Depth of Parshall Flume given Discharge Calculator

✖Environmental Discharge is the rate of flow of a liquid.ⓘ Environmental Discharge [Q_e]			+10% -10%
✖The Integration constant is a constant that is added to the function obtained by evaluating the indefinite integral of a given function.ⓘ Integration Constant [c]			+10% -10%
✖Discharge coefficient is the ratio of flow rate at exit to flow rate at inlet.ⓘ Discharge coefficient [C_D]			+10% -10%

✖Depth is the distance from the top or surface to the bottom of something.ⓘ Depth of Parshall Flume given Discharge [D]

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Formula

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Depth of Parshall Flume given Discharge

Formula

`"D" = ("Q"_{"e"}/"c")^(1/"C"_{"D"})`

Example

`"38.90655m"=("40m³/s"/"6.9")^(1/".48")`

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Depth of Parshall Flume given Discharge Solution

STEP 0: Pre-Calculation Summary

Formula Used

Depth = (Environmental Discharge/Integration Constant)^(1/Discharge coefficient)
D = (Q_e/c)^(1/C_D)
This formula uses 4 Variables

Variables Used

Depth - (Measured in Meter) - Depth is the distance from the top or surface to the bottom of something.
Environmental Discharge - (Measured in Cubic Meter per Second) - Environmental Discharge is the rate of flow of a liquid.
Integration Constant - The Integration constant is a constant that is added to the function obtained by evaluating the indefinite integral of a given function.
Discharge coefficient - Discharge coefficient is the ratio of flow rate at exit to flow rate at inlet.

STEP 1: Convert Input(s) to Base Unit

Environmental Discharge: 40 Cubic Meter per Second --> 40 Cubic Meter per Second No Conversion Required
Integration Constant: 6.9 --> No Conversion Required
Discharge coefficient: 0.48 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

D = (Q_e/c)^(1/C_D) --> (40/6.9)^(1/0.48)

Evaluating ... ...

D = 38.9065488970491

STEP 3: Convert Result to Output's Unit

38.9065488970491 Meter --> No Conversion Required

FINAL ANSWER

38.9065488970491 ≈ 38.90655 Meter <-- Depth

(Calculation completed in 00.020 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 Parshall Flume given Discharge Formula

Depth = (Environmental Discharge/Integration Constant)^(1/Discharge coefficient)
D = (Q_e/c)^(1/C_D)

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 Parshall Flume given Discharge?

Depth of Parshall Flume given Discharge calculator uses Depth = (Environmental Discharge/Integration Constant)^(1/Discharge coefficient) to calculate the Depth, Depth of Parshall Flume given Discharge calculates depth kf parshall flume when we have prior information of other parameters. Depth is denoted by D symbol.

How to calculate Depth of Parshall Flume given Discharge using this online calculator? To use this online calculator for Depth of Parshall Flume given Discharge, enter Environmental Discharge (Q_e), Integration Constant (c) & Discharge coefficient (C_D) and hit the calculate button. Here is how the Depth of Parshall Flume given Discharge calculation can be explained with given input values -> 0.782406 = (40/6.9)^(1/0.48).

FAQ

What is Depth of Parshall Flume given Discharge?

Depth of Parshall Flume given Discharge calculates depth kf parshall flume when we have prior information of other parameters and is represented as D = (Q_e/c)^(1/C_D) or Depth = (Environmental Discharge/Integration Constant)^(1/Discharge coefficient). Environmental Discharge is the rate of flow of a liquid, The Integration constant is a constant that is added to the function obtained by evaluating the indefinite integral of a given function & Discharge coefficient is the ratio of flow rate at exit to flow rate at inlet.

How to calculate Depth of Parshall Flume given Discharge?

Depth of Parshall Flume given Discharge calculates depth kf parshall flume when we have prior information of other parameters is calculated using Depth = (Environmental Discharge/Integration Constant)^(1/Discharge coefficient). To calculate Depth of Parshall Flume given Discharge, you need Environmental Discharge (Q_e), Integration Constant (c) & Discharge coefficient (C_D). With our tool, you need to enter the respective value for Environmental Discharge, Integration Constant & Discharge coefficient and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Depth?

In this formula, Depth uses Environmental Discharge, Integration Constant & Discharge coefficient. We can use 2 other way(s) to calculate the same, which is/are as follows -

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

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