Dimensionless Fetch given Fetch-limited Dimensionless Wave Height Calculator

✖Dimensionless Wave Height is denoted by H' symbol.ⓘ Dimensionless Wave Height [H']			+10% -10%
✖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%
✖Dimensionless Exponent for empirical prediction method.ⓘ Dimensionless Exponent [m1]			+10% -10%

✖Dimensionless Fetch for the empirical prediction methods is the distance over water that the wind blows in a single direction.ⓘ Dimensionless Fetch given Fetch-limited Dimensionless Wave Height [X']

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Formula

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Dimensionless Fetch given Fetch-limited Dimensionless Wave Height

Formula

`"X'" = ("H'"/"λ")^(1/"m1")`

Example

`"4.330127"=("30"/"1.6")^(1/"2")`

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Dimensionless Fetch given Fetch-limited Dimensionless Wave Height Solution

STEP 0: Pre-Calculation Summary

Formula Used

Dimensionless Fetch = (Dimensionless Wave Height/Dimensionless Constant)^(1/Dimensionless Exponent)
X' = (H'/λ)^(1/m1)
This formula uses 4 Variables

Variables Used

Dimensionless Fetch - Dimensionless Fetch for the empirical prediction methods is the distance over water that the wind blows in a single direction.
Dimensionless Wave Height - Dimensionless Wave Height is denoted by H' symbol.
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.
Dimensionless Exponent - Dimensionless Exponent for empirical prediction method.

STEP 1: Convert Input(s) to Base Unit

Dimensionless Wave Height: 30 --> No Conversion Required
Dimensionless Constant: 1.6 --> No Conversion Required
Dimensionless Exponent: 2 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

X' = (H'/λ)^(1/m1) --> (30/1.6)^(1/2)

Evaluating ... ...

X' = 4.33012701892219

STEP 3: Convert Result to Output's Unit

4.33012701892219 --> No Conversion Required

FINAL ANSWER

4.33012701892219 ≈ 4.330127 <-- Dimensionless Fetch

(Calculation completed in 00.004 seconds)

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Home » Engineering » Civil » Coastal and Ocean Engineering » Estimating Marine and Coastal Winds » Measured Wind Directions » Dimensionless Fetch given Fetch-limited Dimensionless Wave Height

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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

Dimensionless Fetch given Fetch-limited Dimensionless Wave Height Formula

Dimensionless Fetch = (Dimensionless Wave Height/Dimensionless Constant)^(1/Dimensionless Exponent)
X' = (H'/λ)^(1/m1)

What is Geostrophic wind?

The Geostrophic flow is the theoretical wind that would result from an exact balance between the Coriolis force and the pressure gradient force. This condition is called geostrophic equilibrium or geostrophic balance. The geostrophic wind is directed parallel to isobars.

How to Calculate Dimensionless Fetch given Fetch-limited Dimensionless Wave Height?

Dimensionless Fetch given Fetch-limited Dimensionless Wave Height calculator uses Dimensionless Fetch = (Dimensionless Wave Height/Dimensionless Constant)^(1/Dimensionless Exponent) to calculate the Dimensionless Fetch, The Dimensionless Fetch given Fetch-limited Dimensionless Wave Height formula is defined as the basic tenet of the empirical prediction method and interrelationship with other wave parameters governed by Universal Laws. Dimensionless Fetch is denoted by X' symbol.

How to calculate Dimensionless Fetch given Fetch-limited Dimensionless Wave Height using this online calculator? To use this online calculator for Dimensionless Fetch given Fetch-limited Dimensionless Wave Height, enter Dimensionless Wave Height (H'), Dimensionless Constant (λ) & Dimensionless Exponent (m1) and hit the calculate button. Here is how the Dimensionless Fetch given Fetch-limited Dimensionless Wave Height calculation can be explained with given input values -> 4.330127 = (30/1.6)^(1/2).

FAQ

What is Dimensionless Fetch given Fetch-limited Dimensionless Wave Height?

The Dimensionless Fetch given Fetch-limited Dimensionless Wave Height formula is defined as the basic tenet of the empirical prediction method and interrelationship with other wave parameters governed by Universal Laws and is represented as X' = (H'/λ)^(1/m1) or Dimensionless Fetch = (Dimensionless Wave Height/Dimensionless Constant)^(1/Dimensionless Exponent). Dimensionless Wave Height is denoted by H' symbol, 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 Exponent for empirical prediction method.

How to calculate Dimensionless Fetch given Fetch-limited Dimensionless Wave Height?

The Dimensionless Fetch given Fetch-limited Dimensionless Wave Height formula is defined as the basic tenet of the empirical prediction method and interrelationship with other wave parameters governed by Universal Laws is calculated using Dimensionless Fetch = (Dimensionless Wave Height/Dimensionless Constant)^(1/Dimensionless Exponent). To calculate Dimensionless Fetch given Fetch-limited Dimensionless Wave Height, you need Dimensionless Wave Height (H'), Dimensionless Constant (λ) & Dimensionless Exponent (m1). With our tool, you need to enter the respective value for Dimensionless Wave Height, Dimensionless Constant & Dimensionless Exponent and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Dimensionless Fetch?

In this formula, Dimensionless Fetch uses Dimensionless Wave Height, Dimensionless Constant & Dimensionless Exponent. We can use 1 other way(s) to calculate the same, which is/are as follows -

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

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