Significant Wave Height 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 Height for Deep Water is the height of waves as they propagate through water depths greater than half the wave's wavelength.ⓘ Significant Wave Height from Bretschneider Empirical Relationships [H_dw]

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Significant Wave Height from Bretschneider Empirical Relationships Solution

STEP 0: Pre-Calculation Summary

Formula Used

Wave Height for Deep Water = (Wind Speed^2*0.283*tanh(0.0125*(([g]*Fetch Length)/Wind Speed^2)^0.42))/[g]
H_dw = (U^2*0.283*tanh(0.0125*(([g]*F_l)/U^2)^0.42))/[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 Height for Deep Water - (Measured in Meter) - Wave Height for Deep Water is the height of waves as they propagate through water depths greater than half the wave's wavelength.
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

H_dw = (U^2*0.283*tanh(0.0125*(([g]*F_l)/U^2)^0.42))/[g] --> (25^2*0.283*tanh(0.0125*(([g]*2)/25^2)^0.42))/[g]

Evaluating ... ...

H_dw = 0.052681269251069

STEP 3: Convert Result to Output's Unit

0.052681269251069 Meter --> No Conversion Required

FINAL ANSWER

0.052681269251069 ≈ 0.052681 Meter <-- Wave Height for Deep Water

(Calculation completed in 00.004 seconds)

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< Predicting Waves in Deep Water Calculators

Significant Wave Height from Bretschneider Empirical Relationships

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

Wave Number given Wavelength, Wave Period and Water Depth

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

Water Depth given Wavelength, Wave Period and Wave Number

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

Significant Wave Period from Bretschneider Empirical Relationships

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

Significant Wave Height from Bretschneider Empirical Relationships Formula

LaTeX Go

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

What is Wave Number?

Wave Number is the spatial frequency of a wave in a given medium, typically measured in reciprocal units of distance, such as radians per meter or cycles per meter.

What is Time period of a Wave?

The time taken for one complete oscillation in the density of the medium is called the time period of the wave. It can also be defined as the time taken by two consecutive compressions (Trough) or rarefactions (Crest) to cross a fixed point. It is represented by the symbol T.

How to Calculate Significant Wave Height from Bretschneider Empirical Relationships?

Significant Wave Height from Bretschneider Empirical Relationships calculator uses Wave Height for Deep Water = (Wind Speed^2*0.283*tanh(0.0125*(([g]*Fetch Length)/Wind Speed^2)^0.42))/[g] to calculate the Wave Height for Deep Water, The Significant Wave Height from Bretschneider Empirical Relationships formula is defined as the difference between the elevations of a crest and a neighbouring trough is a term used by mariners, as well as in coastal, ocean and naval engineering. Wave Height for Deep Water is denoted by H_dw symbol.

How to calculate Significant Wave Height from Bretschneider Empirical Relationships using this online calculator? To use this online calculator for Significant Wave Height from Bretschneider Empirical Relationships, enter Wind Speed (U) & Fetch Length (F_l) and hit the calculate button. Here is how the Significant Wave Height from Bretschneider Empirical Relationships calculation can be explained with given input values -> 0.052681 = (25^2*0.283*tanh(0.0125*(([g]*2)/25^2)^0.42))/[g].

FAQ

What is Significant Wave Height from Bretschneider Empirical Relationships?

The Significant Wave Height from Bretschneider Empirical Relationships formula is defined as the difference between the elevations of a crest and a neighbouring trough is a term used by mariners, as well as in coastal, ocean and naval engineering and is represented as H_dw = (U^2*0.283*tanh(0.0125*(([g]*F_l)/U^2)^0.42))/[g] or Wave Height for Deep Water = (Wind Speed^2*0.283*tanh(0.0125*(([g]*Fetch Length)/Wind Speed^2)^0.42))/[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 Height from Bretschneider Empirical Relationships?

The Significant Wave Height from Bretschneider Empirical Relationships formula is defined as the difference between the elevations of a crest and a neighbouring trough is a term used by mariners, as well as in coastal, ocean and naval engineering is calculated using Wave Height for Deep Water = (Wind Speed^2*0.283*tanh(0.0125*(([g]*Fetch Length)/Wind Speed^2)^0.42))/[g]. To calculate Significant Wave Height 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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