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 = Seabed Elevation/((Vertical Semi-axis/(Height of The Wave/2))-1)
ds = Z/((B/(Hw/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.
Seabed Elevation - Seabed Elevation of the catchment under consideration. Seabed is the bottom of the ocean.
Vertical Semi-axis - Vertical Semi-axis of an ellipse can be calculated in various ways.
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
Seabed 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
ds = Z/((B/(Hw/2))-1) --> 0.8/((7.415/(14/2))-1)
Evaluating ... ...
ds = 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 00.004 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)

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

Water Depth for Semi-Axis of Ellipse = Seabed Elevation/((Vertical Semi-axis/(Height of The Wave/2))-1)
ds = Z/((B/(Hw/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 = Seabed Elevation/((Vertical Semi-axis/(Height of The Wave/2))-1) to calculate the Water Depth for Semi-Axis of Ellipse, Water depth given minor vertical semi-axis for Shallow water Condition is defined as total depth of water to any distance from bottom. Water Depth for Semi-Axis of Ellipse is denoted by ds 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 Seabed Elevation (Z), Vertical Semi-axis (B) & Height of The Wave (Hw) 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?
Water depth given minor vertical semi-axis for Shallow water Condition is defined as total depth of water to any distance from bottom and is represented as ds = Z/((B/(Hw/2))-1) or Water Depth for Semi-Axis of Ellipse = Seabed Elevation/((Vertical Semi-axis/(Height of The Wave/2))-1). Seabed Elevation of the catchment under consideration. Seabed is the bottom of the ocean, Vertical Semi-axis of an ellipse can be calculated in various ways & 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?
Water depth given minor vertical semi-axis for Shallow water Condition is defined as total depth of water to any distance from bottom is calculated using Water Depth for Semi-Axis of Ellipse = Seabed 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 Seabed Elevation (Z), Vertical Semi-axis (B) & Height of The Wave (Hw). With our tool, you need to enter the respective value for Seabed 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 Seabed 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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