Dimensionless Time Solution

STEP 0: Pre-Calculation Summary
Formula Used
Dimensionless Time = ([g]*Time for Dimensionless Parameter Calculation)/Friction Velocity
t' = ([g]*t)/Vf
This formula uses 1 Constants, 3 Variables
Constants Used
[g] - Gravitational acceleration on Earth Value Taken As 9.80665
Variables Used
Dimensionless Time - Dimensionless Time for the empirical prediction method.
Time for Dimensionless Parameter Calculation - (Measured in Second) - Time for Dimensionless Parameter Calculation is defined as time recorded in second for dimensionless parameter calculation.
Friction Velocity - (Measured in Meter per Second) - Friction velocity, also called Shear velocity, is a form by which a shear stress may be re-written in units of velocity.
STEP 1: Convert Input(s) to Base Unit
Time for Dimensionless Parameter Calculation: 68 Second --> 68 Second No Conversion Required
Friction Velocity: 6 Meter per Second --> 6 Meter per Second No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
t' = ([g]*t)/Vf --> ([g]*68)/6
Evaluating ... ...
t' = 111.142033333333
STEP 3: Convert Result to Output's Unit
111.142033333333 --> No Conversion Required
FINAL ANSWER
111.142033333333 111.142 <-- Dimensionless Time
(Calculation completed in 00.020 seconds)

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Coorg Institute of Technology (CIT), Coorg
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19 Parametric Spectrum Models Calculators

JONSWAP Spectrum for Fetch-limited Seas
Go Frequency Energy Spectrum = ((Dimensionless Scaling Parameter*[g]^2)/((2*pi)^4*Wave Frequency^5))*(exp(-1.25*(Wave Frequency/Frequency at Spectral Peak)^-4)*Peak Enhancement Factor)^exp(-((Wave Frequency/Frequency at Spectral Peak)-1)^2/(2*Standard Deviation^2))
Frequency of Spectral Peak
Go Frequency at Spectral Peak = ([g]*18.8*(([g]*Fetch Length)/Wind Speed at Height of 10 m^2)^-0.33)/(2*pi*Wind Speed at Height of 10 m)
Frequency of Spectral Peak Given Wind Speed
Go Frequency at Spectral Peak = ([g]*(Controlling Parameter for the Angular Distribution/11.5)^(-1/2.5))/(2*pi*Wind Speed at Height of 10 m)
Wind Speed given Maximum Controlling Parameter for Angular Distribution
Go Wind Speed at Height of 10 m = [g]*(Controlling Parameter for the Angular Distribution/11.5)^(-1/2.5)/(2*pi*Frequency at Spectral Peak)
Maximum Controlling Parameter for Angular Distribution
Go Controlling Parameter for the Angular Distribution = 11.5*((2*pi*Frequency at Spectral Peak*Wind Speed at Height of 10 m)/[g])^-2.5
Wind Speed at Elevation 10m above Sea Surface given Scaling Parameter
Go Wind Speed at Height of 10 m = ((Fetch Length*[g])/(Dimensionless Scaling Parameter/0.076)^(-1/0.22))^0.5
Fetch Length given Scaling Parameter
Go Fetch Length = (Wind Speed at Height of 10 m^2*((Dimensionless Scaling Parameter/0.076)^-(1/0.22)))/[g]
Scaling Parameter
Go Dimensionless Scaling Parameter = 0.076*(([g]*Fetch Length)/Wind Speed at Height of 10 m^2)^-0.22
Dimensionless Time
Go Dimensionless Time = ([g]*Time for Dimensionless Parameter Calculation)/Friction Velocity
Significant Wave Height given Significant Wave Height of Lower and Higher frequency Components
Go Significant Wave Height = sqrt(Significant Wave Height 1^2+Significant Wave Height 2^2)
Significant Wave Height of Higher frequency Component
Go Significant Wave Height 2 = sqrt(Significant Wave Height^2-Significant Wave Height 1^2)
Significant Wave Height of Lower frequency Component
Go Significant Wave Height 1 = sqrt(Significant Wave Height^2-Significant Wave Height 2^2)
Wind Speed at Elevation 10m above Sea Surface given Frequency at Spectral Peak
Go Wind Speed at Height of 10 m = ((Fetch Length*[g]^2)/(Frequency at Spectral Peak/3.5)^-(1/0.33))^(1/3)
Fetch Length given Frequency at Spectral Peak
Go Fetch Length = ((Wind Speed at Height of 10 m^3)*((Frequency at Spectral Peak/3.5)^-(1/0.33)))/[g]^2
Frequency at Spectral Peak
Go Frequency at Spectral Peak = 3.5*(([g]^2*Fetch Length)/Wind Speed at Height of 10 m^3)^-0.33
Shape Factor for Higher Frequency Component
Go Shape Factor for Higher Frequency Component = 1.82*exp(-0.027*Significant Wave Height)
Phillip's equilibrium range of spectrum for fully developed sea in deep water
Go Phillip's Equilibrium Range of Spectrum = Constant B*[g]^2*Wave Angular Frequency^-5
Weighing Factor for Angular Frequency greater than One
Go Weighing Factor = 1-0.5*(2-Wave Angular Frequency)^2
Weighing Factor for angular frequency lesser than or equal to one
Go Weighing Factor = 0.5*Wave Angular Frequency^2

Dimensionless Time Formula

Dimensionless Time = ([g]*Time for Dimensionless Parameter Calculation)/Friction Velocity
t' = ([g]*t)/Vf

What are the characteristics of progressive waves?

A progressive wave is formed due to continuous vibration of the particles of the medium.
The wave travels with a certain velocity.
There is a flow of energy in the direction of the wave.
No particles in the medium are at rest.
The amplitude of all the particles is the same.

How to Calculate Dimensionless Time?

Dimensionless Time calculator uses Dimensionless Time = ([g]*Time for Dimensionless Parameter Calculation)/Friction Velocity to calculate the Dimensionless Time, The Dimensionless Time is defined as the basic tenet of the empirical prediction method and interrelationship with other wave parameters governed by Universal Laws. Dimensionless Time is denoted by t' symbol.

How to calculate Dimensionless Time using this online calculator? To use this online calculator for Dimensionless Time, enter Time for Dimensionless Parameter Calculation (t) & Friction Velocity (Vf) and hit the calculate button. Here is how the Dimensionless Time calculation can be explained with given input values -> 111.142 = ([g]*68)/6.

FAQ

What is Dimensionless Time?
The Dimensionless Time is defined as the basic tenet of the empirical prediction method and interrelationship with other wave parameters governed by Universal Laws and is represented as t' = ([g]*t)/Vf or Dimensionless Time = ([g]*Time for Dimensionless Parameter Calculation)/Friction Velocity. Time for Dimensionless Parameter Calculation is defined as time recorded in second for dimensionless parameter calculation & Friction velocity, also called Shear velocity, is a form by which a shear stress may be re-written in units of velocity.
How to calculate Dimensionless Time?
The Dimensionless Time is defined as the basic tenet of the empirical prediction method and interrelationship with other wave parameters governed by Universal Laws is calculated using Dimensionless Time = ([g]*Time for Dimensionless Parameter Calculation)/Friction Velocity. To calculate Dimensionless Time, you need Time for Dimensionless Parameter Calculation (t) & Friction Velocity (Vf). With our tool, you need to enter the respective value for Time for Dimensionless Parameter Calculation & Friction Velocity and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.
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