Significant Wave Period from Bretschneider Empirical Relationships Calculator

✖Wind Speed is a fundamental atmospheric quantity caused by air moving from high to low pressure, usually due to changes in temperature.ⓘ Wind Speed [U]			+10% -10%
✖Fetch Length is the unobstructed distance that wind can travel over water in a constant direction.ⓘ Fetch Length [F_l]			+10% -10%

✖Wave period is the time it takes for successive wave crests or troughs to pass a fixed point.ⓘ Significant Wave Period from Bretschneider Empirical Relationships [T]

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Significant Wave Period from Bretschneider Empirical Relationships

Formula

`"T" = ("U"*7.54*tanh(0.077*(("[g]"*"F"_{"l"})/"U"^2)^0.25))/"[g]"`

Example

`"0.622726s"=("25m/s"*7.54*tanh(0.077*(("[g]"*"2m")/("25m/s")^2)^0.25))/"[g]"`

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Significant Wave Period from Bretschneider Empirical Relationships Solution

STEP 0: Pre-Calculation Summary

Formula Used

Wave Period = (Wind Speed*7.54*tanh(0.077*(([g]*Fetch Length)/Wind Speed^2)^0.25))/[g]
T = (U*7.54*tanh(0.077*(([g]*F_l)/U^2)^0.25))/[g]
This formula uses 1 Constants, 1 Functions, 3 Variables

Constants Used

[g] - Gravitational acceleration on Earth Value Taken As 9.80665

Functions Used

tanh - The hyperbolic tangent function (tanh) is a function that is defined as the ratio of the hyperbolic sine function (sinh) to the hyperbolic cosine function (cosh)., tanh(Number)

Variables Used

Wave Period - (Measured in Second) - Wave period is the time it takes for successive wave crests or troughs to pass a fixed point.
Wind Speed - (Measured in Meter per Second) - Wind Speed is a fundamental atmospheric quantity caused by air moving from high to low pressure, usually due to changes in temperature.
Fetch Length - (Measured in Meter) - Fetch Length is the unobstructed distance that wind can travel over water in a constant direction.

STEP 1: Convert Input(s) to Base Unit

Wind Speed: 25 Meter per Second --> 25 Meter per Second No Conversion Required
Fetch Length: 2 Meter --> 2 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

T = (U*7.54*tanh(0.077*(([g]*F_l)/U^2)^0.25))/[g] --> (25*7.54*tanh(0.077*(([g]*2)/25^2)^0.25))/[g]

Evaluating ... ...

T = 0.622726083804836

STEP 3: Convert Result to Output's Unit

0.622726083804836 Second --> No Conversion Required

FINAL ANSWER

0.622726083804836 ≈ 0.622726 Second <-- Wave Period

(Calculation completed in 00.004 seconds)

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Home » Engineering » Civil » Coastal and Ocean Engineering » Wave Prediction » Predicting Waves in Deep Water » Significant Wave Period from Bretschneider Empirical Relationships

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Coorg Institute of Technology (CIT), Coorg

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< 4 Predicting Waves in Deep Water Calculators

Significant Wave Height from Bretschneider Empirical Relationships

Go Wave Height for Deep Water = (Wind Speed^2*0.283*tanh(0.0125*(([g]*Fetch Length)/Wind Speed^2)^0.42))/[g]

Water Depth given Wavelength, Wave Period and Water Number

Go Water Depth = (atanh((Wavelength*Wave Angular Frequency)/([g]*Wave Period)))/Wave Number for Water Wave

Wave Number given Wavelength, Wave Period and Water Depth

Go Wave Number for Water Wave = (atanh((Wavelength*Wave Angular Frequency)/([g]*Wave Period)))/Water Depth

Significant Wave Period from Bretschneider Empirical Relationships

Go Wave Period = (Wind Speed*7.54*tanh(0.077*(([g]*Fetch Length)/Wind Speed^2)^0.25))/[g]

Significant Wave Period from Bretschneider Empirical Relationships Formula

Wave Period = (Wind Speed*7.54*tanh(0.077*(([g]*Fetch Length)/Wind Speed^2)^0.25))/[g]
T = (U*7.54*tanh(0.077*(([g]*F_l)/U^2)^0.25))/[g]

What is Fetch?

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

How to Calculate Significant Wave Period from Bretschneider Empirical Relationships?

Significant Wave Period from Bretschneider Empirical Relationships calculator uses Wave Period = (Wind Speed*7.54*tanh(0.077*(([g]*Fetch Length)/Wind Speed^2)^0.25))/[g] to calculate the Wave Period, The Significant Wave Period from Bretschneider Empirical Relationships is defined as the distance between two waves passing through a stationary point, measured in seconds. Wave Period is denoted by T symbol.

How to calculate Significant Wave Period from Bretschneider Empirical Relationships using this online calculator? To use this online calculator for Significant Wave Period from Bretschneider Empirical Relationships, enter Wind Speed (U) & Fetch Length (F_l) and hit the calculate button. Here is how the Significant Wave Period from Bretschneider Empirical Relationships calculation can be explained with given input values -> 0.622726 = (25*7.54*tanh(0.077*(([g]*2)/25^2)^0.25))/[g].

FAQ

What is Significant Wave Period from Bretschneider Empirical Relationships?

The Significant Wave Period from Bretschneider Empirical Relationships is defined as the distance between two waves passing through a stationary point, measured in seconds and is represented as T = (U*7.54*tanh(0.077*(([g]*F_l)/U^2)^0.25))/[g] or Wave Period = (Wind Speed*7.54*tanh(0.077*(([g]*Fetch Length)/Wind Speed^2)^0.25))/[g]. Wind Speed is a fundamental atmospheric quantity caused by air moving from high to low pressure, usually due to changes in temperature & Fetch Length is the unobstructed distance that wind can travel over water in a constant direction.

How to calculate Significant Wave Period from Bretschneider Empirical Relationships?

The Significant Wave Period from Bretschneider Empirical Relationships is defined as the distance between two waves passing through a stationary point, measured in seconds is calculated using Wave Period = (Wind Speed*7.54*tanh(0.077*(([g]*Fetch Length)/Wind Speed^2)^0.25))/[g]. To calculate Significant Wave Period from Bretschneider Empirical Relationships, you need Wind Speed (U) & Fetch Length (F_l). With our tool, you need to enter the respective value for Wind Speed & Fetch Length 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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