Time Required to Empty Tank with Triangular Weir or Notch Calculator

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Notches and Weirs

Draft Tube

Orifices and Mouthpieces

Properties of Surfaces and Solids

Viscous Flow

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Discharge

Geometric DImension

✖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 angle A the space between two intersecting lines or surfaces at or close to the point where they meet.ⓘ Angle A [∠A]			+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 Tank with Triangular Weir or Notch [t_total]

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Formula

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Time Required to Empty Tank with Triangular Weir or Notch

Formula

`"t"_{"total"} = ((5*"A")/(4*"C"_{"d"}*tan("∠A"/2)*sqrt(2*"[g]")))*(1/("H"_{"f"}^(3/2))-1/("H"_{"i"}^(3/2)))`

Example

`"939.2406s"=((5*"50m²")/(4*"0.8"*tan("30°"/2)*sqrt(2*"[g]")))*(1/(("0.17m")^(3/2))-1/(("186.1m")^(3/2)))`

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Time Required to Empty Tank with Triangular Weir or Notch Solution

STEP 0: Pre-Calculation Summary

Formula Used

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)))
t_total = ((5*A)/(4*C_d*tan(∠A/2)*sqrt(2*[g])))*(1/(H_f^(3/2))-1/(H_i^(3/2)))
This formula uses 1 Constants, 2 Functions, 6 Variables

Constants Used

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

Functions Used

tan - The tangent of an angle is a trigonometric ratio of the length of the side opposite an angle to the length of the side adjacent to an angle in a right triangle., tan(Angle)
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.
Angle A - (Measured in Radian) - The angle A the space between two intersecting lines or surfaces at or close to the point where they meet.
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
Angle A: 30 Degree --> 0.5235987755982 Radian (Check conversion here)
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_total = ((5*A)/(4*C_d*tan(∠A/2)*sqrt(2*[g])))*(1/(H_f^(3/2))-1/(H_i^(3/2))) --> ((5*50)/(4*0.8*tan(0.5235987755982/2)*sqrt(2*[g])))*(1/(0.17^(3/2))-1/(186.1^(3/2)))

Evaluating ... ...

t_total = 939.240626401677

STEP 3: Convert Result to Output's Unit

939.240626401677 Second --> No Conversion Required

FINAL ANSWER

939.240626401677 ≈ 939.2406 Second <-- Total Time Taken

(Calculation completed in 00.004 seconds)

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< 17 Discharge Calculators

Discharge over Trapezoidal Notch or Weir

Go Theoretical Discharge = 2/3*Coefficient of Discharge Rectangular*Length of Weir*sqrt(2*[g])*Head of Liquid^(3/2)+8/15*Coefficient of Discharge Triangular*tan(Angle A/2)*sqrt(2*[g])*Head of Liquid^(5/2)

Time Required to Empty Reservoir

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))

Coefficient of Discharge for Time Required to Empty Reservoir

Go 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))

Time Required to Empty Tank with Triangular Weir or Notch

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)))

Discharge over Rectangle Weir for Bazin's formula with Velocity of Approach

Go Discharge Weir = (0.405+0.003/(Head of Liquid+Head Due to Velocity of Approach))*Length of Weir*sqrt(2*[g])*(Head of Liquid+Head Due to Velocity of Approach)^(3/2)

Discharge with Velocity of Approach

Go Discharge = 2/3*Coefficient of Discharge*Length of Weir*sqrt(2*[g])*((Initial Height of Liquid+Final Height of Liquid)^(3/2)-Final Height of Liquid^(3/2))

Discharge over Broad-Crested Weir for Head of Liquid at Middle

Go Discharge Weir = Coefficient of Discharge*Length of Weir*sqrt(2*[g]*(Head of Liquid Middle^2*Head of Liquid-Head of Liquid Middle^3))

Discharge over Broad-Crested Weir with Velocity of Approach

Go Discharge Weir = 1.705*Coefficient of Discharge*Length of Weir*((Head of Liquid+Head Due to Velocity of Approach)^(3/2)-Head Due to Velocity of Approach^(3/2))

Discharge over Rectangle Weir with Two End Contractions

Go Discharge Weir = 2/3*Coefficient of Discharge*(Length of Weir-0.2*Head of Liquid)*sqrt(2*[g])*Head of Liquid^(3/2)

Head of Liquid above V-notch

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

Discharge over Triangular Notch or Weir

Go Theoretical Discharge = 8/15*Coefficient of Discharge*tan(Angle A/2)*sqrt(2*[g])*Head of Liquid^(5/2)

Head of Liquid at Crest

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

Discharge over Rectangle Notch or Weir

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

Discharge without Velocity of Approach

Go Discharge = 2/3*Coefficient of Discharge*Length of Weir*sqrt(2*[g])*Initial Height of Liquid^(3/2)

Discharge over Rectangle Weir Considering Bazin's formula

Go Discharge Weir = (0.405+0.003/Head of Liquid)*Length of Weir*sqrt(2*[g])*Head of Liquid^(3/2)

Discharge over Rectangle Weir Considering Francis's formula

Go Discharge = 1.84*Length of Weir*((Initial Height of Liquid+Final Height of Liquid)^(3/2)-Final Height of Liquid^(3/2))

Discharge over Broad-Crested Weir

Go Discharge Weir = 1.705*Coefficient of Discharge*Length of Weir*Head of Liquid^(3/2)

Time Required to Empty Tank with Triangular Weir or Notch Formula

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 triangular notch or weir?

Triangular weirs are sharp-crested thin plates with V-shaped opening (or notch). These plates are installed at the exit of a channel, tank, or basin in order to measure the real-time flow of water.

How to Calculate Time Required to Empty Tank with Triangular Weir or Notch?

Time Required to Empty Tank with Triangular Weir or Notch calculator uses 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))) to calculate the Total Time Taken, Time Required to Empty Tank with Triangular Weir or Notch can be understood by considering the dynamics of the flow. When the liquid flows over the triangular weir or notch, it follows a predictable pattern that can be analyzed to estimate the time it takes for the tank to empty. Total Time Taken is denoted by t_total symbol.

How to calculate Time Required to Empty Tank with Triangular Weir or Notch using this online calculator? To use this online calculator for Time Required to Empty Tank with Triangular Weir or Notch, enter Area of Weir (A), Coefficient of Discharge (C_d), Angle A (∠A), 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 Tank with Triangular Weir or Notch calculation can be explained with given input values -> 933.5504 = ((5*50)/(4*0.8*tan(0.5235987755982/2)*sqrt(2*[g])))*(1/(0.17^(3/2))-1/(186.1^(3/2))).

FAQ

What is Time Required to Empty Tank with Triangular Weir or Notch?

Time Required to Empty Tank with Triangular Weir or Notch can be understood by considering the dynamics of the flow. When the liquid flows over the triangular weir or notch, it follows a predictable pattern that can be analyzed to estimate the time it takes for the tank to empty and is represented as t_total = ((5*A)/(4*C_d*tan(∠A/2)*sqrt(2*[g])))*(1/(H_f^(3/2))-1/(H_i^(3/2))) or 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))). 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 angle A the space between two intersecting lines or surfaces at or close to the point where they meet, 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 Tank with Triangular Weir or Notch?

Time Required to Empty Tank with Triangular Weir or Notch can be understood by considering the dynamics of the flow. When the liquid flows over the triangular weir or notch, it follows a predictable pattern that can be analyzed to estimate the time it takes for the tank to empty is calculated using 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))). To calculate Time Required to Empty Tank with Triangular Weir or Notch, you need Area of Weir (A), Coefficient of Discharge (C_d), Angle A (∠A), 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, Angle A, 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, Angle A, 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 = ((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))

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