Water Surface Elevation 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%
✖Phase Angle is the angular displacement between the oscillations of water level and pore water pressure within the seabed or coastal structures.ⓘ Phase Angle [θ]			+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 [η^'']

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Water Surface Elevation Solution

STEP 0: Pre-Calculation Summary

Formula Used

Water Elevation = (Wave Height/2)*cos(Phase Angle)
η^'' = (H/2)*cos(θ)
This formula uses 1 Functions, 3 Variables

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.
Phase Angle - (Measured in Radian) - Phase Angle is the angular displacement between the oscillations of water level and pore water pressure within the seabed or coastal structures.

STEP 1: Convert Input(s) to Base Unit

Wave Height: 3 Meter --> 3 Meter No Conversion Required
Phase Angle: 60 Degree --> 1.0471975511964 Radian (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

η^'' = (H/2)*cos(θ) --> (3/2)*cos(1.0471975511964)

Evaluating ... ...

η^'' = 0.750000000000257

STEP 3: Convert Result to Output's Unit

0.750000000000257 Meter --> No Conversion Required

FINAL ANSWER

0.750000000000257 ≈ 0.75 Meter <-- Water Elevation

(Calculation completed in 00.004 seconds)

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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!

< 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 Formula

LaTeX Go

Water Elevation = (Wave Height/2)*cos(Phase Angle)
η^'' = (H/2)*cos(θ)

What is Wavelength?

Wavelength, distance between corresponding points of two consecutive waves. “Corresponding points” refers to two points or particles in the same phase i.e., points that have completed identical fractions of their periodic motion.

How to Calculate Water Surface Elevation?

Water Surface Elevation calculator uses Water Elevation = (Wave Height/2)*cos(Phase Angle) to calculate the Water Elevation, The Water Surface Elevation Formula is defined as the water level or stage, is a critical parameter it indicates the height of the water surface above a reference point, typically above sea level or a specified datum. Water Elevation is denoted by η^'' symbol.

How to calculate Water Surface Elevation using this online calculator? To use this online calculator for Water Surface Elevation, enter Wave Height (H) & Phase Angle (θ) and hit the calculate button. Here is how the Water Surface Elevation calculation can be explained with given input values -> 0.75 = (3/2)*cos(1.0471975511964).

FAQ

What is Water Surface Elevation?

The Water Surface Elevation Formula is defined as the water level or stage, is a critical parameter it indicates the height of the water surface above a reference point, typically above sea level or a specified datum and is represented as η^'' = (H/2)*cos(θ) or Water Elevation = (Wave Height/2)*cos(Phase Angle). 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 & Phase Angle is the angular displacement between the oscillations of water level and pore water pressure within the seabed or coastal structures.

How to calculate Water Surface Elevation?

The Water Surface Elevation Formula is defined as the water level or stage, is a critical parameter it indicates the height of the water surface above a reference point, typically above sea level or a specified datum is calculated using Water Elevation = (Wave Height/2)*cos(Phase Angle). To calculate Water Surface Elevation, you need Wave Height (H) & Phase Angle (θ). With our tool, you need to enter the respective value for Wave Height & Phase Angle 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 & Phase Angle. We can use 1 other way(s) to calculate the same, which is/are as follows -

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))

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