Limiting Wave Period Solution

STEP 0: Pre-Calculation Summary
Formula Used
Limiting Wave Period = 9.78*((Water Depth from Bed/[g])^0.5)
Tp = 9.78*((Dw/[g])^0.5)
This formula uses 1 Constants, 2 Variables
Constants Used
[g] - Gravitational acceleration on Earth Value Taken As 9.80665
Variables Used
Limiting Wave Period - (Measured in Second) - Limiting Wave Period is defined as the parameter of wave mechanics.
Water Depth from Bed - (Measured in Meter) - Water depth from bed means the depth as measured from the water level to the bottom of the considered water body.
STEP 1: Convert Input(s) to Base Unit
Water Depth from Bed: 45 Meter --> 45 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Tp = 9.78*((Dw/[g])^0.5) --> 9.78*((45/[g])^0.5)
Evaluating ... ...
Tp = 20.9500360146299
STEP 3: Convert Result to Output's Unit
20.9500360146299 Second --> No Conversion Required
FINAL ANSWER
20.9500360146299 20.95004 Second <-- Limiting Wave Period
(Calculation completed in 00.020 seconds)

Credits

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Coorg Institute of Technology (CIT), Coorg
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9 Wave Hindcasting and Forecasting Calculators

Spectral Energy Density or Classical Moskowitz Spectrum
Go Spectral Energy Density = ((Dimensionless Constant*([g]^2)*(Coriolis Frequency^-5))/(2*pi)^4)*exp(0.74*(Coriolis Frequency/Limiting Frequency)^-4)
Straight-Line Distance over which Wind Blows
Go Straight Line Distance over which Wind Blows = (Friction Velocity^2/[g])*5.23*10^-3*([g]*Wind Duration/Friction Velocity)^(3/2)
Wind Speed given Time required for Waves crossing Fetch under Wind Velocity
Go Wind Speed = ((77.23*Straight Line Distance over which Wind Blows^0.67)/(Time required for Waves crossing Fetch*[g]^0.33))^(1/0.34)
Straight-Line Distance given Time required for Waves Crossing Fetch under Wind Velocity
Go Straight Line Distance over which Wind Blows = ((Time required for Waves crossing Fetch*Wind Speed^0.34*[g]^0.33)/77.23)^(1/0.67)
Time required for Waves Crossing Fetch under Wind Velocity to become Fetch Limited
Go Time required for Waves crossing Fetch = 77.23*(Straight Line Distance over which Wind Blows^0.67/(Wind Speed^0.34*[g]^0.33))
Spectral Energy Density
Go Spectral Energy Density = (Dimensionless Constant*([g]^2)*(Coriolis Frequency^-5))/(2*pi)^4
Water Depth for given Limiting Wave Period
Go Water Depth from Bed = [g]*(Limiting Wave Period/9.78)^(1/0.5)
Limiting Wave Period
Go Limiting Wave Period = 9.78*((Water Depth from Bed/[g])^0.5)
Drag Coefficient for Wind Speed at 10m Elevation
Go Drag Coefficient = 0.001*(1.1+(0.035*Wind Speed at Height of 10 m))

Limiting Wave Period Formula

Limiting Wave Period = 9.78*((Water Depth from Bed/[g])^0.5)
Tp = 9.78*((Dw/[g])^0.5)

What is Fetch Length?

In Oceanography wind fetch, also known as fetch length or simply fetch, is the length of water over which a given wind has blown without obstruction. Fetch, area of ocean or lake surface over which the wind blows in an essentially constant direction, thus generating waves. The term also is used as a synonym for fetch length, which is the horizontal distance over which wave-generating winds blow.

How to Calculate Limiting Wave Period?

Limiting Wave Period calculator uses Limiting Wave Period = 9.78*((Water Depth from Bed/[g])^0.5) to calculate the Limiting Wave Period, The Limiting Wave Period formula is defined as the parameter of wave mechanics, consequently recommending that deepwater wave growths be used for all depths with the constraint that no wave period can grow past a limiting value. Limiting Wave Period is denoted by Tp symbol.

How to calculate Limiting Wave Period using this online calculator? To use this online calculator for Limiting Wave Period, enter Water Depth from Bed (Dw) and hit the calculate button. Here is how the Limiting Wave Period calculation can be explained with given input values -> 20.95004 = 9.78*((45/[g])^0.5).

FAQ

What is Limiting Wave Period?
The Limiting Wave Period formula is defined as the parameter of wave mechanics, consequently recommending that deepwater wave growths be used for all depths with the constraint that no wave period can grow past a limiting value and is represented as Tp = 9.78*((Dw/[g])^0.5) or Limiting Wave Period = 9.78*((Water Depth from Bed/[g])^0.5). Water depth from bed means the depth as measured from the water level to the bottom of the considered water body.
How to calculate Limiting Wave Period?
The Limiting Wave Period formula is defined as the parameter of wave mechanics, consequently recommending that deepwater wave growths be used for all depths with the constraint that no wave period can grow past a limiting value is calculated using Limiting Wave Period = 9.78*((Water Depth from Bed/[g])^0.5). To calculate Limiting Wave Period, you need Water Depth from Bed (Dw). With our tool, you need to enter the respective value for Water Depth from Bed 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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