge in Pipe refers to the volume of fluid (such as water) that passes through the pipe per unit of time, The Length of Pipe refers to total length from one end to another in which the liquid is flowing, The Specific Weight of Liquid refers to the weight per unit volume of that substance & The Head Loss due to Friction occurs due to the effect of the fluid's viscosity near the surface of the pipe or duct.

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

The Diameter of Pipe given Head Loss over Length of Pipe with Discharge is defined as width of pipe taken for study through which the fluid flows is calculated using Diameter of Pipe = ((128*Dynamic Viscosity*Discharge in Pipe*Length of Pipe)/(pi*Specific Weight of Liquid*Head Loss due to Friction))^(1/4). To calculate Diameter of Pipe given Head Loss over Length of Pipe with Discharge, you need Dynamic Viscosity (μ), Discharge in Pipe (Q), Length of Pipe (L_p), Specific Weight of Liquid (γ_f) & Head Loss due to Friction (h_location). With our tool, you need to enter the respective value for Dynamic Viscosity, Discharge in Pipe, Length of Pipe, Specific Weight of Liquid & Head Loss due to Friction 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 Diameter of Pipe?

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

Diameter of Pipe = sqrt((32*Dynamic Viscosity*Mean Velocity*Length of Pipe)/Pressure Difference)
Diameter of Pipe = ((128*Dynamic Viscosity*Discharge in Pipe*Length of Pipe)/(Pressure Difference*pi))^(1/4)
Diameter of Pipe = sqrt((32*Dynamic Viscosity*Mean Velocity*Length of Pipe)/(Specific Weight of Liquid*Head Loss due to Friction))

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