Rate of Flow of Water 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%
✖Head of Water is defined as the height of water columns.ⓘ Head of Water [H_Water]			+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%
✖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%

✖Rate of Flow is the rate at which a liquid or other substance flows through a particular channel, pipe, etc.ⓘ Rate of Flow of Water given Energy through Hydraulic Turbines [q_flow]

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Formula

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Rate of Flow of Water given Energy through Hydraulic Turbines

Formula

`"q"_{"flow"} = "E"_{"Turbines"}/(9.81*("H"_{"Water"}-"h"_{"location"})*"η"*"T"_{"w"})`

Example

`"31.99982m³/s"= "522.36N*m"/(9.81*("2.3m"-"1.5m")*"0.80"*"2.6s")`

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Rate of Flow of Water given Energy through Hydraulic Turbines Solution

STEP 0: Pre-Calculation Summary

Formula Used

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)
q_flow = E_Turbines/(9.81*(H_Water-h_location)*η*T_w)
This formula uses 6 Variables

Variables Used

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.
Energy through Hydraulic Turbines - (Measured in Joule) - Energy through Hydraulic Turbines describes the power generated by the turbine.
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

Energy through Hydraulic Turbines: 522.36 Newton Meter --> 522.36 Joule (Check conversion here)
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

q_flow = E_Turbines/(9.81*(H_Water-h_location)*η*T_w) --> 522.36/(9.81*(2.3-1.5)*0.8*2.6)

Evaluating ... ...

q_flow = 31.9998235709245

STEP 3: Convert Result to Output's Unit

31.9998235709245 Cubic Meter per Second --> No Conversion Required

FINAL ANSWER

31.9998235709245 ≈ 31.99982 Cubic Meter per Second <-- Rate of Flow

(Calculation completed in 00.004 seconds)

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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))

Rate of Flow of Water given Energy through Hydraulic Turbines Formula

What is meant by Energy through Hydraulic Turbines?

Energy through hydraulic turbines is the generation of power by the hydraulic turbines usually in KWh.

How to Calculate Rate of Flow of Water given Energy through Hydraulic Turbines?

Rate of Flow of Water given Energy through Hydraulic Turbines calculator uses 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) to calculate the Rate of Flow, The Rate of Flow of Water given Energy through Hydraulic Turbines is defined as a measure of volume of liquid that moves in certain amount of time. flow rate depends on area of section. Rate of Flow is denoted by q_flow symbol.

How to calculate Rate of Flow of Water given Energy through Hydraulic Turbines using this online calculator? To use this online calculator for Rate of Flow of Water given Energy through Hydraulic Turbines, enter Energy through Hydraulic Turbines (E_Turbines), Head of Water (H_Water), Head Loss due to Friction (h_location), Efficiency of Hydropower (η) & Time Period of Progressive Wave (T_w) and hit the calculate button. Here is how the Rate of Flow of Water given Energy through Hydraulic Turbines calculation can be explained with given input values -> 32.99775 = 522.36/(9.81*(2.3-1.5)*0.8*2.6).

FAQ

What is Rate of Flow of Water given Energy through Hydraulic Turbines?

The Rate of Flow of Water given Energy through Hydraulic Turbines is defined as a measure of volume of liquid that moves in certain amount of time. flow rate depends on area of section and is represented as q_flow = E_Turbines/(9.81*(H_Water-h_location)*η*T_w) or 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). Energy through Hydraulic Turbines describes the power generated by the turbine, 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 Rate of Flow of Water given Energy through Hydraulic Turbines?

The Rate of Flow of Water given Energy through Hydraulic Turbines is defined as a measure of volume of liquid that moves in certain amount of time. flow rate depends on area of section is calculated using 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). To calculate Rate of Flow of Water given Energy through Hydraulic Turbines, you need Energy through Hydraulic Turbines (E_Turbines), Head of Water (H_Water), Head Loss due to Friction (h_location), Efficiency of Hydropower (η) & Time Period of Progressive Wave (T_w). With our tool, you need to enter the respective value for Energy through Hydraulic Turbines, 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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