Diameter of Pipe given Head Loss over Length of Pipe Calculator

✖The Dynamic Viscosity refers to the internal resistance of a fluid to flow when a force is applied.ⓘ Dynamic Viscosity [μ]			+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 [V_mean]			+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 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 given Head Loss over Length of Pipe [D_pipe]

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Diameter of Pipe given Head Loss over Length of Pipe Solution

STEP 0: Pre-Calculation Summary

Formula Used

Diameter of Pipe = sqrt((32*Dynamic Viscosity*Mean Velocity*Length of Pipe)/(Specific Weight of Liquid*Head Loss due to Friction))
D_pipe = sqrt((32*μ*V_mean*L_p)/(γ_f*h))
This formula uses 1 Functions, 6 Variables

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

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.
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.
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 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.

STEP 1: Convert Input(s) to Base Unit

Dynamic Viscosity: 10.2 Poise --> 1.02 Pascal Second (Check conversion here)
Mean Velocity: 10.1 Meter per Second --> 10.1 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: 2.5 Meter --> 2.5 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

D_pipe = sqrt((32*μ*V_mean*L_p)/(γ_f*h)) --> sqrt((32*1.02*10.1*0.1)/(9810*2.5))

Evaluating ... ...

D_pipe = 0.0366632747944647

STEP 3: Convert Result to Output's Unit

0.0366632747944647 Meter --> No Conversion Required

FINAL ANSWER

0.0366632747944647 ≈ 0.036663 Meter <-- Diameter of Pipe

(Calculation completed in 00.004 seconds)

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< Hagen Poiseuille Equation Calculators

Diameter of Pipe given Pressure Drop over Length of Pipe

LaTeX 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

LaTeX 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

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

Pressure drop over length of pipe

LaTeX 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 Formula

LaTeX Go

Diameter of Pipe = sqrt((32*Dynamic Viscosity*Mean Velocity*Length of Pipe)/(Specific Weight of Liquid*Head Loss due to Friction))
D_pipe = sqrt((32*μ*V_mean*L_p)/(γ_f*h))

What is head loss in fluids?

The head, pressure, or energy (they are the same) lost by water flowing in a pipe or channel as a result of turbulence caused by the velocity of the flowing water and the roughness of the pipe, channel walls, or fittings. Water flowing in a pipe loses head as a result of friction losses.

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

Diameter of Pipe given Head Loss over Length of Pipe calculator uses Diameter of Pipe = sqrt((32*Dynamic Viscosity*Mean Velocity*Length of Pipe)/(Specific Weight of Liquid*Head Loss due to Friction)) to calculate the Diameter of Pipe, The Diameter of Pipe given Head Loss over Length of Pipe is defined as width of pipe taken for study. Diameter of Pipe is denoted by D_pipe symbol.

How to calculate Diameter of Pipe given Head Loss over Length of Pipe using this online calculator? To use this online calculator for Diameter of Pipe given Head Loss over Length of Pipe, enter Dynamic Viscosity (μ), Mean Velocity (V_mean), Length of Pipe (L_p), Specific Weight of Liquid (γ_f) & Head Loss due to Friction (h) and hit the calculate button. Here is how the Diameter of Pipe given Head Loss over Length of Pipe calculation can be explained with given input values -> 0.028985 = sqrt((32*1.02*10.1*0.1)/(9810*2.5)).

FAQ

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

The Diameter of Pipe given Head Loss over Length of Pipe is defined as width of pipe taken for study and is represented as D_pipe = sqrt((32*μ*V_mean*L_p)/(γ_f*h)) or Diameter of Pipe = sqrt((32*Dynamic Viscosity*Mean Velocity*Length of Pipe)/(Specific Weight of Liquid*Head Loss due to Friction)). The Dynamic Viscosity refers to the internal resistance of a fluid to flow when a force is applied, The Mean Velocity refers to the average speed at which fluid flows through a given cross-sectional area of a pipe or channel, 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 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.

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

The Diameter of Pipe given Head Loss over Length of Pipe is defined as width of pipe taken for study is calculated using Diameter of Pipe = sqrt((32*Dynamic Viscosity*Mean Velocity*Length of Pipe)/(Specific Weight of Liquid*Head Loss due to Friction)). To calculate Diameter of Pipe given Head Loss over Length of Pipe, you need Dynamic Viscosity (μ), Mean Velocity (V_mean), Length of Pipe (L_p), Specific Weight of Liquid (γ_f) & Head Loss due to Friction (h). With our tool, you need to enter the respective value for Dynamic Viscosity, Mean Velocity, 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, Mean Velocity, 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 = ((128*Dynamic Viscosity*Discharge in Pipe*Length of Pipe)/(pi*Specific Weight of Liquid*Head Loss due to Friction))^(1/4)

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