Efficiency of Hydropower Station given Energy through Hydraulic Turbines Solution

STEP 0: Pre-Calculation Summary
Formula Used
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)
η = ETurbines/(9.81*qflow*(HWater-hlocation)*Tw)
This formula uses 6 Variables
Variables Used
Efficiency of Hydropower - Efficiency of Hydropower is the ratio of useful energy output generated from water flow compared to the input energy.
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.
Head of Water - (Measured in Meter) - Head of Water is defined as the height of water columns.
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.
Time Period of Progressive Wave - (Measured in Second) - Time period of progressive wave is the time taken by a wave to complete one oscillation.
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
Head of Water: 2.3 Meter --> 2.3 Meter No Conversion Required
Head Loss due to Friction: 1.5 Meter --> 1.5 Meter No Conversion Required
Time Period of Progressive Wave: 2.6 Second --> 2.6 Second No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
η = ETurbines/(9.81*qflow*(HWater-hlocation)*Tw) --> 522.36/(9.81*32*(2.3-1.5)*2.6)
Evaluating ... ...
η = 0.799995589273112
STEP 3: Convert Result to Output's Unit
0.799995589273112 --> No Conversion Required
FINAL ANSWER
0.799995589273112 0.799996 <-- Efficiency of Hydropower
(Calculation completed in 00.004 seconds)

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Assessment of Available Power Calculators

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))

Efficiency of Hydropower Station given Energy through Hydraulic Turbines Formula

​LaTeX ​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)
η = ETurbines/(9.81*qflow*(HWater-hlocation)*Tw)

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.

How to Calculate Efficiency of Hydropower Station given Energy through Hydraulic Turbines?

Efficiency of Hydropower Station given Energy through Hydraulic Turbines calculator uses 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) to calculate the Efficiency of Hydropower, The Efficiency of Hydropower Station given Energy through Hydraulic Turbines is defined as a fundamental reduction in amount of wasted resources that are used to produce given number of goods or services (output). Efficiency of Hydropower is denoted by η symbol.

How to calculate Efficiency of Hydropower Station given Energy through Hydraulic Turbines using this online calculator? To use this online calculator for Efficiency of Hydropower Station given Energy through Hydraulic Turbines, enter Energy through Hydraulic Turbines (ETurbines), Rate of Flow (qflow), Head of Water (HWater), Head Loss due to Friction (hlocation) & Time Period of Progressive Wave (Tw) and hit the calculate button. Here is how the Efficiency of Hydropower Station given Energy through Hydraulic Turbines calculation can be explained with given input values -> 0.824944 = 522.36/(9.81*32*(2.3-1.5)*2.6).

FAQ

What is Efficiency of Hydropower Station given Energy through Hydraulic Turbines?
The Efficiency of Hydropower Station given Energy through Hydraulic Turbines is defined as a fundamental reduction in amount of wasted resources that are used to produce given number of goods or services (output) and is represented as η = ETurbines/(9.81*qflow*(HWater-hlocation)*Tw) or 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). 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, Head of Water is defined as the height of water columns, The Head Loss due to Friction occurs due to the effect of the fluid's viscosity near the surface of the pipe or duct & Time period of progressive wave is the time taken by a wave to complete one oscillation.
How to calculate Efficiency of Hydropower Station given Energy through Hydraulic Turbines?
The Efficiency of Hydropower Station given Energy through Hydraulic Turbines is defined as a fundamental reduction in amount of wasted resources that are used to produce given number of goods or services (output) is calculated using 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). To calculate Efficiency of Hydropower Station given Energy through Hydraulic Turbines, you need Energy through Hydraulic Turbines (ETurbines), Rate of Flow (qflow), Head of Water (HWater), Head Loss due to Friction (hlocation) & Time Period of Progressive Wave (Tw). With our tool, you need to enter the respective value for Energy through Hydraulic Turbines, Rate of Flow, Head of Water, Head Loss due to Friction & Time Period of Progressive Wave 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 Efficiency of Hydropower?
In this formula, Efficiency of Hydropower uses Energy through Hydraulic Turbines, Rate of Flow, Head of Water, Head Loss due to Friction & Time Period of Progressive Wave. We can use 1 other way(s) to calculate the same, which is/are as follows -
  • Efficiency of Hydropower = Amount of Hydropower/(9.81*Rate of Flow*(Head loss-Head of Water))
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