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Conjugate Depth y1 given Froude Number Fr2 Formula

GoConjugate Depth y1 given Discharge per Unit Width of Channel Formula

GoConjugate Depth y1 given Critical Depth Formula

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

d 1R = d 2R \cdot (0.5 \cdot (- 1 + \sqrt{1 + (8 \cdot ({Fr}^{2}))}))

d_1R - Depth of Point 1 for Rectangular Channel?d_2R - Depth of Point 2 for Rectangular Channel?Fr - Froude Number?

Conjugate Depth y1 given Froude Number Fr2 Example

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Here is how the Conjugate Depth y1 given Froude Number Fr2 equation looks like with Values.

Here is how the Conjugate Depth y1 given Froude Number Fr2 equation looks like with Units.

Here is how the Conjugate Depth y1 given Froude Number Fr2 equation looks like.

16.3812 = 1.2 \cdot (0.5 \cdot (- 1 + \sqrt{1 + (8 \cdot (10^{2}))}))

16.3812m = 1.2m \cdot (0.5 \cdot (- 1 + \sqrt{1 + (8 \cdot (10^{2}))}))

16.3812 = 1.2 \cdot (0.5 \cdot (- 1 + \sqrt{1 + (8 \cdot (10^{2}))}))

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Conjugate Depth y1 given Froude Number Fr2 Solution

Follow our step by step solution on how to calculate Conjugate Depth y1 given Froude Number Fr2?

FIRST Step Consider the formula

d 1R = d 2R \cdot (0.5 \cdot (- 1 + \sqrt{1 + (8 \cdot ({Fr}^{2}))}))

Next Step Substitute values of Variables

∴

d 1R = 1.2m \cdot (0.5 \cdot (- 1 + \sqrt{1 + (8 \cdot (10^{2}))}))

Next Step Prepare to Evaluate

∴

d 1R = 1.2 \cdot (0.5 \cdot (- 1 + \sqrt{1 + (8 \cdot (10^{2}))}))

Next Step Evaluate

∴

d 1R = 16.3811660377019m

LAST Step Rounding Answer

∴

d 1R = 16.3812m

Conjugate Depth y1 given Froude Number Fr2 Formula Elements

Variables

Functions

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

Froude Number

Froude Number is a measurement of bulk flow characteristics such as waves, sand bedforms, flow/depth interactions at a cross section or between boulders.

Symbol: Fr

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Froude Number

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 to find Depth of Point 1 for Rectangular Channel

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 y1 given Critical Depth

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

Go Conjugate Depth y1 given Froude Number Fr1

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

Other formulas in Hydraulic Jump in Rectangular Channel category

Go Discharge Per Unit Width of Channel given Conjugate Depths

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

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 y2 given Froude Number Fr1

d 2R = d 1R \cdot (0.5 \cdot (- 1 + \sqrt{1 + (8 \cdot ({Fr}^{2}))}))

How to Evaluate Conjugate Depth y1 given Froude Number Fr2?

Conjugate Depth y1 given Froude Number Fr2 evaluator uses Depth of Point 1 for Rectangular Channel = Depth of Point 2 for Rectangular Channel*(0.5*(-1+sqrt(1+(8*(Froude Number^2))))) to evaluate the Depth of Point 1 for Rectangular Channel, The Conjugate Depth y1 given Froude Number Fr2 is defined as the depth where the flow velocity matches the wave speed. Depth of Point 1 for Rectangular Channel is denoted by d_1R symbol.

How to evaluate Conjugate Depth y1 given Froude Number Fr2 using this online evaluator? To use this online evaluator for Conjugate Depth y1 given Froude Number Fr2, enter Depth of Point 2 for Rectangular Channel (d_2R) & Froude Number (Fr) and hit the calculate button.

FAQs on Conjugate Depth y1 given Froude Number Fr2

What is the formula to find Conjugate Depth y1 given Froude Number Fr2?

The formula of Conjugate Depth y1 given Froude Number Fr2 is expressed as Depth of Point 1 for Rectangular Channel = Depth of Point 2 for Rectangular Channel*(0.5*(-1+sqrt(1+(8*(Froude Number^2))))). Here is an example- 16.38117 = 1.2*(0.5*(-1+sqrt(1+(8*(10^2))))).

How to calculate Conjugate Depth y1 given Froude Number Fr2?

With Depth of Point 2 for Rectangular Channel (d_2R) & Froude Number (Fr) we can find Conjugate Depth y1 given Froude Number Fr2 using the formula - Depth of Point 1 for Rectangular Channel = Depth of Point 2 for Rectangular Channel*(0.5*(-1+sqrt(1+(8*(Froude Number^2))))). This formula also uses Square Root (sqrt) function(s).

What are the other ways to Calculate Depth of Point 1 for Rectangular Channel?

Here are the different ways to Calculate Depth of Point 1 for Rectangular Channel-

Depth of Point 1 for Rectangular Channel=0.5*Depth of Point 2 for Rectangular Channel*(-1+sqrt(1+(8*(Discharge per Unit Width^2))/([g]*Depth of Point 2 for Rectangular Channel*Depth of Point 2 for Rectangular Channel*Depth of Point 2 for Rectangular Channel)))
Depth of Point 1 for Rectangular Channel=0.5*Depth of Point 2 for Rectangular Channel*(-1+sqrt(1+(8*(Critical Depth of Weir^3))/(Depth of Point 2 for Rectangular Channel^3)))
Depth of Point 1 for Rectangular Channel=Depth of Point 2 for Rectangular Channel/(0.5*(-1+sqrt(1+(8*(Froude Number^2)))))

Can the Conjugate Depth y1 given Froude Number Fr2 be negative?

No, the Conjugate Depth y1 given Froude Number Fr2, measured in Length cannot be negative.

Which unit is used to measure Conjugate Depth y1 given Froude Number Fr2?

Conjugate Depth y1 given Froude Number Fr2 is usually measured using the Meter[m] for Length. Millimeter[m], Kilometer[m], Decimeter[m] are the few other units in which Conjugate Depth y1 given Froude Number Fr2 can be measured.

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Conjugate Depth y1 given Froude Number Fr2 Formula

​GoConjugate Depth y1 given Discharge per Unit Width of Channel Formula

​GoConjugate Depth y1 given Critical Depth Formula

Conjugate Depth y1 given Froude Number Fr2 Example

Conjugate Depth y1 given Froude Number Fr2 Solution

Conjugate Depth y1 given Froude Number Fr2 Formula Elements

Other Formulas to find Depth of Point 1 for Rectangular Channel

Other formulas in Hydraulic Jump in Rectangular Channel category

How to Evaluate Conjugate Depth y1 given Froude Number Fr2?

FAQs on Conjugate Depth y1 given Froude Number Fr2

Variable Name

GoConjugate Depth y1 given Discharge per Unit Width of Channel Formula

GoConjugate Depth y1 given Critical Depth Formula