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 = (Vfv*T)/KC
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 = (Vfv*T)/KC --> (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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The Keulegan Carpenter Number Calculators

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

Characteristic Length Scale of Object Formula

​LaTeX ​Go
Length Scale = (Amplitude of Flow Velocity Oscillation*Time Period of Oscillations)/Keulegan-Carpenter Number
L = (Vfv*T)/KC

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 (Vfv), Time Period of Oscillations (T) & Keulegan-Carpenter Number (KC) 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 = (Vfv*T)/KC 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 (Vfv), Time Period of Oscillations (T) & Keulegan-Carpenter Number (KC). 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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