Coefficient of Velocity given Head Loss Calculator

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Orifices and Mouthpieces

Draft Tube

Properties of Surfaces and Solids

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✖Head Loss is a measure of the reduction in the total head (sum of elevation head, velocity head and pressure head) of the fluid as it moves through a fluid system.ⓘ Head Loss [h_f]			+10% -10%
✖The Head of the liquid is the height of a liquid column that corresponds to a particular pressure exerted by the liquid column from the base of its container.ⓘ Head of the Liquid [H]			+10% -10%

✖The Coefficient of Velocity is the ratio of actual velocity to theoretical velocity.ⓘ Coefficient of Velocity given Head Loss [C_v]

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Formula

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Coefficient of Velocity given Head Loss

Formula

`"C"_{"v"} = sqrt(1-("h"_{"f"}/"H"))`

Example

`"0.984886"=sqrt(1-("1.2m"/"40m"))`

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Coefficient of Velocity given Head Loss Solution

STEP 0: Pre-Calculation Summary

Formula Used

Coefficient of Velocity = sqrt(1-(Head Loss/Head of the Liquid))
C_v = sqrt(1-(h_f/H))
This formula uses 1 Functions, 3 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 Velocity - The Coefficient of Velocity is the ratio of actual velocity to theoretical velocity.
Head Loss - (Measured in Meter) - Head Loss is a measure of the reduction in the total head (sum of elevation head, velocity head and pressure head) of the fluid as it moves through a fluid system.
Head of the Liquid - (Measured in Meter) - The Head of the liquid is the height of a liquid column that corresponds to a particular pressure exerted by the liquid column from the base of its container.

STEP 1: Convert Input(s) to Base Unit

Head Loss: 1.2 Meter --> 1.2 Meter No Conversion Required
Head of the Liquid: 40 Meter --> 40 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

C_v = sqrt(1-(h_f/H)) --> sqrt(1-(1.2/40))

Evaluating ... ...

C_v = 0.98488578017961

STEP 3: Convert Result to Output's Unit

0.98488578017961 --> No Conversion Required

FINAL ANSWER

0.98488578017961 ≈ 0.984886 <-- Coefficient of Velocity

(Calculation completed in 00.004 seconds)

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Home » Physics » Fluid Mechanics » Orifices and Mouthpieces » Velocity and Time » Coefficient of Velocity given Head Loss

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Created by Maiarutselvan V

PSG College of Technology (PSGCT), Coimbatore

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Indian Institute for Aeronautical Engineering and Information Technology (IIAEIT), Pune

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< 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)

Coefficient of Velocity given Head Loss Formula

Coefficient of Velocity = sqrt(1-(Head Loss/Head of the Liquid))
C_v = sqrt(1-(h_f/H))

What is the co-efficient of velocity?

it is defined as the ratio between the actual velocity of a jet of liquid at the vena-contracta and the theoretical velocity of a jet.

What is fluid resistance?

Fluid resistance is a general term describing the extent to which a rubber product retains its original physical characteristics and ability to function when it is exposed to oil, chemicals, water, organic fluids, or any liquid which it is likely to encounter in actual service.

How to Calculate Coefficient of Velocity given Head Loss?

Coefficient of Velocity given Head Loss calculator uses Coefficient of Velocity = sqrt(1-(Head Loss/Head of the Liquid)) to calculate the Coefficient of Velocity, The Coefficient of Velocity given Head Loss formula is known by applying Bernoulli's equation at the outlet of the nozzle and to the jet of water. Coefficient of Velocity is denoted by C_v symbol.

How to calculate Coefficient of Velocity given Head Loss using this online calculator? To use this online calculator for Coefficient of Velocity given Head Loss, enter Head Loss (h_f) & Head of the Liquid (H) and hit the calculate button. Here is how the Coefficient of Velocity given Head Loss calculation can be explained with given input values -> 0.984886 = sqrt(1-(1.2/40)).

FAQ

What is Coefficient of Velocity given Head Loss?

The Coefficient of Velocity given Head Loss formula is known by applying Bernoulli's equation at the outlet of the nozzle and to the jet of water and is represented as C_v = sqrt(1-(h_f/H)) or Coefficient of Velocity = sqrt(1-(Head Loss/Head of the Liquid)). Head Loss is a measure of the reduction in the total head (sum of elevation head, velocity head and pressure head) of the fluid as it moves through a fluid system & The Head of the liquid is the height of a liquid column that corresponds to a particular pressure exerted by the liquid column from the base of its container.

How to calculate Coefficient of Velocity given Head Loss?

The Coefficient of Velocity given Head Loss formula is known by applying Bernoulli's equation at the outlet of the nozzle and to the jet of water is calculated using Coefficient of Velocity = sqrt(1-(Head Loss/Head of the Liquid)). To calculate Coefficient of Velocity given Head Loss, you need Head Loss (h_f) & Head of the Liquid (H). With our tool, you need to enter the respective value for Head Loss & Head of the 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 Coefficient of Velocity?

In this formula, Coefficient of Velocity uses Head Loss & Head of the Liquid. We can use 2 other way(s) to calculate the same, which is/are as follows -

Coefficient of Velocity = Actual Velocity/Theoretical Velocity
Coefficient of Velocity = Horizontal Distance/(sqrt(4*Vertical Distance*Head of the Liquid))

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