Velocity of Flow at outlet of Nozzle for Efficiency and Head Solution

STEP 0: Pre-Calculation Summary
Formula Used
Flow Velocity through Pipe = sqrt(Efficiency for Nozzle*2*[g]*Head at Base of Nozzle)
Vf = sqrt(ηn*2*[g]*Hbn)
This formula uses 1 Constants, 1 Functions, 3 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.
Efficiency for Nozzle - Efficiency for nozzle is the ratio of the power at the outlet of the nozzle to the power at the inlet of 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.
STEP 1: Convert Input(s) to Base Unit
Efficiency for Nozzle: 0.8 --> No Conversion Required
Head at Base of Nozzle: 28.5 Meter --> 28.5 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Vf = sqrt(ηn*2*[g]*Hbn) --> sqrt(0.8*2*[g]*28.5)
Evaluating ... ...
Vf = 21.1467075451475
STEP 3: Convert Result to Output's Unit
21.1467075451475 Meter per Second --> No Conversion Required
FINAL ANSWER
21.1467075451475 21.14671 Meter per Second <-- Flow Velocity through Pipe
(Calculation completed in 00.004 seconds)

Credits

Created by Maiarutselvan V
PSG College of Technology (PSGCT), Coimbatore
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Verified by Shikha Maurya
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

Velocity of Flow at outlet of Nozzle for Efficiency and Head Formula

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

What is the efficiency through nozzle?

The ratio of actual change in kinetic energy across the nozzle to the ideal value for given inlet conditions. As for the ejector, the improvement of the nozzle efficiency is important because the ejector increases pressure based on the energy collected from kinetic energy in the nozzle.

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 for Efficiency and Head?

Velocity of Flow at outlet of Nozzle for Efficiency and Head calculator uses Flow Velocity through Pipe = sqrt(Efficiency for Nozzle*2*[g]*Head at Base of Nozzle) to calculate the Flow Velocity through Pipe, The Velocity of flow at outlet of nozzle for efficiency and head formula is known while considering the efficiency of power transmission through the nozzle and the total head available at the inlet of the pipe. Flow Velocity through Pipe is denoted by Vf symbol.

How to calculate Velocity of Flow at outlet of Nozzle for Efficiency and Head using this online calculator? To use this online calculator for Velocity of Flow at outlet of Nozzle for Efficiency and Head, enter Efficiency for Nozzle n) & Head at Base of Nozzle (Hbn) and hit the calculate button. Here is how the Velocity of Flow at outlet of Nozzle for Efficiency and Head calculation can be explained with given input values -> 21.14671 = sqrt(0.8*2*[g]*28.5).

FAQ

What is Velocity of Flow at outlet of Nozzle for Efficiency and Head?
The Velocity of flow at outlet of nozzle for efficiency and head formula is known while considering the efficiency of power transmission through the nozzle and the total head available at the inlet of the pipe and is represented as Vf = sqrt(ηn*2*[g]*Hbn) or Flow Velocity through Pipe = sqrt(Efficiency for Nozzle*2*[g]*Head at Base of Nozzle). Efficiency for nozzle is the ratio of the power at the outlet of the nozzle to the power at the inlet of the pipe & Head at base of nozzle is the head of the flowing liquid at the base of the nozzle or at end of the pipe.
How to calculate Velocity of Flow at outlet of Nozzle for Efficiency and Head?
The Velocity of flow at outlet of nozzle for efficiency and head formula is known while considering the efficiency of power transmission through the nozzle and the total head available at the inlet of the pipe is calculated using Flow Velocity through Pipe = sqrt(Efficiency for Nozzle*2*[g]*Head at Base of Nozzle). To calculate Velocity of Flow at outlet of Nozzle for Efficiency and Head, you need Efficiency for Nozzle n) & Head at Base of Nozzle (Hbn). With our tool, you need to enter the respective value for Efficiency for Nozzle & Head at Base of Nozzle 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 Efficiency for Nozzle & Head at Base of Nozzle. 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(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)))))
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