Width of Throat given Critical Depth Calculator

✖Environmental Discharge is the rate of flow of a liquid.ⓘ Environmental Discharge [Q_e]			+10% -10%
✖Acceleration due to Gravity is acceleration gained by an object because of gravitational force.ⓘ Acceleration due to Gravity [g]			+10% -10%
✖Critical depth occurs when the flow in a channel has a minimum specific energy. Specific energy refers to the sum of the depth of flow and the velocity head.ⓘ Critical Depth [CD]			+10% -10%

✖Width of throat of the parshall flume is denoted by W symbol.ⓘ Width of Throat given Critical Depth [W_t]

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Formula

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Width of Throat given Critical Depth

Formula

`"W"_{"t"} = sqrt(("Q"_{"e"})^2/("g"*("CD")^3))`

Example

`"1.597191m"=sqrt(("40m³/s")^2/("9.8m/s²"*("4m")^3))`

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Width of Throat given Critical Depth Solution

STEP 0: Pre-Calculation Summary

Formula Used

Width of throat = sqrt((Environmental Discharge)^2/(Acceleration due to Gravity*(Critical Depth)^3))
W_t = sqrt((Q_e)^2/(g*(CD)^3))
This formula uses 1 Functions, 4 Variables

Functions Used

sqrt - A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number., sqrt(Number)

Variables Used

Width of throat - (Measured in Meter) - Width of throat of the parshall flume is denoted by W symbol.
Environmental Discharge - (Measured in Cubic Meter per Second) - Environmental Discharge is the rate of flow of a liquid.
Acceleration due to Gravity - (Measured in Meter per Square Second) - Acceleration due to Gravity is acceleration gained by an object because of gravitational force.
Critical Depth - (Measured in Meter) - Critical depth occurs when the flow in a channel has a minimum specific energy. Specific energy refers to the sum of the depth of flow and the velocity head.

STEP 1: Convert Input(s) to Base Unit

Environmental Discharge: 40 Cubic Meter per Second --> 40 Cubic Meter per Second No Conversion Required
Acceleration due to Gravity: 9.8 Meter per Square Second --> 9.8 Meter per Square Second No Conversion Required
Critical Depth: 4 Meter --> 4 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

W_t = sqrt((Q_e)^2/(g*(CD)^3)) --> sqrt((40)^2/(9.8*(4)^3))

Evaluating ... ...

W_t = 1.59719141249985

STEP 3: Convert Result to Output's Unit

1.59719141249985 Meter --> No Conversion Required

FINAL ANSWER

1.59719141249985 ≈ 1.597191 Meter <-- Width of throat

(Calculation completed in 00.020 seconds)

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Home » Engineering » Civil » Environmental Engineering » Treatment of Sewage » Constant Velocity Horizontal Flow Grit Channels » Design of Parabolic Grit Chamber » Parabolic Grit Chamber » Width of Channel » Width of Throat given Critical Depth

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Created by Suraj Kumar

Birsa Institute of Technology (BIT), Sindri

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< 4 Width of Channel Calculators

Width of Throat given Critical Depth

Go Width of throat = sqrt((Environmental Discharge)^2/(Acceleration due to Gravity*(Critical Depth)^3))

Width of Throat given Discharge through Control Section

Go Width of throat = (Environmental Discharge/(Critical Depth*Critical Velocity))

Width of Throat given Maximum Discharge

Go Width of throat = (Peak Discharge/(Critical Depth*Critical Velocity))

Width of Parabolic Channel

Go Width = (1.5*Area Of Cross Section)/Depth

Width of Throat given Critical Depth Formula

Width of throat = sqrt((Environmental Discharge)^2/(Acceleration due to Gravity*(Critical Depth)^3))
W_t = sqrt((Q_e)^2/(g*(CD)^3))

What is critical depth ?

Critical depth is also the depth of maximum discharge, when the specific energy is held constant.Critical depth is defined as the depth of flow where energy is at a minimum for a particular discharge.

How to Calculate Width of Throat given Critical Depth?

Width of Throat given Critical Depth calculator uses Width of throat = sqrt((Environmental Discharge)^2/(Acceleration due to Gravity*(Critical Depth)^3)) to calculate the Width of throat, Width of Throat given Critical Depth is defined as depth of flow where energy is at minimum for particular discharge. Width of throat is denoted by W_t symbol.

How to calculate Width of Throat given Critical Depth using this online calculator? To use this online calculator for Width of Throat given Critical Depth, enter Environmental Discharge (Q_e), Acceleration due to Gravity (g) & Critical Depth (CD) and hit the calculate button. Here is how the Width of Throat given Critical Depth calculation can be explained with given input values -> 1.597191 = sqrt((40)^2/(9.8*(4)^3)).

FAQ

What is Width of Throat given Critical Depth?

Width of Throat given Critical Depth is defined as depth of flow where energy is at minimum for particular discharge and is represented as W_t = sqrt((Q_e)^2/(g*(CD)^3)) or Width of throat = sqrt((Environmental Discharge)^2/(Acceleration due to Gravity*(Critical Depth)^3)). Environmental Discharge is the rate of flow of a liquid, Acceleration due to Gravity is acceleration gained by an object because of gravitational force & Critical depth occurs when the flow in a channel has a minimum specific energy. Specific energy refers to the sum of the depth of flow and the velocity head.

How to calculate Width of Throat given Critical Depth?

Width of Throat given Critical Depth is defined as depth of flow where energy is at minimum for particular discharge is calculated using Width of throat = sqrt((Environmental Discharge)^2/(Acceleration due to Gravity*(Critical Depth)^3)). To calculate Width of Throat given Critical Depth, you need Environmental Discharge (Q_e), Acceleration due to Gravity (g) & Critical Depth (CD). With our tool, you need to enter the respective value for Environmental Discharge, Acceleration due to Gravity & Critical Depth 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 of throat?

In this formula, Width of throat uses Environmental Discharge, Acceleration due to Gravity & Critical Depth. We can use 2 other way(s) to calculate the same, which is/are as follows -

Width of throat = (Environmental Discharge/(Critical Depth*Critical Velocity))
Width of throat = (Peak Discharge/(Critical Depth*Critical Velocity))

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