Velocity of Flow at Outlet of Nozzle Calculator

✖Head at base of nozzle is the head of the flowing liquid at the base of the nozzle or at end of the pipe.ⓘ Head at Base of Nozzle [H_bn]			+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%
✖The Nozzle Area at Outlet is the cross section area of the nozzle outlet (tube of varying cross-sectional area aiming at increasing the speed of an outflow).ⓘ Nozzle Area at Outlet [a₂]			+10% -10%
✖Diameter of Pipe is the length of the longest chord of the pipe in which the liquid is flowing.ⓘ Diameter of Pipe [D]			+10% -10%
✖Cross Sectional Area of Pipe is the area of a two-dimensional shape that is obtained when a pipe is sliced perpendicular to some specified axis at a point.ⓘ Cross Sectional Area of Pipe [A]			+10% -10%

✖Flow Velocity through Pipe is the velocity of the flow of any fluid from the pipe.ⓘ Velocity of Flow at Outlet of Nozzle [V_f]

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Velocity of Flow at Outlet of Nozzle Solution

STEP 0: Pre-Calculation Summary

Formula Used

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)))))
V_f = sqrt(2*[g]*H_bn/(1+(4*μ*L*(a₂^2)/(D*(A^2)))))
This formula uses 1 Constants, 1 Functions, 7 Variables

Constants Used

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

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

Flow Velocity through Pipe - (Measured in Meter per Second) - Flow Velocity through Pipe is the velocity of the flow of any fluid from the pipe.
Head at Base of Nozzle - (Measured in Meter) - Head at base of nozzle is the head of the flowing liquid at the base of the nozzle or at end of the pipe.
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.
Nozzle Area at Outlet - (Measured in Square Meter) - The Nozzle Area at Outlet is the cross section area of the nozzle outlet (tube of varying cross-sectional area aiming at increasing the speed of an outflow).
Diameter of Pipe - (Measured in Meter) - Diameter of Pipe is the length of the longest chord of the pipe in which the liquid is flowing.
Cross Sectional Area of Pipe - (Measured in Square Meter) - Cross Sectional Area of Pipe is the area of a two-dimensional shape that is obtained when a pipe is sliced perpendicular to some specified axis at a point.

STEP 1: Convert Input(s) to Base Unit

Head at Base of Nozzle: 28.5 Meter --> 28.5 Meter No Conversion Required
Coefficient of Friction of Pipe: 0.01 --> No Conversion Required
Length of Pipe: 1200 Meter --> 1200 Meter No Conversion Required
Nozzle Area at Outlet: 0.000397 Square Meter --> 0.000397 Square Meter No Conversion Required
Diameter of Pipe: 0.12 Meter --> 0.12 Meter No Conversion Required
Cross Sectional Area of Pipe: 0.0113 Square Meter --> 0.0113 Square Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

V_f = sqrt(2*[g]*H_bn/(1+(4*μ*L*(a₂^2)/(D*(A^2))))) --> sqrt(2*[g]*28.5/(1+(4*0.01*1200*(0.000397^2)/(0.12*(0.0113^2)))))

Evaluating ... ...

V_f = 19.3447270428762

STEP 3: Convert Result to Output's Unit

19.3447270428762 Meter per Second --> No Conversion Required

FINAL ANSWER

19.3447270428762 ≈ 19.34473 Meter per Second <-- Flow Velocity through Pipe

(Calculation completed in 00.011 seconds)

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Home » Physics » Fluid Mechanics » Properties of Surfaces and Solids » Closed Channel » Mechanical » Flow Regime » Velocity of Flow at Outlet of Nozzle

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Created by Maiarutselvan V

PSG College of Technology (PSGCT), Coimbatore

Maiarutselvan V has created this Calculator and 300+ more calculators!

Verified by Shikha Maurya

Indian Institute of Technology (IIT), Bombay

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< Flow Regime Calculators

Velocity at section 2-2 for sudden contraction

LaTeX 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

LaTeX 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

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

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

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

Velocity of Flow at Outlet of Nozzle Formula

LaTeX Go

What is isentropic nozzle flow?

The Isentropic nozzle flow describes the movement of a gas or fluid through a narrowing opening without an increase or decrease in entropy.

What is a flow nozzle?

The flow nozzles is a flow tube consisting of a smooth convergent section leading to a cylindrical throat area.

How to Calculate Velocity of Flow at Outlet of Nozzle?

Velocity of Flow at Outlet of Nozzle calculator uses 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))))) to calculate the Flow Velocity through Pipe, The Velocity of flow at outlet of nozzle formula is known while considering the length, diameter, total head at the inlet of pipe, area of pipe, area of the nozzle at outlet and coefficient of friction. Flow Velocity through Pipe is denoted by V_f symbol.

How to calculate Velocity of Flow at Outlet of Nozzle using this online calculator? To use this online calculator for Velocity of Flow at Outlet of Nozzle, enter Head at Base of Nozzle (H_bn), Coefficient of Friction of Pipe (μ), Length of Pipe (L), Nozzle Area at Outlet (a₂), Diameter of Pipe (D) & Cross Sectional Area of Pipe (A) and hit the calculate button. Here is how the Velocity of Flow at Outlet of Nozzle calculation can be explained with given input values -> 19.34473 = sqrt(2*[g]*28.5/(1+(4*0.01*1200*(0.000397^2)/(0.12*(0.0113^2))))).

FAQ

What is Velocity of Flow at Outlet of Nozzle?

The Velocity of flow at outlet of nozzle formula is known while considering the length, diameter, total head at the inlet of pipe, area of pipe, area of the nozzle at outlet and coefficient of friction and is represented as V_f = sqrt(2*[g]*H_bn/(1+(4*μ*L*(a₂^2)/(D*(A^2))))) or 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))))). Head at base of nozzle is the head of the flowing liquid at the base of the nozzle or at end of the 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 describes the length of the pipe in which the liquid is flowing, The Nozzle Area at Outlet is the cross section area of the nozzle outlet (tube of varying cross-sectional area aiming at increasing the speed of an outflow), Diameter of Pipe is the length of the longest chord of the pipe in which the liquid is flowing & Cross Sectional Area of Pipe is the area of a two-dimensional shape that is obtained when a pipe is sliced perpendicular to some specified axis at a point.

How to calculate Velocity of Flow at Outlet of Nozzle?

The Velocity of flow at outlet of nozzle formula is known while considering the length, diameter, total head at the inlet of pipe, area of pipe, area of the nozzle at outlet and coefficient of friction is calculated using 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))))). To calculate Velocity of Flow at Outlet of Nozzle, you need Head at Base of Nozzle (H_bn), Coefficient of Friction of Pipe (μ), Length of Pipe (L), Nozzle Area at Outlet (a₂), Diameter of Pipe (D) & Cross Sectional Area of Pipe (A). With our tool, you need to enter the respective value for Head at Base of Nozzle, Coefficient of Friction of Pipe, Length of Pipe, Nozzle Area at Outlet, Diameter of Pipe & Cross Sectional Area 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 Flow Velocity through Pipe?

In this formula, Flow Velocity through Pipe uses Head at Base of Nozzle, Coefficient of Friction of Pipe, Length of Pipe, Nozzle Area at Outlet, Diameter of Pipe & Cross Sectional Area of Pipe. We can use 2 other way(s) to calculate the same, which is/are as follows -

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

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