Keulegan-Carpenter Number for Sinusoidal Motion of Fluid Calculator

✖Keulegan-Carpenter Number also called the period number, is a dimensionless quantity describing the relative importance of the drag forces.ⓘ Keulegan-Carpenter Number for Sinusoidal Motion of Fluid [K_C]

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Formula

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Keulegan-Carpenter Number for Sinusoidal Motion of Fluid

Formula

`"K"_{"C"} = 2*pi*"δ"`

Example

`"9.424778"=2*pi*"1.5"`

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Keulegan-Carpenter Number for Sinusoidal Motion of Fluid Solution

STEP 0: Pre-Calculation Summary

Formula Used

Keulegan-Carpenter Number = 2*pi*Displacement Parameter
K_C = 2*pi*δ
This formula uses 1 Constants, 2 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Variables Used

Keulegan-Carpenter Number - Keulegan-Carpenter Number also called the period number, is a dimensionless quantity describing the relative importance of the drag forces.
Displacement Parameter - Displacement Parameter used for sediment transport under water waves.

STEP 1: Convert Input(s) to Base Unit

Displacement Parameter: 1.5 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

K_C = 2*pi*δ --> 2*pi*1.5

Evaluating ... ...

K_C = 9.42477796076938

STEP 3: Convert Result to Output's Unit

9.42477796076938 --> No Conversion Required

FINAL ANSWER

9.42477796076938 ≈ 9.424778 <-- Keulegan-Carpenter Number

(Calculation completed in 00.004 seconds)

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< 11 The Keulegan-Carpenter Number Calculators

Amplitude of Flow Velocity Oscillation for Sinusoidal Motion of Fluid

Go Amplitude of Flow Velocity Oscillation = (Excursion Amplitude of Fluid Particles*2*pi)/Time Period of Oscillations

Period of Oscillation for Sinusoidal Motion of Fluid

Go Time Period of Oscillations = (Excursion Amplitude of Fluid Particles*2*pi)/Amplitude of Flow Velocity Oscillation

Amplitude of Flow Velocity Oscillation

Go Amplitude of Flow Velocity Oscillation = (Keulegan-Carpenter Number*Length Scale)/Time Period of Oscillations

Characteristic Length Scale of Object

Go Length Scale = (Amplitude of Flow Velocity Oscillation*Time Period of Oscillations)/Keulegan-Carpenter Number

Keulegan-Carpenter Number

Go Keulegan-Carpenter Number = (Amplitude of Flow Velocity Oscillation*Time Period of Oscillations)/Length Scale

Period of Oscillation

Go Time Period of Oscillations = (Keulegan-Carpenter Number*Length Scale)/Amplitude of Flow Velocity Oscillation

Excursion Amplitude of Fluid Particles in Oscillatory Flow given Displacement Parameter

Go Excursion Amplitude of Fluid Particles = Displacement Parameter*Length Scale

Characteristic Length Scale of Object given Displacement Parameter

Go Length Scale = Excursion Amplitude of Fluid Particles/Displacement Parameter

Displacement Parameter for Sediment Transport under Water Waves

Go Displacement Parameter = Excursion Amplitude of Fluid Particles/Length Scale

Displacement Parameter for Sediment Transport for Sinusoidal Motion of Fluid

Go Displacement Parameter = Keulegan-Carpenter Number/(2*pi)

Keulegan-Carpenter Number for Sinusoidal Motion of Fluid

Go Keulegan-Carpenter Number = 2*pi*Displacement Parameter

Keulegan-Carpenter Number for Sinusoidal Motion of Fluid Formula

Keulegan-Carpenter Number = 2*pi*Displacement Parameter
K_C = 2*pi*δ

What is Keulegan–Carpenter Number?

In fluid dynamics, the Keulegan–Carpenter Number, also called the period number, is a dimensionless quantity describing the relative importance of the drag forces over inertia forces for bluff objects in an oscillatory fluid flow. Or similarly, for objects that oscillate in a fluid at rest.

What is Navier–Stokes equations?

The Navier–Stokes equations are a set of partial differential equations which describe the motion of viscous fluid substances, named after the French engineer and physicist Claude-Louis Navier and Anglo-Irish physicist and mathematician George Gabriel Stokes.

How to Calculate Keulegan-Carpenter Number for Sinusoidal Motion of Fluid?

Keulegan-Carpenter Number for Sinusoidal Motion of Fluid calculator uses Keulegan-Carpenter Number = 2*pi*Displacement Parameter to calculate the Keulegan-Carpenter Number, The Keulegan-carpenter number for sinusoidal motion of fluid is a dimensionless quantity describing the relative importance of the drag forces over inertia forces for bluff objects in an oscillatory fluid flow. Keulegan-Carpenter Number is denoted by K_C symbol.

How to calculate Keulegan-Carpenter Number for Sinusoidal Motion of Fluid using this online calculator? To use this online calculator for Keulegan-Carpenter Number for Sinusoidal Motion of Fluid, enter Displacement Parameter (δ) and hit the calculate button. Here is how the Keulegan-Carpenter Number for Sinusoidal Motion of Fluid calculation can be explained with given input values -> 9.424778 = 2*pi*1.5.

FAQ

What is Keulegan-Carpenter Number for Sinusoidal Motion of Fluid?

How to calculate Keulegan-Carpenter Number for Sinusoidal Motion of Fluid?

The Keulegan-carpenter number for sinusoidal motion of fluid is a dimensionless quantity describing the relative importance of the drag forces over inertia forces for bluff objects in an oscillatory fluid flow is calculated using Keulegan-Carpenter Number = 2*pi*Displacement Parameter. To calculate Keulegan-Carpenter Number for Sinusoidal Motion of Fluid, you need Displacement Parameter (δ). With our tool, you need to enter the respective value for Displacement Parameter 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 Keulegan-Carpenter Number?

In this formula, Keulegan-Carpenter Number uses Displacement Parameter. We can use 1 other way(s) to calculate the same, which is/are as follows -

Keulegan-Carpenter Number = (Amplitude of Flow Velocity Oscillation*Time Period of Oscillations)/Length Scale

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