Wave Height for Major Horizontal Semi-Axis Deep Water Condition Calculator

✖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%
✖Sea Bed Elevation refers to the measurement of the height or depth of the ocean floor relative to a specified reference point, such as mean sea level.ⓘ Sea Bed Elevation [Z]			+10% -10%
✖Length of Water Wave is the horizontal distance between corresponding points on two successive waves.ⓘ Length of Water Wave [L]			+10% -10%

✖Height of The Wave is the difference between the elevations of a crest and a neighboring trough.ⓘ Wave Height for Major Horizontal Semi-Axis Deep Water Condition [H_w]

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Formula

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Wave Height for Major Horizontal Semi-Axis Deep Water Condition

Formula

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

Example

`"14.00004m"=(2*"7.4021")/exp(2*pi*"0.8"/"90m")`

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Wave Height for Major Horizontal Semi-Axis Deep Water Condition Solution

STEP 0: Pre-Calculation Summary

Formula Used

Height of The Wave = (2*Horizontal Semi-axis of Water Particle)/exp(2*pi*Sea Bed Elevation/Length of Water Wave)
H_w = (2*A)/exp(2*pi*Z/L)
This formula uses 1 Constants, 1 Functions, 4 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Functions Used

exp - n an exponential function, the value of the function changes by a constant factor for every unit change in the independent variable., exp(Number)

Variables Used

Height of The Wave - (Measured in Meter) - Height of The 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 refers to the horizontal component of the oscillation of water particles caused by waves or other hydrodynamic forces in coastal and engineering.
Sea Bed Elevation - Sea Bed Elevation refers to the measurement of the height or depth of the ocean floor relative to a specified reference point, such as mean sea level.
Length of Water Wave - (Measured in Meter) - Length of Water Wave is the horizontal distance between corresponding points on two successive waves.

STEP 1: Convert Input(s) to Base Unit

Horizontal Semi-axis of Water Particle: 7.4021 --> No Conversion Required
Sea Bed Elevation: 0.8 --> No Conversion Required
Length of Water Wave: 90 Meter --> 90 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

H_w = (2*A)/exp(2*pi*Z/L) --> (2*7.4021)/exp(2*pi*0.8/90)

Evaluating ... ...

H_w = 14.0000428206863

STEP 3: Convert Result to Output's Unit

14.0000428206863 Meter --> No Conversion Required

FINAL ANSWER

14.0000428206863 ≈ 14.00004 Meter <-- Height of The Wave

(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 » Wave Height for Major Horizontal Semi-Axis Deep Water Condition

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Created by Mithila Muthamma PA

Coorg Institute of Technology (CIT), Coorg

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NSS College of Engineering (NSSCE), Palakkad

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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)

Wave Height for Major Horizontal Semi-Axis Deep Water Condition Formula

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

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 Deep water conditions?

Deep water corresponds with water depths larger than half the wavelength, which is the common situation in the ocean. In deep water, longer period waves propagate faster and transport their energy faster. The deep-water group velocity is half the phase velocity.

How to Calculate Wave Height for Major Horizontal Semi-Axis Deep Water Condition?

Wave Height for Major Horizontal Semi-Axis Deep Water Condition calculator uses Height of The Wave = (2*Horizontal Semi-axis of Water Particle)/exp(2*pi*Sea Bed Elevation/Length of Water Wave) to calculate the Height of The Wave, The Wave Height for Major Horizontal Semi-Axis Deep Water Condition is defined as the difference between the elevations of a crest and a neighboring trough, when we have information about major horizontal semi axis for deep water. Height of The Wave is denoted by H_w symbol.

How to calculate Wave Height for Major Horizontal Semi-Axis Deep Water Condition using this online calculator? To use this online calculator for Wave Height for Major Horizontal Semi-Axis Deep Water Condition, enter Horizontal Semi-axis of Water Particle (A), Sea Bed Elevation (Z) & Length of Water Wave (L) and hit the calculate button. Here is how the Wave Height for Major Horizontal Semi-Axis Deep Water Condition calculation can be explained with given input values -> 14.00004 = (2*7.4021)/exp(2*pi*0.8/90).

FAQ

What is Wave Height for Major Horizontal Semi-Axis Deep Water Condition?

The Wave Height for Major Horizontal Semi-Axis Deep Water Condition is defined as the difference between the elevations of a crest and a neighboring trough, when we have information about major horizontal semi axis for deep water and is represented as H_w = (2*A)/exp(2*pi*Z/L) or Height of The Wave = (2*Horizontal Semi-axis of Water Particle)/exp(2*pi*Sea Bed Elevation/Length of Water Wave). 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, Sea Bed Elevation refers to the measurement of the height or depth of the ocean floor relative to a specified reference point, such as mean sea level & Length of Water Wave is the horizontal distance between corresponding points on two successive waves.

How to calculate Wave Height for Major Horizontal Semi-Axis Deep Water Condition?

The Wave Height for Major Horizontal Semi-Axis Deep Water Condition is defined as the difference between the elevations of a crest and a neighboring trough, when we have information about major horizontal semi axis for deep water is calculated using Height of The Wave = (2*Horizontal Semi-axis of Water Particle)/exp(2*pi*Sea Bed Elevation/Length of Water Wave). To calculate Wave Height for Major Horizontal Semi-Axis Deep Water Condition, you need Horizontal Semi-axis of Water Particle (A), Sea Bed Elevation (Z) & Length of Water Wave (L). With our tool, you need to enter the respective value for Horizontal Semi-axis of Water Particle, Sea Bed Elevation & Length of Water Wave 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 Height of The Wave?

In this formula, Height of The Wave uses Horizontal Semi-axis of Water Particle, Sea Bed Elevation & Length of Water Wave. We can use 3 other way(s) to calculate the same, which is/are as follows -

Height of The Wave = (4*Horizontal Semi-axis of Water Particle*pi*Water Depth for Semi-Axis of Ellipse)/Length of Water Wave
Height of The Wave = (2*Vertical Semi-Axis)/(1+(Sea Bed Elevation/Water Depth for Semi-Axis of Ellipse))
Height of The Wave = (2*Vertical Semi-Axis)/exp(2*pi*Sea Bed Elevation/Length of Water Wave)

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