Normal Depth given Energy Slope of Rectangular channel Solution

STEP 0: Pre-Calculation Summary
Formula Used
Critical Depth of Channel = ((Energy Slope/Bed Slope of Channel)^(3/10))*Depth of Flow
C = ((Sf/S0)^(3/10))*df
This formula uses 4 Variables
Variables Used
Critical Depth of Channel - (Measured in Meter) - Critical Depth of Channel occurs when the flow in a channel has a minimum specific energy.
Energy Slope - Energy Slope is at a distance equal to the velocity head above the hydraulic gradient.
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.
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.
STEP 1: Convert Input(s) to Base Unit
Energy Slope: 2.001 --> No Conversion Required
Bed Slope of Channel: 4.001 --> No Conversion Required
Depth of Flow: 3.3 Meter --> 3.3 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
C = ((Sf/S0)^(3/10))*df --> ((2.001/4.001)^(3/10))*3.3
Evaluating ... ...
C = 2.68063387261906
STEP 3: Convert Result to Output's Unit
2.68063387261906 Meter --> No Conversion Required
FINAL ANSWER
2.68063387261906 2.680634 Meter <-- Critical Depth of Channel
(Calculation completed in 00.020 seconds)

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National Institute of Technology Karnataka (NITK), Surathkal
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​ LaTeX ​ Go Froude Number = sqrt(Discharge for GVF Flow^2*Top Width/([g]*Wetted Surface Area^3))
Froude Number given Slope of Dynamic Equation of Gradually Varied Flow
​ LaTeX ​ Go Froude No by Dynamic Equation = sqrt(1-((Bed Slope of Channel-Energy Slope)/Slope of Line))
Bed Slope given Slope of Dynamic Equation of Gradually Varied Flow
​ LaTeX ​ Go Bed Slope of Channel = Energy Slope+(Slope of Line*(1-(Froude No by Dynamic Equation^2)))
Slope of Dynamic Equation of Gradually Varied Flows
​ LaTeX ​ Go Slope of Line = (Bed Slope of Channel-Energy Slope)/(1-(Froude No by Dynamic Equation^2))

Normal Depth given Energy Slope of Rectangular channel Formula

​LaTeX ​Go
Critical Depth of Channel = ((Energy Slope/Bed Slope of Channel)^(3/10))*Depth of Flow
C = ((Sf/S0)^(3/10))*df

What is Gradually Varied Flow?

Gradually varied. flow (GVF), which is a form of steady. nonuniform flow characterized by gradual variations in flow depth and velocity (small slopes and no abrupt changes) and a free surface that always remains smooth (no discontinuities or zigzags).

How to Calculate Normal Depth given Energy Slope of Rectangular channel?

Normal Depth given Energy Slope of Rectangular channel calculator uses Critical Depth of Channel = ((Energy Slope/Bed Slope of Channel)^(3/10))*Depth of Flow to calculate the Critical Depth of Channel, The Normal Depth given Energy Slope of Rectangular channel formula is defined as the critical depth in particular condition. Critical Depth of Channel is denoted by C symbol.

How to calculate Normal Depth given Energy Slope of Rectangular channel using this online calculator? To use this online calculator for Normal Depth given Energy Slope of Rectangular channel, enter Energy Slope (Sf), Bed Slope of Channel (S0) & Depth of Flow (df) and hit the calculate button. Here is how the Normal Depth given Energy Slope of Rectangular channel calculation can be explained with given input values -> 2.680634 = ((2.001/4.001)^(3/10))*3.3.

FAQ

What is Normal Depth given Energy Slope of Rectangular channel?
The Normal Depth given Energy Slope of Rectangular channel formula is defined as the critical depth in particular condition and is represented as C = ((Sf/S0)^(3/10))*df or Critical Depth of Channel = ((Energy Slope/Bed Slope of Channel)^(3/10))*Depth of Flow. Energy Slope is at a distance equal to the velocity head above the hydraulic gradient, 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 & 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.
How to calculate Normal Depth given Energy Slope of Rectangular channel?
The Normal Depth given Energy Slope of Rectangular channel formula is defined as the critical depth in particular condition is calculated using Critical Depth of Channel = ((Energy Slope/Bed Slope of Channel)^(3/10))*Depth of Flow. To calculate Normal Depth given Energy Slope of Rectangular channel, you need Energy Slope (Sf), Bed Slope of Channel (S0) & Depth of Flow (df). With our tool, you need to enter the respective value for Energy Slope, Bed Slope of Channel & Depth of Flow 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?
In this formula, Critical Depth of Channel uses Energy Slope, Bed Slope of Channel & Depth of Flow. We can use 1 other way(s) to calculate the same, which is/are as follows -
  • Critical Depth of Channel = ((Energy Slope/Bed Slope of Channel)^(1/3))*Depth of Flow
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