Significant Wave Height for Free Long Waves Calculator

✖Constant for free long waves is the constant ranges from 0.0041 to 0.0066.ⓘ Constant for Free Long Waves [K]			+10% -10%
✖Significant Wave Height is defined traditionally as the mean wave height of the highest third of the waves.ⓘ Significant Wave Height [H_s]			+10% -10%
✖Design Wave Period considered [time]. The design waves are defined by the significant wave height, the peak energy period, and the wave spectrum.ⓘ Design Wave Period [T_p]			+10% -10%
✖Water depth means the depth as measured from the water level to the bottom of the considered water body.ⓘ Water Depth [D]			+10% -10%

✖Significant Wave Height for Free Waves [length] is the average height of the third of waves observed during a given period of time.ⓘ Significant Wave Height for Free Long Waves [H_sf]

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Formula

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Significant Wave Height for Free Long Waves

Formula

`"H"_{"sf"} = ("K"*"H"_{"s"}^1.11*"T"_{"p"}^1.25)/"D"^0.25`

Example

`"16.57771m"=("0.0041"*("65m")^1.11*("31s")^1.25)/("12m")^0.25`

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Significant Wave Height for Free Long Waves Solution

STEP 0: Pre-Calculation Summary

Formula Used

Significant Wave Height for Free Waves = (Constant for Free Long Waves*Significant Wave Height^1.11*Design Wave Period^1.25)/Water Depth^0.25
H_sf = (K*H_s^1.11*T_p^1.25)/D^0.25
This formula uses 5 Variables

Variables Used

Significant Wave Height for Free Waves - (Measured in Meter) - Significant Wave Height for Free Waves [length] is the average height of the third of waves observed during a given period of time.
Constant for Free Long Waves - Constant for free long waves is the constant ranges from 0.0041 to 0.0066.
Significant Wave Height - (Measured in Meter) - Significant Wave Height is defined traditionally as the mean wave height of the highest third of the waves.
Design Wave Period - (Measured in Second) - Design Wave Period considered [time]. The design waves are defined by the significant wave height, the peak energy period, and the wave spectrum.
Water Depth - (Measured in Meter) - Water depth 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

Constant for Free Long Waves: 0.0041 --> No Conversion Required
Significant Wave Height: 65 Meter --> 65 Meter No Conversion Required
Design Wave Period: 31 Second --> 31 Second No Conversion Required
Water Depth: 12 Meter --> 12 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

H_sf = (K*H_s^1.11*T_p^1.25)/D^0.25 --> (0.0041*65^1.11*31^1.25)/12^0.25

Evaluating ... ...

H_sf = 16.5777081021587

STEP 3: Convert Result to Output's Unit

16.5777081021587 Meter --> No Conversion Required

FINAL ANSWER

16.5777081021587 ≈ 16.57771 Meter <-- Significant Wave Height for Free Waves

(Calculation completed in 00.004 seconds)

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Coorg Institute of Technology (CIT), Coorg

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< 9 Return Period and Encounter Probability Calculators

Standard Deviation of Maximum Monthly Wind Speeds given Wind Speed with r-year Return Period

Go Standard Deviation of Maximum Monthly Wind Speeds = (Wind Speed with r Year Return Period-Mean Value of Maximum Monthly Wind Speeds)/(0.78*(ln(12*Return Period of Wind)-0.577))

Mean Value of Maximum Monthly Wind Speeds for Wind Speed with r-year Return Period

Go Mean Value of Maximum Monthly Wind Speeds = Wind Speed with r Year Return Period-(0.78*Standard Deviation of Maximum Monthly Wind Speeds*(ln(12*Return Period of Wind)-0.577))

Wind Speed with r-year Return Period

Go Wind Speed with r Year Return Period = Mean Value of Maximum Monthly Wind Speeds+0.78*Standard Deviation of Maximum Monthly Wind Speeds*(ln(12*Return Period of Wind)-0.577)

Significant Wave Height for Free Long Waves

Go Significant Wave Height for Free Waves = (Constant for Free Long Waves*Significant Wave Height^1.11*Design Wave Period^1.25)/Water Depth^0.25

Velocity at Surface given Volume Flow Rate Per Unit of Ocean Width

Go Velocity at the Surface = (Volume Flow Rates per unit of Ocean Width*pi*sqrt(2))/Depth of Frictional Influence

Encounter Probability

Go Encounter Probability = 1-(1-(Time Interval associated with each data point/Return Period of Wind))^(Desired Time Period)

Cumulative Probability of Design Significant Wave Height given Return Period

Go Cumulative Probability = -((Time Interval associated with each data point/Return Period of Wind)-1)

Time Interval Associated with Each Data Point given Return Period

Go Time Interval associated with each data point = Return Period of Wind*(1-Cumulative Probability)

Return Period given Cumulative Probability

Go Return Period of Wind = Time Interval associated with each data point/(1-Cumulative Probability)

Significant Wave Height for Free Long Waves Formula

Significant Wave Height for Free Waves = (Constant for Free Long Waves*Significant Wave Height^1.11*Design Wave Period^1.25)/Water Depth^0.25
H_sf = (K*H_s^1.11*T_p^1.25)/D^0.25

What is Return Period?

Extreme conditions in coastal engineering are often described in terms of return values and return periods. A Return Period, also known as a recurrence interval or repeat interval, is an average time or an estimated average time between events such as earthquakes, floods, landslides, or river discharge flows to occur.

What is Cumulative Probability?

A Cumulative Probability refers to the probability that the value of a random variable falls within a specified range. Frequently, cumulative probabilities refer to the probability that a random variable is less than or equal to a specified value.

How to Calculate Significant Wave Height for Free Long Waves?

Significant Wave Height for Free Long Waves calculator uses Significant Wave Height for Free Waves = (Constant for Free Long Waves*Significant Wave Height^1.11*Design Wave Period^1.25)/Water Depth^0.25 to calculate the Significant Wave Height for Free Waves, The Significant Wave Height for Free Long Waves formula is defined as to estimate a bound long wave Hs and empiricism to estimate a free long wave Hs including both edge waves and leaky waves. Bowers observed that bound long waves increasingly dominate free long waves as wind wave/swell Hs increases. Significant Wave Height for Free Waves is denoted by H_sf symbol.

How to calculate Significant Wave Height for Free Long Waves using this online calculator? To use this online calculator for Significant Wave Height for Free Long Waves, enter Constant for Free Long Waves (K), Significant Wave Height (H_s), Design Wave Period (T_p) & Water Depth (D) and hit the calculate button. Here is how the Significant Wave Height for Free Long Waves calculation can be explained with given input values -> 16.57771 = (0.0041*65^1.11*31^1.25)/12^0.25.

FAQ

What is Significant Wave Height for Free Long Waves?

The Significant Wave Height for Free Long Waves formula is defined as to estimate a bound long wave Hs and empiricism to estimate a free long wave Hs including both edge waves and leaky waves. Bowers observed that bound long waves increasingly dominate free long waves as wind wave/swell Hs increases and is represented as H_sf = (K*H_s^1.11*T_p^1.25)/D^0.25 or Significant Wave Height for Free Waves = (Constant for Free Long Waves*Significant Wave Height^1.11*Design Wave Period^1.25)/Water Depth^0.25. Constant for free long waves is the constant ranges from 0.0041 to 0.0066, Significant Wave Height is defined traditionally as the mean wave height of the highest third of the waves, Design Wave Period considered [time]. The design waves are defined by the significant wave height, the peak energy period, and the wave spectrum & Water depth means the depth as measured from the water level to the bottom of the considered water body.

How to calculate Significant Wave Height for Free Long Waves?

The Significant Wave Height for Free Long Waves formula is defined as to estimate a bound long wave Hs and empiricism to estimate a free long wave Hs including both edge waves and leaky waves. Bowers observed that bound long waves increasingly dominate free long waves as wind wave/swell Hs increases is calculated using Significant Wave Height for Free Waves = (Constant for Free Long Waves*Significant Wave Height^1.11*Design Wave Period^1.25)/Water Depth^0.25. To calculate Significant Wave Height for Free Long Waves, you need Constant for Free Long Waves (K), Significant Wave Height (H_s), Design Wave Period (T_p) & Water Depth (D). With our tool, you need to enter the respective value for Constant for Free Long Waves, Significant Wave Height, Design Wave Period & Water Depth 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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