Width of Channel given Distance in X Direction from Center of Weir Calculator

✖Distance in x direction is the direction measured from centre of weir towards x direction.ⓘ Distance in x direction [x]			+10% -10%
✖Horizontal flow velocity is the velocity for which the weir is designed.ⓘ Horizontal flow velocity [V_h]			+10% -10%
✖Coefficient of Discharge is ratio of actual discharge to theoretical discharge.ⓘ Coefficient of Discharge [C_d]			+10% -10%
✖Acceleration due to Gravity is acceleration gained by an object because of gravitational force.ⓘ Acceleration due to Gravity [g]			+10% -10%
✖Distance in y direction is length measured fom crest of weir towards y direction.ⓘ Distance in y direction [y]			+10% -10%

✖Width is the measurement or extent of something from side to side.ⓘ Width of Channel given Distance in X Direction from Center of Weir [w]

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Formula

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Width of Channel given Distance in X Direction from Center of Weir

Formula

`"w" = "x"/((2*"V"_{"h"})/("C"_{"d"}*pi*sqrt(2*"g"*"y")))`

Example

`"1.947279m"="3m"/((2*"10m/s")/("0.66"*pi*sqrt(2*"9.8m/s²"*"2m")))`

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Width of Channel given Distance in X Direction from Center of Weir Solution

STEP 0: Pre-Calculation Summary

Formula Used

Width = Distance in x direction/((2*Horizontal flow velocity)/(Coefficient of Discharge*pi*sqrt(2*Acceleration due to Gravity*Distance in y direction)))
w = x/((2*V_h)/(C_d*pi*sqrt(2*g*y)))
This formula uses 1 Constants, 1 Functions, 6 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

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 - (Measured in Meter) - Width is the measurement or extent of something from side to side.
Distance in x direction - (Measured in Meter) - Distance in x direction is the direction measured from centre of weir towards x direction.
Horizontal flow velocity - (Measured in Meter per Second) - Horizontal flow velocity is the velocity for which the weir is designed.
Coefficient of Discharge - Coefficient of Discharge is ratio of actual discharge to theoretical discharge.
Acceleration due to Gravity - (Measured in Meter per Square Second) - Acceleration due to Gravity is acceleration gained by an object because of gravitational force.
Distance in y direction - (Measured in Meter) - Distance in y direction is length measured fom crest of weir towards y direction.

STEP 1: Convert Input(s) to Base Unit

Distance in x direction: 3 Meter --> 3 Meter No Conversion Required
Horizontal flow velocity: 10 Meter per Second --> 10 Meter per Second No Conversion Required
Coefficient of Discharge: 0.66 --> No Conversion Required
Acceleration due to Gravity: 9.8 Meter per Square Second --> 9.8 Meter per Square Second No Conversion Required
Distance in y direction: 2 Meter --> 2 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

w = x/((2*V_h)/(C_d*pi*sqrt(2*g*y))) --> 3/((2*10)/(0.66*pi*sqrt(2*9.8*2)))

Evaluating ... ...

w = 1.94727864344449

STEP 3: Convert Result to Output's Unit

1.94727864344449 Meter --> No Conversion Required

FINAL ANSWER

1.94727864344449 ≈ 1.947279 Meter <-- Width

(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 Proportioning Flow Weir » Width of Channel given Distance in X Direction from Center of Weir

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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 Design of Proportioning Flow Weir Calculators

Distance in Y Direction from Crest of Weir

Go Distance in y direction = ((2*Channel Width*Horizontal flow velocity)/(Coefficient of Discharge*pi*Distance in x direction*sqrt(2*Acceleration due to Gravity)))^2

Horizontal Flow Velocity given Distance in X Direction from Center of Weir

Go Horizontal flow velocity = Distance in x direction/((2*Channel Width)/(Coefficient of Discharge*pi*sqrt(2*Acceleration due to Gravity*Distance in y direction)))

Coefficient of Discharge given Distance in X Direction from Center of Weir

Go Coefficient of Discharge = ((2*Channel Width*Horizontal flow velocity)/(Distance in x direction*pi*sqrt(2*Acceleration due to Gravity*Distance in y direction)))

Distance in X Direction from Center of Weir

Go Distance in x direction = ((2*Channel Width*Horizontal flow velocity)/(Coefficient of Discharge*pi*sqrt(2*Acceleration due to Gravity*Distance in y direction)))

Width of Channel given Distance in X Direction from Center of Weir

Go Width = Distance in x direction/((2*Horizontal flow velocity)/(Coefficient of Discharge*pi*sqrt(2*Acceleration due to Gravity*Distance in y direction)))

Horizontal Flow Velocity given Half Width of Bottom Portion of Weir

Go Horizontal flow velocity = Width/(1.467*Channel Width)

Width of Channel given Half Width of Bottom Portion of Weir

Go Channel Width = Width/(1.467*Horizontal flow velocity)

Half Width of Bottom Portion of Weir

Go Width = 1.467*Horizontal flow velocity*Channel Width

Width of Channel given Distance in X Direction from Center of Weir Formula

Width = Distance in x direction/((2*Horizontal flow velocity)/(Coefficient of Discharge*pi*sqrt(2*Acceleration due to Gravity*Distance in y direction)))
w = x/((2*V_h)/(C_d*pi*sqrt(2*g*y)))

What is coefficient of discharge ?

The discharge coefficient (also known as coefficient of discharge or efflux coefficient) is the ratio of the actual discharge to the theoretical discharge, i.e., the ratio of the mass flow rate at the discharge end of the nozzle to that of an ideal nozzle which expands an identical .

How to Calculate Width of Channel given Distance in X Direction from Center of Weir?

Width of Channel given Distance in X Direction from Center of Weir calculator uses Width = Distance in x direction/((2*Horizontal flow velocity)/(Coefficient of Discharge*pi*sqrt(2*Acceleration due to Gravity*Distance in y direction))) to calculate the Width, The Width of Channel given Distance in X Direction from Center of Weir calculates the width of the channel when we have prior information of other parameters. Width is denoted by w symbol.

How to calculate Width of Channel given Distance in X Direction from Center of Weir using this online calculator? To use this online calculator for Width of Channel given Distance in X Direction from Center of Weir, enter Distance in x direction (x), Horizontal flow velocity (V_h), Coefficient of Discharge (C_d), Acceleration due to Gravity (g) & Distance in y direction (y) and hit the calculate button. Here is how the Width of Channel given Distance in X Direction from Center of Weir calculation can be explained with given input values -> 1.947279 = 3/((2*10)/(0.66*pi*sqrt(2*9.8*2))).

FAQ

What is Width of Channel given Distance in X Direction from Center of Weir?

The Width of Channel given Distance in X Direction from Center of Weir calculates the width of the channel when we have prior information of other parameters and is represented as w = x/((2*V_h)/(C_d*pi*sqrt(2*g*y))) or Width = Distance in x direction/((2*Horizontal flow velocity)/(Coefficient of Discharge*pi*sqrt(2*Acceleration due to Gravity*Distance in y direction))). Distance in x direction is the direction measured from centre of weir towards x direction, Horizontal flow velocity is the velocity for which the weir is designed, Coefficient of Discharge is ratio of actual discharge to theoretical discharge, Acceleration due to Gravity is acceleration gained by an object because of gravitational force & Distance in y direction is length measured fom crest of weir towards y direction.

How to calculate Width of Channel given Distance in X Direction from Center of Weir?

The Width of Channel given Distance in X Direction from Center of Weir calculates the width of the channel when we have prior information of other parameters is calculated using Width = Distance in x direction/((2*Horizontal flow velocity)/(Coefficient of Discharge*pi*sqrt(2*Acceleration due to Gravity*Distance in y direction))). To calculate Width of Channel given Distance in X Direction from Center of Weir, you need Distance in x direction (x), Horizontal flow velocity (V_h), Coefficient of Discharge (C_d), Acceleration due to Gravity (g) & Distance in y direction (y). With our tool, you need to enter the respective value for Distance in x direction, Horizontal flow velocity, Coefficient of Discharge, Acceleration due to Gravity & Distance in y direction 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 Distance in x direction, Horizontal flow velocity, Coefficient of Discharge, Acceleration due to Gravity & Distance in y direction. We can use 1 other way(s) to calculate the same, which is/are as follows -

Width = 1.467*Horizontal flow velocity*Channel Width

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