Maximum Wave Steepness for Waves Travelling Calculator

✖Water Depth of the considered catchment is the depth as measured from the water level to the bottom of the considered water body.ⓘ Water Depth [d]			+10% -10%
✖Wavelength can be defined as the distance between two successive crests or troughs of a wave.ⓘ Wavelength [λ]			+10% -10%

✖Wave Steepness is defined as the ratio of wave height H to the wavelength λ.ⓘ Maximum Wave Steepness for Waves Travelling [ε_s]

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Maximum Wave Steepness for Waves Travelling Solution

STEP 0: Pre-Calculation Summary

Formula Used

Wave Steepness = 0.142*tanh(2*pi*Water Depth/Wavelength)
ε_s = 0.142*tanh(2*pi*d/λ)
This formula uses 1 Constants, 1 Functions, 3 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Functions Used

tanh - The hyperbolic tangent function (tanh) is a function that is defined as the ratio of the hyperbolic sine function (sinh) to the hyperbolic cosine function (cosh)., tanh(Number)

Variables Used

Wave Steepness - Wave Steepness is defined as the ratio of wave height H to the wavelength λ.
Water Depth - (Measured in Meter) - Water Depth of the considered catchment is the depth as measured from the water level to the bottom of the considered water body.
Wavelength - (Measured in Meter) - Wavelength can be defined as the distance between two successive crests or troughs of a wave.

STEP 1: Convert Input(s) to Base Unit

Water Depth: 0.91 Meter --> 0.91 Meter No Conversion Required
Wavelength: 26.8 Meter --> 26.8 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

ε_s = 0.142*tanh(2*pi*d/λ) --> 0.142*tanh(2*pi*0.91/26.8)

Evaluating ... ...

ε_s = 0.0298438370162422

STEP 3: Convert Result to Output's Unit

0.0298438370162422 --> No Conversion Required

FINAL ANSWER

0.0298438370162422 ≈ 0.029844 <-- Wave Steepness

(Calculation completed in 00.004 seconds)

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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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< Wave Parameters Calculators

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Wave Amplitude

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Maximum Wave Steepness for Waves Travelling Formula

LaTeX Go

Wave Steepness = 0.142*tanh(2*pi*Water Depth/Wavelength)
ε_s = 0.142*tanh(2*pi*d/λ)

What causes wave?

Waves are most commonly caused by wind. Wind-driven waves, or surface waves, are created by the friction between wind and surface water. As wind blows across the surface of the ocean or a lake, the continual disturbance creates a wave crest. The gravitational pull of the sun and moon on the earth also causes waves.

How to Calculate Maximum Wave Steepness for Waves Travelling?

Maximum Wave Steepness for Waves Travelling calculator uses Wave Steepness = 0.142*tanh(2*pi*Water Depth/Wavelength) to calculate the Wave Steepness, The Maximum Wave Steepness for Waves Travelling formula is defined as the Depths less than Lo/2 by Michell is defined as the ratio of wave height H to the wavelength λ.The maximum wave height occurs for a wave steepness H / λ ≈ 0.1412, above which no periodic surface gravity waves exist. Wave Steepness is denoted by ε_s symbol.

How to calculate Maximum Wave Steepness for Waves Travelling using this online calculator? To use this online calculator for Maximum Wave Steepness for Waves Travelling, enter Water Depth (d) & Wavelength (λ) and hit the calculate button. Here is how the Maximum Wave Steepness for Waves Travelling calculation can be explained with given input values -> 0.034267 = 0.142*tanh(2*pi*0.91/26.8).

FAQ

What is Maximum Wave Steepness for Waves Travelling?

The Maximum Wave Steepness for Waves Travelling formula is defined as the Depths less than Lo/2 by Michell is defined as the ratio of wave height H to the wavelength λ.The maximum wave height occurs for a wave steepness H / λ ≈ 0.1412, above which no periodic surface gravity waves exist and is represented as ε_s = 0.142*tanh(2*pi*d/λ) or Wave Steepness = 0.142*tanh(2*pi*Water Depth/Wavelength). Water Depth of the considered catchment is the depth as measured from the water level to the bottom of the considered water body & Wavelength can be defined as the distance between two successive crests or troughs of a wave.

How to calculate Maximum Wave Steepness for Waves Travelling?

The Maximum Wave Steepness for Waves Travelling formula is defined as the Depths less than Lo/2 by Michell is defined as the ratio of wave height H to the wavelength λ.The maximum wave height occurs for a wave steepness H / λ ≈ 0.1412, above which no periodic surface gravity waves exist is calculated using Wave Steepness = 0.142*tanh(2*pi*Water Depth/Wavelength). To calculate Maximum Wave Steepness for Waves Travelling, you need Water Depth (d) & Wavelength (λ). With our tool, you need to enter the respective value for Water Depth & Wavelength 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 Wave Steepness?

In this formula, Wave Steepness uses Water Depth & Wavelength. We can use 1 other way(s) to calculate the same, which is/are as follows -

Wave Steepness = Wave Height/Wavelength

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