Energy through Hydraulic Turbines Solution

STEP 0: Pre-Calculation Summary
Formula Used
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)
ETurbines = (9.81*qflow*(HWater-hlocation)*η*Tw)
This formula uses 6 Variables
Variables Used
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.
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.
STEP 1: Convert Input(s) to Base Unit
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
Efficiency of Hydropower: 0.8 --> 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
ETurbines = (9.81*qflow*(HWater-hlocation)*η*Tw) --> (9.81*32*(2.3-1.5)*0.8*2.6)
Evaluating ... ...
ETurbines = 522.36288
STEP 3: Convert Result to Output's Unit
522.36288 Joule -->522.36288 Newton Meter (Check conversion ​here)
FINAL ANSWER
522.36288 522.3629 Newton Meter <-- Energy through Hydraulic Turbines
(Calculation completed in 00.004 seconds)

Credits

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Created by M Naveen
National Institute of Technology (NIT), Warangal
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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))

Energy through Hydraulic Turbines Formula

​LaTeX ​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)
ETurbines = (9.81*qflow*(HWater-hlocation)*η*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 Energy through Hydraulic Turbines?

Energy through Hydraulic Turbines calculator uses 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) to calculate the Energy through Hydraulic Turbines, The Energy through Hydraulic Turbines is defined as the energy that available everywhere that a watercourse can be collected at a certain altitude and the water returned at a lower level. Energy through Hydraulic Turbines is denoted by ETurbines symbol.

How to calculate Energy through Hydraulic Turbines using this online calculator? To use this online calculator for Energy through Hydraulic Turbines, enter Rate of Flow (qflow), Head of Water (HWater), Head Loss due to Friction (hlocation), Efficiency of Hydropower (η) & Time Period of Progressive Wave (Tw) and hit the calculate button. Here is how the Energy through Hydraulic Turbines calculation can be explained with given input values -> 522.3629 = (9.81*32*(2.3-1.5)*0.8*2.6).

FAQ

What is Energy through Hydraulic Turbines?
The Energy through Hydraulic Turbines is defined as the energy that available everywhere that a watercourse can be collected at a certain altitude and the water returned at a lower level and is represented as ETurbines = (9.81*qflow*(HWater-hlocation)*η*Tw) or 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). 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, 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.
How to calculate Energy through Hydraulic Turbines?
The Energy through Hydraulic Turbines is defined as the energy that available everywhere that a watercourse can be collected at a certain altitude and the water returned at a lower level is calculated using 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). To calculate Energy through Hydraulic Turbines, you need Rate of Flow (qflow), Head of Water (HWater), Head Loss due to Friction (hlocation), Efficiency of Hydropower (η) & Time Period of Progressive Wave (Tw). With our tool, you need to enter the respective value for Rate of Flow, Head of Water, Head Loss due to Friction, Efficiency of Hydropower & 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.
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