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Conjugate Depth y1 given Critical Depth Formula

GoConjugate Depth y1 given Discharge per Unit Width of Channel Formula

GoConjugate Depth y1 given Froude Number Fr1 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 = 0.5 \cdot d 2R \cdot (- 1 + \sqrt{1 + \frac{8 \cdot ({h c}^{3})}{{d 2R}^{3}}})

d_1R - Depth of Point 1 for Rectangular Channel?d_2R - Depth of Point 2 for Rectangular Channel?h_c - Critical Depth of Weir?

Conjugate Depth y1 given Critical Depth Example

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Here is how the Conjugate Depth y1 given Critical Depth equation looks like with Values.

Here is how the Conjugate Depth y1 given Critical Depth equation looks like with Units.

Here is how the Conjugate Depth y1 given Critical Depth equation looks like.

0.8254 = 0.5 \cdot 1.2 \cdot (- 1 + \sqrt{1 + \frac{8 \cdot ({1.001}^{3})}{{1.2}^{3}}})

0.8254m = 0.5 \cdot 1.2m \cdot (- 1 + \sqrt{1 + \frac{8 \cdot ({1.001m}^{3})}{{1.2m}^{3}}})

0.8254 = 0.5 \cdot 1.2 \cdot (- 1 + \sqrt{1 + \frac{8 \cdot ({1.001}^{3})}{{1.2}^{3}}})

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Conjugate Depth y1 given Critical Depth Solution

Follow our step by step solution on how to calculate Conjugate Depth y1 given Critical Depth?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

d 1R = 0.5 \cdot 1.2m \cdot (- 1 + \sqrt{1 + \frac{8 \cdot ({1.001m}^{3})}{{1.2m}^{3}}})

Next Step Prepare to Evaluate

∴

d 1R = 0.5 \cdot 1.2 \cdot (- 1 + \sqrt{1 + \frac{8 \cdot ({1.001}^{3})}{{1.2}^{3}}})

Next Step Evaluate

∴

d 1R = 0.825367204734742m

LAST Step Rounding Answer

∴

d 1R = 0.8254m

Conjugate Depth y1 given Critical Depth 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

Critical Depth of Weir

The Critical Depth of Weir is defined as the depth of flow where energy is at a minimum for a particular discharge.

Symbol: h_c

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Critical Depth of Weir

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 Froude Number Fr1

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

Go Conjugate Depth y1 given Froude Number Fr2

d 1R = d 2R \cdot (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 Critical Depth?

Conjugate Depth y1 given Critical Depth evaluator uses 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))) to evaluate the Depth of Point 1 for Rectangular Channel, The Conjugate Depth y1 given Critical Depth is defined as depth of flow where in which hydraulic jump occurs. Depth of Point 1 for Rectangular Channel is denoted by d_1R symbol.

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

FAQs on Conjugate Depth y1 given Critical Depth

What is the formula to find Conjugate Depth y1 given Critical Depth?

The formula of Conjugate Depth y1 given Critical Depth is expressed as 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))). Here is an example- 0.825367 = 0.5*1.2*(-1+sqrt(1+(8*(1.001^3))/(1.2^3))).

How to calculate Conjugate Depth y1 given Critical Depth?

With Depth of Point 2 for Rectangular Channel (d_2R) & Critical Depth of Weir (h_c) we can find Conjugate Depth y1 given Critical Depth using the formula - 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))). 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=Depth of Point 2 for Rectangular Channel/(0.5*(-1+sqrt(1+(8*(Froude Number^2)))))
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 Critical Depth be negative?

No, the Conjugate Depth y1 given Critical Depth, measured in Length cannot be negative.

Which unit is used to measure Conjugate Depth y1 given Critical Depth?

Conjugate Depth y1 given Critical Depth 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 Critical Depth can be measured.

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Conjugate Depth y1 given Critical Depth Formula

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

​GoConjugate Depth y1 given Froude Number Fr1 Formula

Conjugate Depth y1 given Critical Depth Example

Conjugate Depth y1 given Critical Depth Solution

Conjugate Depth y1 given Critical Depth 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 Critical Depth?

FAQs on Conjugate Depth y1 given Critical Depth

Variable Name

GoConjugate Depth y1 given Discharge per Unit Width of Channel Formula

GoConjugate Depth y1 given Froude Number Fr1 Formula