Depth of Parshall Flume given Width Solution

STEP 0: Pre-Calculation Summary
Formula Used
Depth = (Integration Constant*Width)^(1/(Discharge coefficient-1))
D = (c*w)^(1/(CD-1))
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.
Integration Constant - The Integration constant is a constant that is added to the function obtained by evaluating the indefinite integral of a given function.
Width - (Measured in Meter) - Width is the measurement or extent of something from side to side.
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
Integration Constant: 6.9 --> No Conversion Required
Width: 2.29 Meter --> 2.29 Meter No Conversion Required
Discharge coefficient: 0.48 --> No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
D = (c*w)^(1/(CD-1)) --> (6.9*2.29)^(1/(0.48-1))
Evaluating ... ...
D = 0.00495264682584149
STEP 3: Convert Result to Output's Unit
0.00495264682584149 Meter --> No Conversion Required
FINAL ANSWER
0.00495264682584149 0.004953 Meter <-- Depth
(Calculation completed in 00.004 seconds)

Credits

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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 Width Formula

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

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 Width?

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

How to calculate Depth of Parshall Flume given Width using this online calculator? To use this online calculator for Depth of Parshall Flume given Width, enter Integration Constant (c), Width (w) & Discharge coefficient (CD) and hit the calculate button. Here is how the Depth of Parshall Flume given Width calculation can be explained with given input values -> 0.002946 = (6.9*2.29)^(1/(0.48-1)).

FAQ

What is Depth of Parshall Flume given Width?
Depth of Parshall Flume given Width calculates depth of parshall flume when we have prior information of other parameters used and is represented as D = (c*w)^(1/(CD-1)) or Depth = (Integration Constant*Width)^(1/(Discharge coefficient-1)). The Integration constant is a constant that is added to the function obtained by evaluating the indefinite integral of a given function, Width is the measurement or extent of something from side to side & Discharge coefficient is the ratio of flow rate at exit to flow rate at inlet.
How to calculate Depth of Parshall Flume given Width?
Depth of Parshall Flume given Width calculates depth of parshall flume when we have prior information of other parameters used is calculated using Depth = (Integration Constant*Width)^(1/(Discharge coefficient-1)). To calculate Depth of Parshall Flume given Width, you need Integration Constant (c), Width (w) & Discharge coefficient (CD). With our tool, you need to enter the respective value for Integration Constant, Width & 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 Integration Constant, Width & Discharge coefficient. We can use 2 other way(s) to calculate the same, which is/are as follows -
  • Depth = (Environmental Discharge/Integration Constant)^(1/Discharge coefficient)
  • Depth = Integration Constant*Width*Width
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