Major Horizontal Semi Axis for Shallow Water Condition Calculator

✖Height of The Wave is the difference between the elevations of a crest and a neighboring trough.ⓘ Height of The Wave [H_w]			+10% -10%
✖Length of Water Wave is the horizontal distance between corresponding points on two successive waves.ⓘ Length of Water Wave [L]			+10% -10%
✖Water Depth for Semi-Axis of Ellipse is the depth of water from the bed of sea for semi-axis of ellipse.ⓘ Water Depth for Semi-Axis of Ellipse [d_s]			+10% -10%

✖Horizontal Semi-axis of Water Particle refers to the horizontal component of the oscillation of water particles caused by waves or other hydrodynamic forces in coastal and engineering.ⓘ Major Horizontal Semi Axis for Shallow Water Condition [A]

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Formula

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Major Horizontal Semi Axis for Shallow Water Condition

Formula

`"A" = ("H"_{"w"}/2)*("L"/(2*pi*"d"_{"s"}))`

Example

`"7.427231"=("14m"/2)*("90m"/(2*pi*"13.5m"))`

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Major Horizontal Semi Axis for Shallow Water Condition Solution

STEP 0: Pre-Calculation Summary

Formula Used

Horizontal Semi-axis of Water Particle = (Height of The Wave/2)*(Length of Water Wave/(2*pi*Water Depth for Semi-Axis of Ellipse))
A = (H_w/2)*(L/(2*pi*d_s))
This formula uses 1 Constants, 4 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Variables Used

Horizontal Semi-axis of Water Particle - Horizontal Semi-axis of Water Particle refers to the horizontal component of the oscillation of water particles caused by waves or other hydrodynamic forces in coastal and engineering.
Height of The Wave - (Measured in Meter) - Height of The Wave is the difference between the elevations of a crest and a neighboring trough.
Length of Water Wave - (Measured in Meter) - Length of Water Wave is the horizontal distance between corresponding points on two successive waves.
Water Depth for Semi-Axis of Ellipse - (Measured in Meter) - Water Depth for Semi-Axis of Ellipse is the depth of water from the bed of sea for semi-axis of ellipse.

STEP 1: Convert Input(s) to Base Unit

Height of The Wave: 14 Meter --> 14 Meter No Conversion Required
Length of Water Wave: 90 Meter --> 90 Meter No Conversion Required
Water Depth for Semi-Axis of Ellipse: 13.5 Meter --> 13.5 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

A = (H_w/2)*(L/(2*pi*d_s)) --> (14/2)*(90/(2*pi*13.5))

Evaluating ... ...

A = 7.42723067762178

STEP 3: Convert Result to Output's Unit

7.42723067762178 --> No Conversion Required

FINAL ANSWER

7.42723067762178 ≈ 7.427231 <-- Horizontal Semi-axis of Water Particle

(Calculation completed in 00.004 seconds)

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Home » Engineering » Civil » Coastal and Ocean Engineering » Water Wave Mechanics » Horizontal and Vertical Semi-axis of ellipse » Major Horizontal Semi Axis for Shallow Water Condition

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Created by Mithila Muthamma PA

Coorg Institute of Technology (CIT), Coorg

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< 13 Horizontal and Vertical Semi-axis of ellipse Calculators

Phase Angle for Horizontal Fluid Particle Displacement

Go Phase Angle = asin(((Fluid Particle Displacement/Wave Amplitude)*(sinh(2*pi*Water Depth/Wavelength of Coast)/cosh(2*pi*(Elevation above the Bottom)/Wavelength of Coast)))^2)^2

Wave Height for Major Horizontal Semi-Axis Deep Water Condition

Go Height of The Wave = (2*Horizontal Semi-axis of Water Particle)/exp(2*pi*Sea Bed Elevation/Length of Water Wave)

Major Horizontal Semi Axis for Deep Water Condition

Go Horizontal Semi-axis of Water Particle = (Height of The Wave/2)*exp(2*pi*Sea Bed Elevation/Length of Water Wave)

Major Horizontal Semi Axis for Shallow Water Condition

Go Horizontal Semi-axis of Water Particle = (Height of The Wave/2)*(Length of Water Wave/(2*pi*Water Depth for Semi-Axis of Ellipse))

Water Depth for Major Horizontal Semi-Axis for Shallow Water Condition

Go Water Depth for Semi-Axis of Ellipse = (Height of The Wave*Length of Water Wave)/(4*pi*Horizontal Semi-axis of Water Particle)

Wave Height for Major Horizontal Semi-Axis for Shallow Water Condition

Go Height of The Wave = (4*Horizontal Semi-axis of Water Particle*pi*Water Depth for Semi-Axis of Ellipse)/Length of Water Wave

Wavelength for Major Horizontal Semi-Axis for Shallow Water Condition

Go Length of Water Wave = (4*pi*Water Depth for Semi-Axis of Ellipse*Horizontal Semi-axis of Water Particle)/Height of The Wave

Wave Height for Minor Vertical Semi-Axis Deep Water Condition

Go Height of The Wave = (2*Vertical Semi-Axis)/exp(2*pi*Sea Bed Elevation/Length of Water Wave)

Minor Vertical Semi-Axis for Deep Water Condition

Go Vertical Semi-Axis = (Height of The Wave/2)*exp(2*pi*Sea Bed Elevation/Length of Water Wave)

Wave Height Given Minor Vertical Semi-Axis for Shallow Water Condition

Go Height of The Wave = (2*Vertical Semi-Axis)/(1+(Sea Bed Elevation/Water Depth for Semi-Axis of Ellipse))

Water Depth Given Minor Vertical Semi-Axis for Shallow Water Condition

Go Water Depth for Semi-Axis of Ellipse = Sea Bed Elevation/((Vertical Semi-Axis/(Height of The Wave/2))-1)

Sea Bed Given Minor Vertical Semi-Axis for Shallow Water Condition

Go Sea Bed Elevation = Water Depth for Semi-Axis of Ellipse*((Vertical Semi-Axis/(Height of The Wave/2))-1)

Minor Vertical Semi Axis for Shallow Water Condition

Go Vertical Semi-Axis = (Height of The Wave/2)*(1+Sea Bed Elevation/Water Depth for Semi-Axis of Ellipse)

Major Horizontal Semi Axis for Shallow Water Condition Formula

Horizontal Semi-axis of Water Particle = (Height of The Wave/2)*(Length of Water Wave/(2*pi*Water Depth for Semi-Axis of Ellipse))
A = (H_w/2)*(L/(2*pi*d_s))

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.

What is a wavelength in the ocean?

Wavelength is the distance between two identical points on successive waves, for example crest to crest, or trough to trough. Wave steepness: the ratio of wave height to length (H/L).

How to Calculate Major Horizontal Semi Axis for Shallow Water Condition?

Major Horizontal Semi Axis for Shallow Water Condition calculator uses Horizontal Semi-axis of Water Particle = (Height of The Wave/2)*(Length of Water Wave/(2*pi*Water Depth for Semi-Axis of Ellipse)) to calculate the Horizontal Semi-axis of Water Particle, The Major Horizontal Semi Axis for Shallow Water Condition is defined as the parameters of ellipse influencing fluid particle displacement in horizontal and vertical direction. Horizontal Semi-axis of Water Particle is denoted by A symbol.

How to calculate Major Horizontal Semi Axis for Shallow Water Condition using this online calculator? To use this online calculator for Major Horizontal Semi Axis for Shallow Water Condition, enter Height of The Wave (H_w), Length of Water Wave (L) & Water Depth for Semi-Axis of Ellipse (d_s) and hit the calculate button. Here is how the Major Horizontal Semi Axis for Shallow Water Condition calculation can be explained with given input values -> 7.427231 = (14/2)*(90/(2*pi*13.5)).

FAQ

What is Major Horizontal Semi Axis for Shallow Water Condition?

The Major Horizontal Semi Axis for Shallow Water Condition is defined as the parameters of ellipse influencing fluid particle displacement in horizontal and vertical direction and is represented as A = (H_w/2)*(L/(2*pi*d_s)) or Horizontal Semi-axis of Water Particle = (Height of The Wave/2)*(Length of Water Wave/(2*pi*Water Depth for Semi-Axis of Ellipse)). Height of The Wave is the difference between the elevations of a crest and a neighboring trough, Length of Water Wave is the horizontal distance between corresponding points on two successive waves & Water Depth for Semi-Axis of Ellipse is the depth of water from the bed of sea for semi-axis of ellipse.

How to calculate Major Horizontal Semi Axis for Shallow Water Condition?

The Major Horizontal Semi Axis for Shallow Water Condition is defined as the parameters of ellipse influencing fluid particle displacement in horizontal and vertical direction is calculated using Horizontal Semi-axis of Water Particle = (Height of The Wave/2)*(Length of Water Wave/(2*pi*Water Depth for Semi-Axis of Ellipse)). To calculate Major Horizontal Semi Axis for Shallow Water Condition, you need Height of The Wave (H_w), Length of Water Wave (L) & Water Depth for Semi-Axis of Ellipse (d_s). With our tool, you need to enter the respective value for Height of The Wave, Length of Water Wave & Water Depth for Semi-Axis of Ellipse 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 Horizontal Semi-axis of Water Particle?

In this formula, Horizontal Semi-axis of Water Particle uses Height of The Wave, Length of Water Wave & Water Depth for Semi-Axis of Ellipse. We can use 1 other way(s) to calculate the same, which is/are as follows -

Horizontal Semi-axis of Water Particle = (Height of The Wave/2)*exp(2*pi*Sea Bed Elevation/Length of Water Wave)

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