Water Depth for 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%
✖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.ⓘ Horizontal Semi-axis of Water Particle [A]			+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 Major Horizontal Semi-Axis for Shallow Water Condition [d_s]

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Formula

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

Formula

`"d"_{"s"} = ("H"_{"w"}*"L")/(4*pi*"A")`

Example

`"13.54583m"=("14m"*"90m")/(4*pi*"7.4021")`

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

STEP 0: Pre-Calculation Summary

Formula Used

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

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Variables Used

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.
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.
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.

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
Horizontal Semi-axis of Water Particle: 7.4021 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

d_s = (H_w*L)/(4*pi*A) --> (14*90)/(4*pi*7.4021)

Evaluating ... ...

d_s = 13.5458334996682

STEP 3: Convert Result to Output's Unit

13.5458334996682 Meter --> No Conversion Required

FINAL ANSWER

13.5458334996682 ≈ 13.54583 Meter <-- Water Depth for Semi-Axis of Ellipse

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

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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)

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

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

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 shallow water conditions?

The shallow-water equations describe a thin layer of fluid of constant density in hydrostatic balance, bounded from below by the bottom topography and from above by a free surface. They exhibit a rich variety of features, because they have infinitely many conservation laws

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

Water Depth for Major Horizontal Semi-Axis for Shallow Water Condition calculator uses Water Depth for Semi-Axis of Ellipse = (Height of The Wave*Length of Water Wave)/(4*pi*Horizontal Semi-axis of Water Particle) to calculate the Water Depth for Semi-Axis of Ellipse, The Water Depth for Major Horizontal Semi-Axis for Shallow Water Condition is defined as the total depth of the water to any distance from the bottom, when we have information about major horizontal semi axis for shallow water. Water Depth for Semi-Axis of Ellipse is denoted by d_s symbol.

How to calculate Water Depth for Major Horizontal Semi-Axis for Shallow Water Condition using this online calculator? To use this online calculator for Water Depth for Major Horizontal Semi-Axis for Shallow Water Condition, enter Height of The Wave (H_w), Length of Water Wave (L) & Horizontal Semi-axis of Water Particle (A) and hit the calculate button. Here is how the Water Depth for Major Horizontal Semi-Axis for Shallow Water Condition calculation can be explained with given input values -> 13.54583 = (14*90)/(4*pi*7.4021).

FAQ

What is Water Depth for Major Horizontal Semi-Axis for Shallow Water Condition?

The Water Depth for Major Horizontal Semi-Axis for Shallow Water Condition is defined as the total depth of the water to any distance from the bottom, when we have information about major horizontal semi axis for shallow water and is represented as d_s = (H_w*L)/(4*pi*A) or Water Depth for Semi-Axis of Ellipse = (Height of The Wave*Length of Water Wave)/(4*pi*Horizontal Semi-axis of Water Particle). 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 & 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.

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

The Water Depth for Major Horizontal Semi-Axis for Shallow Water Condition is defined as the total depth of the water to any distance from the bottom, when we have information about major horizontal semi axis for shallow water is calculated using Water Depth for Semi-Axis of Ellipse = (Height of The Wave*Length of Water Wave)/(4*pi*Horizontal Semi-axis of Water Particle). To calculate Water Depth for Major Horizontal Semi-Axis for Shallow Water Condition, you need Height of The Wave (H_w), Length of Water Wave (L) & Horizontal Semi-axis of Water Particle (A). With our tool, you need to enter the respective value for Height of The Wave, Length of Water Wave & Horizontal Semi-axis of Water Particle 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 Water Depth for Semi-Axis of Ellipse?

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

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

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