Head given Energy through Hydraulic Turbines Calculator

✖Energy through Hydraulic Turbines describes the power generated by the turbine.ⓘ Energy through Hydraulic Turbines [E_Turbines]			+10% -10%
✖Rate of Flow is the rate at which a liquid or other substance flows through a particular channel, pipe, etc.ⓘ Rate of Flow [q_flow]			+10% -10%
✖Efficiency of Hydropower is the ratio of useful energy output generated from water flow compared to the input energy.ⓘ Efficiency of Hydropower [η]			+10% -10%
✖Time period of progressive wave is the time taken by a wave to complete one oscillation.ⓘ Time Period of Progressive Wave [T_w]			+10% -10%
✖The Head Loss due to Friction occurs due to the effect of the fluid's viscosity near the surface of the pipe or duct.ⓘ Head Loss due to Friction [h_location]			+10% -10%

✖Head of Water is defined as the height of water columns.ⓘ Head given Energy through Hydraulic Turbines [H_Water]

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Head given Energy through Hydraulic Turbines Solution

STEP 0: Pre-Calculation Summary

Formula Used

Head of Water = (Energy through Hydraulic Turbines/(9.81*Rate of Flow*Efficiency of Hydropower*Time Period of Progressive Wave))+Head Loss due to Friction
H_Water = (E_Turbines/(9.81*q_flow*η*T_w))+h_location
This formula uses 6 Variables

Variables Used

Head of Water - (Measured in Meter) - Head of Water is defined as the height of water columns.
Energy through Hydraulic Turbines - (Measured in Joule) - Energy through Hydraulic Turbines describes the power generated by the turbine.
Rate of Flow - (Measured in Cubic Meter per Second) - Rate of Flow is the rate at which a liquid or other substance flows through a particular channel, pipe, etc.
Efficiency of Hydropower - Efficiency of Hydropower is the ratio of useful energy output generated from water flow compared to the input energy.
Time Period of Progressive Wave - (Measured in Second) - Time period of progressive wave is the time taken by a wave to complete one oscillation.
Head Loss due to Friction - (Measured in Meter) - The Head Loss due to Friction occurs due to the effect of the fluid's viscosity near the surface of the pipe or duct.

STEP 1: Convert Input(s) to Base Unit

Energy through Hydraulic Turbines: 522.36 Newton Meter --> 522.36 Joule (Check conversion here)
Rate of Flow: 32 Cubic Meter per Second --> 32 Cubic Meter per Second No Conversion Required
Efficiency of Hydropower: 0.8 --> No Conversion Required
Time Period of Progressive Wave: 2.6 Second --> 2.6 Second No Conversion Required
Head Loss due to Friction: 1.5 Meter --> 1.5 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

H_Water = (E_Turbines/(9.81*q_flow*η*T_w))+h_location --> (522.36/(9.81*32*0.8*2.6))+1.5

Evaluating ... ...

H_Water = 2.29999558927311

STEP 3: Convert Result to Output's Unit

2.29999558927311 Meter --> No Conversion Required

FINAL ANSWER

2.29999558927311 ≈ 2.299996 Meter <-- Head of Water

(Calculation completed in 00.004 seconds)

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Created by M Naveen

National Institute of Technology (NIT), Warangal

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Amount of Hydropower

LaTeX Go Amount of Hydropower = (Specific Weight of Liquid*Rate of Flow*(Head loss-Head of Water)*Efficiency of Hydropower)/1000

Head Loss given Amount of Hydropower

LaTeX Go Head Loss due to Friction = ((Amount of Hydropower/(9.81*Rate of Flow*Efficiency of Hydropower))-Head of Water)

Head given Amount of Hydropower

LaTeX Go Head of Water = (Amount of Hydropower/(9.81*Rate of Flow*Efficiency of Hydropower))+Head Loss due to Friction

Efficiency of Hydropower Station given Amount of Hydropower

LaTeX Go Efficiency of Hydropower = Amount of Hydropower/(9.81*Rate of Flow*(Head loss-Head of Water))

Head given Energy through Hydraulic Turbines Formula

LaTeX Go

What is meant by Rate of Flow of Water?

The Flow rate of a liquid is a measure of the volume of liquid that moves in a certain amount of time. The flow rate depends on the area of the section.

What are Hydraulic Turbines?

The hydraulic turbine is a prime mover that uses the energy of flowing water and converts is into the mechanical energy in the form of rotation of the runner. Since the fluid medium is water, these turbines are also known as the ' water turbines'

How to Calculate Head given Energy through Hydraulic Turbines?

Head given Energy through Hydraulic Turbines calculator uses Head of Water = (Energy through Hydraulic Turbines/(9.81*Rate of Flow*Efficiency of Hydropower*Time Period of Progressive Wave))+Head Loss due to Friction to calculate the Head of Water, The Head given Energy through Hydraulic Turbines is defined as a specific measurement of liquid pressure above vertical datum. It is usually measured as liquid surface elevation. Head of Water is denoted by H_Water symbol.

How to calculate Head given Energy through Hydraulic Turbines using this online calculator? To use this online calculator for Head given Energy through Hydraulic Turbines, enter Energy through Hydraulic Turbines (E_Turbines), Rate of Flow (q_flow), Efficiency of Hydropower (η), Time Period of Progressive Wave (T_w) & Head Loss due to Friction (h_location) and hit the calculate button. Here is how the Head given Energy through Hydraulic Turbines calculation can be explained with given input values -> 2.324944 = (522.36/(9.81*32*0.8*2.6))+1.5.

FAQ

What is Head given Energy through Hydraulic Turbines?

The Head given Energy through Hydraulic Turbines is defined as a specific measurement of liquid pressure above vertical datum. It is usually measured as liquid surface elevation and is represented as H_Water = (E_Turbines/(9.81*q_flow*η*T_w))+h_location or Head of Water = (Energy through Hydraulic Turbines/(9.81*Rate of Flow*Efficiency of Hydropower*Time Period of Progressive Wave))+Head Loss due to Friction. Energy through Hydraulic Turbines describes the power generated by the turbine, Rate of Flow is the rate at which a liquid or other substance flows through a particular channel, pipe, etc, Efficiency of Hydropower is the ratio of useful energy output generated from water flow compared to the input energy, Time period of progressive wave is the time taken by a wave to complete one oscillation & The Head Loss due to Friction occurs due to the effect of the fluid's viscosity near the surface of the pipe or duct.

How to calculate Head given Energy through Hydraulic Turbines?

The Head given Energy through Hydraulic Turbines is defined as a specific measurement of liquid pressure above vertical datum. It is usually measured as liquid surface elevation is calculated using Head of Water = (Energy through Hydraulic Turbines/(9.81*Rate of Flow*Efficiency of Hydropower*Time Period of Progressive Wave))+Head Loss due to Friction. To calculate Head given Energy through Hydraulic Turbines, you need Energy through Hydraulic Turbines (E_Turbines), Rate of Flow (q_flow), Efficiency of Hydropower (η), Time Period of Progressive Wave (T_w) & Head Loss due to Friction (h_location). With our tool, you need to enter the respective value for Energy through Hydraulic Turbines, Rate of Flow, Efficiency of Hydropower, Time Period of Progressive Wave & Head Loss due to Friction 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 Head of Water?

In this formula, Head of Water uses Energy through Hydraulic Turbines, Rate of Flow, Efficiency of Hydropower, Time Period of Progressive Wave & Head Loss due to Friction. We can use 1 other way(s) to calculate the same, which is/are as follows -

Head of Water = (Amount of Hydropower/(9.81*Rate of Flow*Efficiency of Hydropower))+Head Loss due to Friction

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