Characteristic Length Scale of Object Calculator

✖Amplitude of Flow Velocity Oscillation or the amplitude of the object’s velocity, in case of an oscillating object.ⓘ Amplitude of Flow Velocity Oscillation [V_fv]			+10% -10%
✖The Time Period of Oscillations is the time taken by a complete cycle of the wave to pass a point.ⓘ Time Period of Oscillations [T]			+10% -10%
✖Keulegan-Carpenter Number also called the period number, is a dimensionless quantity describing the relative importance of the drag forces.ⓘ Keulegan-Carpenter Number [K_C]			+10% -10%

✖Length Scale for a typical coastal engineering flow situation.ⓘ Characteristic Length Scale of Object [L]

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Formula

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Characteristic Length Scale of Object

Formula

`"L" = ("V"_{"fv"}*"T")/"K"_{"C"}`

Example

`"31m"=("4m/s"*"62s")/"8"`

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Characteristic Length Scale of Object Solution

STEP 0: Pre-Calculation Summary

Formula Used

Length Scale = (Amplitude of Flow Velocity Oscillation*Time Period of Oscillations)/Keulegan-Carpenter Number
L = (V_fv*T)/K_C
This formula uses 4 Variables

Variables Used

Length Scale - (Measured in Meter) - Length Scale for a typical coastal engineering flow situation.
Amplitude of Flow Velocity Oscillation - (Measured in Meter per Second) - Amplitude of Flow Velocity Oscillation or the amplitude of the object’s velocity, in case of an oscillating object.
Time Period of Oscillations - (Measured in Second) - The Time Period of Oscillations is the time taken by a complete cycle of the wave to pass a point.
Keulegan-Carpenter Number - Keulegan-Carpenter Number also called the period number, is a dimensionless quantity describing the relative importance of the drag forces.

STEP 1: Convert Input(s) to Base Unit

Amplitude of Flow Velocity Oscillation: 4 Meter per Second --> 4 Meter per Second No Conversion Required
Time Period of Oscillations: 62 Second --> 62 Second No Conversion Required
Keulegan-Carpenter Number: 8 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

L = (V_fv*T)/K_C --> (4*62)/8

Evaluating ... ...

L = 31

STEP 3: Convert Result to Output's Unit

31 Meter --> No Conversion Required

FINAL ANSWER

31 Meter <-- Length Scale

(Calculation completed in 00.004 seconds)

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Coorg Institute of Technology (CIT), Coorg

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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

Characteristic Length Scale of Object Formula

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

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 The Morison (MOJS) equation?

In fluid dynamics, the "Morison equation" is a semi-empirical equation for the inline force on a body in oscillatory flow. It is sometimes called the "MOJS equation" after all four authors – Morison, O’Brien, Johnson and Schaaf –of the 1950 paper in which the equation was introduced.

How to Calculate Characteristic Length Scale of Object?

Characteristic Length Scale of Object calculator uses Length Scale = (Amplitude of Flow Velocity Oscillation*Time Period of Oscillations)/Keulegan-Carpenter Number to calculate the Length Scale, The Characteristic length scale of object, for instance the diameter for a cylinder under wave loading influencing the relative importance of the drag forces over inertia forces for bluff objects in an oscillatory fluid flow. Length Scale is denoted by L symbol.

How to calculate Characteristic Length Scale of Object using this online calculator? To use this online calculator for Characteristic Length Scale of Object, enter Amplitude of Flow Velocity Oscillation (V_fv), Time Period of Oscillations (T) & Keulegan-Carpenter Number (K_C) and hit the calculate button. Here is how the Characteristic Length Scale of Object calculation can be explained with given input values -> 31 = (4*62)/8.

FAQ

What is Characteristic Length Scale of Object?

The Characteristic length scale of object, for instance the diameter for a cylinder under wave loading influencing the relative importance of the drag forces over inertia forces for bluff objects in an oscillatory fluid flow and is represented as L = (V_fv*T)/K_C or Length Scale = (Amplitude of Flow Velocity Oscillation*Time Period of Oscillations)/Keulegan-Carpenter Number. Amplitude of Flow Velocity Oscillation or the amplitude of the object’s velocity, in case of an oscillating object, The Time Period of Oscillations is the time taken by a complete cycle of the wave to pass a point & Keulegan-Carpenter Number also called the period number, is a dimensionless quantity describing the relative importance of the drag forces.

How to calculate Characteristic Length Scale of Object?

The Characteristic length scale of object, for instance the diameter for a cylinder under wave loading influencing the relative importance of the drag forces over inertia forces for bluff objects in an oscillatory fluid flow is calculated using Length Scale = (Amplitude of Flow Velocity Oscillation*Time Period of Oscillations)/Keulegan-Carpenter Number. To calculate Characteristic Length Scale of Object, you need Amplitude of Flow Velocity Oscillation (V_fv), Time Period of Oscillations (T) & Keulegan-Carpenter Number (K_C). With our tool, you need to enter the respective value for Amplitude of Flow Velocity Oscillation, Time Period of Oscillations & Keulegan-Carpenter Number 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 Length Scale?

In this formula, Length Scale uses Amplitude of Flow Velocity Oscillation, Time Period of Oscillations & Keulegan-Carpenter Number. We can use 1 other way(s) to calculate the same, which is/are as follows -

Length Scale = Excursion Amplitude of Fluid Particles/Displacement Parameter

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