Unit Speed of Turbine Solution

STEP 0: Pre-Calculation Summary
Formula Used
Unit Speed = (Working Speed)/sqrt(Fall Height)
Nu = (N)/sqrt(H)
This formula uses 1 Functions, 3 Variables
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
Unit Speed - Unit speed is defined as the speed of a geometrically similar turbine working under a head of 1m.
Working Speed - (Measured in Radian per Second) - Working speed of a hydroelectric plant depends on various factors such as the design of the plant, the type of turbines used, the head and flow rate of water, and the desired electrical output.
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
Working Speed: 350 Revolution per Minute --> 36.6519142900145 Radian per Second (Check conversion here)
Fall Height: 250 Meter --> 250 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Nu = (N)/sqrt(H) --> (36.6519142900145)/sqrt(250)
Evaluating ... ...
Nu = 2.31807059523438
STEP 3: Convert Result to Output's Unit
2.31807059523438 --> No Conversion Required
FINAL ANSWER
2.31807059523438 2.318071 <-- Unit Speed
(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

Unit Speed of Turbine Formula

Unit Speed = (Working Speed)/sqrt(Fall Height)
Nu = (N)/sqrt(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 Unit Speed of Turbine?

Unit Speed of Turbine calculator uses Unit Speed = (Working Speed)/sqrt(Fall Height) to calculate the Unit Speed, The Unit Speed of Turbine formula is defined as the speed of a geometrically similar turbine working under a head of 1m. Unit Speed is denoted by Nu symbol.

How to calculate Unit Speed of Turbine using this online calculator? To use this online calculator for Unit Speed of Turbine, enter Working Speed (N) & Fall Height (H) and hit the calculate button. Here is how the Unit Speed of Turbine calculation can be explained with given input values -> 2.318071 = (36.6519142900145)/sqrt(250).

FAQ

What is Unit Speed of Turbine?
The Unit Speed of Turbine formula is defined as the speed of a geometrically similar turbine working under a head of 1m and is represented as Nu = (N)/sqrt(H) or Unit Speed = (Working Speed)/sqrt(Fall Height). Working speed of a hydroelectric plant depends on various factors such as the design of the plant, the type of turbines used, the head and flow rate of water, and the desired electrical output & 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 Unit Speed of Turbine?
The Unit Speed of Turbine formula is defined as the speed of a geometrically similar turbine working under a head of 1m is calculated using Unit Speed = (Working Speed)/sqrt(Fall Height). To calculate Unit Speed of Turbine, you need Working Speed (N) & Fall Height (H). With our tool, you need to enter the respective value for Working Speed & 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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