Wave height for major horizontal semi-axis given wavelength and wave height Calculator

✖Horizontal Semi-axis of water particle is a plane curve surrounding two focal points, such that for all points on the curve, sum of two distances to focal points is constant.ⓘ Horizontal Semi-axis of water particle [A]			+10% -10%
✖Depth of Water Wave means the depth as measured from the water level to the bottom of the considered water body.ⓘ Depth of Water Wave [d]			+10% -10%
✖Wavelength can be defined as the distance between two successive crests or troughs of a wave.ⓘ Wavelength [λ]			+10% -10%
✖Distance above the Bottom expressing the local fluid velocity component.ⓘ Distance above the Bottom [D_Z+d]			+10% -10%

✖Wave Height of a surface wave is the difference between the elevations of a crest and a neighboring trough.ⓘ Wave height for major horizontal semi-axis given wavelength and wave height [H]

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Wave height for major horizontal semi-axis given wavelength and wave height

Formula

`"H" = "A"*2*sinh(2*pi*"d"/"λ")/cosh(2*pi*("D"_{"Z+d"})/"λ")`

Example

`"2.830096m"="7.4021"*2*sinh(2*pi*"0.9m"/"26.8m")/cosh(2*pi*("2m")/"26.8m")`

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Wave height for major horizontal semi-axis given wavelength and wave height Solution

STEP 0: Pre-Calculation Summary

Formula Used

Wave Height = Horizontal Semi-axis of water particle*2*sinh(2*pi*Depth of Water Wave/Wavelength)/cosh(2*pi*(Distance above the Bottom)/Wavelength)
H = A*2*sinh(2*pi*d/λ)/cosh(2*pi*(D_Z+d)/λ)
This formula uses 1 Constants, 2 Functions, 5 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Functions Used

sinh - The hyperbolic sine function, also known as the sinh function, is a mathematical function that is defined as the hyperbolic analogue of the sine function., sinh(Number)
cosh - The hyperbolic cosine function is a mathematical function that is defined as the ratio of the sum of the exponential functions of x and negative x to 2., cosh(Number)

Variables Used

Wave Height - (Measured in Meter) - Wave Height of a surface wave is the difference between the elevations of a crest and a neighboring trough.
Horizontal Semi-axis of water particle - Horizontal Semi-axis of water particle is a plane curve surrounding two focal points, such that for all points on the curve, sum of two distances to focal points is constant.
Depth of Water Wave - (Measured in Meter) - Depth of Water Wave means 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.
Distance above the Bottom - (Measured in Meter) - Distance above the Bottom expressing the local fluid velocity component.

STEP 1: Convert Input(s) to Base Unit

Horizontal Semi-axis of water particle: 7.4021 --> No Conversion Required
Depth of Water Wave: 0.9 Meter --> 0.9 Meter No Conversion Required
Wavelength: 26.8 Meter --> 26.8 Meter No Conversion Required
Distance above the Bottom: 2 Meter --> 2 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

H = A*2*sinh(2*pi*d/λ)/cosh(2*pi*(D_Z+d)/λ) --> 7.4021*2*sinh(2*pi*0.9/26.8)/cosh(2*pi*(2)/26.8)

Evaluating ... ...

H = 2.83009639046326

STEP 3: Convert Result to Output's Unit

2.83009639046326 Meter --> No Conversion Required

FINAL ANSWER

2.83009639046326 ≈ 2.830096 Meter <-- Wave Height

(Calculation completed in 00.004 seconds)

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Created by Mithila Muthamma PA

Coorg Institute of Technology (CIT), Coorg

Mithila Muthamma PA has created this Calculator and 2000+ more calculators!

Verified by Chandana P Dev

NSS College of Engineering (NSSCE), Palakkad

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< 20 Wave Height Calculators

Wave Height for Horizontal Fluid Particle Displacements

Go Wave Height = -Fluid Particle Displacements*(4*pi*Wavelength)*(cosh(2*pi*Water Depth/Wavelength))/([g]*Wave Period^2)*((cosh(2*pi*(Distance above the Bottom)/Wavelength)))*sin(Phase Angle)

Wave Height for Vertical Fluid Particle Displacements

Go Wave Height = Fluid Particle Displacements*(4*pi*Wavelength)*cosh(2*pi*Water Depth/Wavelength)/([g]*Wave Period^2*sinh(2*pi*(Distance above the Bottom)/Wavelength)*cos(Phase Angle))

Wave Height for Vertical Component of Local Fluid Velocity

Go Wave Height = (Vertical Component of Velocity*2*Wavelength)*cosh(2*pi*Water Depth/Wavelength)/([g]*Wave Period*sinh(2*pi*(Distance above the Bottom)/Wavelength)*sin(Phase Angle))

Wave Height for Horizontal Component of Local Fluid Velocity

Go Wave Height = Water Particle Velocity*2*Wavelength*cosh(2*pi*Depth of Water Wave/Wavelength)/([g]*Wave Period*cosh(2*pi*(Distance above the Bottom)/Wavelength)*cos(Phase Angle))

Wave height for local fluid particle acceleration of vertical component

Go Wave Height = -(Local Fluid Particle Acceleration*Wavelength*cosh(2*pi*Water Depth/Wavelength)/([g]*pi*sinh(2*pi*(Distance above the Bottom)/Wavelength)*cos(Phase Angle)))

Wave height for local fluid particle acceleration of horizontal component

Go Wave Height = Local Fluid Particle Acceleration*Wavelength*cosh(2*pi*Water Depth/Wavelength)/([g]*pi*cosh(2*pi*(Distance above the Bottom)/Wavelength)*sin(Phase Angle))

Wave Height for simplified horizontal fluid particle displacements

Go Wave Height = -Fluid Particle Displacements*2*sinh(2*pi*Water Depth/Wavelength)/cosh(2*pi*(Distance above the Bottom)/Wavelength)*sin(Phase Angle)

Wave Height for simplified vertical fluid particle displacements

Go Wave Height = Fluid Particle Displacements*2*sinh(2*pi*Water Depth/Wavelength)/sinh(2*pi*(Distance above the Bottom)/Wavelength)*cos(Phase Angle)

Wave height for major horizontal semi-axis given wavelength and wave height

Go Wave Height = Horizontal Semi-axis of water particle*2*sinh(2*pi*Depth of Water Wave/Wavelength)/cosh(2*pi*(Distance above the Bottom)/Wavelength)

Wave height for minor vertical semi-axis given wavelength, wave height and water depth

Go Wave Height = Vertical Semi-Axis*2*sinh(2*pi*Depth of Water Wave/Wavelength)/sinh(2*pi*(Distance above the Bottom)/Wavelength)

Wave Height represented by Rayleigh Distribution

Go Individual Wave Height = (2*Wave Height/Root Mean Square Wave Height^2)*exp(-(Wave Height^2/Root Mean Square Wave Height^2))

Wave Height represented by Rayleigh Distribution under Narrow Band Condition

Go Individual Wave Height = 1-exp(-Wave Height^2/Root Mean Square Wave Height^2)

Mean Wave Period given Maximum Wave Period

Go Mean Wave Period = Maximum Wave Period/Coefficient Eckman

Wave Height given wave steepness

Go Wave Height = Wave Steepness*Wavelength

Wavelength given wave steepness

Go Wavelength = Wave Height/Wave Steepness

Significant Wave Height given Wave Period for North Sea

Go Significant Wave Height = (Wave Period/3.94)^1/0.376

Maximum Wave Height

Go Maximum Wave Height = 1.86*Significant Wave Height

Wave Height given Wave Period for Mediterranean Sea

Go Wave Height = ((Wave Period-4)/2)^(1/0.7)

Wave Height given Wave Amplitude

Go Wave Height = 2*Wave Amplitude

Wave Height given Wave Period for North Atlantic Ocean

Go Wave Height = Wave Period/2.5

Wave height for major horizontal semi-axis given wavelength and wave height Formula

Wave Height = Horizontal Semi-axis of water particle*2*sinh(2*pi*Depth of Water Wave/Wavelength)/cosh(2*pi*(Distance above the Bottom)/Wavelength)
H = A*2*sinh(2*pi*d/λ)/cosh(2*pi*(D_Z+d)/λ)

How does depth affect wavelength?

The change from deep to shallow water waves occurs when the depth of the water, d, becomes less than one half of the wavelength of the wave, λ. The speed of deep-water waves depends on the wavelength of the waves. We say that deep-water waves show dispersion. A wave with a longer wavelength travels at higher speed.

Define wave height

The wave height of a surface wave is the difference between the elevations of a crest and a neighboring trough. Wave height is a term used by mariners, as well as in coastal, ocean and naval engineering.

How to Calculate Wave height for major horizontal semi-axis given wavelength and wave height?

Wave height for major horizontal semi-axis given wavelength and wave height calculator uses Wave Height = Horizontal Semi-axis of water particle*2*sinh(2*pi*Depth of Water Wave/Wavelength)/cosh(2*pi*(Distance above the Bottom)/Wavelength) to calculate the Wave Height, The Wave height for major horizontal semi-axis given wavelength and wave height of a surface wave is the difference between the elevations of a crest and a neighbouring trough. Wave height is a term used by mariners, as well as in coastal, ocean and naval engineering. Wave Height is denoted by H symbol.

How to calculate Wave height for major horizontal semi-axis given wavelength and wave height using this online calculator? To use this online calculator for Wave height for major horizontal semi-axis given wavelength and wave height, enter Horizontal Semi-axis of water particle (A), Depth of Water Wave (d), Wavelength (λ) & Distance above the Bottom (D_Z+d) and hit the calculate button. Here is how the Wave height for major horizontal semi-axis given wavelength and wave height calculation can be explained with given input values -> 2.830096 = 7.4021*2*sinh(2*pi*0.9/26.8)/cosh(2*pi*(2)/26.8).

FAQ

What is Wave height for major horizontal semi-axis given wavelength and wave height?

The Wave height for major horizontal semi-axis given wavelength and wave height of a surface wave is the difference between the elevations of a crest and a neighbouring trough. Wave height is a term used by mariners, as well as in coastal, ocean and naval engineering and is represented as H = A*2*sinh(2*pi*d/λ)/cosh(2*pi*(D_Z+d)/λ) or Wave Height = Horizontal Semi-axis of water particle*2*sinh(2*pi*Depth of Water Wave/Wavelength)/cosh(2*pi*(Distance above the Bottom)/Wavelength). Horizontal Semi-axis of water particle is a plane curve surrounding two focal points, such that for all points on the curve, sum of two distances to focal points is constant, Depth of Water Wave means 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 & Distance above the Bottom expressing the local fluid velocity component.

How to calculate Wave height for major horizontal semi-axis given wavelength and wave height?

The Wave height for major horizontal semi-axis given wavelength and wave height of a surface wave is the difference between the elevations of a crest and a neighbouring trough. Wave height is a term used by mariners, as well as in coastal, ocean and naval engineering is calculated using Wave Height = Horizontal Semi-axis of water particle*2*sinh(2*pi*Depth of Water Wave/Wavelength)/cosh(2*pi*(Distance above the Bottom)/Wavelength). To calculate Wave height for major horizontal semi-axis given wavelength and wave height, you need Horizontal Semi-axis of water particle (A), Depth of Water Wave (d), Wavelength (λ) & Distance above the Bottom (D_Z+d). With our tool, you need to enter the respective value for Horizontal Semi-axis of water particle, Depth of Water Wave, Wavelength & Distance above the Bottom 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 Height?

In this formula, Wave Height uses Horizontal Semi-axis of water particle, Depth of Water Wave, Wavelength & Distance above the Bottom. We can use 13 other way(s) to calculate the same, which is/are as follows -

Wave Height = 2*Wave Amplitude
Wave Height = Wave Steepness*Wavelength
Wave Height = -Fluid Particle Displacements*(4*pi*Wavelength)*(cosh(2*pi*Water Depth/Wavelength))/([g]*Wave Period^2)*((cosh(2*pi*(Distance above the Bottom)/Wavelength)))*sin(Phase Angle)
Wave Height = Fluid Particle Displacements*(4*pi*Wavelength)*cosh(2*pi*Water Depth/Wavelength)/([g]*Wave Period^2*sinh(2*pi*(Distance above the Bottom)/Wavelength)*cos(Phase Angle))
Wave Height = Water Particle Velocity*2*Wavelength*cosh(2*pi*Depth of Water Wave/Wavelength)/([g]*Wave Period*cosh(2*pi*(Distance above the Bottom)/Wavelength)*cos(Phase Angle))
Wave Height = (Vertical Component of Velocity*2*Wavelength)*cosh(2*pi*Water Depth/Wavelength)/([g]*Wave Period*sinh(2*pi*(Distance above the Bottom)/Wavelength)*sin(Phase Angle))
Wave Height = Local Fluid Particle Acceleration*Wavelength*cosh(2*pi*Water Depth/Wavelength)/([g]*pi*cosh(2*pi*(Distance above the Bottom)/Wavelength)*sin(Phase Angle))
Wave Height = -(Local Fluid Particle Acceleration*Wavelength*cosh(2*pi*Water Depth/Wavelength)/([g]*pi*sinh(2*pi*(Distance above the Bottom)/Wavelength)*cos(Phase Angle)))
Wave Height = Fluid Particle Displacements*2*sinh(2*pi*Water Depth/Wavelength)/sinh(2*pi*(Distance above the Bottom)/Wavelength)*cos(Phase Angle)
Wave Height = -Fluid Particle Displacements*2*sinh(2*pi*Water Depth/Wavelength)/cosh(2*pi*(Distance above the Bottom)/Wavelength)*sin(Phase Angle)
Wave Height = Vertical Semi-Axis*2*sinh(2*pi*Depth of Water Wave/Wavelength)/sinh(2*pi*(Distance above the Bottom)/Wavelength)
Wave Height = ((Wave Period-4)/2)^(1/0.7)
Wave Height = Wave Period/2.5

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