Minimum Specific Energy using Critical Depth Calculator

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Properties of Surfaces and Solids

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Flow in Open Channels

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✖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 Depth for Flow in Open Channel [h_c]

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✖Minimum specific energy for open channel flow is the energy length, or head, relative to the channel bottom in open channels.ⓘ Minimum Specific Energy using Critical Depth [E_min]

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Formula

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Minimum Specific Energy using Critical Depth

Formula

`"E"_{"min"} = (3/2)*"h"_{"c"}`

Example

`"0.5835m"=(3/2)*"0.389m"`

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Minimum Specific Energy using Critical Depth Solution

STEP 0: Pre-Calculation Summary

Formula Used

Minimum Specific Energy for Open Channel Flow = (3/2)*Critical Depth for Flow in Open Channel
E_min = (3/2)*h_c
This formula uses 2 Variables

Variables Used

Minimum Specific Energy for Open Channel Flow - (Measured in Meter) - Minimum specific energy for open channel flow is the energy length, or head, relative to the channel bottom in open channels.
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.

STEP 1: Convert Input(s) to Base Unit

Critical Depth for Flow in Open Channel: 0.389 Meter --> 0.389 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

E_min = (3/2)*h_c --> (3/2)*0.389

Evaluating ... ...

E_min = 0.5835

STEP 3: Convert Result to Output's Unit

0.5835 Meter --> No Conversion Required

FINAL ANSWER

0.5835 Meter <-- Minimum Specific Energy for Open Channel Flow

(Calculation completed in 00.004 seconds)

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Credits

Created by Maiarutselvan V

PSG College of Technology (PSGCT), Coimbatore

Maiarutselvan V has created this Calculator and 300+ more calculators!

Verified by Sanjay Krishna

Amrita School of Engineering (ASE), Vallikavu

Sanjay Krishna has verified this Calculator and 200+ more calculators!

< 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

Minimum Specific Energy using Critical Depth Formula

Minimum Specific Energy for Open Channel Flow = (3/2)*Critical Depth for Flow in Open Channel
E_min = (3/2)*h_c

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 specific energy in open channels?

In open channel flow, specific energy ( e ) is the energy length, or head, relative to the channel bottom. It is also the fundamental relationship used in the standard step method to calculate how the depth of a flow changes over a reach from the energy gained or lost due to the slope of the channel.

How to Calculate Minimum Specific Energy using Critical Depth?

Minimum Specific Energy using Critical Depth calculator uses Minimum Specific Energy for Open Channel Flow = (3/2)*Critical Depth for Flow in Open Channel to calculate the Minimum Specific Energy for Open Channel Flow, The Minimum specific energy using critical depth in the open channels formula is known with relation to the critical depth along with a constant value. Minimum Specific Energy for Open Channel Flow is denoted by E_min symbol.

How to calculate Minimum Specific Energy using Critical Depth using this online calculator? To use this online calculator for Minimum Specific Energy using Critical Depth, enter Critical Depth for Flow in Open Channel (h_c) and hit the calculate button. Here is how the Minimum Specific Energy using Critical Depth calculation can be explained with given input values -> 0.5835 = (3/2)*0.389.

FAQ

What is Minimum Specific Energy using Critical Depth?

The Minimum specific energy using critical depth in the open channels formula is known with relation to the critical depth along with a constant value and is represented as E_min = (3/2)*h_c or Minimum Specific Energy for Open Channel Flow = (3/2)*Critical Depth for Flow in Open Channel. 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.

How to calculate Minimum Specific Energy using Critical Depth?

The Minimum specific energy using critical depth in the open channels formula is known with relation to the critical depth along with a constant value is calculated using Minimum Specific Energy for Open Channel Flow = (3/2)*Critical Depth for Flow in Open Channel. To calculate Minimum Specific Energy using Critical Depth, you need Critical Depth for Flow in Open Channel (h_c). With our tool, you need to enter the respective value for Critical Depth 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.

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