Critical depth considering flow in open channels Solution

STEP 0: Pre-Calculation Summary
Formula Used
Critical Depth for Flow in Open Channel = ((Discharge Per Unit Width in Open Channel^2)/[g])^(1/3)
hc = ((q^2)/[g])^(1/3)
This formula uses 1 Constants, 2 Variables
Constants Used
[g] - Gravitational acceleration on Earth Value Taken As 9.80665
Variables Used
Critical Depth for Flow in Open Channel - (Measured in Meter) - Critical depth for flow in open channel is defined as the depth of flow where energy is at a minimum for a particular discharge in the open channel.
Discharge Per Unit Width in Open Channel - (Measured in Square Meter per Second) - Discharge per unit width in open channel is the ratio of total discharge in the channel to the width considered.
STEP 1: Convert Input(s) to Base Unit
Discharge Per Unit Width in Open Channel: 0.76 Square Meter per Second --> 0.76 Square Meter per Second No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
hc = ((q^2)/[g])^(1/3) --> ((0.76^2)/[g])^(1/3)
Evaluating ... ...
hc = 0.389076950216098
STEP 3: Convert Result to Output's Unit
0.389076950216098 Meter --> No Conversion Required
FINAL ANSWER
0.389076950216098 0.389077 Meter <-- Critical Depth for Flow in Open Channel
(Calculation completed in 00.004 seconds)

Credits

Created by Maiarutselvan V
PSG College of Technology (PSGCT), Coimbatore
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Amrita School of Engineering (ASE), Vallikavu
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19 Flow in Open Channels Calculators

Chezy's constant considering Kutter's formula
Go Chezy's Constant for Flow in Open Channel = (23+(0.00155/Slope of Bed of Open Channel)+(1/Manning’s Coefficient for Open Channel Flow))/(1+(23+(0.00155/Slope of Bed of Open Channel))*(Manning’s Coefficient for Open Channel Flow/sqrt(Hydraulic Mean Depth for Open Channel)))
Area of Flow for Circular Channel
Go Area of Flow of Circular Channel = (Radius of Circular Open Channel^2)*(Half Angle by Water Surface in Circular Channel-((sin(2*Half Angle by Water Surface in Circular Channel))/2))
Chezy's constant considering velocity
Go Chezy's Constant for Flow in Open Channel = Flow Velocity in Open Channel/(sqrt(Hydraulic Mean Depth for Open Channel*Slope of Bed of Open Channel))
Velocity of Chezy's formula
Go Flow Velocity in Open Channel = Chezy's Constant for Flow in Open Channel*sqrt(Hydraulic Mean Depth for Open Channel*Slope of Bed of Open Channel)
Hydraulic mean depth using Chezy's formula
Go Hydraulic Mean Depth for Open Channel = (1/Slope of Bed of Open Channel)*(Flow Velocity in Open Channel/Chezy's Constant for Flow in Open Channel)^2
Bazin's constant
Go Bazin's Constant for Flow in Open Channel = (sqrt(Hydraulic Mean Depth for Open Channel))*((157.6/Chezy's Constant for Flow in Open Channel)-1.81)
Chezy's constant considering Bazin formula
Go Chezy's Constant for Flow in Open Channel = 157.6/(1.81+(Bazin's Constant for Flow in Open Channel/sqrt(Hydraulic Mean Depth for Open Channel)))
Hydraulic mean depth considering Bazin formula
Go Hydraulic Mean Depth for Open Channel = (Bazin's Constant for Flow in Open Channel/(((157.6/Chezy's Constant for Flow in Open Channel)-1.81)))^2
Chezy's constant considering Manning's formula
Go Chezy's Constant for Flow in Open Channel = (1/Manning’s Coefficient for Open Channel Flow)*(Hydraulic Mean Depth for Open Channel^(1/6))
Manning's coefficient or constant
Go Manning’s Coefficient for Open Channel Flow = (1/Chezy's Constant for Flow in Open Channel)*Hydraulic Mean Depth for Open Channel^(1/6)
Hydraulic mean depth considering Manning's formula
Go Hydraulic Mean Depth for Open Channel = (Chezy's Constant for Flow in Open Channel*Manning’s Coefficient for Open Channel Flow)^6
Discharge per unit width considering flow in open channels
Go Discharge Per Unit Width in Open Channel = sqrt((Critical Depth for Flow in Open Channel^3)*[g])
Radius of Circular Channel using Wetted Perimeter
Go Radius of Circular Open Channel = Wetted Perimeter of Circular Open Channel/(2*Half Angle by Water Surface in Circular Channel)
Critical velocity considering flow in open channels
Go Critical Velocity for Flow in Open Channel = sqrt([g]*Critical Depth for Flow in Open Channel)
Wetted Perimeter for Circular Channel
Go Wetted Perimeter of Circular Open Channel = 2*Radius of Circular Open Channel*Half Angle by Water Surface in Circular Channel
Critical depth considering flow in open channels
Go Critical Depth for Flow in Open Channel = ((Discharge Per Unit Width in Open Channel^2)/[g])^(1/3)
Critical Depth using Critical Velocity
Go Critical Depth for Flow in Open Channel = (Critical Velocity for Flow in Open Channel^2)/[g]
Critical depth considering minimum specific energy
Go Critical Depth for Flow in Open Channel = (2/3)*Minimum Specific Energy for Open Channel Flow
Minimum Specific Energy using Critical Depth
Go Minimum Specific Energy for Open Channel Flow = (3/2)*Critical Depth for Flow in Open Channel

Critical depth considering flow in open channels Formula

Critical Depth for Flow in Open Channel = ((Discharge Per Unit Width in Open Channel^2)/[g])^(1/3)
hc = ((q^2)/[g])^(1/3)

What is critical depth in open channels?

The concept of critical depth is conventionally defined in open-channel hydraulics (Chow 1959; Montes 1998; Chanson 2004) as the depth at which the specific energy reaches a minimum value, considering the mean specific energy Hm within the whole flow section inflows with parallel streamlines.

What is meant by an critical slope?

The critical slope is a key parameter occurring in the analysis of varied flow in open channels. The critical slope Sc is defined as the slope that would make the given discharge in uniform motion in a critical state.

How to Calculate Critical depth considering flow in open channels?

Critical depth considering flow in open channels calculator uses Critical Depth for Flow in Open Channel = ((Discharge Per Unit Width in Open Channel^2)/[g])^(1/3) to calculate the Critical Depth for Flow in Open Channel, The Critical depth considering flow in open channels is known while considering the square of discharge per unit depth of the flow considering the gravity. Critical Depth for Flow in Open Channel is denoted by hc symbol.

How to calculate Critical depth considering flow in open channels using this online calculator? To use this online calculator for Critical depth considering flow in open channels, enter Discharge Per Unit Width in Open Channel (q) and hit the calculate button. Here is how the Critical depth considering flow in open channels calculation can be explained with given input values -> 0.389077 = ((0.76^2)/[g])^(1/3).

FAQ

What is Critical depth considering flow in open channels?
The Critical depth considering flow in open channels is known while considering the square of discharge per unit depth of the flow considering the gravity and is represented as hc = ((q^2)/[g])^(1/3) or Critical Depth for Flow in Open Channel = ((Discharge Per Unit Width in Open Channel^2)/[g])^(1/3). Discharge per unit width in open channel is the ratio of total discharge in the channel to the width considered.
How to calculate Critical depth considering flow in open channels?
The Critical depth considering flow in open channels is known while considering the square of discharge per unit depth of the flow considering the gravity is calculated using Critical Depth for Flow in Open Channel = ((Discharge Per Unit Width in Open Channel^2)/[g])^(1/3). To calculate Critical depth considering flow in open channels, you need Discharge Per Unit Width in Open Channel (q). With our tool, you need to enter the respective value for Discharge Per Unit Width in Open 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 for Flow in Open Channel?
In this formula, Critical Depth for Flow in Open Channel uses Discharge Per Unit Width in Open Channel. We can use 2 other way(s) to calculate the same, which is/are as follows -
  • Critical Depth for Flow in Open Channel = (2/3)*Minimum Specific Energy for Open Channel Flow
  • Critical Depth for Flow in Open Channel = (Critical Velocity for Flow in Open Channel^2)/[g]
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