Width of Parshall Flume given Depth Calculator

✖Depth is the distance from the top or surface to the bottom of something.ⓘ Depth [D]			+10% -10%
✖Discharge coefficient is the ratio of flow rate at exit to flow rate at inlet.ⓘ Discharge coefficient [C_D]			+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%

✖Width is the measurement or extent of something from side to side.ⓘ Width of Parshall Flume given Depth [w]

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Formula

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Width of Parshall Flume given Depth

Formula

`"w" = (("D")^("C"_{"D"}-1))/"c"`

Example

`"0.081855m"=(("3m")^(".48"-1))/"6.9"`

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Width of Parshall Flume given Depth Solution

STEP 0: Pre-Calculation Summary

Formula Used

Width = ((Depth)^(Discharge coefficient-1))/Integration Constant
w = ((D)^(C_D-1))/c
This formula uses 4 Variables

Variables Used

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

STEP 1: Convert Input(s) to Base Unit

Depth: 3 Meter --> 3 Meter No Conversion Required
Discharge coefficient: 0.48 --> No Conversion Required
Integration Constant: 6.9 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

w = ((D)^(C_D-1))/c --> ((3)^(0.48-1))/6.9

Evaluating ... ...

w = 0.0818554983319085

STEP 3: Convert Result to Output's Unit

0.0818554983319085 Meter --> No Conversion Required

FINAL ANSWER

0.0818554983319085 ≈ 0.081855 Meter <-- Width

(Calculation completed in 00.020 seconds)

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Created by Suraj Kumar

Birsa Institute of Technology (BIT), Sindri

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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

Width of Parshall Flume given Depth Formula

Width = ((Depth)^(Discharge coefficient-1))/Integration Constant
w = ((D)^(C_D-1))/c

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 Width of Parshall Flume given Depth?

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

How to calculate Width of Parshall Flume given Depth using this online calculator? To use this online calculator for Width of Parshall Flume given Depth, enter Depth (D), Discharge coefficient (C_D) & Integration Constant (c) and hit the calculate button. Here is how the Width of Parshall Flume given Depth calculation can be explained with given input values -> 0.081855 = ((3)^(0.48-1))/6.9.

FAQ

What is Width of Parshall Flume given Depth?

Width of Parshall Flume given Depth calculates width of parshall flume when we have prior information of other parameters and is represented as w = ((D)^(C_D-1))/c or Width = ((Depth)^(Discharge coefficient-1))/Integration Constant. Depth is the distance from the top or surface to the bottom of something, Discharge coefficient is the ratio of flow rate at exit to flow rate at inlet & The Integration constant is a constant that is added to the function obtained by evaluating the indefinite integral of a given function.

How to calculate Width of Parshall Flume given Depth?

Width of Parshall Flume given Depth calculates width of parshall flume when we have prior information of other parameters is calculated using Width = ((Depth)^(Discharge coefficient-1))/Integration Constant. To calculate Width of Parshall Flume given Depth, you need Depth (D), Discharge coefficient (C_D) & Integration Constant (c). With our tool, you need to enter the respective value for Depth, Discharge coefficient & Integration Constant 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 Width?

In this formula, Width uses Depth, Discharge coefficient & Integration Constant. We can use 1 other way(s) to calculate the same, which is/are as follows -

Width = sqrt(Depth/Integration Constant)

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