Elevation above Bottom given Pressure under Cnoidal Wave in Hydrostatic Form Calculator

✖Pressure Under Wave refers to the hydrodynamic pressure exerted by the water column due to the weight of the overlying water and the dynamic forces associated with the wave motion.ⓘ Pressure Under Wave [p]			+10% -10%
✖The Density of Salt Water is the weight of the salt water per cubic meter volume. It is greater than density of pure water.ⓘ Density of Salt Water [ρ_s]			+10% -10%
✖Ordinate of the Water Surface is defined as the vertical distance between two points on the water plane.ⓘ Ordinate of the Water Surface [y_s]			+10% -10%

✖Elevation above the Bottom refers to the height or depth of an object or feature above the seabed or ocean floor.ⓘ Elevation above Bottom given Pressure under Cnoidal Wave in Hydrostatic Form [y]

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Formula

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Elevation above Bottom given Pressure under Cnoidal Wave in Hydrostatic Form

Formula

`"y" = -(("p"/("ρ"_{"s"}*"[g]"))-"y"_{"s"})`

Example

`"4.92m"=-(("804.1453Pa"/("1025kg/m³"*"[g]"))-"5")`

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Elevation above Bottom given Pressure under Cnoidal Wave in Hydrostatic Form Solution

STEP 0: Pre-Calculation Summary

Formula Used

Elevation above the Bottom = -((Pressure Under Wave/(Density of Salt Water*[g]))-Ordinate of the Water Surface)
y = -((p/(ρ_s*[g]))-y_s)
This formula uses 1 Constants, 4 Variables

Constants Used

[g] - Gravitational acceleration on Earth Value Taken As 9.80665

Variables Used

Elevation above the Bottom - (Measured in Meter) - Elevation above the Bottom refers to the height or depth of an object or feature above the seabed or ocean floor.
Pressure Under Wave - (Measured in Pascal) - Pressure Under Wave refers to the hydrodynamic pressure exerted by the water column due to the weight of the overlying water and the dynamic forces associated with the wave motion.
Density of Salt Water - (Measured in Kilogram per Cubic Meter) - The Density of Salt Water is the weight of the salt water per cubic meter volume. It is greater than density of pure water.
Ordinate of the Water Surface - Ordinate of the Water Surface is defined as the vertical distance between two points on the water plane.

STEP 1: Convert Input(s) to Base Unit

Pressure Under Wave: 804.1453 Pascal --> 804.1453 Pascal No Conversion Required
Density of Salt Water: 1025 Kilogram per Cubic Meter --> 1025 Kilogram per Cubic Meter No Conversion Required
Ordinate of the Water Surface: 5 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

y = -((p/(ρ_s*[g]))-y_s) --> -((804.1453/(1025*[g]))-5)

Evaluating ... ...

y = 4.92

STEP 3: Convert Result to Output's Unit

4.92 Meter --> No Conversion Required

FINAL ANSWER

4.92 Meter <-- Elevation above the Bottom

(Calculation completed in 00.004 seconds)

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< 14 Cnoidal Wave Theory Calculators

Wavelength for Distance from Bottom to Wave Trough

Go Wavelength of Wave = sqrt((16*Water Depth for Cnoidal Wave^2*Complete Elliptic Integral of the First Kind*(Complete Elliptic Integral of the First Kind-Complete Elliptic Integral of the Second Kind))/(3*((Distance from the Bottom to the Wave Trough/Water Depth for Cnoidal Wave)+(Height of The Wave/Water Depth for Cnoidal Wave)-1)))

Complete Elliptic Integral of Second Kind

Go Complete Elliptic Integral of the Second Kind = -((((Distance from the Bottom to the Wave Trough/Water Depth for Cnoidal Wave)+(Height of The Wave/Water Depth for Cnoidal Wave)-1)*(3*Wavelength of Wave^2)/((16*Water Depth for Cnoidal Wave^2)*Complete Elliptic Integral of the First Kind))-Complete Elliptic Integral of the First Kind)

Wave Height given Distance from Bottom to Wave Trough and Water Depth

Go Height of The Wave = -Water Depth for Cnoidal Wave*((Distance from the Bottom to the Wave Trough/Water Depth for Cnoidal Wave)-1-((16*Water Depth for Cnoidal Wave^2/(3*Wavelength of Wave^2))*Complete Elliptic Integral of the First Kind*(Complete Elliptic Integral of the First Kind-Complete Elliptic Integral of the Second Kind)))

Wave Height Required to Produce Difference in Pressure on Seabed

Go Cnoidal Wave Height = Change in Pressure of Coast/((Density of Salt Water*[g])*(0.5+(0.5*sqrt(1-((3*Change in Pressure of Coast)/(Density of Salt Water*[g]*Water Depth for Cnoidal Wave))))))

Free Surface Elevation of Solitary Waves

Go Free Surface Elevation = Height of The Wave*(Particle Velocity/(sqrt([g]*Water Depth for Cnoidal Wave)*(Height of The Wave/Water Depth for Cnoidal Wave)))

Particle Velocities given Free Surface Elevation of Solitary Waves

Go Particle Velocity = Free Surface Elevation*sqrt([g]*Water Depth for Cnoidal Wave)*(Height of The Wave/Water Depth for Cnoidal Wave)/Height of The Wave

Distance from Bottom to Wave Trough

Go Distance from the Bottom to the Wave Trough = Water Depth for Cnoidal Wave*((Distance from the Bottom to the Crest/Water Depth for Cnoidal Wave)-(Height of The Wave/Water Depth for Cnoidal Wave))

Distance from Bottom to Crest

Go Distance from the Bottom to the Crest = Water Depth for Cnoidal Wave*((Distance from the Bottom to the Wave Trough/Water Depth for Cnoidal Wave)+(Height of The Wave/Water Depth for Cnoidal Wave))

Trough to Crest Wave Height

Go Height of The Wave = Water Depth for Cnoidal Wave*((Distance from the Bottom to the Crest/Water Depth for Cnoidal Wave)-(Distance from the Bottom to the Wave Trough/Water Depth for Cnoidal Wave))

Wave Height when Free Surface Elevation of Solitary Waves

Go Cnoidal Wave Height = Free Surface Elevation*sqrt([g]*Water Depth for Cnoidal Wave)/(Particle Velocity*Water Depth for Cnoidal Wave)

Wavelength for Complete Elliptic Integral of First Kind

Go Wavelength of Wave = sqrt(16*Water Depth for Cnoidal Wave^3/(3*Height of The Wave))*Modulus of the Elliptic Integrals*Complete Elliptic Integral of the First Kind

Elevation above Bottom given Pressure under Cnoidal Wave in Hydrostatic Form

Go Elevation above the Bottom = -((Pressure Under Wave/(Density of Salt Water*[g]))-Ordinate of the Water Surface)

Ordinate of Water Surface given Pressure under Cnoidal Wave in Hydrostatic Form

Go Ordinate of the Water Surface = (Pressure Under Wave/(Density of Salt Water*[g]))+Elevation above the Bottom

Pressure under Cnoidal Wave in Hydrostatic Form

Go Pressure Under Wave = Density of Salt Water*[g]*(Ordinate of the Water Surface-Elevation above the Bottom)

Elevation above Bottom given Pressure under Cnoidal Wave in Hydrostatic Form Formula

Elevation above the Bottom = -((Pressure Under Wave/(Density of Salt Water*[g]))-Ordinate of the Water Surface)
y = -((p/(ρ_s*[g]))-y_s)

What is Cnoidal Wave?

In fluid dynamics, a cnoidal wave is a nonlinear and exact periodic wave solution of the Korteweg–de Vries equation. These solutions are in terms of the Jacobi elliptic function cn, which is why they are coined cnoidal waves.

How to Calculate Elevation above Bottom given Pressure under Cnoidal Wave in Hydrostatic Form?

Elevation above Bottom given Pressure under Cnoidal Wave in Hydrostatic Form calculator uses Elevation above the Bottom = -((Pressure Under Wave/(Density of Salt Water*[g]))-Ordinate of the Water Surface) to calculate the Elevation above the Bottom, The Elevation above Bottom given Pressure under Cnoidal Wave in Hydrostatic Form is defined as the pressure under a cnoidal wave at any elevation y above the datum depends on the local fluid velocity. Elevation above the Bottom is denoted by y symbol.

How to calculate Elevation above Bottom given Pressure under Cnoidal Wave in Hydrostatic Form using this online calculator? To use this online calculator for Elevation above Bottom given Pressure under Cnoidal Wave in Hydrostatic Form, enter Pressure Under Wave (p), Density of Salt Water (ρ_s) & Ordinate of the Water Surface (y_s) and hit the calculate button. Here is how the Elevation above Bottom given Pressure under Cnoidal Wave in Hydrostatic Form calculation can be explained with given input values -> 4.92 = -((804.1453/(1025*[g]))-5).

FAQ

What is Elevation above Bottom given Pressure under Cnoidal Wave in Hydrostatic Form?

The Elevation above Bottom given Pressure under Cnoidal Wave in Hydrostatic Form is defined as the pressure under a cnoidal wave at any elevation y above the datum depends on the local fluid velocity and is represented as y = -((p/(ρ_s*[g]))-y_s) or Elevation above the Bottom = -((Pressure Under Wave/(Density of Salt Water*[g]))-Ordinate of the Water Surface). Pressure Under Wave refers to the hydrodynamic pressure exerted by the water column due to the weight of the overlying water and the dynamic forces associated with the wave motion, The Density of Salt Water is the weight of the salt water per cubic meter volume. It is greater than density of pure water & Ordinate of the Water Surface is defined as the vertical distance between two points on the water plane.

How to calculate Elevation above Bottom given Pressure under Cnoidal Wave in Hydrostatic Form?

The Elevation above Bottom given Pressure under Cnoidal Wave in Hydrostatic Form is defined as the pressure under a cnoidal wave at any elevation y above the datum depends on the local fluid velocity is calculated using Elevation above the Bottom = -((Pressure Under Wave/(Density of Salt Water*[g]))-Ordinate of the Water Surface). To calculate Elevation above Bottom given Pressure under Cnoidal Wave in Hydrostatic Form, you need Pressure Under Wave (p), Density of Salt Water (ρ_s) & Ordinate of the Water Surface (y_s). With our tool, you need to enter the respective value for Pressure Under Wave, Density of Salt Water & Ordinate of the Water Surface 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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