Water Surface Elevation of Two Sinusoidal Wave Calculator

✖Wave Height is the vertical distance between the crest and the trough of a wave. Higher wave heights correspond to greater wave forces, which leads to increased structural loading.ⓘ Wave Height [H]			+10% -10%
✖Spatial Progressive Wave induce fluctuating pressures on submerged surfaces, leading to erosion, scouring, or structural instability if not properly accounted for in design and analysis.ⓘ Spatial Progressive Wave [x]			+10% -10%
✖Wavelength of Component Wave 1 is the distance between successive peaks of the first component wave in a wave spectrum. It influence the performance of structures in response to wave action.ⓘ Wavelength of Component Wave 1 [L1]			+10% -10%
✖Temporal Progressive Wave describes the dynamic changes in pressure exerted by waves on submerged structures or within porous coastal sediments over time.ⓘ Temporal Progressive Wave [t]			+10% -10%
✖Wave Period of Component Wave 1 is the time it takes for one complete cycle of a specific wave within a wave spectrum. It influences the pressure fluctuations experienced by submerged structures.ⓘ Wave Period of Component Wave 1 [T₁]			+10% -10%
✖Wavelength of Component Wave 2 is the distance between successive peaks or troughs of the second component wave in a wave spectrum. It is crucial for analyzing subsurface pressure.ⓘ Wavelength of Component Wave 2 [L2]			+10% -10%
✖Wave Period of Component Wave 2 is the time it takes for the second most dominant wave to complete one full cycle. It is crucial for analyzing the subsurface pressure distribution.ⓘ Wave Period of Component Wave 2 [T₂]			+10% -10%

✖Water Elevation is the height or level of water relative to a specified reference point. It's a crucial parameter in understanding the behavior of coastal and ocean environments.ⓘ Water Surface Elevation of Two Sinusoidal Wave [η^'']

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Water Surface Elevation of Two Sinusoidal Wave Solution

STEP 0: Pre-Calculation Summary

Formula Used

Water Elevation = (Wave Height/2)*cos((2*pi*Spatial Progressive Wave/Wavelength of Component Wave 1)-(2*pi*Temporal Progressive Wave/Wave Period of Component Wave 1))+(Wave Height/2)*cos((2*pi*Spatial Progressive Wave/Wavelength of Component Wave 2)-(2*pi*Temporal Progressive Wave/Wave Period of Component Wave 2))
η^'' = (H/2)*cos((2*pi*x/L1)-(2*pi*t/T₁))+(H/2)*cos((2*pi*x/L2)-(2*pi*t/T₂))
This formula uses 1 Constants, 1 Functions, 8 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Functions Used

cos - Cosine of an angle is the ratio of the side adjacent to the angle to the hypotenuse of the triangle., cos(Angle)

Variables Used

Water Elevation - (Measured in Meter) - Water Elevation is the height or level of water relative to a specified reference point. It's a crucial parameter in understanding the behavior of coastal and ocean environments.
Wave Height - (Measured in Meter) - Wave Height is the vertical distance between the crest and the trough of a wave. Higher wave heights correspond to greater wave forces, which leads to increased structural loading.
Spatial Progressive Wave - Spatial Progressive Wave induce fluctuating pressures on submerged surfaces, leading to erosion, scouring, or structural instability if not properly accounted for in design and analysis.
Wavelength of Component Wave 1 - Wavelength of Component Wave 1 is the distance between successive peaks of the first component wave in a wave spectrum. It influence the performance of structures in response to wave action.
Temporal Progressive Wave - Temporal Progressive Wave describes the dynamic changes in pressure exerted by waves on submerged structures or within porous coastal sediments over time.
Wave Period of Component Wave 1 - (Measured in Second) - Wave Period of Component Wave 1 is the time it takes for one complete cycle of a specific wave within a wave spectrum. It influences the pressure fluctuations experienced by submerged structures.
Wavelength of Component Wave 2 - Wavelength of Component Wave 2 is the distance between successive peaks or troughs of the second component wave in a wave spectrum. It is crucial for analyzing subsurface pressure.
Wave Period of Component Wave 2 - (Measured in Second) - Wave Period of Component Wave 2 is the time it takes for the second most dominant wave to complete one full cycle. It is crucial for analyzing the subsurface pressure distribution.

STEP 1: Convert Input(s) to Base Unit

Wave Height: 3 Meter --> 3 Meter No Conversion Required
Spatial Progressive Wave: 50 --> No Conversion Required
Wavelength of Component Wave 1: 50 --> No Conversion Required
Temporal Progressive Wave: 24.99 --> No Conversion Required
Wave Period of Component Wave 1: 25 Second --> 25 Second No Conversion Required
Wavelength of Component Wave 2: 25 --> No Conversion Required
Wave Period of Component Wave 2: 100 Second --> 100 Second No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

η^'' = (H/2)*cos((2*pi*x/L1)-(2*pi*t/T₁))+(H/2)*cos((2*pi*x/L2)-(2*pi*t/T₂)) --> (3/2)*cos((2*pi*50/50)-(2*pi*24.99/25))+(3/2)*cos((2*pi*50/25)-(2*pi*24.99/100))

Evaluating ... ...

η^'' = 1.50093774032644

STEP 3: Convert Result to Output's Unit

1.50093774032644 Meter --> No Conversion Required

FINAL ANSWER

1.50093774032644 ≈ 1.500938 Meter <-- Water Elevation

(Calculation completed in 00.004 seconds)

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Home » Engineering » Civil » Coastal and Ocean Engineering » Water Wave Mechanics » Subsurface Pressure » Pressure Component » Water Surface Elevation of Two Sinusoidal Wave

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Created by Mithila Muthamma PA

Coorg Institute of Technology (CIT), Coorg

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< Pressure Component Calculators

Phase Angle for Total or Absolute Pressure

LaTeX Go Phase Angle = acos((Absolute Pressure+(Mass Density*[g]*Seabed Elevation)-(Atmospheric Pressure))/((Mass Density*[g]*Wave Height*cosh(2*pi*(Distance above the Bottom)/Wavelength))/(2*cosh(2*pi*Water Depth/Wavelength))))

Atmospheric Pressure given Total or Absolute Pressure

LaTeX Go Atmospheric Pressure = Absolute Pressure-(Mass Density*[g]*Wave Height*cosh(2*pi*(Distance above the Bottom)/Wavelength))*cos(Phase Angle)/(2*cosh(2*pi*Water Depth/Wavelength))+(Mass Density*[g]*Seabed Elevation)

Total or Absolute Pressure

LaTeX Go Absolute Pressure = (Mass Density*[g]*Wave Height*cosh(2*pi*(Distance above the Bottom)/Wavelength)*cos(Phase Angle)/2*cosh(2*pi*Water Depth/Wavelength))-(Mass Density*[g]*Seabed Elevation)+Atmospheric Pressure

Friction Velocity given Dimensionless Time

LaTeX Go Friction Velocity = ([g]*Time for Dimensionless Parameter Calculation)/Dimensionless Time

Water Surface Elevation of Two Sinusoidal Wave Formula

LaTeX Go

What are the characteristics of progressive waves?

A progressive wave is formed due to continuous vibration of the particles of the medium.
The wave travels with a certain velocity.
There is a flow of energy in the direction of the wave.
No particles in the medium are at rest.
The amplitude of all the particles is the same.

How to Calculate Water Surface Elevation of Two Sinusoidal Wave?

Water Surface Elevation of Two Sinusoidal Wave calculator uses Water Elevation = (Wave Height/2)*cos((2*pi*Spatial Progressive Wave/Wavelength of Component Wave 1)-(2*pi*Temporal Progressive Wave/Wave Period of Component Wave 1))+(Wave Height/2)*cos((2*pi*Spatial Progressive Wave/Wavelength of Component Wave 2)-(2*pi*Temporal Progressive Wave/Wave Period of Component Wave 2)) to calculate the Water Elevation, The Water Surface Elevation of Two Sinusoidal Wave Formula is defined as the height, in relation to mean sea level, of floods of various magnitudes and frequencies in the floodplains of coastal or riverine areas. Water Elevation is denoted by η^'' symbol.

How to calculate Water Surface Elevation of Two Sinusoidal Wave using this online calculator? To use this online calculator for Water Surface Elevation of Two Sinusoidal Wave, enter Wave Height (H), Spatial Progressive Wave (x), Wavelength of Component Wave 1 (L1), Temporal Progressive Wave (t), Wave Period of Component Wave 1 (T₁), Wavelength of Component Wave 2 (L2) & Wave Period of Component Wave 2 (T₂) and hit the calculate button. Here is how the Water Surface Elevation of Two Sinusoidal Wave calculation can be explained with given input values -> 1.500938 = (3/2)*cos((2*pi*50/50)-(2*pi*24.99/25))+(3/2)*cos((2*pi*50/25)-(2*pi*24.99/100)).

FAQ

What is Water Surface Elevation of Two Sinusoidal Wave?

The Water Surface Elevation of Two Sinusoidal Wave Formula is defined as the height, in relation to mean sea level, of floods of various magnitudes and frequencies in the floodplains of coastal or riverine areas and is represented as η^'' = (H/2)*cos((2*pi*x/L1)-(2*pi*t/T₁))+(H/2)*cos((2*pi*x/L2)-(2*pi*t/T₂)) or Water Elevation = (Wave Height/2)*cos((2*pi*Spatial Progressive Wave/Wavelength of Component Wave 1)-(2*pi*Temporal Progressive Wave/Wave Period of Component Wave 1))+(Wave Height/2)*cos((2*pi*Spatial Progressive Wave/Wavelength of Component Wave 2)-(2*pi*Temporal Progressive Wave/Wave Period of Component Wave 2)). Wave Height is the vertical distance between the crest and the trough of a wave. Higher wave heights correspond to greater wave forces, which leads to increased structural loading, Spatial Progressive Wave induce fluctuating pressures on submerged surfaces, leading to erosion, scouring, or structural instability if not properly accounted for in design and analysis, Wavelength of Component Wave 1 is the distance between successive peaks of the first component wave in a wave spectrum. It influence the performance of structures in response to wave action, Temporal Progressive Wave describes the dynamic changes in pressure exerted by waves on submerged structures or within porous coastal sediments over time, Wave Period of Component Wave 1 is the time it takes for one complete cycle of a specific wave within a wave spectrum. It influences the pressure fluctuations experienced by submerged structures, Wavelength of Component Wave 2 is the distance between successive peaks or troughs of the second component wave in a wave spectrum. It is crucial for analyzing subsurface pressure & Wave Period of Component Wave 2 is the time it takes for the second most dominant wave to complete one full cycle. It is crucial for analyzing the subsurface pressure distribution.

How to calculate Water Surface Elevation of Two Sinusoidal Wave?

The Water Surface Elevation of Two Sinusoidal Wave Formula is defined as the height, in relation to mean sea level, of floods of various magnitudes and frequencies in the floodplains of coastal or riverine areas is calculated using Water Elevation = (Wave Height/2)*cos((2*pi*Spatial Progressive Wave/Wavelength of Component Wave 1)-(2*pi*Temporal Progressive Wave/Wave Period of Component Wave 1))+(Wave Height/2)*cos((2*pi*Spatial Progressive Wave/Wavelength of Component Wave 2)-(2*pi*Temporal Progressive Wave/Wave Period of Component Wave 2)). To calculate Water Surface Elevation of Two Sinusoidal Wave, you need Wave Height (H), Spatial Progressive Wave (x), Wavelength of Component Wave 1 (L1), Temporal Progressive Wave (t), Wave Period of Component Wave 1 (T₁), Wavelength of Component Wave 2 (L2) & Wave Period of Component Wave 2 (T₂). With our tool, you need to enter the respective value for Wave Height, Spatial Progressive Wave, Wavelength of Component Wave 1, Temporal Progressive Wave, Wave Period of Component Wave 1, Wavelength of Component Wave 2 & Wave Period of Component Wave 2 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 Elevation?

In this formula, Water Elevation uses Wave Height, Spatial Progressive Wave, Wavelength of Component Wave 1, Temporal Progressive Wave, Wave Period of Component Wave 1, Wavelength of Component Wave 2 & Wave Period of Component Wave 2. We can use 1 other way(s) to calculate the same, which is/are as follows -

Water Elevation = (Wave Height/2)*cos(Phase Angle)

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