Critical Depth using Critical Velocity Solution

STEP 0: Pre-Calculation Summary
Formula Used
Critical Depth for Flow in Open Channel = (Critical Velocity for Flow in Open Channel^2)/[g]
hc = (Vc^2)/[g]
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.
Critical Velocity for Flow in Open Channel - (Measured in Meter per Second) - Critical velocity for flow in open channel is the greatest velocity with which a fluid can flow through a given conduit without becoming turbulent.
STEP 1: Convert Input(s) to Base Unit
Critical Velocity for Flow in Open Channel: 1.95 Meter per Second --> 1.95 Meter per Second No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
hc = (Vc^2)/[g] --> (1.95^2)/[g]
Evaluating ... ...
hc = 0.387747089984857
STEP 3: Convert Result to Output's Unit
0.387747089984857 Meter --> No Conversion Required
FINAL ANSWER
0.387747089984857 0.387747 Meter <-- Critical Depth for Flow in Open Channel
(Calculation completed in 00.004 seconds)

Credits

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Created by Maiarutselvan V
PSG College of Technology (PSGCT), Coimbatore
Maiarutselvan V has created this Calculator and 300+ more calculators!
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Verified by Sanjay Krishna
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 using Critical Velocity Formula

​LaTeX ​Go
Critical Depth for Flow in Open Channel = (Critical Velocity for Flow in Open Channel^2)/[g]
hc = (Vc^2)/[g]

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 critical velocity?

Critical velocity is defined as the speed at which a falling object reaches when both gravity and air resistance are equalized on the object. The other way of defining critical velocity is the speed and direction at which the fluid can flow through a conduit without becoming turbulent.

How to Calculate Critical Depth using Critical Velocity?

Critical Depth using Critical Velocity calculator uses Critical Depth for Flow in Open Channel = (Critical Velocity for Flow in Open Channel^2)/[g] to calculate the Critical Depth for Flow in Open Channel, The Critical depth using critical velocity formula is known while considering the square of the critical velocity to the gravity. Critical Depth for Flow in Open Channel is denoted by hc symbol.

How to calculate Critical Depth using Critical Velocity using this online calculator? To use this online calculator for Critical Depth using Critical Velocity, enter Critical Velocity for Flow in Open Channel (Vc) and hit the calculate button. Here is how the Critical Depth using Critical Velocity calculation can be explained with given input values -> 0.387747 = (1.95^2)/[g].

FAQ

What is Critical Depth using Critical Velocity?
The Critical depth using critical velocity formula is known while considering the square of the critical velocity to the gravity and is represented as hc = (Vc^2)/[g] or Critical Depth for Flow in Open Channel = (Critical Velocity for Flow in Open Channel^2)/[g]. Critical velocity for flow in open channel is the greatest velocity with which a fluid can flow through a given conduit without becoming turbulent.
How to calculate Critical Depth using Critical Velocity?
The Critical depth using critical velocity formula is known while considering the square of the critical velocity to the gravity is calculated using Critical Depth for Flow in Open Channel = (Critical Velocity for Flow in Open Channel^2)/[g]. To calculate Critical Depth using Critical Velocity, you need Critical Velocity for Flow in Open Channel (Vc). With our tool, you need to enter the respective value for Critical Velocity for Flow 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 Critical Velocity for Flow 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 = ((Discharge Per Unit Width in Open Channel^2)/[g])^(1/3)
  • Critical Depth for Flow in Open Channel = (2/3)*Minimum Specific Energy for Open Channel Flow
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