Relative Height of Highest wave as function of Wavelength obtained by Fenton Solution

STEP 0: Pre-Calculation Summary
Formula Used
Relative Height as a function of Wavelength = (0.141063*(Deep-Water Wavelength/Mean Depth)+0.0095721*(Deep-Water Wavelength/Mean Depth)^2+0.0077829*(Deep-Water Wavelength/Mean Depth)^3)/(1+0.078834*(Deep-Water Wavelength/Mean Depth)+0.0317567*(Deep-Water Wavelength/Mean Depth)^2+0.0093407*(Deep-Water Wavelength/Mean Depth)^3)
Hmd = (0.141063*(λo/d)+0.0095721*(λo/d)^2+0.0077829*(λo/d)^3)/(1+0.078834*(λo/d)+0.0317567*(λo/d)^2+0.0093407*(λo/d)^3)
This formula uses 3 Variables
Variables Used
Relative Height as a function of Wavelength - The Relative Height as a function of Wavelength in a wave system is inversely proportional to its wavelength, expressing the reciprocal relationship between wave height and wavelength.
Deep-Water Wavelength - (Measured in Meter) - Deep-Water Wavelength, deep water waves are defined as those occurring in ocean depths greater than twice the wavelength of the wave.
Mean Depth - (Measured in Meter) - Mean Depth for Steady two-dimensional waves.
STEP 1: Convert Input(s) to Base Unit
Deep-Water Wavelength: 7 Meter --> 7 Meter No Conversion Required
Mean Depth: 10 Meter --> 10 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Hmd = (0.141063*(λo/d)+0.0095721*(λo/d)^2+0.0077829*(λo/d)^3)/(1+0.078834*(λo/d)+0.0317567*(λo/d)^2+0.0093407*(λo/d)^3) --> (0.141063*(7/10)+0.0095721*(7/10)^2+0.0077829*(7/10)^3)/(1+0.078834*(7/10)+0.0317567*(7/10)^2+0.0093407*(7/10)^3)
Evaluating ... ...
Hmd = 0.0987980050454994
STEP 3: Convert Result to Output's Unit
0.0987980050454994 --> No Conversion Required
FINAL ANSWER
0.0987980050454994 0.098798 <-- Relative Height as a function of Wavelength
(Calculation completed in 00.004 seconds)

Credits

Created by Mithila Muthamma PA
Coorg Institute of Technology (CIT), Coorg
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National Institute of Technology (NIT), Warangal
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14 Non-Linear Wave Theory Calculators

Relative Height of Highest wave as function of Wavelength obtained by Fenton
Go Relative Height as a function of Wavelength = (0.141063*(Deep-Water Wavelength/Mean Depth)+0.0095721*(Deep-Water Wavelength/Mean Depth)^2+0.0077829*(Deep-Water Wavelength/Mean Depth)^3)/(1+0.078834*(Deep-Water Wavelength/Mean Depth)+0.0317567*(Deep-Water Wavelength/Mean Depth)^2+0.0093407*(Deep-Water Wavelength/Mean Depth)^3)
Mean depth given Ursell number
Go Mean Depth = ((Wave Height for Surface Gravity Waves*Deep-Water Wavelength^2)/Ursell Number)^(1/3)
Wavelength given Ursell number
Go Deep-Water Wavelength = ((Ursell Number*Mean Depth^3)/Wave Height for Surface Gravity Waves)^0.5
Wave height given Ursell number
Go Wave Height for Surface Gravity Waves = (Ursell Number*Mean Depth^3)/Deep-Water Wavelength^2
Ursell Number
Go Ursell Number = (Wave Height for Surface Gravity Waves*Deep-Water Wavelength^2)/Mean Depth^3
Volume Flow Rate per unit Span Underneath Waves given Second Type of Mean Fluid Speed
Go Rate of Volume Flow = Mean Depth*(Fluid Stream Velocity-Mean Horizontal Fluid Velocity)
Wave Speed given Second First Type of Mean Fluid Speed
Go Fluid Stream Velocity = Mean Horizontal Fluid Velocity+(Rate of Volume Flow/Mean Depth)
Mean Depth given Second Type of Mean Fluid Speed
Go Mean Depth = Rate of Volume Flow/(Fluid Stream Velocity-Mean Horizontal Fluid Velocity)
Second Type of Mean Fluid Speed
Go Mean Horizontal Fluid Velocity = Fluid Stream Velocity-(Rate of Volume Flow/Mean Depth)
Wave Speed given First Type of Mean Fluid Speed
Go Wave Speed = Fluid Stream Velocity-Mean Horizontal Fluid Velocity
First Type of Mean Fluid Speed
Go Mean Horizontal Fluid Velocity = Fluid Stream Velocity-Wave Speed
Volume Flow Rate in Stokes' Second Approximation to Wave Speed if there is no Mass Transport
Go Rate of Volume Flow = Wave Speed*Mean Depth
Mean Depth in Stokes' Second Approximation to Wave Speed if there is no Mass Transport
Go Mean Depth = Rate of Volume Flow/Wave Speed
Stokes' Second Approximation to Wave Speed if there is no Mass Transport
Go Wave Speed = Rate of Volume Flow/Mean Depth

Relative Height of Highest wave as function of Wavelength obtained by Fenton Formula

Relative Height as a function of Wavelength = (0.141063*(Deep-Water Wavelength/Mean Depth)+0.0095721*(Deep-Water Wavelength/Mean Depth)^2+0.0077829*(Deep-Water Wavelength/Mean Depth)^3)/(1+0.078834*(Deep-Water Wavelength/Mean Depth)+0.0317567*(Deep-Water Wavelength/Mean Depth)^2+0.0093407*(Deep-Water Wavelength/Mean Depth)^3)
Hmd = (0.141063*(λo/d)+0.0095721*(λo/d)^2+0.0077829*(λo/d)^3)/(1+0.078834*(λo/d)+0.0317567*(λo/d)^2+0.0093407*(λo/d)^3)

What are the main theories for Steady Waves ?

There are two main theories for steady waves – Stokes theory, most suitable for waves which are not very long relative to the water depth; and Cnoidal theory, suitable for the other limit where the waves are much longer than the depth. In addition there is one important numerical method – the Fourier approximation method which solves the problem accurately, and is now widely used in ocean and coastal engineering.

How to Calculate Relative Height of Highest wave as function of Wavelength obtained by Fenton?

Relative Height of Highest wave as function of Wavelength obtained by Fenton calculator uses Relative Height as a function of Wavelength = (0.141063*(Deep-Water Wavelength/Mean Depth)+0.0095721*(Deep-Water Wavelength/Mean Depth)^2+0.0077829*(Deep-Water Wavelength/Mean Depth)^3)/(1+0.078834*(Deep-Water Wavelength/Mean Depth)+0.0317567*(Deep-Water Wavelength/Mean Depth)^2+0.0093407*(Deep-Water Wavelength/Mean Depth)^3) to calculate the Relative Height as a function of Wavelength, The Relative Height of Highest wave as function of Wavelength obtained by Fenton is an empirical expression for the relative height of the highest wave Hm/d as a function of wavelength obtained by Fenton (1990). Relative Height as a function of Wavelength is denoted by Hmd symbol.

How to calculate Relative Height of Highest wave as function of Wavelength obtained by Fenton using this online calculator? To use this online calculator for Relative Height of Highest wave as function of Wavelength obtained by Fenton, enter Deep-Water Wavelength o) & Mean Depth (d) and hit the calculate button. Here is how the Relative Height of Highest wave as function of Wavelength obtained by Fenton calculation can be explained with given input values -> 0.098798 = (0.141063*(7/10)+0.0095721*(7/10)^2+0.0077829*(7/10)^3)/(1+0.078834*(7/10)+0.0317567*(7/10)^2+0.0093407*(7/10)^3).

FAQ

What is Relative Height of Highest wave as function of Wavelength obtained by Fenton?
The Relative Height of Highest wave as function of Wavelength obtained by Fenton is an empirical expression for the relative height of the highest wave Hm/d as a function of wavelength obtained by Fenton (1990) and is represented as Hmd = (0.141063*(λo/d)+0.0095721*(λo/d)^2+0.0077829*(λo/d)^3)/(1+0.078834*(λo/d)+0.0317567*(λo/d)^2+0.0093407*(λo/d)^3) or Relative Height as a function of Wavelength = (0.141063*(Deep-Water Wavelength/Mean Depth)+0.0095721*(Deep-Water Wavelength/Mean Depth)^2+0.0077829*(Deep-Water Wavelength/Mean Depth)^3)/(1+0.078834*(Deep-Water Wavelength/Mean Depth)+0.0317567*(Deep-Water Wavelength/Mean Depth)^2+0.0093407*(Deep-Water Wavelength/Mean Depth)^3). Deep-Water Wavelength, deep water waves are defined as those occurring in ocean depths greater than twice the wavelength of the wave & Mean Depth for Steady two-dimensional waves.
How to calculate Relative Height of Highest wave as function of Wavelength obtained by Fenton?
The Relative Height of Highest wave as function of Wavelength obtained by Fenton is an empirical expression for the relative height of the highest wave Hm/d as a function of wavelength obtained by Fenton (1990) is calculated using Relative Height as a function of Wavelength = (0.141063*(Deep-Water Wavelength/Mean Depth)+0.0095721*(Deep-Water Wavelength/Mean Depth)^2+0.0077829*(Deep-Water Wavelength/Mean Depth)^3)/(1+0.078834*(Deep-Water Wavelength/Mean Depth)+0.0317567*(Deep-Water Wavelength/Mean Depth)^2+0.0093407*(Deep-Water Wavelength/Mean Depth)^3). To calculate Relative Height of Highest wave as function of Wavelength obtained by Fenton, you need Deep-Water Wavelength o) & Mean Depth (d). With our tool, you need to enter the respective value for Deep-Water Wavelength & Mean Depth 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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