Critical Depth of Channel given Slope of Dynamic Equation of Gradually Varied Flow Calculator

✖Normal Depth is a depth of flow in a channel or culvert when the slope of the water surface and channel bottom is the same and the water depth remains constant.ⓘ Normal Depth [y]			+10% -10%
✖Depth of Flow is the distance from the top or surface of the flow to the bottom of a channel or other waterway or Depth of Flow at the Vertical while measuring Sound Weights.ⓘ Depth of Flow [d_f]			+10% -10%
✖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.ⓘ Slope of Line [m]			+10% -10%
✖Bed Slope of Channel is used to calculate the shear stress at the bed of an open channel containing fluid that is undergoing steady, uniform flow.ⓘ Bed Slope of Channel [S₀]			+10% -10%

✖Critical Depth of Channel GVF Flow occurs when the flow in a channel has a minimum specific energy.ⓘ Critical Depth of Channel given Slope of Dynamic Equation of Gradually Varied Flow [H_C]

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Critical Depth of Channel given Slope of Dynamic Equation of Gradually Varied Flow Solution

STEP 0: Pre-Calculation Summary

Formula Used

Critical Depth of Channel GVF Flow = ((1-(((1-((Normal Depth/Depth of Flow)^(10/3)))/(Slope of Line/Bed Slope of Channel)))^(1/3)))*Depth of Flow
H_C = ((1-(((1-((y/d_f)^(10/3)))/(m/S₀)))^(1/3)))*d_f
This formula uses 5 Variables

Variables Used

Critical Depth of Channel GVF Flow - (Measured in Meter) - Critical Depth of Channel GVF Flow occurs when the flow in a channel has a minimum specific energy.
Normal Depth - (Measured in Meter) - Normal Depth is a depth of flow in a channel or culvert when the slope of the water surface and channel bottom is the same and the water depth remains constant.
Depth of Flow - (Measured in Meter) - Depth of Flow is the distance from the top or surface of the flow to the bottom of a channel or other waterway or Depth of Flow at the Vertical while measuring Sound Weights.
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.
Bed Slope of Channel - Bed Slope of Channel is used to calculate the shear stress at the bed of an open channel containing fluid that is undergoing steady, uniform flow.

STEP 1: Convert Input(s) to Base Unit

Normal Depth: 1.5 Meter --> 1.5 Meter No Conversion Required
Depth of Flow: 3.3 Meter --> 3.3 Meter No Conversion Required
Slope of Line: 4 --> No Conversion Required
Bed Slope of Channel: 4.001 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

H_C = ((1-(((1-((y/d_f)^(10/3)))/(m/S₀)))^(1/3)))*d_f --> ((1-(((1-((1.5/3.3)^(10/3)))/(4/4.001)))^(1/3)))*3.3

Evaluating ... ...

H_C = 0.0811541027822513

STEP 3: Convert Result to Output's Unit

0.0811541027822513 Meter --> No Conversion Required

FINAL ANSWER

0.0811541027822513 ≈ 0.081154 Meter <-- Critical Depth of Channel GVF Flow

(Calculation completed in 00.004 seconds)

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< Wide Rectangular Channel Calculators

Critical Depth of Channel given Slope of Dynamic Equation of Gradually Varied Flow

LaTeX Go Critical Depth of Channel GVF Flow = ((1-(((1-((Normal Depth/Depth of Flow)^(10/3)))/(Slope of Line/Bed Slope of Channel)))^(1/3)))*Depth of Flow

Normal Depth of Channel given Slope of Dynamic Equation of Gradually Varied Flow

LaTeX Go Normal Depth = ((1-((Slope of Line/Bed Slope of Channel)*((1-(((Critical Depth of Weir/Depth of Flow)^(3)))))))^(3/10))*Depth of Flow

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

LaTeX Go Bed Slope of Channel = Slope of Line/(((1-((Normal Depth/Depth of Flow)^(10/3)))/(1-((Critical Depth of Weir/Depth of Flow)^(3)))))

Slope of Dynamic Equations of Gradually Varied Flow

LaTeX Go Slope of Line = Bed Slope of Channel*((1-((Normal Depth/Depth of Flow)^(10/3)))/(1-((Critical Depth of Weir/Depth of Flow)^(3))))

Critical Depth of Channel given Slope of Dynamic Equation of Gradually Varied Flow Formula

LaTeX Go

What is Critical Flow?

Choked flow is a compressible flow effect. The parameter that becomes "choked" or "limited" is the fluid velocity. Choked flow is a fluid dynamic condition associated with the venturi effect.

How to Calculate Critical Depth of Channel given Slope of Dynamic Equation of Gradually Varied Flow?

Critical Depth of Channel given Slope of Dynamic Equation of Gradually Varied Flow calculator uses Critical Depth of Channel GVF Flow = ((1-(((1-((Normal Depth/Depth of Flow)^(10/3)))/(Slope of Line/Bed Slope of Channel)))^(1/3)))*Depth of Flow to calculate the Critical Depth of Channel GVF Flow, Critical Depth of Channel given Slope of Dynamic Equation of Gradually Varied Flow is defined as critical flow when energy is minimum. Critical Depth of Channel GVF Flow is denoted by H_C symbol.

How to calculate Critical Depth of Channel given Slope of Dynamic Equation of Gradually Varied Flow using this online calculator? To use this online calculator for Critical Depth of Channel given Slope of Dynamic Equation of Gradually Varied Flow, enter Normal Depth (y), Depth of Flow (d_f), Slope of Line (m) & Bed Slope of Channel (S₀) and hit the calculate button. Here is how the Critical Depth of Channel given Slope of Dynamic Equation of Gradually Varied Flow calculation can be explained with given input values -> 14.53023 = ((1-(((1-((1.5/3.3)^(10/3)))/(4/4.001)))^(1/3)))*3.3.

FAQ

What is Critical Depth of Channel given Slope of Dynamic Equation of Gradually Varied Flow?

Critical Depth of Channel given Slope of Dynamic Equation of Gradually Varied Flow is defined as critical flow when energy is minimum and is represented as H_C = ((1-(((1-((y/d_f)^(10/3)))/(m/S₀)))^(1/3)))*d_f or Critical Depth of Channel GVF Flow = ((1-(((1-((Normal Depth/Depth of Flow)^(10/3)))/(Slope of Line/Bed Slope of Channel)))^(1/3)))*Depth of Flow. Normal Depth is a depth of flow in a channel or culvert when the slope of the water surface and channel bottom is the same and the water depth remains constant, Depth of Flow is the distance from the top or surface of the flow to the bottom of a channel or other waterway or Depth of Flow at the Vertical while measuring Sound Weights, 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 & Bed Slope of Channel is used to calculate the shear stress at the bed of an open channel containing fluid that is undergoing steady, uniform flow.

How to calculate Critical Depth of Channel given Slope of Dynamic Equation of Gradually Varied Flow?

Critical Depth of Channel given Slope of Dynamic Equation of Gradually Varied Flow is defined as critical flow when energy is minimum is calculated using Critical Depth of Channel GVF Flow = ((1-(((1-((Normal Depth/Depth of Flow)^(10/3)))/(Slope of Line/Bed Slope of Channel)))^(1/3)))*Depth of Flow. To calculate Critical Depth of Channel given Slope of Dynamic Equation of Gradually Varied Flow, you need Normal Depth (y), Depth of Flow (d_f), Slope of Line (m) & Bed Slope of Channel (S₀). With our tool, you need to enter the respective value for Normal Depth, Depth of Flow, Slope of Line & Bed Slope of Channel and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Critical Depth of Channel GVF Flow?

In this formula, Critical Depth of Channel GVF Flow uses Normal Depth, Depth of Flow, Slope of Line & Bed Slope of Channel. We can use 1 other way(s) to calculate the same, which is/are as follows -

Critical Depth of Channel GVF Flow = ((1-(((1-((Normal Depth/Depth of Flow)^(3)))/(Slope of Line/Bed Slope of Channel)))^(1/3)))*Depth of Flow

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