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Relative Height of Highest Wave as Function of Wavelength Obtained by Fenton Formula

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Relative Height as a function of Wavelength refers to the ratio of wave height to wavelength. Check FAQs

Hmd = \frac{0.141063 \cdot (\frac{λ o}{d}) + 0.0095721 \cdot {(\frac{λ o}{d})}^{2} + 0.0077829 \cdot {(\frac{λ o}{d})}^{3}}{1 + 0.078834 \cdot (\frac{λ o}{d}) + 0.0317567 \cdot {(\frac{λ o}{d})}^{2} + 0.0093407 \cdot {(\frac{λ o}{d})}^{3}}

Hmd - Relative Height as a function of Wavelength?λ_o - Deep-Water Wavelength?d - Coastal Mean Depth?

Relative Height of Highest Wave as Function of Wavelength Obtained by Fenton Example

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Here is how the Relative Height of Highest Wave as Function of Wavelength Obtained by Fenton equation looks like with Values.

Here is how the Relative Height of Highest Wave as Function of Wavelength Obtained by Fenton equation looks like with Units.

Here is how the Relative Height of Highest Wave as Function of Wavelength Obtained by Fenton equation looks like.

0.0988 = \frac{0.141063 \cdot (\frac{7}{10}) + 0.0095721 \cdot {(\frac{7}{10})}^{2} + 0.0077829 \cdot {(\frac{7}{10})}^{3}}{1 + 0.078834 \cdot (\frac{7}{10}) + 0.0317567 \cdot {(\frac{7}{10})}^{2} + 0.0093407 \cdot {(\frac{7}{10})}^{3}}

0.0988 = \frac{0.141063 \cdot (\frac{7m}{10m}) + 0.0095721 \cdot {(\frac{7m}{10m})}^{2} + 0.0077829 \cdot {(\frac{7m}{10m})}^{3}}{1 + 0.078834 \cdot (\frac{7m}{10m}) + 0.0317567 \cdot {(\frac{7m}{10m})}^{2} + 0.0093407 \cdot {(\frac{7m}{10m})}^{3}}

0.0988 = \frac{0.141063 \cdot (\frac{7}{10}) + 0.0095721 \cdot {(\frac{7}{10})}^{2} + 0.0077829 \cdot {(\frac{7}{10})}^{3}}{1 + 0.078834 \cdot (\frac{7}{10}) + 0.0317567 \cdot {(\frac{7}{10})}^{2} + 0.0093407 \cdot {(\frac{7}{10})}^{3}}

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Relative Height of Highest Wave as Function of Wavelength Obtained by Fenton Solution

Follow our step by step solution on how to calculate Relative Height of Highest Wave as Function of Wavelength Obtained by Fenton?

FIRST Step Consider the formula

Hmd = \frac{0.141063 \cdot (\frac{λ o}{d}) + 0.0095721 \cdot {(\frac{λ o}{d})}^{2} + 0.0077829 \cdot {(\frac{λ o}{d})}^{3}}{1 + 0.078834 \cdot (\frac{λ o}{d}) + 0.0317567 \cdot {(\frac{λ o}{d})}^{2} + 0.0093407 \cdot {(\frac{λ o}{d})}^{3}}

Next Step Substitute values of Variables

∴

Hmd = \frac{0.141063 \cdot (\frac{7m}{10m}) + 0.0095721 \cdot {(\frac{7m}{10m})}^{2} + 0.0077829 \cdot {(\frac{7m}{10m})}^{3}}{1 + 0.078834 \cdot (\frac{7m}{10m}) + 0.0317567 \cdot {(\frac{7m}{10m})}^{2} + 0.0093407 \cdot {(\frac{7m}{10m})}^{3}}

Next Step Prepare to Evaluate

∴

Hmd = \frac{0.141063 \cdot (\frac{7}{10}) + 0.0095721 \cdot {(\frac{7}{10})}^{2} + 0.0077829 \cdot {(\frac{7}{10})}^{3}}{1 + 0.078834 \cdot (\frac{7}{10}) + 0.0317567 \cdot {(\frac{7}{10})}^{2} + 0.0093407 \cdot {(\frac{7}{10})}^{3}}

Next Step Evaluate

∴

Hmd = 0.0987980050454994

LAST Step Rounding Answer

∴

Hmd = 0.0988

Relative Height of Highest Wave as Function of Wavelength Obtained by Fenton Formula Elements

Variables

Relative Height as a function of Wavelength

Relative Height as a function of Wavelength refers to the ratio of wave height to wavelength.

Symbol: Hmd

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Relative Height as a function of Wavelength

Deep-Water Wavelength

Deep-Water Wavelength is the horizontal distance between two successive crests (or troughs) of the wave.

Symbol: λ_o

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Deep-Water Wavelength

Coastal Mean Depth

Coastal Mean Depth of a fluid flow is a measure of the average depth of the fluid in a channel, pipe, or other conduit through which the fluid is flowing.

Symbol: d

Measurement: LengthUnit: m

Note: Value can be positive or negative.

Formulas to find Coastal Mean Depth

Other formulas in Non Linear Wave Theory category

Go Wave Height given Ursell Number

H w = \frac{U \cdot d^{3}}{{λ o}^{2}}

Go First Type of Mean Fluid Speed

U h = C f - v

Go Second Type of Mean Fluid Speed

U h = C f - (\frac{V rate}{d})

Go Wave Speed given First Type of Mean Fluid Speed

v = C f - U h

How to Evaluate Relative Height of Highest Wave as Function of Wavelength Obtained by Fenton?

Relative Height of Highest Wave as Function of Wavelength Obtained by Fenton evaluator uses Relative Height as a function of Wavelength = (0.141063*(Deep-Water Wavelength/Coastal Mean Depth)+0.0095721*(Deep-Water Wavelength/Coastal Mean Depth)^2+0.0077829*(Deep-Water Wavelength/Coastal Mean Depth)^3)/(1+0.078834*(Deep-Water Wavelength/Coastal Mean Depth)+0.0317567*(Deep-Water Wavelength/Coastal Mean Depth)^2+0.0093407*(Deep-Water Wavelength/Coastal Mean Depth)^3) to evaluate the Relative Height as a function of Wavelength, The Relative Height of Highest Wave as Function of Wavelength Obtained by Fenton is defined as 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 evaluate Relative Height of Highest Wave as Function of Wavelength Obtained by Fenton using this online evaluator? To use this online evaluator for Relative Height of Highest Wave as Function of Wavelength Obtained by Fenton, enter Deep-Water Wavelength (λ_o) & Coastal Mean Depth (d) and hit the calculate button.

FAQs on Relative Height of Highest Wave as Function of Wavelength Obtained by Fenton

What is the formula to find Relative Height of Highest Wave as Function of Wavelength Obtained by Fenton?

The formula of Relative Height of Highest Wave as Function of Wavelength Obtained by Fenton is expressed as Relative Height as a function of Wavelength = (0.141063*(Deep-Water Wavelength/Coastal Mean Depth)+0.0095721*(Deep-Water Wavelength/Coastal Mean Depth)^2+0.0077829*(Deep-Water Wavelength/Coastal Mean Depth)^3)/(1+0.078834*(Deep-Water Wavelength/Coastal Mean Depth)+0.0317567*(Deep-Water Wavelength/Coastal Mean Depth)^2+0.0093407*(Deep-Water Wavelength/Coastal Mean Depth)^3). Here is an example- 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).

How to calculate Relative Height of Highest Wave as Function of Wavelength Obtained by Fenton?

With Deep-Water Wavelength (λ_o) & Coastal Mean Depth (d) we can find Relative Height of Highest Wave as Function of Wavelength Obtained by Fenton using the formula - Relative Height as a function of Wavelength = (0.141063*(Deep-Water Wavelength/Coastal Mean Depth)+0.0095721*(Deep-Water Wavelength/Coastal Mean Depth)^2+0.0077829*(Deep-Water Wavelength/Coastal Mean Depth)^3)/(1+0.078834*(Deep-Water Wavelength/Coastal Mean Depth)+0.0317567*(Deep-Water Wavelength/Coastal Mean Depth)^2+0.0093407*(Deep-Water Wavelength/Coastal Mean Depth)^3).

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