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Discharge Per Unit Width of Channel given Conjugate Depths Formula

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The Discharge per Unit Width is the ratio of total discharge in the channel to the width considered. Check FAQs

q = \sqrt{(d 1R \cdot d 2R \cdot (d 1R + d 2R)) \cdot [g] \cdot 0.5}

q - Discharge per Unit Width?d_1R - Depth of Point 1 for Rectangular Channel?d_2R - Depth of Point 2 for Rectangular Channel?[g] - Gravitational acceleration on Earth?

Discharge Per Unit Width of Channel given Conjugate Depths Example

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Here is how the Discharge Per Unit Width of Channel given Conjugate Depths equation looks like with Values.

Here is how the Discharge Per Unit Width of Channel given Conjugate Depths equation looks like with Units.

Here is how the Discharge Per Unit Width of Channel given Conjugate Depths equation looks like.

3.8583 = \sqrt{(1.1 \cdot 1.2 \cdot (1.1 + 1.2)) \cdot 9.8066 \cdot 0.5}

3.8583m²/s = \sqrt{(1.1m \cdot 1.2m \cdot (1.1m + 1.2m)) \cdot 9.8066m/s² \cdot 0.5}

3.8583 = \sqrt{(1.1 \cdot 1.2 \cdot (1.1 + 1.2)) \cdot 9.8066 \cdot 0.5}

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Discharge Per Unit Width of Channel given Conjugate Depths Solution

Follow our step by step solution on how to calculate Discharge Per Unit Width of Channel given Conjugate Depths?

FIRST Step Consider the formula

q = \sqrt{(d 1R \cdot d 2R \cdot (d 1R + d 2R)) \cdot [g] \cdot 0.5}

Next Step Substitute values of Variables

∴

q = \sqrt{(1.1m \cdot 1.2m \cdot (1.1m + 1.2m)) \cdot [g] \cdot 0.5}

Next Step Substitute values of Constants

∴

q = \sqrt{(1.1m \cdot 1.2m \cdot (1.1m + 1.2m)) \cdot 9.8066m/s² \cdot 0.5}

Next Step Prepare to Evaluate

∴

q = \sqrt{(1.1 \cdot 1.2 \cdot (1.1 + 1.2)) \cdot 9.8066 \cdot 0.5}

Next Step Evaluate

∴

q = 3.85830204882925m²/s

LAST Step Rounding Answer

∴

q = 3.8583m²/s

Discharge Per Unit Width of Channel given Conjugate Depths Formula Elements

Variables

Constants

Functions

Discharge per Unit Width

The Discharge per Unit Width is the ratio of total discharge in the channel to the width considered.

Symbol: q

Measurement: Kinematic ViscosityUnit: m²/s

Note: Value can be positive or negative.

Formulas to find Discharge per Unit Width

Depth of Point 1 for Rectangular Channel

Depth of Point 1 for Rectangular Channel is the depth of point below the free surface in a static mass of liquid.

Symbol: d_1R

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Depth of Point 1 for Rectangular Channel

Depth of Point 2 for Rectangular Channel

Depth of Point 2 for Rectangular Channel is the depth of point below the free surface in a static mass of liquid.

Symbol: d_2R

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Depth of Point 2 for Rectangular Channel

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

sqrt

A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number.

Syntax: sqrt(Number)

Other formulas in Hydraulic Jump in Rectangular Channel category

Go Conjugate Depth y1 given Discharge per Unit Width of Channel

d 1R = 0.5 \cdot d 2R \cdot (- 1 + \sqrt{1 + \frac{8 \cdot (q^{2})}{[g] \cdot d 2R \cdot d 2R \cdot d 2R}})

Go Conjugate Depth y2 given Discharge per Unit Width of Channel

d 2R = 0.5 \cdot d 1R \cdot (- 1 + \sqrt{1 + \frac{8 \cdot (q^{2})}{[g] \cdot d 1R \cdot d 1R \cdot d 1R}})

Go Conjugate Depth y2 given Critical Depth

d 2R = 0.5 \cdot d 1R \cdot (- 1 + \sqrt{1 + \frac{8 \cdot ({h c}^{3})}{{d 1R}^{3}}})

Go Conjugate Depth y1 given Critical Depth

d 1R = 0.5 \cdot d 2R \cdot (- 1 + \sqrt{1 + \frac{8 \cdot ({h c}^{3})}{{d 2R}^{3}}})

How to Evaluate Discharge Per Unit Width of Channel given Conjugate Depths?

Discharge Per Unit Width of Channel given Conjugate Depths evaluator uses Discharge per Unit Width = sqrt((Depth of Point 1 for Rectangular Channel*Depth of Point 2 for Rectangular Channel*(Depth of Point 1 for Rectangular Channel+Depth of Point 2 for Rectangular Channel))*[g]*0.5) to evaluate the Discharge per Unit Width, The Discharge Per Unit Width of Channel given Conjugate Depths is defined as the amount of fluid in the channel per unit width. Discharge per Unit Width is denoted by q symbol.

How to evaluate Discharge Per Unit Width of Channel given Conjugate Depths using this online evaluator? To use this online evaluator for Discharge Per Unit Width of Channel given Conjugate Depths, enter Depth of Point 1 for Rectangular Channel (d_1R) & Depth of Point 2 for Rectangular Channel (d_2R) and hit the calculate button.

FAQs on Discharge Per Unit Width of Channel given Conjugate Depths

What is the formula to find Discharge Per Unit Width of Channel given Conjugate Depths?

The formula of Discharge Per Unit Width of Channel given Conjugate Depths is expressed as Discharge per Unit Width = sqrt((Depth of Point 1 for Rectangular Channel*Depth of Point 2 for Rectangular Channel*(Depth of Point 1 for Rectangular Channel+Depth of Point 2 for Rectangular Channel))*[g]*0.5). Here is an example- 3.858302 = sqrt((1.1*1.2*(1.1+1.2))*[g]*0.5).

How to calculate Discharge Per Unit Width of Channel given Conjugate Depths?

With Depth of Point 1 for Rectangular Channel (d_1R) & Depth of Point 2 for Rectangular Channel (d_2R) we can find Discharge Per Unit Width of Channel given Conjugate Depths using the formula - Discharge per Unit Width = sqrt((Depth of Point 1 for Rectangular Channel*Depth of Point 2 for Rectangular Channel*(Depth of Point 1 for Rectangular Channel+Depth of Point 2 for Rectangular Channel))*[g]*0.5). This formula also uses Gravitational acceleration on Earth constant(s) and Square Root (sqrt) function(s).

Can the Discharge Per Unit Width of Channel given Conjugate Depths be negative?

Yes, the Discharge Per Unit Width of Channel given Conjugate Depths, measured in Kinematic Viscosity can be negative.

Which unit is used to measure Discharge Per Unit Width of Channel given Conjugate Depths?

Discharge Per Unit Width of Channel given Conjugate Depths is usually measured using the Square Meter per Second[m²/s] for Kinematic Viscosity. Square Meter per Hour[m²/s], Square Centimeter per Second[m²/s], Square Millimeter per Second[m²/s] are the few other units in which Discharge Per Unit Width of Channel given Conjugate Depths can be measured.

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