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

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PSG College of Technology (PSGCT), Coimbatore
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Amrita School of Engineering (ASE), Vallikavu
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Flow in Open Channels Calculators

Chezy's constant considering velocity
​ LaTeX ​ 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
​ LaTeX ​ 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
​ LaTeX ​ 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
Chezy's constant considering Bazin formula
​ LaTeX ​ 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)))

Critical depth considering flow in open channels Formula

​LaTeX ​Go
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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