Major Horizontal Semi Axis for Deep 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%
✖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%

✖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 Deep Water Condition [A]

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Major Horizontal Semi Axis for Deep Water Condition Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

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.
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

Height of the Wave: 14 Meter --> 14 Meter 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

A = (H_w/2)*exp(2*pi*Z/L) --> (14/2)*exp(2*pi*0.8/90)

Evaluating ... ...

A = 7.4020773598548

STEP 3: Convert Result to Output's Unit

7.4020773598548 --> No Conversion Required

FINAL ANSWER

7.4020773598548 ≈ 7.402077 <-- Horizontal Semi-axis of Water Particle

(Calculation completed in 00.020 seconds)

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< Horizontal and Vertical Semi Axis of Ellipse Calculators

Major Horizontal Semi Axis for Deep Water Condition

LaTeX 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

LaTeX 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))

Minor Vertical Semi-Axis for Deep Water Condition

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

Minor Vertical Semi Axis for Shallow Water Condition

LaTeX 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 Deep Water Condition Formula

LaTeX Go

Horizontal Semi-axis of Water Particle = (Height of the Wave/2)*exp(2*pi*Sea Bed Elevation/Length of Water Wave)
A = (H_w/2)*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 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 Deep Water Condition?

Major Horizontal Semi Axis for Deep Water Condition calculator uses Horizontal Semi-axis of Water Particle = (Height of the Wave/2)*exp(2*pi*Sea Bed Elevation/Length of Water Wave) to calculate the Horizontal Semi-axis of Water Particle, The Major Horizontal Semi Axis for Deep Water Condition formula 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 Deep Water Condition using this online calculator? To use this online calculator for Major Horizontal Semi Axis for Deep Water Condition, enter Height of the Wave (H_w), Sea Bed Elevation (Z) & Length of Water Wave (L) and hit the calculate button. Here is how the Major Horizontal Semi Axis for Deep Water Condition calculation can be explained with given input values -> 7.402077 = (14/2)*exp(2*pi*0.8/90).

FAQ

What is Major Horizontal Semi Axis for Deep Water Condition?

The Major Horizontal Semi Axis for Deep Water Condition formula is defined as the parameters of ellipse influencing fluid particle displacement in horizontal and vertical direction and is represented as A = (H_w/2)*exp(2*pi*Z/L) or Horizontal Semi-axis of Water Particle = (Height of the Wave/2)*exp(2*pi*Sea Bed Elevation/Length of Water Wave). Height of the Wave is the difference between the elevations of a crest and a neighboring trough, 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 Major Horizontal Semi Axis for Deep Water Condition?

The Major Horizontal Semi Axis for Deep Water Condition formula 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)*exp(2*pi*Sea Bed Elevation/Length of Water Wave). To calculate Major Horizontal Semi Axis for Deep Water Condition, you need Height of the Wave (H_w), Sea Bed Elevation (Z) & Length of Water Wave (L). With our tool, you need to enter the respective value for Height of the Wave, 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 Horizontal Semi-axis of Water Particle?

In this formula, Horizontal Semi-axis of Water Particle uses Height of the Wave, Sea Bed Elevation & Length of Water Wave. 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)*(Length of Water Wave/(2*pi*Water Depth for Semi-Axis of Ellipse))

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