Fully Developed Wave Height Calculator

✖Dimensionless Constant are numbers having no units attached and having a numerical value that is independent of whatever system of units may be used.ⓘ Dimensionless Constant [λ]			+10% -10%
✖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%

✖Fully Developed Wave Height evolved under the action of wind.ⓘ Fully Developed Wave Height [H_∞]

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Formula

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Fully Developed Wave Height

Formula

`"H"_{"∞"} = ("λ"*"U"^2)/"[g]"`

Example

`"2.610474m"=("1.6"*("4m/s")^2)/"[g]"`

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Download Estimating Marine and Coastal Winds Formulas PDF

Fully Developed Wave Height Solution

STEP 0: Pre-Calculation Summary

Formula Used

Fully Developed Wave Height = (Dimensionless Constant*Wind Speed^2)/[g]
H_∞ = (λ*U^2)/[g]
This formula uses 1 Constants, 3 Variables

Constants Used

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

Variables Used

Fully Developed Wave Height - (Measured in Meter) - Fully Developed Wave Height evolved under the action of wind.
Dimensionless Constant - Dimensionless Constant are numbers having no units attached and having a numerical value that is independent of whatever system of units may be used.
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.

STEP 1: Convert Input(s) to Base Unit

Dimensionless Constant: 1.6 --> No Conversion Required
Wind Speed: 4 Meter per Second --> 4 Meter per Second No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

H_∞ = (λ*U^2)/[g] --> (1.6*4^2)/[g]

Evaluating ... ...

H_∞ = 2.6104735052235

STEP 3: Convert Result to Output's Unit

2.6104735052235 Meter --> No Conversion Required

FINAL ANSWER

2.6104735052235 ≈ 2.610474 Meter <-- Fully Developed Wave Height

(Calculation completed in 00.004 seconds)

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Created by Mithila Muthamma PA

Coorg Institute of Technology (CIT), Coorg

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< 19 Measured Wind Directions Calculators

Cyclostrophic Approximation to Wind Speed

Go Cyclostrophic Approximation to Wind Speed = (Scaling Parameter*Parameter Controlling Peakedness*(Ambient Pressure at Periphery of Storm-Central Pressure in Storm)*exp(-Scaling Parameter/Arbitrary Radius^Parameter Controlling Peakedness)/(Density of Air*Arbitrary Radius^Parameter Controlling Peakedness))^0.5

Ambient Pressure at Periphery of Storm

Go Ambient Pressure at Periphery of Storm = ((Pressure at Radius-Central Pressure in Storm)/exp(-Scaling Parameter/Arbitrary Radius^Parameter Controlling Peakedness))+Central Pressure in Storm

Pressure Profile in Hurricane Winds

Go Pressure at Radius = Central Pressure in Storm+(Ambient Pressure at Periphery of Storm-Central Pressure in Storm)*exp(-Scaling Parameter/Arbitrary Radius^Parameter Controlling Peakedness)

Maximum Velocity in Storm

Go Maximum Velocity of Wind = (Parameter Controlling Peakedness/Density of Air*e)^0.5*(Ambient Pressure at Periphery of Storm-Central Pressure in Storm)^0.5

Friction Velocity given Dimensionless Fetch

Go Friction Velocity = sqrt([g]*Straight Line Distance over which Wind Blows/Dimensionless Fetch)

Friction Velocity given Dimensionless Wave Height

Go Friction Velocity = sqrt(([g]*Characteristic Wave Height)/Dimensionless Wave Height)

Wind Speed given Fully Developed Wave Height

Go Wind Speed = sqrt(Fully Developed Wave Height*[g]/Dimensionless Constant)

Dimensionless Fetch given Fetch-limited Dimensionless Wave Height

Go Dimensionless Fetch = (Dimensionless Wave Height/Dimensionless Constant)^(1/Dimensionless Exponent)

Fetch-Limited Dimensionless Wave Height

Go Dimensionless Wave Height = Dimensionless Constant*(Dimensionless Fetch^Dimensionless Exponent)

Dimensionless Fetch

Go Dimensionless Fetch = ([g]*Straight Line Distance over which Wind Blows/Friction Velocity^2)

Frequency of Spectral Peak for Dimensionless Wave Frequency

Go Frequency at Spectral Peak = (Dimensionless Wave Frequency*[g])/Friction Velocity

Friction Velocity for Dimensionless Wave Frequency

Go Friction Velocity = (Dimensionless Wave Frequency*[g])/Frequency at Spectral Peak

Dimensionless Wave Frequency

Go Dimensionless Wave Frequency = (Friction Velocity*Frequency at Spectral Peak)/[g]

Characteristic Wave Height given Dimensionless Wave Height

Go Characteristic Wave Height = (Dimensionless Wave Height*Friction Velocity^2)/[g]

Dimensionless Wave Height

Go Dimensionless Wave Height = ([g]*Characteristic Wave Height)/Friction Velocity^2

Fully Developed Wave Height

Go Fully Developed Wave Height = (Dimensionless Constant*Wind Speed^2)/[g]

Distance from Center of Storm Circulation to Location of Maximum Wind Speed

Go Distance from Center of Storm Circulation = Scaling Parameter^(1/Parameter Controlling Peakedness)

Direction in Standard Meteorological Terms

Go Direction in Standard Meteorological Terms = 270-Direction in Cartesian Coordinate system

Direction in Cartesian Coordinate System

Go Direction in Cartesian Coordinate system = 270-Direction in Standard Meteorological Terms

Fully Developed Wave Height Formula

Fully Developed Wave Height = (Dimensionless Constant*Wind Speed^2)/[g]
H_∞ = (λ*U^2)/[g]

What is Wave Height?

In fluid dynamics, the wave height of a surface wave is the difference between the elevations of a crest and a neighbouring trough. Wave height is a term used by mariners, as well as in coastal, ocean and naval engineering.

How to Calculate Fully Developed Wave Height?

Fully Developed Wave Height calculator uses Fully Developed Wave Height = (Dimensionless Constant*Wind Speed^2)/[g] to calculate the Fully Developed Wave Height, The Fully Developed Wave Height formula is defined as an evolved under the action of wind that is usually taken as representing an upper limit to wave growth for any wind speed. Fully Developed Wave Height is denoted by H_∞ symbol.

How to calculate Fully Developed Wave Height using this online calculator? To use this online calculator for Fully Developed Wave Height, enter Dimensionless Constant (λ) & Wind Speed (U) and hit the calculate button. Here is how the Fully Developed Wave Height calculation can be explained with given input values -> 2.610474 = (1.6*4^2)/[g].

FAQ

What is Fully Developed Wave Height?

The Fully Developed Wave Height formula is defined as an evolved under the action of wind that is usually taken as representing an upper limit to wave growth for any wind speed and is represented as H_∞ = (λ*U^2)/[g] or Fully Developed Wave Height = (Dimensionless Constant*Wind Speed^2)/[g]. Dimensionless Constant are numbers having no units attached and having a numerical value that is independent of whatever system of units may be used & Wind Speed is a fundamental atmospheric quantity caused by air moving from high to low pressure, usually due to changes in temperature.

How to calculate Fully Developed Wave Height?

The Fully Developed Wave Height formula is defined as an evolved under the action of wind that is usually taken as representing an upper limit to wave growth for any wind speed is calculated using Fully Developed Wave Height = (Dimensionless Constant*Wind Speed^2)/[g]. To calculate Fully Developed Wave Height, you need Dimensionless Constant (λ) & Wind Speed (U). With our tool, you need to enter the respective value for Dimensionless Constant & Wind Speed 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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