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%
✖The Coefficient of Discharge or efflux coefficient is the ratio of the actual discharge to the theoretical discharge.ⓘ Coefficient of Discharge [C_d]			+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%

✖Total Time Taken is the total time taken by the body to cover that space.ⓘ Time Required to Empty Reservoir [t_a]

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Time Required to Empty Reservoir Solution

STEP 0: Pre-Calculation Summary

Formula Used

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))
t_a = ((3*A)/(C_d*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

Total Time Taken - (Measured in Second) - Total Time Taken is the total time taken by the body to cover that space.
Area of Weir - (Measured in Square Meter) - Area of Weir is the amount of two-dimensional space taken up by an object.
Coefficient of Discharge - The Coefficient of Discharge or efflux coefficient is the ratio of the actual discharge to the theoretical discharge.
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
Coefficient of Discharge: 0.8 --> 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

t_a = ((3*A)/(C_d*L_w*sqrt(2*[g])))*(1/sqrt(H_f)-1/sqrt(H_i)) --> ((3*50)/(0.8*25*sqrt(2*[g])))*(1/sqrt(0.17)-1/sqrt(186.1))

Evaluating ... ...

t_a = 3.98320739772983

STEP 3: Convert Result to Output's Unit

3.98320739772983 Second --> No Conversion Required

FINAL ANSWER

3.98320739772983 ≈ 3.983207 Second <-- Total Time Taken

(Calculation completed in 00.020 seconds)

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Created by Maiarutselvan V

PSG College of Technology (PSGCT), Coimbatore

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Amrita School of Engineering (ASE), Vallikavu

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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)

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 Time Required to Empty Reservoir?

Time Required to Empty Reservoir calculator uses 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)) to calculate the Total Time Taken, Time Required to Empty Reservoir depends on several factors, including the volume of the reservoir and the flow rate at which the liquid is being drained. Total Time Taken is denoted by t_a symbol.

How to calculate Time Required to Empty Reservoir using this online calculator? To use this online calculator for Time Required to Empty Reservoir, enter Area of Weir (A), Coefficient of Discharge (C_d), 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 Time Required to Empty Reservoir calculation can be explained with given input values -> 3.983207 = ((3*50)/(0.8*25*sqrt(2*[g])))*(1/sqrt(0.17)-1/sqrt(186.1)).

FAQ

What is Time Required to Empty Reservoir?

Time Required to Empty Reservoir depends on several factors, including the volume of the reservoir and the flow rate at which the liquid is being drained and is represented as t_a = ((3*A)/(C_d*L_w*sqrt(2*[g])))*(1/sqrt(H_f)-1/sqrt(H_i)) or 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)). Area of Weir is the amount of two-dimensional space taken up by an object, The Coefficient of Discharge or efflux coefficient is the ratio of the actual discharge to the theoretical discharge, 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 Time Required to Empty Reservoir?

Time Required to Empty Reservoir depends on several factors, including the volume of the reservoir and the flow rate at which the liquid is being drained is calculated using 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)). To calculate Time Required to Empty Reservoir, you need Area of Weir (A), Coefficient of Discharge (C_d), 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, Coefficient of Discharge, 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.

How many ways are there to calculate Total Time Taken?

In this formula, Total Time Taken uses Area of Weir, Coefficient of Discharge, Length of Weir, Final Height of Liquid & Initial Height of Liquid. We can use 1 other way(s) to calculate the same, which is/are as follows -

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)))

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