Discharge in Equivalent Pipe Calculator

✖Loss of Head in Equivalent Pipe is defined as the head loss in a pipe of uniform diameter compounding for head loss in several pipes of different lengths and diameters.ⓘ Loss of Head in Equivalent Pipe [H_loss]			+10% -10%
✖Diameter of equivalent Pipe is the diameter of the pipe that can be used in place of several other pipes of different lengths and diameters.ⓘ Diameter of Equivalent Pipe [D_eq]			+10% -10%
✖Coefficient of Friction of Pipe is the measure of the amount of friction existing between the pipe surface and the flowing liquid.ⓘ Coefficient of Friction of Pipe [μ]			+10% -10%
✖Length of Pipe describes the length of the pipe in which the liquid is flowing.ⓘ Length of Pipe [L]			+10% -10%

✖Discharge through pipe is the rate of flow of a liquid through a pipe.ⓘ Discharge in Equivalent Pipe [Q]

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Formula

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Discharge in Equivalent Pipe

Formula

`"Q" = sqrt(("H"_{"loss"}*(pi^2)*2*("D"_{"eq"}^5)*"[g]")/(4*16*"μ"*"L"))`

Example

`"0.02483m³/s"=sqrt(("20m"*(pi^2)*2*(("0.165m")^5)*"[g]")/(4*16*"0.01"*"1200m"))`

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Discharge in Equivalent Pipe Solution

STEP 0: Pre-Calculation Summary

Formula Used

Discharge through Pipe = sqrt((Loss of Head in Equivalent Pipe*(pi^2)*2*(Diameter of Equivalent Pipe^5)*[g])/(4*16*Coefficient of Friction of Pipe*Length of Pipe))
Q = sqrt((H_loss*(pi^2)*2*(D_eq^5)*[g])/(4*16*μ*L))
This formula uses 2 Constants, 1 Functions, 5 Variables

Constants Used

[g] - Gravitational acceleration on Earth Value Taken As 9.80665
pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

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

Discharge through Pipe - (Measured in Cubic Meter per Second) - Discharge through pipe is the rate of flow of a liquid through a pipe.
Loss of Head in Equivalent Pipe - (Measured in Meter) - Loss of Head in Equivalent Pipe is defined as the head loss in a pipe of uniform diameter compounding for head loss in several pipes of different lengths and diameters.
Diameter of Equivalent Pipe - (Measured in Meter) - Diameter of equivalent Pipe is the diameter of the pipe that can be used in place of several other pipes of different lengths and diameters.
Coefficient of Friction of Pipe - Coefficient of Friction of Pipe is the measure of the amount of friction existing between the pipe surface and the flowing liquid.
Length of Pipe - (Measured in Meter) - Length of Pipe describes the length of the pipe in which the liquid is flowing.

STEP 1: Convert Input(s) to Base Unit

Loss of Head in Equivalent Pipe: 20 Meter --> 20 Meter No Conversion Required
Diameter of Equivalent Pipe: 0.165 Meter --> 0.165 Meter No Conversion Required
Coefficient of Friction of Pipe: 0.01 --> No Conversion Required
Length of Pipe: 1200 Meter --> 1200 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

Q = sqrt((H_loss*(pi^2)*2*(D_eq^5)*[g])/(4*16*μ*L)) --> sqrt((20*(pi^2)*2*(0.165^5)*[g])/(4*16*0.01*1200))

Evaluating ... ...

Q = 0.0248295847609661

STEP 3: Convert Result to Output's Unit

0.0248295847609661 Cubic Meter per Second --> No Conversion Required

FINAL ANSWER

0.0248295847609661 ≈ 0.02483 Cubic Meter per Second <-- Discharge through Pipe

(Calculation completed in 00.004 seconds)

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Home » Physics » Fluid Mechanics » Properties of Surfaces and Solids » Closed Channel » Flow Regime » Discharge in Equivalent Pipe

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PSG College of Technology (PSGCT), Coimbatore

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Indian Institute of Technology (IIT), Bombay

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< 17 Flow Regime Calculators

Velocity of Flow at Outlet of Nozzle

Go Flow Velocity through Pipe = sqrt(2*[g]*Head at Base of Nozzle/(1+(4*Coefficient of Friction of Pipe*Length of Pipe*(Nozzle Area at Outlet^2)/(Diameter of Pipe*(Cross Sectional Area of Pipe^2)))))

Velocity of Fluid for Head Loss due to Obstruction in Pipe

Go Flow Velocity through Pipe = (sqrt(Loss of Head Due to Obstruction in Pipe*2*[g]))/((Cross Sectional Area of Pipe/(Coefficient of Contraction in Pipe*(Cross Sectional Area of Pipe-Maximum Area of Obstruction)))-1)

Discharge in Equivalent Pipe

Go Discharge through Pipe = sqrt((Loss of Head in Equivalent Pipe*(pi^2)*2*(Diameter of Equivalent Pipe^5)*[g])/(4*16*Coefficient of Friction of Pipe*Length of Pipe))

Velocity of liquid at vena-contracta

Go Velocity of Liquid Vena Contracta = (Cross Sectional Area of Pipe*Flow Velocity through Pipe)/(Coefficient of Contraction in Pipe*(Cross Sectional Area of Pipe-Maximum Area of Obstruction))

Retarding force for gradual closure of valves

Go Retarding Force on Liquid in Pipe = Density of Fluid in Pipe*Cross Sectional Area of Pipe*Length of Pipe*Flow Velocity through Pipe/Time Required to Close Valve

Coefficient of contraction for sudden contraction

Go Coefficient of Contraction in Pipe = Velocity of Fluid at Section 2/(Velocity of Fluid at Section 2+sqrt(Loss of Head Sudden Contraction*2*[g]))

Time required to close Valve for Gradual Closure of Valves

Go Time Required to Close Valve = (Density of Fluid in Pipe*Length of Pipe*Flow Velocity through Pipe)/Intensity of Pressure of Wave

Velocity at section 2-2 for sudden contraction

Go Velocity of Fluid at Section 2 = (sqrt(Loss of Head Sudden Contraction*2*[g]))/((1/Coefficient of Contraction in Pipe)-1)

Velocity at section 1-1 for sudden enlargement

Go Velocity of Fluid at Section 1 = Velocity of Fluid at Section 2+sqrt(Loss of Head Sudden Enlargement*2*[g])

Velocity at section 2-2 for sudden enlargement

Go Velocity of Fluid at Section 2 = Velocity of Fluid at Section 1-sqrt(Loss of Head Sudden Enlargement*2*[g])

Velocity of Flow at outlet of Nozzle for Efficiency and Head

Go Flow Velocity through Pipe = sqrt(Efficiency for Nozzle*2*[g]*Head at Base of Nozzle)

Circumferential stress developed in pipe wall

Go Circumferential Stress = (Pressure Rise at Valve*Diameter of Pipe)/(2*Thickness of Liquid Carrying Pipe)

Longitudinal Stress developed in Pipe wall

Go Longitudinal Stress = (Pressure Rise at Valve*Diameter of Pipe)/(4*Thickness of Liquid Carrying Pipe)

Velocity of fluid in pipe for head loss at entrance of pipe

Go Velocity = sqrt((Head Loss at Pipe Entrance*2*[g])/0.5)

Velocity at Outlet for Head Loss at Exit of Pipe

Go Velocity = sqrt(Head Loss at Pipe Exit*2*[g])

Time taken by pressure wave to travel

Go Time Taken to Travel = 2*Length of Pipe/Velocity of Pressure Wave

Force required to accelerate water in pipe

Go Force = Mass of Water*Acceleration of Liquid

Discharge in Equivalent Pipe Formula

What is coefficient of friction?

The coefficient of friction is the ratio defining the force that resists the motion of one body in relation to another body in contact with it.

What is an equivalent pipe?

If several pipes of different lengths and diameter are connected in series, they can be replaced by a single pipe called an equivalent pipe. This equivalent pipe of the same diameter will have the same loss head and discharge that several pipes connected in series will have.

How to Calculate Discharge in Equivalent Pipe?

Discharge in Equivalent Pipe calculator uses Discharge through Pipe = sqrt((Loss of Head in Equivalent Pipe*(pi^2)*2*(Diameter of Equivalent Pipe^5)*[g])/(4*16*Coefficient of Friction of Pipe*Length of Pipe)) to calculate the Discharge through Pipe, The Discharge in equivalent pipe formula is known while considering the head loss, coefficient of friction, length, and diameter of the equivalent pipe. Discharge through Pipe is denoted by Q symbol.

How to calculate Discharge in Equivalent Pipe using this online calculator? To use this online calculator for Discharge in Equivalent Pipe, enter Loss of Head in Equivalent Pipe (H_loss), Diameter of Equivalent Pipe (D_eq), Coefficient of Friction of Pipe (μ) & Length of Pipe (L) and hit the calculate button. Here is how the Discharge in Equivalent Pipe calculation can be explained with given input values -> 0.02483 = sqrt((20*(pi^2)*2*(0.165^5)*[g])/(4*16*0.01*1200)).

FAQ

What is Discharge in Equivalent Pipe?

The Discharge in equivalent pipe formula is known while considering the head loss, coefficient of friction, length, and diameter of the equivalent pipe and is represented as Q = sqrt((H_loss*(pi^2)*2*(D_eq^5)*[g])/(4*16*μ*L)) or Discharge through Pipe = sqrt((Loss of Head in Equivalent Pipe*(pi^2)*2*(Diameter of Equivalent Pipe^5)*[g])/(4*16*Coefficient of Friction of Pipe*Length of Pipe)). Loss of Head in Equivalent Pipe is defined as the head loss in a pipe of uniform diameter compounding for head loss in several pipes of different lengths and diameters, Diameter of equivalent Pipe is the diameter of the pipe that can be used in place of several other pipes of different lengths and diameters, Coefficient of Friction of Pipe is the measure of the amount of friction existing between the pipe surface and the flowing liquid & Length of Pipe describes the length of the pipe in which the liquid is flowing.

How to calculate Discharge in Equivalent Pipe?

The Discharge in equivalent pipe formula is known while considering the head loss, coefficient of friction, length, and diameter of the equivalent pipe is calculated using Discharge through Pipe = sqrt((Loss of Head in Equivalent Pipe*(pi^2)*2*(Diameter of Equivalent Pipe^5)*[g])/(4*16*Coefficient of Friction of Pipe*Length of Pipe)). To calculate Discharge in Equivalent Pipe, you need Loss of Head in Equivalent Pipe (H_loss), Diameter of Equivalent Pipe (D_eq), Coefficient of Friction of Pipe (μ) & Length of Pipe (L). With our tool, you need to enter the respective value for Loss of Head in Equivalent Pipe, Diameter of Equivalent Pipe, Coefficient of Friction of Pipe & Length of Pipe 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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