Dimensionless Wave Height Solution

STEP 0: Pre-Calculation Summary
Formula Used
Dimensionless Wave Height = ([g]*Characteristic Wave Height)/Friction Velocity^2
H' = ([g]*H)/Vf^2
This formula uses 1 Constants, 3 Variables
Constants Used
[g] - Gravitational acceleration on Earth Value Taken As 9.80665
Variables Used
Dimensionless Wave Height - Dimensionless Wave Height is denoted by H' symbol.
Characteristic Wave Height - (Measured in Meter) - Characteristic wave height is originally taken as the significant wave height but more recently taken as the energy-based wave height.
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
Characteristic Wave Height: 110 Meter --> 110 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
H' = ([g]*H)/Vf^2 --> ([g]*110)/6^2
Evaluating ... ...
H' = 29.9647638888889
STEP 3: Convert Result to Output's Unit
29.9647638888889 --> No Conversion Required
FINAL ANSWER
29.9647638888889 29.96476 <-- Dimensionless Wave Height
(Calculation completed in 00.004 seconds)

Credits

Created by Mithila Muthamma PA
Coorg Institute of Technology (CIT), Coorg
Mithila Muthamma PA has created this Calculator and 2000+ more calculators!
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NSS College of Engineering (NSSCE), Palakkad
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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 Wave Height Formula

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

Dimensionless Wave Height calculator uses Dimensionless Wave Height = ([g]*Characteristic Wave Height)/Friction Velocity^2 to calculate the Dimensionless Wave Height, The Dimensionless Wave Height formula is defined as a statistical sense of wave height that will remain constant through time but will vary along fetch. Dimensionless Wave Height is denoted by H' symbol.

How to calculate Dimensionless Wave Height using this online calculator? To use this online calculator for Dimensionless Wave Height, enter Characteristic Wave Height (H) & Friction Velocity (Vf) and hit the calculate button. Here is how the Dimensionless Wave Height calculation can be explained with given input values -> 29.96476 = ([g]*110)/6^2.

FAQ

What is Dimensionless Wave Height?
The Dimensionless Wave Height formula is defined as a statistical sense of wave height that will remain constant through time but will vary along fetch and is represented as H' = ([g]*H)/Vf^2 or Dimensionless Wave Height = ([g]*Characteristic Wave Height)/Friction Velocity^2. Characteristic wave height is originally taken as the significant wave height but more recently taken as the energy-based wave height & 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 Wave Height?
The Dimensionless Wave Height formula is defined as a statistical sense of wave height that will remain constant through time but will vary along fetch is calculated using Dimensionless Wave Height = ([g]*Characteristic Wave Height)/Friction Velocity^2. To calculate Dimensionless Wave Height, you need Characteristic Wave Height (H) & Friction Velocity (Vf). With our tool, you need to enter the respective value for Characteristic Wave Height & 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 Wave Height?
In this formula, Dimensionless Wave Height uses Characteristic Wave Height & Friction Velocity. We can use 1 other way(s) to calculate the same, which is/are as follows -
  • Dimensionless Wave Height = Dimensionless Constant*(Dimensionless Fetch^Dimensionless Exponent)
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