Pressure Beneath Solitary Wave Calculator

✖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 the Bottom [y]			+10% -10%

✖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 Beneath Solitary Wave [p]

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Formula

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Pressure Beneath Solitary Wave

Formula

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

Example

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

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Pressure Beneath Solitary Wave Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Constants Used

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

Variables Used

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.
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.

STEP 1: Convert Input(s) to Base Unit

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
Elevation above the Bottom: 4.92 Meter --> 4.92 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

p = ρ_s*[g]*(y_s-y) --> 1025*[g]*(5-4.92)

Evaluating ... ...

p = 804.145300000001

STEP 3: Convert Result to Output's Unit

804.145300000001 Pascal --> No Conversion Required

FINAL ANSWER

804.145300000001 ≈ 804.1453 Pascal <-- Pressure Under Wave

(Calculation completed in 00.008 seconds)

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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

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< 17 Solitary Wave Calculators

Wave Height of Unbroken Wave in Water of Finite Depth

Go Height of The Wave = Water Depth from Bed*(((0.141063*(Length of Water Wave/Water Depth from Bed))+(0.0095721*(Length of Water Wave/Water Depth from Bed)^2)+(0.0077829*(Length of Water Wave/Water Depth from Bed)^3))/(1+(0.078834*(Length of Water Wave/Water Depth from Bed))+(0.0317567*(Length of Water Wave/Water Depth from Bed)^2)+(0.0093407*(Length of Water Wave/Water Depth from Bed)^3)))*Solitary Wave Amplitude

Water Surface above Bottom

Go Water Surface Ordinate = Water Depth from Bed+Height of The Wave*(sech(sqrt((3/4)*(Height of The Wave/Water Depth from Bed^3))*(Spatial (Progressive Wave)-(Celerity of The Wave*Temporal (Progressive Wave)))))^2

Maximum Velocity of Solitary Wave

Go Maximum Velocity of Solitary Wave = (Celerity of The Wave*Function of H/d as N)/(1+cos(Function of H/d as M*Elevation above the Bottom/Water Depth from Bed))

Water Depth Given Total Wave Energy per Unit Crest Width of Solitary Wave

Go Water Depth from Bed = (Total Wave Energy per Unit Crest Width/((8/(3*sqrt(3)))*Density of Salt Water*[g]*Height of The Wave^(3/2)))^(2/3)

Wave Height for Total Wave Energy per Unit Crest Width of Solitary Wave

Go Height of The Wave = (Total Wave Energy per Unit Crest Width/((8/(3*sqrt(3)))*Density of Salt Water*[g]*Water Depth from Bed^(3/2)))^(2/3)

Total Wave Energy per Unit Crest Width of Solitary Wave

Go Total Wave Energy per Unit Crest Width = (8/(3*sqrt(3)))*Density of Salt Water*[g]*Height of The Wave^(3/2)*Water Depth from Bed^(3/2)

Water Surface above Bottom given Pressure Beneath Solitary Wave

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

Elevation above Bottom given Pressure Beneath Solitary Wave

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

Pressure Beneath Solitary Wave

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

Wavelength of Regions of Validity Stokes and Cnoidal Wave Theory

Go Water Wave Length = Water Depth from Bed*(21.5*exp(-1.87*(Height of The Wave/Water Depth from Bed)))

Celerity of Solitary Wave

Go Celerity of The Wave = sqrt([g]*(Height of The Wave+Water Depth from Bed))

Empirical Relationship between Slope and Breaker Height-to-Water Depth Ratio

Go Breaker Height-to-Water Depth Ratio = 0.75+(25*Wave Slope)-(112*Wave Slope^2)+(3870*Wave Slope^3)

Wave Height given Celerity of Solitary Wave

Go Height of The Wave = (Celerity of The Wave^2/[g])-Water Depth from Bed

Water Depth Given Celerity of Solitary Wave

Go Water Depth from Bed = (Celerity of The Wave^2/[g])-Height of The Wave

Water Depth Given Volume of Water within Wave above Still Water Level

Go Water Depth from Bed = ((Volume of Water per Unit Crest Width)^2/((16/3)*Height of The Wave))^(1/3)

Volume of Water above Still Water Level per Unit Crest Width

Go Volume of Water per Unit Crest Width = ((16/3)*Water Depth from Bed^3*Height of The Wave)^0.5

Wave Height Given Volume of Water within Wave above Still Water Level

Go Height of The Wave = Volume of Water per Unit Crest Width^2/((16/3)*Water Depth from Bed^3)

Pressure Beneath Solitary Wave Formula

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

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 Pressure Beneath Solitary Wave?

Pressure Beneath Solitary Wave calculator uses Pressure Under Wave = Density of Salt Water*[g]*(Ordinate of the Water Surface-Elevation above the Bottom) to calculate the Pressure Under Wave, The Pressure Beneath Solitary Wave is defined as the fluid velocity due to pressure under cnoidal wave. Pressure Under Wave is denoted by p symbol.

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

FAQ

What is Pressure Beneath Solitary Wave?

The Pressure Beneath Solitary Wave is defined as the fluid velocity due to pressure under cnoidal wave and is represented as p = ρ_s*[g]*(y_s-y) or Pressure Under Wave = Density of Salt Water*[g]*(Ordinate of the Water Surface-Elevation above the Bottom). 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 & Elevation above the Bottom refers to the height or depth of an object or feature above the seabed or ocean floor.

How to calculate Pressure Beneath Solitary Wave?

The Pressure Beneath Solitary Wave is defined as the fluid velocity due to pressure under cnoidal wave is calculated using Pressure Under Wave = Density of Salt Water*[g]*(Ordinate of the Water Surface-Elevation above the Bottom). To calculate Pressure Beneath Solitary Wave, you need Density of Salt Water (ρ_s), Ordinate of the Water Surface (y_s) & Elevation above the Bottom (y). With our tool, you need to enter the respective value for Density of Salt Water, Ordinate of the Water Surface & Elevation above the Bottom 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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