Specific Speed of Multi Jet Machine Calculator

✖Number of jets in a hydroelectric power plant can vary depending on the design and size of the plant. The jets are used to control the flow of water through the turbines, which generate electricity.ⓘ Number of Jets [n_J]			+10% -10%
✖Specific Speed of single jet machine is the speed at which the turbine would run if it were geometrically to a unit turbine having a diameter of one meter and a head of one meter.ⓘ Specific Speed of Single Jet Machine [N_SSJ]			+10% -10%

✖Specific Speed of Multi Jet Machine is defined as the speed at which a geometrically turbine of unit size would operate if it were capable of delivering one unit of power at a head of one unit.ⓘ Specific Speed of Multi Jet Machine [N_SMJ]

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Formula

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Specific Speed of Multi Jet Machine

Formula

`"N"_{"SMJ"} = sqrt("n"_{"J"})*"N"_{"SSJ"}`

Example

`"73.48469rev/min"=sqrt("6")*"30rev/min"`

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Specific Speed of Multi Jet Machine Solution

STEP 0: Pre-Calculation Summary

Formula Used

Specific Speed of Multi Jet Machine = sqrt(Number of Jets)*Specific Speed of Single Jet Machine
N_SMJ = sqrt(n_J)*N_SSJ
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

Specific Speed of Multi Jet Machine - (Measured in Radian per Second) - Specific Speed of Multi Jet Machine is defined as the speed at which a geometrically turbine of unit size would operate if it were capable of delivering one unit of power at a head of one unit.
Number of Jets - Number of jets in a hydroelectric power plant can vary depending on the design and size of the plant. The jets are used to control the flow of water through the turbines, which generate electricity.
Specific Speed of Single Jet Machine - (Measured in Radian per Second) - Specific Speed of single jet machine is the speed at which the turbine would run if it were geometrically to a unit turbine having a diameter of one meter and a head of one meter.

STEP 1: Convert Input(s) to Base Unit

Number of Jets: 6 --> No Conversion Required
Specific Speed of Single Jet Machine: 30 Revolution per Minute --> 3.14159265342981 Radian per Second (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

N_SMJ = sqrt(n_J)*N_SSJ --> sqrt(6)*3.14159265342981

Evaluating ... ...

N_SMJ = 7.69529898057931

STEP 3: Convert Result to Output's Unit

7.69529898057931 Radian per Second -->73.4846922834953 Revolution per Minute (Check conversion here)

FINAL ANSWER

73.4846922834953 ≈ 73.48469 Revolution per Minute <-- Specific Speed of Multi Jet Machine

(Calculation completed in 00.004 seconds)

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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

Specific Speed of Multi Jet Machine Formula

Specific Speed of Multi Jet Machine = sqrt(Number of Jets)*Specific Speed of Single Jet Machine
N_SMJ = sqrt(n_J)*N_SSJ

What is the range of speed of Hydro Power Plant?

Most hydro power plants use either Francis, Kaplan, or Pelton turbines, each of which has a different operating range. Generally speaking, Francis turbines operate at speeds between 100 and 600 revolutions per minute (rpm), while Kaplan turbines operate at speeds between 100 and 250 rpm. Pelton turbines, on the other hand, operate at much higher speeds, typically between 500 and 1,500 rpm.

How to Calculate Specific Speed of Multi Jet Machine?

Specific Speed of Multi Jet Machine calculator uses Specific Speed of Multi Jet Machine = sqrt(Number of Jets)*Specific Speed of Single Jet Machine to calculate the Specific Speed of Multi Jet Machine, The Specific Speed of Multi Jet Machine formula is defined as a measure of its hydraulic performance. The specific speed of the machine depends on the design of the nozzles, impeller, and other components. Specific Speed of Multi Jet Machine is denoted by N_SMJ symbol.

How to calculate Specific Speed of Multi Jet Machine using this online calculator? To use this online calculator for Specific Speed of Multi Jet Machine, enter Number of Jets (n_J) & Specific Speed of Single Jet Machine (N_SSJ) and hit the calculate button. Here is how the Specific Speed of Multi Jet Machine calculation can be explained with given input values -> 701.7271 = sqrt(6)*3.14159265342981.

FAQ

What is Specific Speed of Multi Jet Machine?

The Specific Speed of Multi Jet Machine formula is defined as a measure of its hydraulic performance. The specific speed of the machine depends on the design of the nozzles, impeller, and other components and is represented as N_SMJ = sqrt(n_J)*N_SSJ or Specific Speed of Multi Jet Machine = sqrt(Number of Jets)*Specific Speed of Single Jet Machine. Number of jets in a hydroelectric power plant can vary depending on the design and size of the plant. The jets are used to control the flow of water through the turbines, which generate electricity & Specific Speed of single jet machine is the speed at which the turbine would run if it were geometrically to a unit turbine having a diameter of one meter and a head of one meter.

How to calculate Specific Speed of Multi Jet Machine?

The Specific Speed of Multi Jet Machine formula is defined as a measure of its hydraulic performance. The specific speed of the machine depends on the design of the nozzles, impeller, and other components is calculated using Specific Speed of Multi Jet Machine = sqrt(Number of Jets)*Specific Speed of Single Jet Machine. To calculate Specific Speed of Multi Jet Machine, you need Number of Jets (n_J) & Specific Speed of Single Jet Machine (N_SSJ). With our tool, you need to enter the respective value for Number of Jets & Specific Speed of Single Jet Machine 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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