Discharge given Velocity Approach Solution

STEP 0: Pre-Calculation Summary
Formula Used
Discharge by Approach Velocity = Velocity of Flow 1*(Width of Channel1*Depth of Flow)
Q' = v*(b*df)
This formula uses 4 Variables
Variables Used
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.
Velocity of Flow 1 - (Measured in Meter per Second) - Velocity of Flow 1 is the flow of water over the channel.
Width of Channel1 - (Measured in Meter) - Width of Channel1 is the width of Notch and weir.
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.
STEP 1: Convert Input(s) to Base Unit
Velocity of Flow 1: 15.1 Meter per Second --> 15.1 Meter per Second No Conversion Required
Width of Channel1: 3.001 Meter --> 3.001 Meter No Conversion Required
Depth of Flow: 3.3 Meter --> 3.3 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Q' = v*(b*df) --> 15.1*(3.001*3.3)
Evaluating ... ...
Q' = 149.53983
STEP 3: Convert Result to Output's Unit
149.53983 Cubic Meter per Second --> No Conversion Required
FINAL ANSWER
149.53983 149.5398 Cubic Meter per Second <-- Discharge by Approach Velocity
(Calculation completed in 00.004 seconds)

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Created by M Naveen
National Institute of Technology (NIT), Warangal
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7 Discharge Calculators

Discharge considering Approach Velocity
Go Francis Discharge = (2/3)*Coefficient of Discharge*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))
Discharge Passing over Weir considering Velocity
Go Francis Discharge with Suppressed End = (2/3)*Coefficient of Discharge*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))
Discharge over Weir without considering Velocity
Go Francis Discharge with Suppressed End = (2/3)*Coefficient of Discharge*sqrt(2*Acceleration due to Gravity)*Length of Weir Crest*Height of Water above Crest of Weir^(3/2)
Discharge for Notch which is to be Calibrated
Go Francis Discharge with Suppressed End = Constant of Flow*Height of Water above Crest of Weir^Number of End Contraction
Discharge when End Contractions is suppressed and Velocity is considered
Go Francis Discharge with Suppressed End = 1.84*Length of Weir Crest*(Still Water Head^(3/2)-Velocity Head^(3/2))
Discharge given Velocity Approach
Go Discharge by Approach Velocity = Velocity of Flow 1*(Width of Channel1*Depth of Flow)
Discharge when End Contractions is suppressed and Velocity is not considered
Go Francis Discharge with Suppressed End = 1.84*Length of Weir Crest*Height of Water above Crest of Weir^(3/2)

Discharge given Velocity Approach Formula

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

What is Velocity of Approach?

The Velocity Approach (Va) is defined as the rate of change of relative displacement between two bodies (i.e. how fast a body approaches another body ).

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 Discharge given Velocity Approach?

Discharge given Velocity Approach calculator uses Discharge by Approach Velocity = Velocity of Flow 1*(Width of Channel1*Depth of Flow) to calculate the Discharge by Approach Velocity, Discharge given Velocity Approach is volumetric flow rate of water that is transported through given cross-sectional area. Discharge by Approach Velocity is denoted by Q' symbol.

How to calculate Discharge given Velocity Approach using this online calculator? To use this online calculator for Discharge given Velocity Approach, enter Velocity of Flow 1 (v), Width of Channel1 (b) & Depth of Flow (df) and hit the calculate button. Here is how the Discharge given Velocity Approach calculation can be explained with given input values -> 154.473 = 15.1*(3.001*3.3).

FAQ

What is Discharge given Velocity Approach?
Discharge given Velocity Approach is volumetric flow rate of water that is transported through given cross-sectional area and is represented as Q' = v*(b*df) or Discharge by Approach Velocity = Velocity of Flow 1*(Width of Channel1*Depth of Flow). Velocity of Flow 1 is the flow of water over the channel, Width of Channel1 is the width of Notch and weir & 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.
How to calculate Discharge given Velocity Approach?
Discharge given Velocity Approach is volumetric flow rate of water that is transported through given cross-sectional area is calculated using Discharge by Approach Velocity = Velocity of Flow 1*(Width of Channel1*Depth of Flow). To calculate Discharge given Velocity Approach, you need Velocity of Flow 1 (v), Width of Channel1 (b) & Depth of Flow (df). With our tool, you need to enter the respective value for Velocity of Flow 1, Width of Channel1 & Depth of Flow 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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