Dimensionless Fetch Solution

STEP 0: Pre-Calculation Summary
Formula Used
Dimensionless Fetch = ([g]*Straight Line Distance over which Wind Blows/Friction Velocity^2)
X' = ([g]*X/Vf^2)
This formula uses 1 Constants, 3 Variables
Constants Used
[g] - Gravitational acceleration on Earth Value Taken As 9.80665
Variables Used
Dimensionless Fetch - Dimensionless Fetch for the empirical prediction methods is the distance over water that the wind blows in a single direction.
Straight Line Distance over which Wind Blows - (Measured in Meter) - Straight Line Distance over which Wind Blows is defined as total stretch of wind motion in a straight line influencing other parameters of the wave.
Friction Velocity - (Measured in Meter per Second) - Friction velocity, also called Shear velocity, is a form by which a shear stress may be re-written in units of velocity.
STEP 1: Convert Input(s) to Base Unit
Straight Line Distance over which Wind Blows: 15 Meter --> 15 Meter No Conversion Required
Friction Velocity: 6 Meter per Second --> 6 Meter per Second No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
X' = ([g]*X/Vf^2) --> ([g]*15/6^2)
Evaluating ... ...
X' = 4.08610416666667
STEP 3: Convert Result to Output's Unit
4.08610416666667 --> No Conversion Required
FINAL ANSWER
4.08610416666667 4.086104 <-- Dimensionless Fetch
(Calculation completed in 00.004 seconds)

Credits

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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

Dimensionless Fetch Formula

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

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?

Dimensionless Fetch calculator uses Dimensionless Fetch = ([g]*Straight Line Distance over which Wind Blows/Friction Velocity^2) to calculate the Dimensionless Fetch, The Dimensionless Fetch 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 using this online calculator? To use this online calculator for Dimensionless Fetch, enter Straight Line Distance over which Wind Blows (X) & Friction Velocity (Vf) and hit the calculate button. Here is how the Dimensionless Fetch calculation can be explained with given input values -> 4.086104 = ([g]*15/6^2).

FAQ

What is Dimensionless Fetch?
The Dimensionless Fetch 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' = ([g]*X/Vf^2) or Dimensionless Fetch = ([g]*Straight Line Distance over which Wind Blows/Friction Velocity^2). Straight Line Distance over which Wind Blows is defined as total stretch of wind motion in a straight line influencing other parameters of the wave & Friction velocity, also called Shear velocity, is a form by which a shear stress may be re-written in units of velocity.
How to calculate Dimensionless Fetch?
The Dimensionless Fetch 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 = ([g]*Straight Line Distance over which Wind Blows/Friction Velocity^2). To calculate Dimensionless Fetch, you need Straight Line Distance over which Wind Blows (X) & Friction Velocity (Vf). With our tool, you need to enter the respective value for Straight Line Distance over which Wind Blows & Friction Velocity 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 Straight Line Distance over which Wind Blows & Friction Velocity. We can use 1 other way(s) to calculate the same, which is/are as follows -
  • Dimensionless Fetch = (Dimensionless Wave Height/Dimensionless Constant)^(1/Dimensionless Exponent)
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