Depth of Flow in Upstream Leg of Flume at One Third Point given Discharge Calculator

✖Environmental Discharge is the rate of flow of a liquid.ⓘ Environmental Discharge [Q_e]			+10% -10%
✖Width of throat of the parshall flume is denoted by W symbol.ⓘ Width of throat [W_t]			+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 Flow in Upstream Leg of Flume at One Third Point given Discharge [d_f]

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Formula

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Depth of Flow in Upstream Leg of Flume at One Third Point given Discharge

Formula

`"d"_{"f"} = ("Q"_{"e"}/(2.264*"W"_{"t"}))^(2/3)`

Example

`"3.261181m"=("40m³/s"/(2.264*"3m"))^(2/3)`

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Depth of Flow in Upstream Leg of Flume at One Third Point given Discharge Solution

STEP 0: Pre-Calculation Summary

Formula Used

Depth of Flow = (Environmental Discharge/(2.264*Width of throat))^(2/3)
d_f = (Q_e/(2.264*W_t))^(2/3)
This formula uses 3 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.
Environmental Discharge - (Measured in Cubic Meter per Second) - Environmental Discharge is the rate of flow of a liquid.
Width of throat - (Measured in Meter) - Width of throat of the parshall flume is denoted by W symbol.

STEP 1: Convert Input(s) to Base Unit

Environmental Discharge: 40 Cubic Meter per Second --> 40 Cubic Meter per Second No Conversion Required
Width of throat: 3 Meter --> 3 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

d_f = (Q_e/(2.264*W_t))^(2/3) --> (40/(2.264*3))^(2/3)

Evaluating ... ...

d_f = 3.26118079462138

STEP 3: Convert Result to Output's Unit

3.26118079462138 Meter --> No Conversion Required

FINAL ANSWER

3.26118079462138 ≈ 3.261181 Meter <-- Depth of Flow

(Calculation completed in 00.004 seconds)

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Created by Suraj Kumar

Birsa Institute of Technology (BIT), Sindri

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Meerut Institute of Engineering and Technology (MIET), Meerut

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< 8 Parshall Flume Calculators

Depth of Parshall Flume given Discharge

Go Depth = (Environmental Discharge/Integration Constant)^(1/Discharge coefficient)

Depth of Parshall Flume given Width

Go Depth = (Integration Constant*Width)^(1/(Discharge coefficient-1))

Width of Parshall Flume given Depth

Go Width = ((Depth)^(Discharge coefficient-1))/Integration Constant

Depth of Flow in Upstream Leg of Flume at One Third Point given Discharge

Go Depth of Flow = (Environmental Discharge/(2.264*Width of throat))^(2/3)

Discharge Passing through Parshall Flume

Go Environmental Discharge = (2.264*Width of throat*(Depth of Flow)^(3/2))

Width of Throat given Discharge

Go Width of throat = Environmental Discharge/(2.264*(Depth of Flow)^(3/2))

Width of Parshall Flume given Depth of Parshall Flume

Go Width = sqrt(Depth/Integration Constant)

Depth of Parshall Flume

Go Depth = Integration Constant*Width*Width

Depth of Flow in Upstream Leg of Flume at One Third Point given Discharge Formula

Depth of Flow = (Environmental Discharge/(2.264*Width of throat))^(2/3)
d_f = (Q_e/(2.264*W_t))^(2/3)

What is parshall flume ?

The Parshall flume is a fixed hydraulic structure. It is used to measure volumetric flow rate in industrial discharges, municipal sewer lines, and influent/effluent flows in wastewater treatment plants.

How to Calculate Depth of Flow in Upstream Leg of Flume at One Third Point given Discharge?

Depth of Flow in Upstream Leg of Flume at One Third Point given Discharge calculator uses Depth of Flow = (Environmental Discharge/(2.264*Width of throat))^(2/3) to calculate the Depth of Flow, Depth of Flow in Upstream Leg of Flume at One Third Point given Discharge calculates depth of flow when we have prior information of other parameters. Depth of Flow is denoted by d_f symbol.

How to calculate Depth of Flow in Upstream Leg of Flume at One Third Point given Discharge using this online calculator? To use this online calculator for Depth of Flow in Upstream Leg of Flume at One Third Point given Discharge, enter Environmental Discharge (Q_e) & Width of throat (W_t) and hit the calculate button. Here is how the Depth of Flow in Upstream Leg of Flume at One Third Point given Discharge calculation can be explained with given input values -> 3.261181 = (40/(2.264*3))^(2/3).

FAQ

What is Depth of Flow in Upstream Leg of Flume at One Third Point given Discharge?

Depth of Flow in Upstream Leg of Flume at One Third Point given Discharge calculates depth of flow when we have prior information of other parameters and is represented as d_f = (Q_e/(2.264*W_t))^(2/3) or Depth of Flow = (Environmental Discharge/(2.264*Width of throat))^(2/3). Environmental Discharge is the rate of flow of a liquid & Width of throat of the parshall flume is denoted by W symbol.

How to calculate Depth of Flow in Upstream Leg of Flume at One Third Point given Discharge?

Depth of Flow in Upstream Leg of Flume at One Third Point given Discharge calculates depth of flow when we have prior information of other parameters is calculated using Depth of Flow = (Environmental Discharge/(2.264*Width of throat))^(2/3). To calculate Depth of Flow in Upstream Leg of Flume at One Third Point given Discharge, you need Environmental Discharge (Q_e) & Width of throat (W_t). With our tool, you need to enter the respective value for Environmental Discharge & Width of throat 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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