Depth of Water Flow in Channel given Velocity Approach Calculator

✖Discharge by Approach Velocity is the volumetric flow rate (in m 3 /h or ft 3 /h) of water transported through a given cross-sectional area.ⓘ Discharge by Approach Velocity [Q']			+10% -10%
✖Width of Channel1 is the width of Notch and weir.ⓘ Width of Channel1 [b]			+10% -10%
✖Velocity of Flow 1 is the flow of water over the channel.ⓘ Velocity of Flow 1 [v]			+10% -10%

✖Depth of Flow is the distance from the top or surface of the flow to the bottom of a channel or other waterway or Depth of Flow at the Vertical while measuring Sound Weights.ⓘ Depth of Water Flow in Channel given Velocity Approach [d_f]

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Formula

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Depth of Water Flow in Channel given Velocity Approach

Formula

`"d"_{"f"} = "Q'"/("b"*"v")`

Example

`"3.376358m"="153m³/s"/("3.001m"*"15.1m/s")`

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Download Flow Over Rectangular Sharp-Crested Weir or Notch Formulas PDF

Depth of Water Flow in Channel given Velocity Approach Solution

STEP 0: Pre-Calculation Summary

Formula Used

Depth of Flow = Discharge by Approach Velocity/(Width of Channel1*Velocity of Flow 1)
d_f = Q'/(b*v)
This formula uses 4 Variables

Variables Used

Depth of Flow - (Measured in Meter) - Depth of Flow is the distance from the top or surface of the flow to the bottom of a channel or other waterway or Depth of Flow at the Vertical while measuring Sound Weights.
Discharge by Approach Velocity - (Measured in Cubic Meter per Second) - Discharge by Approach Velocity is the volumetric flow rate (in m 3 /h or ft 3 /h) of water transported through a given cross-sectional area.
Width of Channel1 - (Measured in Meter) - Width of Channel1 is the width of Notch and weir.
Velocity of Flow 1 - (Measured in Meter per Second) - Velocity of Flow 1 is the flow of water over the channel.

STEP 1: Convert Input(s) to Base Unit

Discharge by Approach Velocity: 153 Cubic Meter per Second --> 153 Cubic Meter per Second No Conversion Required
Width of Channel1: 3.001 Meter --> 3.001 Meter No Conversion Required
Velocity of Flow 1: 15.1 Meter per Second --> 15.1 Meter per Second No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

d_f = Q'/(b*v) --> 153/(3.001*15.1)

Evaluating ... ...

d_f = 3.37635799104493

STEP 3: Convert Result to Output's Unit

3.37635799104493 Meter --> No Conversion Required

FINAL ANSWER

3.37635799104493 ≈ 3.376358 Meter <-- Depth of Flow

(Calculation completed in 00.004 seconds)

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Home » Engineering » Civil » Hydraulics and Waterworks » Flow Over Notches and Weirs » Flow Over Rectangular Sharp-Crested Weir or Notch » Depth of Water Flow in Channel given Velocity Approach

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Created by M Naveen

National Institute of Technology (NIT), Warangal

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Coorg Institute of Technology (CIT), Coorg

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< 17 Flow Over Rectangular Sharp-Crested Weir or Notch Calculators

Rehbocks Formula for Discharge over Rectangular Weir

Go Francis Discharge with Suppressed End = 2/3*(0.605+0.08*(Height of Water above Crest of Weir/Height of Crest)+(0.001/Height of Water above Crest of Weir))*sqrt(2*Acceleration due to Gravity)*Length of Weir Crest*Height of Water above Crest of Weir^(3/2)

Coefficient of Discharge given Discharge if Velocity considered

Go Coefficient of Discharge = (Francis Discharge*3)/(2*(sqrt(2*Acceleration due to Gravity))*(Length of Weir Crest-0.1*Number of End Contraction*Still Water Head)*(Still Water Head^(3/2)-Velocity Head^(3/2)))

Coefficient of Discharge given Discharge if Velocity not considered

Go Coefficient of Discharge = (Francis Discharge*3)/(2*(sqrt(2*Acceleration due to Gravity))*(Length of Weir Crest-0.1*Number of End Contraction*Height of Water above Crest of Weir)*Height of Water above Crest of Weir^(3/2))

Coefficient of Discharge given Discharge Passing over Weir considering Velocity

Go Coefficient of Discharge = (Francis Discharge with Suppressed End*3)/(2*(sqrt(2*Acceleration due to Gravity))*Length of Weir Crest*((Height of Water above Crest of Weir+Velocity Head)^(3/2)-Velocity Head^(3/2)))

Coefficient of Discharge given Discharge over Weir without considering Velocity

Go Coefficient of Discharge = (Francis Discharge with Suppressed End*3)/(2*(sqrt(2*Acceleration due to Gravity))*Length of Weir Crest*Height of Water above Crest of Weir^(3/2))

Coefficient when Bazin Formula for Discharge Velocity is not considered

Go Bazins Coefficient = Bazins Discharge without Velocity/(sqrt(2*Acceleration due to Gravity)*Length of Weir Crest*Height of Water above Crest of Weir^(3/2))

Bazins Formula for Discharge if Velocity is not considered

Go Bazins Discharge without Velocity = Bazins Coefficient*sqrt(2*Acceleration due to Gravity)*Length of Weir Crest*Height of Water above Crest of Weir^(3/2)

Francis Formula for Discharge for Rectangular Notch if Velocity is considered

Go Francis Discharge = 1.84*(Length of Weir Crest-0.1*Number of End Contraction*Still Water Head)*(Still Water Head^(3/2)-Velocity Head^(3/2))

Coefficient when Bazin Formula for Discharge if Velocity is considered

Go Bazins Coefficient = Bazins Discharge with Velocity/(sqrt(2*Acceleration due to Gravity)*Length of Weir Crest*Still Water Head^(3/2))

Bazins Formula for Discharge if Velocity is considered

Go Bazins Discharge with Velocity = Bazins Coefficient*sqrt(2*Acceleration due to Gravity)*Length of Weir Crest*Still Water Head^(3/2)

Francis Formula for Discharge for Rectangular Notch if Velocity not considered

Go Francis Discharge = 1.84*(Length of Weir Crest-0.1*Number of End Contraction*Height of Water above Crest of Weir)*Height of Water above Crest of Weir^(3/2)

Rehbocks Formula for Coefficient of Discharge

Go Coefficient of Discharge = 0.605+0.08*(Height of Water above Crest of Weir/Height of Crest)+(0.001/Height of Water above Crest of Weir)

Approach Velocity

Go Velocity of Flow 1 = Discharge by Approach Velocity/(Width of Channel1*Depth of Flow)

Depth of Water Flow in Channel given Velocity Approach

Go Depth of Flow = Discharge by Approach Velocity/(Width of Channel1*Velocity of Flow 1)

Width of Channel given Velocity Approach

Go Width of Channel1 = Discharge by Approach Velocity/(Velocity of Flow 1*Depth of Flow)

Coefficient for Bazin Formula

Go Bazins Coefficient = 0.405+(0.003/Height of Water above Crest of Weir)

Coefficient for Bazin Formula if Velocity is considered

Go Bazins Coefficient = 0.405+(0.003/Still Water Head)

Depth of Water Flow in Channel given Velocity Approach Formula

Depth of Flow = Discharge by Approach Velocity/(Width of Channel1*Velocity of Flow 1)
d_f = Q'/(b*v)

What is Discharge?

In hydrology, discharge is the volumetric flow rate of water that is transported through a given cross-sectional area.

What is a weir?

A weir or low head dam is a barrier across the width of a river that alters the flow characteristics of water and usually results in a change in the height of the river level. They are also used to control the flow of water for outlets of lakes, ponds, and reservoirs.

How to Calculate Depth of Water Flow in Channel given Velocity Approach?

Depth of Water Flow in Channel given Velocity Approach calculator uses Depth of Flow = Discharge by Approach Velocity/(Width of Channel1*Velocity of Flow 1) to calculate the Depth of Flow, Depth of Water Flow in Channel given Velocity Approach can be described as measuring of depth of channel from water level of channel. Depth of Flow is denoted by d_f symbol.

How to calculate Depth of Water Flow in Channel given Velocity Approach using this online calculator? To use this online calculator for Depth of Water Flow in Channel given Velocity Approach, enter Discharge by Approach Velocity (Q'), Width of Channel1 (b) & Velocity of Flow 1 (v) and hit the calculate button. Here is how the Depth of Water Flow in Channel given Velocity Approach calculation can be explained with given input values -> 3.268532 = 153/(3.001*15.1).

FAQ

What is Depth of Water Flow in Channel given Velocity Approach?

Depth of Water Flow in Channel given Velocity Approach can be described as measuring of depth of channel from water level of channel and is represented as d_f = Q'/(b*v) or Depth of Flow = Discharge by Approach Velocity/(Width of Channel1*Velocity of Flow 1). Discharge by Approach Velocity is the volumetric flow rate (in m 3 /h or ft 3 /h) of water transported through a given cross-sectional area, Width of Channel1 is the width of Notch and weir & Velocity of Flow 1 is the flow of water over the channel.

How to calculate Depth of Water Flow in Channel given Velocity Approach?

Depth of Water Flow in Channel given Velocity Approach can be described as measuring of depth of channel from water level of channel is calculated using Depth of Flow = Discharge by Approach Velocity/(Width of Channel1*Velocity of Flow 1). To calculate Depth of Water Flow in Channel given Velocity Approach, you need Discharge by Approach Velocity (Q'), Width of Channel1 (b) & Velocity of Flow 1 (v). With our tool, you need to enter the respective value for Discharge by Approach Velocity, Width of Channel1 & Velocity of Flow 1 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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