Water Depth Given Minor Vertical Semi-Axis for Shallow Water Condition Calculator

✖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%
✖Vertical Semi-Axis refers to a geometric property of an object or structure.ⓘ Vertical Semi-Axis [B]			+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%

✖Water Depth for Semi-Axis of Ellipse is the depth of water from the bed of sea for semi-axis of ellipse.ⓘ Water Depth Given Minor Vertical Semi-Axis for Shallow Water Condition [d_s]

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Water Depth Given Minor Vertical Semi-Axis for Shallow Water Condition

Formula

`"d"_{"s"} = "Z"/(("B"/("H"_{"w"}/2))-1)`

Example

`"13.49398m"="0.8"/(("7.415"/("14m"/2))-1)`

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Water Depth Given Minor Vertical Semi-Axis for Shallow Water Condition Solution

STEP 0: Pre-Calculation Summary

Formula Used

Water Depth for Semi-Axis of Ellipse = Sea Bed Elevation/((Vertical Semi-Axis/(Height of The Wave/2))-1)
d_s = Z/((B/(H_w/2))-1)
This formula uses 4 Variables

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.
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.
Vertical Semi-Axis - Vertical Semi-Axis refers to a geometric property of an object or structure.
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

Sea Bed Elevation: 0.8 --> No Conversion Required
Vertical Semi-Axis: 7.415 --> No Conversion Required
Height of The Wave: 14 Meter --> 14 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

d_s = Z/((B/(H_w/2))-1) --> 0.8/((7.415/(14/2))-1)

Evaluating ... ...

d_s = 13.4939759036144

STEP 3: Convert Result to Output's Unit

13.4939759036144 Meter --> No Conversion Required

FINAL ANSWER

13.4939759036144 ≈ 13.49398 Meter <-- Water Depth for Semi-Axis of Ellipse

(Calculation completed in 00.020 seconds)

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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 Given Minor Vertical Semi-Axis for Shallow Water Condition Formula

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

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 meant by 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 Given Minor Vertical Semi-Axis for Shallow Water Condition?

Water Depth Given Minor Vertical Semi-Axis for Shallow Water Condition calculator uses Water Depth for Semi-Axis of Ellipse = Sea Bed Elevation/((Vertical Semi-Axis/(Height of The Wave/2))-1) to calculate the Water Depth for Semi-Axis of Ellipse, The Water Depth Given Minor Vertical Semi-Axis for Shallow Water Condition formula is defined as total depth of water to any distance from bottom, when we have information about minor vertical semi axis for shallow water. Water Depth for Semi-Axis of Ellipse is denoted by d_s symbol.

How to calculate Water Depth Given Minor Vertical Semi-Axis for Shallow Water Condition using this online calculator? To use this online calculator for Water Depth Given Minor Vertical Semi-Axis for Shallow Water Condition, enter Sea Bed Elevation (Z), Vertical Semi-Axis (B) & Height of The Wave (H_w) and hit the calculate button. Here is how the Water Depth Given Minor Vertical Semi-Axis for Shallow Water Condition calculation can be explained with given input values -> 13.49398 = 0.8/((7.415/(14/2))-1).

FAQ

What is Water Depth Given Minor Vertical Semi-Axis for Shallow Water Condition?

The Water Depth Given Minor Vertical Semi-Axis for Shallow Water Condition formula is defined as total depth of water to any distance from bottom, when we have information about minor vertical semi axis for shallow water and is represented as d_s = Z/((B/(H_w/2))-1) or Water Depth for Semi-Axis of Ellipse = Sea Bed Elevation/((Vertical Semi-Axis/(Height of The Wave/2))-1). 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, Vertical Semi-Axis refers to a geometric property of an object or structure & Height of The Wave is the difference between the elevations of a crest and a neighboring trough.

How to calculate Water Depth Given Minor Vertical Semi-Axis for Shallow Water Condition?

The Water Depth Given Minor Vertical Semi-Axis for Shallow Water Condition formula is defined as total depth of water to any distance from bottom, when we have information about minor vertical semi axis for shallow water is calculated using Water Depth for Semi-Axis of Ellipse = Sea Bed Elevation/((Vertical Semi-Axis/(Height of The Wave/2))-1). To calculate Water Depth Given Minor Vertical Semi-Axis for Shallow Water Condition, you need Sea Bed Elevation (Z), Vertical Semi-Axis (B) & Height of The Wave (H_w). With our tool, you need to enter the respective value for Sea Bed Elevation, Vertical Semi-Axis & 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.

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 Sea Bed Elevation, Vertical Semi-Axis & Height of The Wave. We can use 1 other way(s) to calculate the same, which is/are as follows -

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

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