Chezy Formula for Depth of Flow given Energy Slope of Rectangular Channel Solution

STEP 0: Pre-Calculation Summary
Formula Used
Depth of Flow = Critical Depth of Channel/((Energy Slope/Bed Slope of Channel)^(1/3))
df = C/((Sf/S0)^(1/3))
This formula uses 4 Variables
Variables Used
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.
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.
STEP 1: Convert Input(s) to Base Unit
Critical Depth of Channel: 3 Meter --> 3 Meter No Conversion Required
Energy Slope: 2.001 --> No Conversion Required
Bed Slope of Channel: 4.001 --> No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
df = C/((Sf/S0)^(1/3)) --> 3/((2.001/4.001)^(1/3))
Evaluating ... ...
df = 3.7794483006078
STEP 3: Convert Result to Output's Unit
3.7794483006078 Meter --> No Conversion Required
FINAL ANSWER
3.7794483006078 3.779448 Meter <-- Depth of Flow
(Calculation completed in 00.004 seconds)

Credits

Created by Rithik Agrawal
National Institute of Technology Karnataka (NITK), Surathkal
Rithik Agrawal has created this Calculator and 1300+ more calculators!
Verified by Ishita Goyal
Meerut Institute of Engineering and Technology (MIET), Meerut
Ishita Goyal has verified this Calculator and 2600+ more calculators!

24 Gradually Varied Flow in Channels Calculators

Area of Section given Energy Gradient
Go Wetted Surface Area = (Discharge by Energy Gradient^2*Top Width/((1-(Hydraulic Gradient to Head Loss/Slope of Line))*([g])))^(1/3)
Discharge given Energy Gradient
Go Discharge by Energy Gradient = (((1-(Hydraulic Gradient to Head Loss/Slope of Line))*([g]*Wetted Surface Area^3)/Top Width))^0.5
Top Width given Energy Gradient
Go Top Width = ((1-(Hydraulic Gradient to Head Loss/Slope of Line))*([g]*Wetted Surface Area^3)/Discharge by Energy Gradient^2)
Slope of Dynamic Equation of Gradually Varied Flow given Energy Gradient
Go Slope of Line = Hydraulic Gradient to Head Loss/(1-(Discharge by Energy Gradient^2*Top Width/([g]*Wetted Surface Area^3)))
Energy Gradient given Slope
Go Hydraulic Gradient to Head Loss = (1-(Discharge by Energy Gradient^2*Top Width/([g]*Wetted Surface Area^3)))*Slope of Line
Froude Number given Top Width
Go Froude Number = sqrt(Discharge for GVF Flow^2*Top Width/([g]*Wetted Surface Area^3))
Discharge given Froude Number
Go Discharge for GVF Flow = Froude Number/(sqrt(Top Width/([g]*Wetted Surface Area^3)))
Area of Section given Total Energy
Go Wetted Surface Area = ((Discharge for GVF Flow^2)/(2*[g]*(Total Energy in Open Channel-Depth of Flow)))^0.5
Depth of Flow given Total Energy
Go Depth of Flow = Total Energy in Open Channel-((Discharge for GVF Flow^2)/(2*[g]*Wetted Surface Area^2))
Discharge given Total Energy
Go Discharge for GVF Flow = ((Total Energy in Open Channel-Depth of Flow)*2*[g]*Wetted Surface Area^2)^0.5
Total Energy of Flow
Go Total Energy in Open Channel = Depth of Flow+(Discharge for GVF Flow^2)/(2*[g]*Wetted Surface Area^2)
Froude Number given Slope of Dynamic Equation of Gradually Varied Flow
Go Froude No by Dynamic Equation = sqrt(1-((Bed Slope of Channel-Energy Slope)/Slope of Line))
Area of Section given Froude Number
Go Wetted Surface Area = ((Discharge for GVF Flow^2*Top Width/([g]*Froude Number^2)))^(1/3)
Top Width given Froude Number
Go Top Width = (Froude Number^2*Wetted Surface Area^3*[g])/(Discharge for GVF Flow^2)
Bed Slope given Slope of Dynamic Equation of Gradually Varied Flow
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
Go Slope of Line = (Bed Slope of Channel-Energy Slope)/(1-(Froude No by Dynamic Equation^2))
Depth of Flow given Energy Slope of Rectangular channel
Go Depth of Flow = Critical Depth of Channel/((Energy Slope/Bed Slope of Channel)^(3/10))
Normal Depth given Energy Slope of Rectangular channel
Go Critical Depth of Channel = ((Energy Slope/Bed Slope of Channel)^(3/10))*Depth of Flow
Chezy Formula for Depth of Flow given Energy Slope of Rectangular Channel
Go Depth of Flow = Critical Depth of Channel/((Energy Slope/Bed Slope of Channel)^(1/3))
Chezy Formula for Normal Depth given Energy Slope of Rectangular Channel
Go Critical Depth of Channel = ((Energy Slope/Bed Slope of Channel)^(1/3))*Depth of Flow
Bed Slope given Energy Slope of Rectangular channel
Go Bed Slope of Channel = Energy Slope/(Critical Depth of Channel/Depth of Flow)^(10/3)
Chezy Formula for Bed Slope given Energy Slope of Rectangular Channel
Go Bed Slope of Channel = Energy Slope/(Critical Depth of Channel/Depth of Flow)^(3)
Bottom Slope of Channel given Energy Gradient
Go Bed Slope of Channel = Hydraulic Gradient to Head Loss+Energy Slope
Energy Gradient given Bed Slope
Go Hydraulic Gradient to Head Loss = Bed Slope of Channel-Energy Slope

Chezy Formula for Depth of Flow given Energy Slope of Rectangular Channel Formula

Depth of Flow = Critical Depth of Channel/((Energy Slope/Bed Slope of Channel)^(1/3))
df = C/((Sf/S0)^(1/3))

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 Chezy Formula for Depth of Flow given Energy Slope of Rectangular Channel?

Chezy Formula for Depth of Flow given Energy Slope of Rectangular Channel calculator uses Depth of Flow = Critical Depth of Channel/((Energy Slope/Bed Slope of Channel)^(1/3)) to calculate the Depth of Flow, The Chezy Formula for Depth of Flow given Energy Slope of Rectangular Channel is defined as the amount of fluid in the channel. Depth of Flow is denoted by df symbol.

How to calculate Chezy Formula for Depth of Flow given Energy Slope of Rectangular Channel using this online calculator? To use this online calculator for Chezy Formula for Depth of Flow given Energy Slope of Rectangular Channel, enter Critical Depth of Channel (C), Energy Slope (Sf) & Bed Slope of Channel (S0) and hit the calculate button. Here is how the Chezy Formula for Depth of Flow given Energy Slope of Rectangular Channel calculation can be explained with given input values -> 3.779448 = 3/((2.001/4.001)^(1/3)).

FAQ

What is Chezy Formula for Depth of Flow given Energy Slope of Rectangular Channel?
The Chezy Formula for Depth of Flow given Energy Slope of Rectangular Channel is defined as the amount of fluid in the channel and is represented as df = C/((Sf/S0)^(1/3)) or Depth of Flow = Critical Depth of Channel/((Energy Slope/Bed Slope of Channel)^(1/3)). Critical Depth of Channel occurs when the flow in a channel has a minimum specific energy, 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.
How to calculate Chezy Formula for Depth of Flow given Energy Slope of Rectangular Channel?
The Chezy Formula for Depth of Flow given Energy Slope of Rectangular Channel is defined as the amount of fluid in the channel is calculated using Depth of Flow = Critical Depth of Channel/((Energy Slope/Bed Slope of Channel)^(1/3)). To calculate Chezy Formula for Depth of Flow given Energy Slope of Rectangular Channel, you need Critical Depth of Channel (C), Energy Slope (Sf) & Bed Slope of Channel (S0). With our tool, you need to enter the respective value for Critical Depth of Channel, Energy Slope & 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 Depth of Flow?
In this formula, Depth of Flow uses Critical Depth of Channel, Energy Slope & Bed Slope of Channel. We can use 2 other way(s) to calculate the same, which is/are as follows -
  • Depth of Flow = Total Energy in Open Channel-((Discharge for GVF Flow^2)/(2*[g]*Wetted Surface Area^2))
  • Depth of Flow = Critical Depth of Channel/((Energy Slope/Bed Slope of Channel)^(3/10))
Let Others Know
Facebook
Twitter
Reddit
LinkedIn
Email
WhatsApp
Copied!