Coefficient of Discharge for Time Required to Empty Reservoir Calculator

✖Area of Weir is the amount of two-dimensional space taken up by an object.ⓘ Area of Weir [A]			+10% -10%
✖Total Time Taken is the total time taken by the body to cover that space.ⓘ Total Time Taken [t_a]			+10% -10%
✖The Length of Weir is the of the base of weir through which discharge is taking place.ⓘ Length of Weir [L_w]			+10% -10%
✖The Final Height of Liquid is a variable from the tank emptying through an orifice at its bottom.ⓘ Final Height of Liquid [H_f]			+10% -10%
✖The Initial height of liquid is a variable from the tank emptying through an orifice at its bottom.ⓘ Initial Height of Liquid [H_i]			+10% -10%

✖The Coefficient of Discharge or efflux coefficient is the ratio of the actual discharge to the theoretical discharge.ⓘ Coefficient of Discharge for Time Required to Empty Reservoir [C_d]

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Coefficient of Discharge for Time Required to Empty Reservoir Solution

STEP 0: Pre-Calculation Summary

Formula Used

Coefficient of Discharge = (3*Area of Weir)/(Total Time Taken*Length of Weir*sqrt(2*[g]))*(1/sqrt(Final Height of Liquid)-1/sqrt(Initial Height of Liquid))
C_d = (3*A)/(t_a*L_w*sqrt(2*[g]))*(1/sqrt(H_f)-1/sqrt(H_i))
This formula uses 1 Constants, 1 Functions, 6 Variables

Constants Used

[g] - Gravitational acceleration on Earth Value Taken As 9.80665

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 - The Coefficient of Discharge or efflux coefficient is the ratio of the actual discharge to the theoretical discharge.
Area of Weir - (Measured in Square Meter) - Area of Weir is the amount of two-dimensional space taken up by an object.
Total Time Taken - (Measured in Second) - Total Time Taken is the total time taken by the body to cover that space.
Length of Weir - (Measured in Meter) - The Length of Weir is the of the base of weir through which discharge is taking place.
Final Height of Liquid - (Measured in Meter) - The Final Height of Liquid is a variable from the tank emptying through an orifice at its bottom.
Initial Height of Liquid - (Measured in Meter) - The Initial height of liquid is a variable from the tank emptying through an orifice at its bottom.

STEP 1: Convert Input(s) to Base Unit

Area of Weir: 50 Square Meter --> 50 Square Meter No Conversion Required
Total Time Taken: 82 Second --> 82 Second No Conversion Required
Length of Weir: 25 Meter --> 25 Meter No Conversion Required
Final Height of Liquid: 0.17 Meter --> 0.17 Meter No Conversion Required
Initial Height of Liquid: 186.1 Meter --> 186.1 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

C_d = (3*A)/(t_a*L_w*sqrt(2*[g]))*(1/sqrt(H_f)-1/sqrt(H_i)) --> (3*50)/(82*25*sqrt(2*[g]))*(1/sqrt(0.17)-1/sqrt(186.1))

Evaluating ... ...

C_d = 0.038860559977852

STEP 3: Convert Result to Output's Unit

0.038860559977852 --> No Conversion Required

FINAL ANSWER

0.038860559977852 ≈ 0.038861 <-- Coefficient of Discharge

(Calculation completed in 00.020 seconds)

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PSG College of Technology (PSGCT), Coimbatore

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< Discharge Calculators

Time Required to Empty Reservoir

LaTeX Go Total Time Taken = ((3*Area of Weir)/(Coefficient of Discharge*Length of Weir*sqrt(2*[g])))*(1/sqrt(Final Height of Liquid)-1/sqrt(Initial Height of Liquid))

Time Required to Empty Tank with Triangular Weir or Notch

LaTeX Go Total Time Taken = ((5*Area of Weir)/(4*Coefficient of Discharge*tan(Angle A/2)*sqrt(2*[g])))*(1/(Final Height of Liquid^(3/2))-1/(Initial Height of Liquid^(3/2)))

Head of Liquid above V-notch

LaTeX Go Head of Liquid = (Theoretical Discharge/(8/15*Coefficient of Discharge*tan(Angle A/2)*sqrt(2*[g])))^0.4

Head of Liquid at Crest

LaTeX Go Head of Liquid = (Theoretical Discharge/(2/3*Coefficient of Discharge*Length of Weir*sqrt(2*[g])))^(2/3)

Coefficient of Discharge for Time Required to Empty Reservoir Formula

LaTeX Go

What is a notch or weir?

A notch is generally meant to measure the flow of water from a tank. A weir is also a notch but it is made on a large scale. The weir is a notch cut in a dam to discharge the surplus quantity of water.

What is rectangular notch or weir?

The rectangular weir (notch) is a common device used to regulate and measure discharge in irrigation projects. The current research was based mainly on laboratory experiments studying the hydraulic characteristics of rectangular notches.

How to Calculate Coefficient of Discharge for Time Required to Empty Reservoir?

Coefficient of Discharge for Time Required to Empty Reservoir calculator uses Coefficient of Discharge = (3*Area of Weir)/(Total Time Taken*Length of Weir*sqrt(2*[g]))*(1/sqrt(Final Height of Liquid)-1/sqrt(Initial Height of Liquid)) to calculate the Coefficient of Discharge, Coefficient of Discharge for Time required to Empty Reservoir is a dimensionless parameter that represents the efficiency of the flow through an orifice or a restriction. It relates the actual flow rate to the theoretical flow rate based on the size and geometry of the opening. Coefficient of Discharge is denoted by C_d symbol.

How to calculate Coefficient of Discharge for Time Required to Empty Reservoir using this online calculator? To use this online calculator for Coefficient of Discharge for Time Required to Empty Reservoir, enter Area of Weir (A), Total Time Taken (t_a), Length of Weir (L_w), Final Height of Liquid (H_f) & Initial Height of Liquid (H_i) and hit the calculate button. Here is how the Coefficient of Discharge for Time Required to Empty Reservoir calculation can be explained with given input values -> 0.038861 = (3*50)/(82*25*sqrt(2*[g]))*(1/sqrt(0.17)-1/sqrt(186.1)).

FAQ

What is Coefficient of Discharge for Time Required to Empty Reservoir?

Coefficient of Discharge for Time required to Empty Reservoir is a dimensionless parameter that represents the efficiency of the flow through an orifice or a restriction. It relates the actual flow rate to the theoretical flow rate based on the size and geometry of the opening and is represented as C_d = (3*A)/(t_a*L_w*sqrt(2*[g]))*(1/sqrt(H_f)-1/sqrt(H_i)) or Coefficient of Discharge = (3*Area of Weir)/(Total Time Taken*Length of Weir*sqrt(2*[g]))*(1/sqrt(Final Height of Liquid)-1/sqrt(Initial Height of Liquid)). Area of Weir is the amount of two-dimensional space taken up by an object, Total Time Taken is the total time taken by the body to cover that space, The Length of Weir is the of the base of weir through which discharge is taking place, The Final Height of Liquid is a variable from the tank emptying through an orifice at its bottom & The Initial height of liquid is a variable from the tank emptying through an orifice at its bottom.

How to calculate Coefficient of Discharge for Time Required to Empty Reservoir?

Coefficient of Discharge for Time required to Empty Reservoir is a dimensionless parameter that represents the efficiency of the flow through an orifice or a restriction. It relates the actual flow rate to the theoretical flow rate based on the size and geometry of the opening is calculated using Coefficient of Discharge = (3*Area of Weir)/(Total Time Taken*Length of Weir*sqrt(2*[g]))*(1/sqrt(Final Height of Liquid)-1/sqrt(Initial Height of Liquid)). To calculate Coefficient of Discharge for Time Required to Empty Reservoir, you need Area of Weir (A), Total Time Taken (t_a), Length of Weir (L_w), Final Height of Liquid (H_f) & Initial Height of Liquid (H_i). With our tool, you need to enter the respective value for Area of Weir, Total Time Taken, Length of Weir, Final Height of Liquid & Initial Height of Liquid 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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