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

✖Channel Width is the horizontal distance between the banks of a channel, measured at right angles to the direction of flow.ⓘ Channel Width [W_c]			+10% -10%
✖Horizontal Flow Velocity is the velocity for which the weir is designed.ⓘ Horizontal Flow Velocity [V_h]			+10% -10%
✖Distance in x Direction is the direction measured from center of weir towards x direction.ⓘ Distance in x Direction [x]			+10% -10%
✖Acceleration due to Gravity is a fundamental physical constant that represents the acceleration of an object due to the force of gravity exerted by the Earth.ⓘ Acceleration due to Gravity [g]			+10% -10%
✖Distance in y Direction is length measured from crest of weir towards y direction.ⓘ Distance in y Direction [y]			+10% -10%

✖Coefficient of Discharge is ratio of actual discharge to theoretical discharge.ⓘ Coefficient of Discharge given Distance in X Direction from Center of Weir [C_d]

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

STEP 0: Pre-Calculation Summary

Formula Used

Coefficient of Discharge = ((2*Channel Width*Horizontal Flow Velocity)/(Distance in x Direction*pi*sqrt(2*Acceleration due to Gravity*Distance in y Direction)))
C_d = ((2*W_c*V_h)/(x*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

Coefficient of Discharge - Coefficient of Discharge is ratio of actual discharge to theoretical discharge.
Channel Width - (Measured in Meter) - Channel Width is the horizontal distance between the banks of a channel, measured at right angles to the direction of flow.
Horizontal Flow Velocity - (Measured in Meter per Second) - Horizontal Flow Velocity is the velocity for which the weir is designed.
Distance in x Direction - (Measured in Meter) - Distance in x Direction is the direction measured from center of weir towards x direction.
Acceleration due to Gravity - (Measured in Meter per Square Second) - Acceleration due to Gravity is a fundamental physical constant that represents the acceleration of an object due to the force of gravity exerted by the Earth.
Distance in y Direction - (Measured in Meter) - Distance in y Direction is length measured from crest of weir towards y direction.

STEP 1: Convert Input(s) to Base Unit

Channel Width: 2 Meter --> 2 Meter No Conversion Required
Horizontal Flow Velocity: 10 Meter per Second --> 10 Meter per Second No Conversion Required
Distance in x Direction: 3 Meter --> 3 Meter 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

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

Evaluating ... ...

C_d = 0.67786908896874

STEP 3: Convert Result to Output's Unit

0.67786908896874 --> No Conversion Required

FINAL ANSWER

0.67786908896874 ≈ 0.677869 <-- Coefficient of Discharge

(Calculation completed in 00.020 seconds)

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Birsa Institute of Technology (BIT), Sindri

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< Design of Proportioning Flow Weir Calculators

Distance in Y Direction from Crest of Weir

LaTeX 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

LaTeX 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)))

Distance in X Direction from Center of Weir

LaTeX 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

LaTeX Go Width = Distance in x Direction/((2*Horizontal Flow Velocity)/(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 Formula

LaTeX 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)))
C_d = ((2*W_c*V_h)/(x*pi*sqrt(2*g*y)))

What is Discharge Coefficient?

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

Coefficient of Discharge given Distance in X Direction from Center of Weir calculator uses Coefficient of Discharge = ((2*Channel Width*Horizontal Flow Velocity)/(Distance in x Direction*pi*sqrt(2*Acceleration due to Gravity*Distance in y Direction))) to calculate the Coefficient of Discharge, The Coefficient of Discharge given Distance in X Direction from Center of Weir formula is defined as the ratio of actual discharge to theoretical discharge. Coefficient of Discharge is denoted by C_d symbol.

How to calculate Coefficient of Discharge given Distance in X Direction from Center of Weir using this online calculator? To use this online calculator for Coefficient of Discharge given Distance in X Direction from Center of Weir, enter Channel Width (W_c), Horizontal Flow Velocity (V_h), Distance in x Direction (x), Acceleration due to Gravity (g) & Distance in y Direction (y) and hit the calculate button. Here is how the Coefficient of Discharge given Distance in X Direction from Center of Weir calculation can be explained with given input values -> 0.677869 = ((2*2*10)/(3*pi*sqrt(2*9.8*2))).

FAQ

What is Coefficient of Discharge given Distance in X Direction from Center of Weir?

The Coefficient of Discharge given Distance in X Direction from Center of Weir formula is defined as the ratio of actual discharge to theoretical discharge and is represented as C_d = ((2*W_c*V_h)/(x*pi*sqrt(2*g*y))) or Coefficient of Discharge = ((2*Channel Width*Horizontal Flow Velocity)/(Distance in x Direction*pi*sqrt(2*Acceleration due to Gravity*Distance in y Direction))). Channel Width is the horizontal distance between the banks of a channel, measured at right angles to the direction of flow, Horizontal Flow Velocity is the velocity for which the weir is designed, Distance in x Direction is the direction measured from center of weir towards x direction, Acceleration due to Gravity is a fundamental physical constant that represents the acceleration of an object due to the force of gravity exerted by the Earth & Distance in y Direction is length measured from crest of weir towards y direction.

How to calculate Coefficient of Discharge given Distance in X Direction from Center of Weir?

The Coefficient of Discharge given Distance in X Direction from Center of Weir formula is defined as the ratio of actual discharge to theoretical discharge is calculated using Coefficient of Discharge = ((2*Channel Width*Horizontal Flow Velocity)/(Distance in x Direction*pi*sqrt(2*Acceleration due to Gravity*Distance in y Direction))). To calculate Coefficient of Discharge given Distance in X Direction from Center of Weir, you need Channel Width (W_c), Horizontal Flow Velocity (V_h), Distance in x Direction (x), Acceleration due to Gravity (g) & Distance in y Direction (y). With our tool, you need to enter the respective value for Channel Width, Horizontal Flow Velocity, Distance in x Direction, 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.

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