Discharge per unit width considering flow in open channels Solution

STEP 0: Pre-Calculation Summary
Formula Used
Discharge Per Unit Width in Open Channel = sqrt((Critical Depth for Flow in Open Channel^3)*[g])
q = sqrt((hc^3)*[g])
This formula uses 1 Constants, 1 Functions, 2 Variables
Constants Used
[g] - Gravitational acceleration on Earth Value Taken As 9.80665
Functions Used
sqrt - A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number., sqrt(Number)
Variables Used
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.
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
q = sqrt((hc^3)*[g]) --> sqrt((0.389^3)*[g])
Evaluating ... ...
q = 0.759774546118024
STEP 3: Convert Result to Output's Unit
0.759774546118024 Square Meter per Second --> No Conversion Required
FINAL ANSWER
0.759774546118024 0.759775 Square Meter per Second <-- Discharge Per Unit Width 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

Discharge per unit width considering flow in open channels Formula

Discharge Per Unit Width in Open Channel = sqrt((Critical Depth for Flow in Open Channel^3)*[g])
q = sqrt((hc^3)*[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 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 Discharge per unit width considering flow in open channels?

Discharge per unit width considering flow in open channels calculator uses Discharge Per Unit Width in Open Channel = sqrt((Critical Depth for Flow in Open Channel^3)*[g]) to calculate the Discharge Per Unit Width in Open Channel, The Discharge per unit width considering flow in open channels is known while considering the critical depth to the power of three and gravity. Discharge Per Unit Width in Open Channel is denoted by q symbol.

How to calculate Discharge per unit width considering flow in open channels using this online calculator? To use this online calculator for Discharge per unit width considering flow in open channels, enter Critical Depth for Flow in Open Channel (hc) and hit the calculate button. Here is how the Discharge per unit width considering flow in open channels calculation can be explained with given input values -> 0.759775 = sqrt((0.389^3)*[g]).

FAQ

What is Discharge per unit width considering flow in open channels?
The Discharge per unit width considering flow in open channels is known while considering the critical depth to the power of three and gravity and is represented as q = sqrt((hc^3)*[g]) or Discharge Per Unit Width in Open Channel = sqrt((Critical Depth for Flow in Open Channel^3)*[g]). 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 Discharge per unit width considering flow in open channels?
The Discharge per unit width considering flow in open channels is known while considering the critical depth to the power of three and gravity is calculated using Discharge Per Unit Width in Open Channel = sqrt((Critical Depth for Flow in Open Channel^3)*[g]). To calculate Discharge per unit width considering flow in open channels, you need Critical Depth for Flow in Open Channel (hc). 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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