Velocity of Jet from Nozzle Solution

STEP 0: Pre-Calculation Summary
Formula Used
Velocity of Jet = Coefficient of Velocity*sqrt(2*[g]*Fall Height)
VJ = Cv*sqrt(2*[g]*H)
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
Velocity of Jet - (Measured in Meter per Second) - Velocity of jet is depends on several factors such as the head, the flow rate of water & the size and shape of the nozzle through which the water is directed onto the turbine blades.
Coefficient of Velocity - The coefficient of velocity is defined as the ratio of actual velocity of water at the turbine inlet to the theoretical velocity of water in the absence of losses.
Fall Height - (Measured in Meter) - Fall height, is an important factor in hydroelectric power generation. It refers to the vertical distance that the water falls from the intake point to the turbine.
STEP 1: Convert Input(s) to Base Unit
Coefficient of Velocity: 0.98 --> No Conversion Required
Fall Height: 250 Meter --> 250 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
VJ = Cv*sqrt(2*[g]*H) --> 0.98*sqrt(2*[g]*250)
Evaluating ... ...
VJ = 68.6232710529016
STEP 3: Convert Result to Output's Unit
68.6232710529016 Meter per Second --> No Conversion Required
FINAL ANSWER
68.6232710529016 68.62327 Meter per Second <-- Velocity of Jet
(Calculation completed in 00.004 seconds)

Credits

Created by Nisarg
Indian Institute of Technology,Roorlee (IITR), Roorkee
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Chandigarh University (CU), Punjab
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23 Hydroelectric Power Plant Calculators

Dimensionless Specific Speed
Go Dimensionless Specific Speed = (Working Speed*sqrt(Hydroelectric Power/1000))/(sqrt(Water Density)*([g]*Fall Height)^(5/4))
Efficiency of Turbine given Energy
Go Turbine Efficiency = Energy/([g]*Water Density*Flow Rate*Fall Height*Operating Time per Year)
Energy Produced by Hydroelectric Power Plant
Go Energy = [g]*Water Density*Flow Rate*Fall Height*Turbine Efficiency*Operating Time per Year
Specific Speed of Turbine of Hydroelectric Power Plant
Go Specific Speed = (Working Speed*sqrt(Hydroelectric Power/1000))/Fall Height^(5/4)
Velocity of Jet from Nozzle
Go Velocity of Jet = Coefficient of Velocity*sqrt(2*[g]*Fall Height)
Head or Height of Fall of Water given Power
Go Fall Height = Hydroelectric Power/([g]*Water Density*Flow Rate)
Specific Speed of Single Jet Machine
Go Specific Speed of Single Jet Machine = Specific Speed of Multi Jet Machine/sqrt(Number of Jets)
Specific Speed of Multi Jet Machine
Go Specific Speed of Multi Jet Machine = sqrt(Number of Jets)*Specific Speed of Single Jet Machine
Flow Rate of Water given Power
Go Flow Rate = Hydroelectric Power/([g]*Water Density*Fall Height)
Tidal Energy
Go Tidal Power = 0.5*Area of Base*Water Density*[g]*Fall Height^2
Hydroelectric Power
Go Hydroelectric Power = [g]*Water Density*Flow Rate*Fall Height
Energy Produced by Hydroelectric Power Plant given Power
Go Energy = Hydroelectric Power*Turbine Efficiency*Operating Time per Year
Height of Fall of Pelton Wheel Turbine Power Plant
Go Fall Height = (Velocity of Jet^2)/(2*[g]*Coefficient of Velocity^2)
Diameter of Bucket
Go Bucket Circle Diameter = (60*Bucket Velocity)/(pi*Working Speed)
Speed of Bucket given Diameter and RPM
Go Bucket Velocity = (pi*Bucket Circle Diameter*Working Speed)/60
Number of Jets
Go Number of Jets = (Specific Speed of Multi Jet Machine/Specific Speed of Single Jet Machine)^2
Unit Speed of Turbine
Go Unit Speed = (Working Speed)/sqrt(Fall Height)
Speed of Turbine given Unit Speed
Go Working Speed = Unit Speed*sqrt(Fall Height)
Speed of Bucket given Angular Velocity and Radius
Go Bucket Velocity = Angular Velocity*Bucket Circle Diameter/2
Unit Power of Hydroelectric Power Plant
Go Unit Power = (Hydroelectric Power/1000)/Fall Height^(3/2)
Power given Unit Power
Go Hydroelectric Power = Unit Power*1000*Fall Height^(3/2)
Jet Ratio of Hydroelectric Power Plant
Go Jet Ratio = Bucket Circle Diameter/Nozzle Diameter
Angular Velocity of Wheel
Go Angular Velocity = (2*pi*Working Speed)/60

Velocity of Jet from Nozzle Formula

Velocity of Jet = Coefficient of Velocity*sqrt(2*[g]*Fall Height)
VJ = Cv*sqrt(2*[g]*H)

What is the working principle of Hydro Power Plant?

Hydro power plants use falling water to turn a turbine, which is connected to a generator that produces electricity. Water is stored in a reservoir, flows through a penstock, and drives the turbine, with the spinning turbine shaft connected to a generator that produces electricity.

How to Calculate Velocity of Jet from Nozzle?

Velocity of Jet from Nozzle calculator uses Velocity of Jet = Coefficient of Velocity*sqrt(2*[g]*Fall Height) to calculate the Velocity of Jet, The Velocity of Jet from Nozzle formula is defined as the speed of the jet from the nozzle. Velocity of Jet is denoted by VJ symbol.

How to calculate Velocity of Jet from Nozzle using this online calculator? To use this online calculator for Velocity of Jet from Nozzle, enter Coefficient of Velocity (Cv) & Fall Height (H) and hit the calculate button. Here is how the Velocity of Jet from Nozzle calculation can be explained with given input values -> 68.62327 = 0.98*sqrt(2*[g]*250).

FAQ

What is Velocity of Jet from Nozzle?
The Velocity of Jet from Nozzle formula is defined as the speed of the jet from the nozzle and is represented as VJ = Cv*sqrt(2*[g]*H) or Velocity of Jet = Coefficient of Velocity*sqrt(2*[g]*Fall Height). The coefficient of velocity is defined as the ratio of actual velocity of water at the turbine inlet to the theoretical velocity of water in the absence of losses & Fall height, is an important factor in hydroelectric power generation. It refers to the vertical distance that the water falls from the intake point to the turbine.
How to calculate Velocity of Jet from Nozzle?
The Velocity of Jet from Nozzle formula is defined as the speed of the jet from the nozzle is calculated using Velocity of Jet = Coefficient of Velocity*sqrt(2*[g]*Fall Height). To calculate Velocity of Jet from Nozzle, you need Coefficient of Velocity (Cv) & Fall Height (H). With our tool, you need to enter the respective value for Coefficient of Velocity & Fall Height 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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