Wavelength for Major Horizontal Semi-Axis for Shallow Water Condition Calculator

✖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.ⓘ Horizontal Semi-axis of Water Particle [A]			+10% -10%
✖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.ⓘ Wavelength for Major Horizontal Semi-Axis for Shallow Water Condition [L]

⎘ Copy

👎

Formula

✖

Wavelength for Major Horizontal Semi-Axis for Shallow Water Condition

Formula

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

Example

`"89.69548m"=(4*pi*"13.5m"*"7.4021")/"14m"`

Calculator

LaTeX

Reset

👍

Download Coastal and Ocean Engineering Formula PDF

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

STEP 0: Pre-Calculation Summary

Formula Used

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

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Variables Used

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.
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.

STEP 1: Convert Input(s) to Base Unit

Water Depth for Semi-Axis of Ellipse: 13.5 Meter --> 13.5 Meter No Conversion Required
Horizontal Semi-axis of Water Particle: 7.4021 --> No Conversion Required
Height of The Wave: 14 Meter --> 14 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

L = (4*pi*d_s*A)/H_w --> (4*pi*13.5*7.4021)/14

Evaluating ... ...

L = 89.695477212957

STEP 3: Convert Result to Output's Unit

89.695477212957 Meter --> No Conversion Required

FINAL ANSWER

89.695477212957 ≈ 89.69548 Meter <-- Length of Water Wave

(Calculation completed in 00.020 seconds)

You are here -

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

Credits

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

Chandana P Dev has verified this Calculator and 1700+ more calculators!

< 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)

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

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

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 Wavelength for Major Horizontal Semi-Axis for Shallow Water Condition?

Wavelength for Major Horizontal Semi-Axis for Shallow Water Condition calculator uses Length of Water Wave = (4*pi*Water Depth for Semi-Axis of Ellipse*Horizontal Semi-axis of Water Particle)/Height of The Wave to calculate the Length of Water Wave, The Wavelength for Major Horizontal Semi-Axis for Shallow Water Condition is defined as the distance between two successive crests or troughs of a wave, when we have the information about the major horizontal semi axis for shallow water. Length of Water Wave is denoted by L symbol.

How to calculate Wavelength for Major Horizontal Semi-Axis for Shallow Water Condition using this online calculator? To use this online calculator for Wavelength for Major Horizontal Semi-Axis for Shallow Water Condition, enter Water Depth for Semi-Axis of Ellipse (d_s), Horizontal Semi-axis of Water Particle (A) & Height of The Wave (H_w) and hit the calculate button. Here is how the Wavelength for Major Horizontal Semi-Axis for Shallow Water Condition calculation can be explained with given input values -> 89.69548 = (4*pi*13.5*7.4021)/14.

FAQ

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

The Wavelength for Major Horizontal Semi-Axis for Shallow Water Condition is defined as the distance between two successive crests or troughs of a wave, when we have the information about the major horizontal semi axis for shallow water and is represented as L = (4*pi*d_s*A)/H_w or Length of Water Wave = (4*pi*Water Depth for Semi-Axis of Ellipse*Horizontal Semi-axis of Water Particle)/Height of The Wave. Water Depth for Semi-Axis of Ellipse is the depth of water from the bed of sea for semi-axis of ellipse, 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 is the difference between the elevations of a crest and a neighboring trough.

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

The Wavelength for Major Horizontal Semi-Axis for Shallow Water Condition is defined as the distance between two successive crests or troughs of a wave, when we have the information about the major horizontal semi axis for shallow water is calculated using Length of Water Wave = (4*pi*Water Depth for Semi-Axis of Ellipse*Horizontal Semi-axis of Water Particle)/Height of The Wave. To calculate Wavelength for Major Horizontal Semi-Axis for Shallow Water Condition, you need Water Depth for Semi-Axis of Ellipse (d_s), Horizontal Semi-axis of Water Particle (A) & Height of The Wave (H_w). With our tool, you need to enter the respective value for Water Depth for Semi-Axis of Ellipse, Horizontal Semi-axis of Water Particle & Height of The Wave and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

Home

FREE PDFs

🔍 Search