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*ds*A)/Hw
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 is a plane curve surrounding two focal points, such that for all points on the curve, sum of two distances to focal points is constant.
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*ds*A)/Hw --> (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 00.004 seconds)

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13 Horizontal and Vertical Semi-axis of ellipse Calculators

Phase Angle for Horizontal Fluid Particle Displacements
Go Phase Angle = asin(((Fluid Particle Displacements/Wave Amplitude)*(sinh(2*pi*Water Depth/Wavelength)/cosh(2*pi*(Distance above the Bottom)/Wavelength)))^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*Seabed 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*Seabed 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*Seabed 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*Seabed 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+(Seabed 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 = Seabed Elevation/((Vertical Semi-axis/(Height of The Wave/2))-1)
Sea Bed Given Minor Vertical Semi-Axis for Shallow Water Condition
Go Seabed 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+Seabed 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*ds*A)/Hw

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 can be defined as the distance between two successive crests or troughs of a wave. 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 (ds), Horizontal Semi-axis of water particle (A) & Height of The Wave (Hw) 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 can be defined as the distance between two successive crests or troughs of a wave and is represented as L = (4*pi*ds*A)/Hw 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 is a plane curve surrounding two focal points, such that for all points on the curve, sum of two distances to focal points is constant & 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 can be defined as the distance between two successive crests or troughs of a wave 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 (ds), Horizontal Semi-axis of water particle (A) & Height of The Wave (Hw). 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.
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