Time of Emptying Circular Horizontal Tank Solution

STEP 0: Pre-Calculation Summary
Formula Used
Total Time Taken = (4*Length*((((2*Radius 1)-Final Height of Liquid)^(3/2))-((2*Radius 1)-Initial Height of Liquid)^(3/2)))/(3*Coefficient of Discharge*Area of Orifice*(sqrt(2*9.81)))
ttotal = (4*L*((((2*r1)-Hf)^(3/2))-((2*r1)-Hi)^(3/2)))/(3*Cd*a*(sqrt(2*9.81)))
This formula uses 1 Functions, 7 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
Total Time Taken - (Measured in Second) - Total Time Taken is the total time taken by the body to cover that space.
Length - (Measured in Meter) - Length is the measurement or extent of something from end to end.
Radius 1 - (Measured in Meter) - Radius 1 is a radial line from the focus to any point of a curve for 1st Radius.
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.
Coefficient of Discharge - The Coefficient of Discharge or efflux coefficient is the ratio of the actual discharge to the theoretical discharge.
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
Length: 31 Meter --> 31 Meter No Conversion Required
Radius 1: 12 Meter --> 12 Meter No Conversion Required
Final Height of Liquid: 20.1 Meter --> 20.1 Meter No Conversion Required
Initial Height of Liquid: 24 Meter --> 24 Meter No Conversion Required
Coefficient of Discharge: 0.87 --> 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
ttotal = (4*L*((((2*r1)-Hf)^(3/2))-((2*r1)-Hi)^(3/2)))/(3*Cd*a*(sqrt(2*9.81))) --> (4*31*((((2*12)-20.1)^(3/2))-((2*12)-24)^(3/2)))/(3*0.87*9.1*(sqrt(2*9.81)))
Evaluating ... ...
ttotal = 9.07793762843676
STEP 3: Convert Result to Output's Unit
9.07793762843676 Second --> No Conversion Required
FINAL ANSWER
9.07793762843676 9.077938 Second <-- Total Time Taken
(Calculation completed in 00.004 seconds)

Credits

Created by Maiarutselvan V
PSG College of Technology (PSGCT), Coimbatore
Maiarutselvan V has created this Calculator and 300+ more calculators!
Verified by Vinay Mishra
Indian Institute for Aeronautical Engineering and Information Technology (IIAEIT), Pune
Vinay Mishra has verified this Calculator and 100+ more calculators!

8 Velocity and Time Calculators

Time of Emptying Hemispherical Tank
Go Total Time Taken = (pi*(((4/3)*Hemispherical Tank Radius*((Initial Height of Liquid^1.5)-(Final Height of Liquid^1.5)))-(0.4*((Initial Height of Liquid^(5/2))-(Final Height of Liquid)^(5/2)))))/(Coefficient of Discharge*Area of Orifice*(sqrt(2*9.81)))
Time of Emptying Circular Horizontal Tank
Go Total Time Taken = (4*Length*((((2*Radius 1)-Final Height of Liquid)^(3/2))-((2*Radius 1)-Initial Height of Liquid)^(3/2)))/(3*Coefficient of Discharge*Area of Orifice*(sqrt(2*9.81)))
Time of Emptying Tank through Orifice at Bottom
Go Total Time Taken = (2*Area of Tank*((sqrt(Initial Height of Liquid))-(sqrt(Final Height of Liquid))))/(Coefficient of Discharge*Area of Orifice*sqrt(2*9.81))
Velocity of liquid at C-C for Hc, Ha, and H
Go Velocity of Liquid Inlet = sqrt(2*9.81*(Atmospheric Pressure Head+Constant Head-Absolute Pressure Head))
Coefficient of velocity for horizontal and vertical distance
Go Coefficient of Velocity = Horizontal Distance/(sqrt(4*Vertical Distance*Head of the Liquid))
Coefficient of Velocity given Head Loss
Go Coefficient of Velocity = sqrt(1-(Head Loss/Head of the Liquid))
Coefficient of velocity
Go Coefficient of Velocity = Actual Velocity/Theoretical Velocity
Theoretical velocity
Go Velocity = sqrt(2*9.81*Pelton Head)

Time of Emptying Circular Horizontal Tank Formula

Total Time Taken = (4*Length*((((2*Radius 1)-Final Height of Liquid)^(3/2))-((2*Radius 1)-Initial Height of Liquid)^(3/2)))/(3*Coefficient of Discharge*Area of Orifice*(sqrt(2*9.81)))
ttotal = (4*L*((((2*r1)-Hf)^(3/2))-((2*r1)-Hi)^(3/2)))/(3*Cd*a*(sqrt(2*9.81)))

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 Time of Emptying Circular Horizontal Tank?

Time of Emptying Circular Horizontal Tank calculator uses Total Time Taken = (4*Length*((((2*Radius 1)-Final Height of Liquid)^(3/2))-((2*Radius 1)-Initial Height of Liquid)^(3/2)))/(3*Coefficient of Discharge*Area of Orifice*(sqrt(2*9.81))) to calculate the Total Time Taken, The Time of Emptying Circular Horizontal Tank formula is known while considering a circular horizontal tank of length L and radius R, containing liquid up to a height of H1. Total Time Taken is denoted by ttotal symbol.

How to calculate Time of Emptying Circular Horizontal Tank using this online calculator? To use this online calculator for Time of Emptying Circular Horizontal Tank, enter Length (L), Radius 1 (r1), Final Height of Liquid (Hf), Initial Height of Liquid (Hi), Coefficient of Discharge (Cd) & Area of Orifice (a) and hit the calculate button. Here is how the Time of Emptying Circular Horizontal Tank calculation can be explained with given input values -> 9.429318 = (4*31*((((2*12)-20.1)^(3/2))-((2*12)-24)^(3/2)))/(3*0.87*9.1*(sqrt(2*9.81))).

FAQ

What is Time of Emptying Circular Horizontal Tank?
The Time of Emptying Circular Horizontal Tank formula is known while considering a circular horizontal tank of length L and radius R, containing liquid up to a height of H1 and is represented as ttotal = (4*L*((((2*r1)-Hf)^(3/2))-((2*r1)-Hi)^(3/2)))/(3*Cd*a*(sqrt(2*9.81))) or Total Time Taken = (4*Length*((((2*Radius 1)-Final Height of Liquid)^(3/2))-((2*Radius 1)-Initial Height of Liquid)^(3/2)))/(3*Coefficient of Discharge*Area of Orifice*(sqrt(2*9.81))). Length is the measurement or extent of something from end to end, Radius 1 is a radial line from the focus to any point of a curve for 1st Radius, 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, The Coefficient of Discharge or efflux coefficient is the ratio of the actual discharge to the theoretical discharge & 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 Time of Emptying Circular Horizontal Tank?
The Time of Emptying Circular Horizontal Tank formula is known while considering a circular horizontal tank of length L and radius R, containing liquid up to a height of H1 is calculated using Total Time Taken = (4*Length*((((2*Radius 1)-Final Height of Liquid)^(3/2))-((2*Radius 1)-Initial Height of Liquid)^(3/2)))/(3*Coefficient of Discharge*Area of Orifice*(sqrt(2*9.81))). To calculate Time of Emptying Circular Horizontal Tank, you need Length (L), Radius 1 (r1), Final Height of Liquid (Hf), Initial Height of Liquid (Hi), Coefficient of Discharge (Cd) & Area of Orifice (a). With our tool, you need to enter the respective value for Length, Radius 1, Final Height of Liquid, Initial Height of Liquid, Coefficient of Discharge & 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 Total Time Taken?
In this formula, Total Time Taken uses Length, Radius 1, Final Height of Liquid, Initial Height of Liquid, Coefficient of Discharge & Area of Orifice. We can use 2 other way(s) to calculate the same, which is/are as follows -
  • Total Time Taken = (2*Area of Tank*((sqrt(Initial Height of Liquid))-(sqrt(Final Height of Liquid))))/(Coefficient of Discharge*Area of Orifice*sqrt(2*9.81))
  • Total Time Taken = (pi*(((4/3)*Hemispherical Tank Radius*((Initial Height of Liquid^1.5)-(Final Height of Liquid^1.5)))-(0.4*((Initial Height of Liquid^(5/2))-(Final Height of Liquid)^(5/2)))))/(Coefficient of Discharge*Area of Orifice*(sqrt(2*9.81)))
Let Others Know
Facebook
Twitter
Reddit
LinkedIn
Email
WhatsApp
Copied!