Coefficient of Discharge given Time for Emptying Tank Calculator

✖The Area of tank is a variable from the concept of emptying the tank through orifice.ⓘ Area of Tank [A_T]			+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 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%
✖Total Time Taken is the total time taken by the body to cover that space.ⓘ Total Time Taken [t_total]			+10% -10%
✖The Area of Orifice is often a pipe or tube of varying cross-sectional area, and it can be used to direct or modify the flow of a fluid (liquid or gas).ⓘ Area of Orifice [a]			+10% -10%

✖The Coefficient of Discharge or efflux coefficient is the ratio of the actual discharge to the theoretical discharge.ⓘ Coefficient of Discharge given Time for Emptying Tank [C_d]

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Coefficient of Discharge given Time for Emptying Tank Solution

STEP 0: Pre-Calculation Summary

Formula Used

Coefficient of Discharge = (2*Area of Tank*((sqrt(Initial Height of Liquid))-(sqrt(Final Height of Liquid))))/(Total Time Taken*Area of Orifice*sqrt(2*9.81))
C_d = (2*A_T*((sqrt(H_i))-(sqrt(H_f))))/(t_total*a*sqrt(2*9.81))
This formula uses 1 Functions, 6 Variables

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 Tank - (Measured in Square Meter) - The Area of tank is a variable from the concept of emptying the tank through orifice.
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.
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.
Total Time Taken - (Measured in Second) - Total Time Taken is the total time taken by the body to cover that space.
Area of Orifice - (Measured in Square Meter) - The Area of Orifice is often a pipe or tube of varying cross-sectional area, and it can be used to direct or modify the flow of a fluid (liquid or gas).

STEP 1: Convert Input(s) to Base Unit

Area of Tank: 1144 Square Meter --> 1144 Square Meter No Conversion Required
Initial Height of Liquid: 24 Meter --> 24 Meter No Conversion Required
Final Height of Liquid: 20.1 Meter --> 20.1 Meter No Conversion Required
Total Time Taken: 30 Second --> 30 Second No Conversion Required
Area of Orifice: 9.1 Square Meter --> 9.1 Square Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

C_d = (2*A_T*((sqrt(H_i))-(sqrt(H_f))))/(t_total*a*sqrt(2*9.81)) --> (2*1144*((sqrt(24))-(sqrt(20.1))))/(30*9.1*sqrt(2*9.81))

Evaluating ... ...

C_d = 0.786502312252424

STEP 3: Convert Result to Output's Unit

0.786502312252424 --> No Conversion Required

FINAL ANSWER

0.786502312252424 ≈ 0.786502 <-- Coefficient of Discharge

(Calculation completed in 00.020 seconds)

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< Flow Rate Calculators

Coefficient of Discharge given Time of Emptying Hemispherical Tank

LaTeX Go Coefficient of Discharge = (pi*(((4/3)*Hemispherical Tank Radius*((Initial Height of Liquid^(3/2))-(Final Height of Liquid^(3/2))))-((2/5)*((Initial Height of Liquid^(5/2))-(Final Height of Liquid)^(5/2)))))/(Total Time Taken*Area of Orifice*(sqrt(2*9.81)))

Coefficient of Discharge given Time for Emptying Tank

LaTeX Go Coefficient of Discharge = (2*Area of Tank*((sqrt(Initial Height of Liquid))-(sqrt(Final Height of Liquid))))/(Total Time Taken*Area of Orifice*sqrt(2*9.81))

Coefficient of discharge for area and velocity

LaTeX Go Coefficient of Discharge = (Actual Velocity*Actual Area)/(Theoretical Velocity*Theoretical Area)

Coefficient of discharge

LaTeX Go Coefficient of Discharge = Actual Discharge/Theoretical Discharge

Coefficient of Discharge given Time for Emptying Tank Formula

LaTeX Go

What is coefficient of discharge?

The coefficient of discharge is defined as the ratio of the actual discharge from an orifice to the theoretical discharge from the orifice.

What is an orifice?

The orifice is defined as the small opening on the side or bottom of a tank through which any kind of fluid is flowing. The opening can be circular, triangular, or rectangular in cross-section and they are named on the basis of shape accordingly.

How to Calculate Coefficient of Discharge given Time for Emptying Tank?

Coefficient of Discharge given Time for Emptying Tank calculator uses Coefficient of Discharge = (2*Area of Tank*((sqrt(Initial Height of Liquid))-(sqrt(Final Height of Liquid))))/(Total Time Taken*Area of Orifice*sqrt(2*9.81)) to calculate the Coefficient of Discharge, The Coefficient of Discharge given Time for Emptying Tank is known when considering a tank containing some liquid up to a height of H 1. Let 'T' be the time taken for emptying the tank through an orifice at the bottom, 'A' and 'a' be the area of the tank and orifice. Coefficient of Discharge is denoted by C_d symbol.

How to calculate Coefficient of Discharge given Time for Emptying Tank using this online calculator? To use this online calculator for Coefficient of Discharge given Time for Emptying Tank, enter Area of Tank (A_T), Initial Height of Liquid (H_i), Final Height of Liquid (H_f), Total Time Taken (t_total) & Area of Orifice (a) and hit the calculate button. Here is how the Coefficient of Discharge given Time for Emptying Tank calculation can be explained with given input values -> 0.80763 = (2*1144*((sqrt(24))-(sqrt(20.1))))/(30*9.1*sqrt(2*9.81)).

FAQ

What is Coefficient of Discharge given Time for Emptying Tank?

The Coefficient of Discharge given Time for Emptying Tank is known when considering a tank containing some liquid up to a height of H 1. Let 'T' be the time taken for emptying the tank through an orifice at the bottom, 'A' and 'a' be the area of the tank and orifice and is represented as C_d = (2*A_T*((sqrt(H_i))-(sqrt(H_f))))/(t_total*a*sqrt(2*9.81)) or Coefficient of Discharge = (2*Area of Tank*((sqrt(Initial Height of Liquid))-(sqrt(Final Height of Liquid))))/(Total Time Taken*Area of Orifice*sqrt(2*9.81)). The Area of tank is a variable from the concept of emptying the tank through orifice, The Initial height of liquid is a variable from the tank emptying through an orifice at its bottom, The Final height of liquid is a variable from the tank emptying through an orifice at its bottom, Total Time Taken is the total time taken by the body to cover that space & The Area of Orifice is often a pipe or tube of varying cross-sectional area, and it can be used to direct or modify the flow of a fluid (liquid or gas).

How to calculate Coefficient of Discharge given Time for Emptying Tank?

The Coefficient of Discharge given Time for Emptying Tank is known when considering a tank containing some liquid up to a height of H 1. Let 'T' be the time taken for emptying the tank through an orifice at the bottom, 'A' and 'a' be the area of the tank and orifice is calculated using Coefficient of Discharge = (2*Area of Tank*((sqrt(Initial Height of Liquid))-(sqrt(Final Height of Liquid))))/(Total Time Taken*Area of Orifice*sqrt(2*9.81)). To calculate Coefficient of Discharge given Time for Emptying Tank, you need Area of Tank (A_T), Initial Height of Liquid (H_i), Final Height of Liquid (H_f), Total Time Taken (t_total) & Area of Orifice (a). With our tool, you need to enter the respective value for Area of Tank, Initial Height of Liquid, Final Height of Liquid, Total Time Taken & Area of Orifice 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 Coefficient of Discharge?

In this formula, Coefficient of Discharge uses Area of Tank, Initial Height of Liquid, Final Height of Liquid, Total Time Taken & Area of Orifice. We can use 3 other way(s) to calculate the same, which is/are as follows -

Coefficient of Discharge = Actual Discharge/Theoretical Discharge
Coefficient of Discharge = (Actual Velocity*Actual Area)/(Theoretical Velocity*Theoretical Area)
Coefficient of Discharge = (pi*(((4/3)*Hemispherical Tank Radius*((Initial Height of Liquid^(3/2))-(Final Height of Liquid^(3/2))))-((2/5)*((Initial Height of Liquid^(5/2))-(Final Height of Liquid)^(5/2)))))/(Total Time Taken*Area of Orifice*(sqrt(2*9.81)))

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