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Discharge given Energy Gradient Formula

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Discharge by Energy Gradient is rate of floe per unit time. Check FAQs

Q eg = {(((1 - (\frac{i}{m})) \cdot \frac{[g] \cdot S^{3}}{T}))}^{0.5}

Q_eg - Discharge by Energy Gradient?i - Hydraulic Gradient to Head Loss?m - Slope of Line?S - Wetted Surface Area?T - Top Width?[g] - Gravitational acceleration on Earth?

Discharge given Energy Gradient Example

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Here is how the Discharge given Energy Gradient equation looks like with Values.

Here is how the Discharge given Energy Gradient equation looks like with Units.

Here is how the Discharge given Energy Gradient equation looks like.

12.5102 = {(((1 - (\frac{2.02}{4})) \cdot \frac{9.8066 \cdot {4.01}^{3}}{2}))}^{0.5}

12.5102m³/s = {(((1 - (\frac{2.02}{4})) \cdot \frac{9.8066m/s² \cdot {4.01m²}^{3}}{2m}))}^{0.5}

12.5102 = {(((1 - (\frac{2.02}{4})) \cdot \frac{9.8066 \cdot {4.01}^{3}}{2}))}^{0.5}

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Discharge given Energy Gradient Solution

Follow our step by step solution on how to calculate Discharge given Energy Gradient?

FIRST Step Consider the formula

Q eg = {(((1 - (\frac{i}{m})) \cdot \frac{[g] \cdot S^{3}}{T}))}^{0.5}

Next Step Substitute values of Variables

∴

Q eg = {(((1 - (\frac{2.02}{4})) \cdot \frac{[g] \cdot {4.01m²}^{3}}{2m}))}^{0.5}

Next Step Substitute values of Constants

∴

Q eg = {(((1 - (\frac{2.02}{4})) \cdot \frac{9.8066m/s² \cdot {4.01m²}^{3}}{2m}))}^{0.5}

Next Step Prepare to Evaluate

∴

Q eg = {(((1 - (\frac{2.02}{4})) \cdot \frac{9.8066 \cdot {4.01}^{3}}{2}))}^{0.5}

Next Step Evaluate

∴

Q eg = 12.5102070735138m³/s

LAST Step Rounding Answer

∴

Q eg = 12.5102m³/s

Discharge given Energy Gradient Formula Elements

Variables

Constants

Discharge by Energy Gradient

Discharge by Energy Gradient is rate of floe per unit time.

Symbol: Q_eg

Measurement: Volumetric Flow RateUnit: m³/s

Note: Value should be greater than 0.

Formulas to find Discharge by Energy Gradient

Hydraulic Gradient to Head Loss

Hydraulic Gradient to Head Loss is a specific measurement of liquid pressure above a vertical datum.

Symbol: i

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Hydraulic Gradient to Head Loss

Slope of Line

The Slope of Line is a number that measures its "steepness", usually denoted by the letter m. It is the change in y for a unit change in x along the line.

Symbol: m

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Slope of Line

Wetted Surface Area

Wetted Surface Area is the total area of outer surface in contact with the surrounding water.

Symbol: S

Measurement: AreaUnit: m²

Note: Value should be greater than 0.

Formulas to find Wetted Surface Area

Top Width

Top Width is defined as width at top of section.

Symbol: T

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Top Width

Gravitational acceleration on Earth

Gravitational acceleration on Earth means that the velocity of an object in free fall will increase by 9.8 m/s2 every second.

Symbol: [g]

Value: 9.80665 m/s²

Other formulas in Gradually Varied Flow in Channels category

Go Slope of Dynamic Equation of Gradually Varied Flows

m = \frac{S 0 - S f}{1 - ({F r(d)}^{2})}

Go Bed Slope given Slope of Dynamic Equation of Gradually Varied Flow

S 0 = S f + (m \cdot (1 - ({F r(d)}^{2})))

Go Froude Number given Slope of Dynamic Equation of Gradually Varied Flow

F r(d) = \sqrt{1 - (\frac{S 0 - S f}{m})}

Go Froude Number given Top Width

Fr = \sqrt{{Q f}^{2} \cdot \frac{T}{[g] \cdot S^{3}}}

How to Evaluate Discharge given Energy Gradient?

Discharge given Energy Gradient evaluator uses Discharge by Energy Gradient = (((1-(Hydraulic Gradient to Head Loss/Slope of Line))*([g]*Wetted Surface Area^3)/Top Width))^0.5 to evaluate the Discharge by Energy Gradient, The Discharge given Energy Gradient formula is defined as the amount of fluid in the channel in open channel section. Discharge by Energy Gradient is denoted by Q_eg symbol.

How to evaluate Discharge given Energy Gradient using this online evaluator? To use this online evaluator for Discharge given Energy Gradient, enter Hydraulic Gradient to Head Loss (i), Slope of Line (m), Wetted Surface Area (S) & Top Width (T) and hit the calculate button.

FAQs on Discharge given Energy Gradient

What is the formula to find Discharge given Energy Gradient?

The formula of Discharge given Energy Gradient is expressed as Discharge by Energy Gradient = (((1-(Hydraulic Gradient to Head Loss/Slope of Line))*([g]*Wetted Surface Area^3)/Top Width))^0.5. Here is an example- 12.46344 = (((1-(2.02/4))*([g]*4.01^3)/2))^0.5.

How to calculate Discharge given Energy Gradient?

With Hydraulic Gradient to Head Loss (i), Slope of Line (m), Wetted Surface Area (S) & Top Width (T) we can find Discharge given Energy Gradient using the formula - Discharge by Energy Gradient = (((1-(Hydraulic Gradient to Head Loss/Slope of Line))*([g]*Wetted Surface Area^3)/Top Width))^0.5. This formula also uses Gravitational acceleration on Earth constant(s).

Can the Discharge given Energy Gradient be negative?

No, the Discharge given Energy Gradient, measured in Volumetric Flow Rate cannot be negative.

Which unit is used to measure Discharge given Energy Gradient?

Discharge given Energy Gradient 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 Discharge given Energy Gradient can be measured.

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Discharge given Energy Gradient Formula

Discharge given Energy Gradient Example

Discharge given Energy Gradient Solution

Discharge given Energy Gradient Formula Elements

Other formulas in Gradually Varied Flow in Channels category

How to Evaluate Discharge given Energy Gradient?

FAQs on Discharge given Energy Gradient

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