Head given Amount of Hydropower Solution

STEP 0: Pre-Calculation Summary
Formula Used
Head of Water = (Amount of Hydropower/(9.81*Rate of Flow*Efficiency of Hydropower))+Head Loss due to Friction
HWater = (P/(9.81*qflow*η))+hlocation
This formula uses 5 Variables
Variables Used
Head of Water - (Measured in Meter) - Head of Water is defined as the height of water columns.
Amount of Hydropower - (Measured in Watt) - Amount of Hydropower is a form of renewable energy that uses the water stored in dams, as well as flowing in rivers to create electricity in hydropower plants.
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.
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
Amount of Hydropower: 0.77 Kilowatt --> 770 Watt (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
Head Loss due to Friction: 1.5 Meter --> 1.5 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
HWater = (P/(9.81*qflow*η))+hlocation --> (770/(9.81*32*0.8))+1.5
Evaluating ... ...
HWater = 4.56606778797146
STEP 3: Convert Result to Output's Unit
4.56606778797146 Meter --> No Conversion Required
FINAL ANSWER
4.56606778797146 4.566068 Meter <-- Head of Water
(Calculation completed in 00.004 seconds)

Credits

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National Institute of Technology (NIT), Warangal
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11 Assessment of Available Power Calculators

Head Loss given Energy through Hydraulic Turbines
Go Head Loss due to Friction = -((Energy through Hydraulic Turbines/ (9.81*Rate of Flow*Efficiency of Hydropower*Time Period of Progressive Wave))-Head of Water)
Head given Energy through Hydraulic Turbines
Go 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
Efficiency of Hydropower Station given Energy through Hydraulic Turbines
Go Efficiency of Hydropower = Energy through Hydraulic Turbines/(9.81*Rate of Flow*(Head of Water-Head Loss due to Friction)*Time Period of Progressive Wave)
Rate of Flow of Water given Energy through Hydraulic Turbines
Go Rate of Flow = Energy through Hydraulic Turbines/(9.81*(Head of Water-Head Loss due to Friction)*Efficiency of Hydropower*Time Period of Progressive Wave)
Period of Flow given Energy through Hydraulic Turbines
Go Time Period of Progressive Wave = Energy through Hydraulic Turbines/(9.81*Rate of Flow*(Head of Water-Head Loss due to Friction)*Efficiency of Hydropower)
Energy through Hydraulic Turbines
Go Energy through Hydraulic Turbines = (9.81*Rate of Flow*(Head of Water-Head Loss due to Friction)*Efficiency of Hydropower*Time Period of Progressive Wave)
Amount of Hydropower
Go Amount of Hydropower = (Specific Weight of Liquid*Rate of Flow*(Head loss-Head of Water)*Efficiency of Hydropower)/1000
Effective Head given Energy through Hydraulic Turbines
Go Effective Head = Energy through Hydraulic Turbines/(9.81*Rate of Flow*Efficiency of Hydropower*Time Period of Progressive Wave)
Head Loss given Amount of Hydropower
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
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
Go Efficiency of Hydropower = Amount of Hydropower/(9.81*Rate of Flow*(Head loss-Head of Water))

Head given Amount of Hydropower Formula

Head of Water = (Amount of Hydropower/(9.81*Rate of Flow*Efficiency of Hydropower))+Head Loss due to Friction
HWater = (P/(9.81*qflow*η))+hlocation

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 is Hydropower?

Hydropower, also known as water power, is the use of falling or fast-running water to produce electricity or to power machines. This is achieved by converting the gravitational potential or kinetic energy of a water source to produce electrical or mechanical power.

How to Calculate Head given Amount of Hydropower?

Head given Amount of Hydropower calculator uses Head of Water = (Amount of Hydropower/(9.81*Rate of Flow*Efficiency of Hydropower))+Head Loss due to Friction to calculate the Head of Water, The Head given Amount of Hydropower 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 HWater symbol.

How to calculate Head given Amount of Hydropower using this online calculator? To use this online calculator for Head given Amount of Hydropower, enter Amount of Hydropower (P), Rate of Flow (qflow), Efficiency of Hydropower (η) & Head Loss due to Friction (hlocation) and hit the calculate button. Here is how the Head given Amount of Hydropower calculation can be explained with given input values -> 4.566068 = (770/(9.81*32*0.8))+1.5.

FAQ

What is Head given Amount of Hydropower?
The Head given Amount of Hydropower is defined as a specific measurement of liquid pressure above vertical datum. It is usually measured as liquid surface elevation and is represented as HWater = (P/(9.81*qflow*η))+hlocation or Head of Water = (Amount of Hydropower/(9.81*Rate of Flow*Efficiency of Hydropower))+Head Loss due to Friction. Amount of Hydropower is a form of renewable energy that uses the water stored in dams, as well as flowing in rivers to create electricity in hydropower plants, 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 & 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 Amount of Hydropower?
The Head given Amount of Hydropower 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 = (Amount of Hydropower/(9.81*Rate of Flow*Efficiency of Hydropower))+Head Loss due to Friction. To calculate Head given Amount of Hydropower, you need Amount of Hydropower (P), Rate of Flow (qflow), Efficiency of Hydropower (η) & Head Loss due to Friction (hlocation). With our tool, you need to enter the respective value for Amount of Hydropower, Rate of Flow, Efficiency of Hydropower & 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 Amount of Hydropower, Rate of Flow, Efficiency of Hydropower & Head Loss due to Friction. We can use 1 other way(s) to calculate the same, which is/are as follows -
  • 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
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