Internal Diameter of Pipe given Head Loss Calculator

✖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.ⓘ Darcy's Coefficient of Friction [f]			+10% -10%
✖Length of Pipe describes the length of the pipe in which the liquid is flowing.ⓘ Length of Pipe [L_p]			+10% -10%
✖Average velocity in pipe fluid flow is the total volumetric flow rate divided by the cross-sectional area of the pipe.ⓘ Average Velocity in Pipe Fluid Flow [v_avg]			+10% -10%
✖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.ⓘ Head Loss [h_f]			+10% -10%

✖Diameter of Pipe is the diameter of the pipe in which the liquid is flowing.ⓘ Internal Diameter of Pipe given Head Loss [D_p]

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Formula

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Internal Diameter of Pipe given Head Loss

Formula

`"D"_{"p"} = (4*"f"*"L"_{"p"}*("v"_{"avg"})^2)/(2*"[g]"*"h"_{"f"})`

Example

`"0.399313m"=(4*"0.045"*"2.5m"*("4.57m/s")^2)/(2*"[g]"*"1.2m")`

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Internal Diameter of Pipe given Head Loss Solution

STEP 0: Pre-Calculation Summary

Formula Used

Diameter of Pipe = (4*Darcy's Coefficient of Friction*Length of Pipe*(Average Velocity in Pipe Fluid Flow)^2)/(2*[g]*Head Loss)
D_p = (4*f*L_p*(v_avg)^2)/(2*[g]*h_f)
This formula uses 1 Constants, 5 Variables

Constants Used

[g] - Gravitational acceleration on Earth Value Taken As 9.80665

Variables Used

Diameter of Pipe - (Measured in Meter) - Diameter of Pipe is the diameter of the pipe in which the liquid is flowing.
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.
Length of Pipe - (Measured in Meter) - Length of Pipe describes the length of the pipe in which the liquid is flowing.
Average Velocity in Pipe Fluid Flow - (Measured in Meter per Second) - Average velocity in pipe fluid flow is the total volumetric flow rate divided by the cross-sectional area of the pipe.
Head Loss - (Measured in Meter) - 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.

STEP 1: Convert Input(s) to Base Unit

Darcy's Coefficient of Friction: 0.045 --> No Conversion Required
Length of Pipe: 2.5 Meter --> 2.5 Meter No Conversion Required
Average Velocity in Pipe Fluid Flow: 4.57 Meter per Second --> 4.57 Meter per Second No Conversion Required
Head Loss: 1.2 Meter --> 1.2 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

D_p = (4*f*L_p*(v_avg)^2)/(2*[g]*h_f) --> (4*0.045*2.5*(4.57)^2)/(2*[g]*1.2)

Evaluating ... ...

D_p = 0.399312583807926

STEP 3: Convert Result to Output's Unit

0.399312583807926 Meter --> No Conversion Required

FINAL ANSWER

0.399312583807926 ≈ 0.399313 Meter <-- Diameter of Pipe

(Calculation completed in 00.004 seconds)

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Home » Engineering » Civil » Environmental Engineering » Distribution of Water » Pipe Hydraulics » Darcy's Weisbach Equation » Internal Diameter of Pipe given Head Loss

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Created by Suraj Kumar

Birsa Institute of Technology (BIT), Sindri

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< 10+ Darcy's Weisbach Equation Calculators

Average Velocity of Flow given Head Loss

Go Average Velocity in Pipe Fluid Flow = sqrt((Head Loss*2*[g]*Diameter of Pipe)/(4*Darcy's Coefficient of Friction*Length of Pipe))

Average Velocity of Flow given Internal Radius of Pipe

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

Head Loss due to Friction by Darcy Weisbach Equation

Go Head Loss = (4*Darcy's Coefficient of Friction*Length of Pipe*(Average Velocity in Pipe Fluid Flow)^2)/(2*[g]*Diameter of Pipe)

Darcy's Coefficient of Friction given Head Loss

Go Darcy's Coefficient of Friction = (Head Loss*2*[g]*Diameter of Pipe)/(4*Length of Pipe*(Average Velocity in Pipe Fluid Flow)^2)

Length of Pipe given Head Loss due to Friction

Go Length of Pipe = (Head Loss*2*[g]*Diameter of Pipe)/(4*Darcy's Coefficient of Friction*(Average Velocity in Pipe Fluid Flow)^2)

Internal Diameter of Pipe given Head Loss

Go Diameter of Pipe = (4*Darcy's Coefficient of Friction*Length of Pipe*(Average Velocity in Pipe Fluid Flow)^2)/(2*[g]*Head Loss)

Darcy's Coefficient of Friction given Internal Radius of Pipe

Go Darcy's Coefficient of Friction = (Head Loss*[g]*Pipe Radius)/(Length of Pipe*(Average Velocity in Pipe Fluid Flow)^2)

Head Loss due to Friction given Internal Radius of Pipe

Go Head Loss = (Darcy's Coefficient of Friction*Length of Pipe*(Average Velocity in Pipe Fluid Flow)^2)/([g]*Pipe Radius)

Length of Pipe given Internal Radius of Pipe

Go Length of Pipe = (Head Loss*[g]*Pipe Radius)/(Darcy's Coefficient of Friction*(Average Velocity in Pipe Fluid Flow)^2)

Internal Radius of Pipe given Head Loss

Go Pipe Radius = (Darcy's Coefficient of Friction*Length of Pipe*(Average Velocity in Pipe Fluid Flow)^2)/([g]*Head Loss)

Internal Diameter of Pipe given Head Loss Formula

Diameter of Pipe = (4*Darcy's Coefficient of Friction*Length of Pipe*(Average Velocity in Pipe Fluid Flow)^2)/(2*[g]*Head Loss)
D_p = (4*f*L_p*(v_avg)^2)/(2*[g]*h_f)

What is 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. Head loss is unavoidable in real fluids.

How to Calculate Internal Diameter of Pipe given Head Loss?

Internal Diameter of Pipe given Head Loss calculator uses Diameter of Pipe = (4*Darcy's Coefficient of Friction*Length of Pipe*(Average Velocity in Pipe Fluid Flow)^2)/(2*[g]*Head Loss) to calculate the Diameter of Pipe, The Internal Diameter of Pipe given Head Loss is defined as the value of internal diameter when we have prior information of head loss. Diameter of Pipe is denoted by D_p symbol.

How to calculate Internal Diameter of Pipe given Head Loss using this online calculator? To use this online calculator for Internal Diameter of Pipe given Head Loss, enter Darcy's Coefficient of Friction (f), Length of Pipe (L_p), Average Velocity in Pipe Fluid Flow (v_avg) & Head Loss (h_f) and hit the calculate button. Here is how the Internal Diameter of Pipe given Head Loss calculation can be explained with given input values -> 0.399313 = (4*0.045*2.5*(4.57)^2)/(2*[g]*1.2).

FAQ

What is Internal Diameter of Pipe given Head Loss?

The Internal Diameter of Pipe given Head Loss is defined as the value of internal diameter when we have prior information of head loss and is represented as D_p = (4*f*L_p*(v_avg)^2)/(2*[g]*h_f) or Diameter of Pipe = (4*Darcy's Coefficient of Friction*Length of Pipe*(Average Velocity in Pipe Fluid Flow)^2)/(2*[g]*Head Loss). 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, Length of Pipe describes the length of the pipe in which the liquid is flowing, Average velocity in pipe fluid flow is the total volumetric flow rate divided by the cross-sectional area of the pipe & 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.

How to calculate Internal Diameter of Pipe given Head Loss?

The Internal Diameter of Pipe given Head Loss is defined as the value of internal diameter when we have prior information of head loss is calculated using Diameter of Pipe = (4*Darcy's Coefficient of Friction*Length of Pipe*(Average Velocity in Pipe Fluid Flow)^2)/(2*[g]*Head Loss). To calculate Internal Diameter of Pipe given Head Loss, you need Darcy's Coefficient of Friction (f), Length of Pipe (L_p), Average Velocity in Pipe Fluid Flow (v_avg) & Head Loss (h_f). With our tool, you need to enter the respective value for Darcy's Coefficient of Friction, Length of Pipe, Average Velocity in Pipe Fluid Flow & Head Loss and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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