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Rate of Flow of Water given Energy through Hydraulic Turbines Formula

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Rate of Flow is the rate at which a liquid or other substance flows through a particular channel, pipe, etc. Check FAQs

q flow = \frac{E Turbines}{9.81 \cdot (H Water - h location) \cdot η \cdot T w}

q_flow - Rate of Flow?E_Turbines - Energy through Hydraulic Turbines?H_Water - Head of Water?h_location - Head Loss due to Friction?η - Efficiency of Hydropower?T_w - Time Period of Progressive Wave?

Rate of Flow of Water given Energy through Hydraulic Turbines Example

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Here is how the Rate of Flow of Water given Energy through Hydraulic Turbines equation looks like with Values.

Here is how the Rate of Flow of Water given Energy through Hydraulic Turbines equation looks like with Units.

Here is how the Rate of Flow of Water given Energy through Hydraulic Turbines equation looks like.

31.9998 = \frac{522.36}{9.81 \cdot (2.3 - 1.5) \cdot 0.8 \cdot 2.6}

31.9998m³/s = \frac{522.36N*m}{9.81 \cdot (2.3m - 1.5m) \cdot 0.8 \cdot 2.6s}

31.9998 = \frac{522.36}{9.81 \cdot (2.3 - 1.5) \cdot 0.8 \cdot 2.6}

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Rate of Flow of Water given Energy through Hydraulic Turbines Solution

Follow our step by step solution on how to calculate Rate of Flow of Water given Energy through Hydraulic Turbines?

FIRST Step Consider the formula

q flow = \frac{E Turbines}{9.81 \cdot (H Water - h location) \cdot η \cdot T w}

Next Step Substitute values of Variables

∴

q flow = \frac{522.36N*m}{9.81 \cdot (2.3m - 1.5m) \cdot 0.8 \cdot 2.6s}

Next Step Convert Units

∴

q flow = \frac{522.36J}{9.81 \cdot (2.3m - 1.5m) \cdot 0.8 \cdot 2.6s}

Next Step Prepare to Evaluate

∴

q flow = \frac{522.36}{9.81 \cdot (2.3 - 1.5) \cdot 0.8 \cdot 2.6}

Next Step Evaluate

∴

q flow = 31.9998235709245m³/s

LAST Step Rounding Answer

∴

q flow = 31.9998m³/s

Rate of Flow of Water given Energy through Hydraulic Turbines Formula Elements

Variables

Rate of Flow

Rate of Flow is the rate at which a liquid or other substance flows through a particular channel, pipe, etc.

Symbol: q_flow

Measurement: Volumetric Flow RateUnit: m³/s

Note: Value should be greater than 0.

Formulas to find Rate of Flow

Energy through Hydraulic Turbines

Energy through Hydraulic Turbines describes the power generated by the turbine.

Symbol: E_Turbines

Measurement: EnergyUnit: N*m

Note: Value can be positive or negative.

Formulas to find Energy through Hydraulic Turbines

Head of Water

Head of Water is defined as the height of water columns.

Symbol: H_Water

Measurement: LengthUnit: m

Note: Value can be positive or negative.

Formulas to find Head of Water

Head Loss due to Friction

The Head Loss due to Friction occurs due to the effect of the fluid's viscosity near the surface of the pipe or duct.

Symbol: h_location

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Head Loss due to Friction

Efficiency of Hydropower

Efficiency of Hydropower is the ratio of useful energy output generated from water flow compared to the input energy.

Symbol: η

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Efficiency of Hydropower

Time Period of Progressive Wave

Time period of progressive wave is the time taken by a wave to complete one oscillation.

Symbol: T_w

Measurement: TimeUnit: s

Note: Value should be greater than 0.

Formulas to find Time Period of Progressive Wave

Other formulas in Assessment of Available Power category

Go Amount of Hydropower

P = \frac{γ f \cdot q flow \cdot (H l - H Water) \cdot η}{1000}

Go Efficiency of Hydropower Station given Amount of Hydropower

η = \frac{P}{9.81 \cdot q flow \cdot (H l - H Water)}

Go Head given Amount of Hydropower

H Water = (\frac{P}{9.81 \cdot q flow \cdot η}) + h location

Go Head Loss given Amount of Hydropower

h location = ((\frac{P}{9.81 \cdot q flow \cdot η}) - H Water)

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

Rate of Flow of Water given Energy through Hydraulic Turbines evaluator 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 evaluate 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 evaluate Rate of Flow of Water given Energy through Hydraulic Turbines using this online evaluator? To use this online evaluator 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.

FAQs on Rate of Flow of Water given Energy through Hydraulic Turbines

What is the formula to find Rate of Flow of Water given Energy through Hydraulic Turbines?

The formula of Rate of Flow of Water given Energy through Hydraulic Turbines is expressed as 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). Here is an example- 32.99775 = 522.36/(9.81*(2.3-1.5)*0.8*2.6).

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

With 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) we can find Rate of Flow of Water given Energy through Hydraulic Turbines using the formula - 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).

Can the Rate of Flow of Water given Energy through Hydraulic Turbines be negative?

No, the Rate of Flow of Water given Energy through Hydraulic Turbines, measured in Volumetric Flow Rate cannot be negative.

Which unit is used to measure Rate of Flow of Water given Energy through Hydraulic Turbines?

Rate of Flow of Water given Energy through Hydraulic Turbines is usually measured using the Cubic Meter per Second[m³/s] for Volumetric Flow Rate. Cubic Meter per Day[m³/s], Cubic Meter per Hour[m³/s], Cubic Meter per Minute[m³/s] are the few other units in which Rate of Flow of Water given Energy through Hydraulic Turbines can be measured.

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Rate of Flow of Water given Energy through Hydraulic Turbines Formula

Rate of Flow of Water given Energy through Hydraulic Turbines Example

Rate of Flow of Water given Energy through Hydraulic Turbines Solution

Rate of Flow of Water given Energy through Hydraulic Turbines Formula Elements

Other formulas in Assessment of Available Power category

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

FAQs on Rate of Flow of Water given Energy through Hydraulic Turbines

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