Elevation above Bottom given Pressure Beneath Solitary Wave Solution

STEP 0: Pre-Calculation Summary
Formula Used
Elevation above the Bottom = Ordinate of the Water Surface-(Pressure Under Wave/(Density of Salt Water*[g]))
y = ys-(p/(ρs*[g]))
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.
Ordinate of the Water Surface - Ordinate of the Water Surface is defined as the vertical distance between two points on the water plane.
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.
STEP 1: Convert Input(s) to Base Unit
Ordinate of the Water Surface: 5 --> No Conversion Required
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
STEP 2: Evaluate Formula
Substituting Input Values in Formula
y = ys-(p/(ρs*[g])) --> 5-(804.1453/(1025*[g]))
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 00.020 seconds)

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Coorg Institute of Technology (CIT), Coorg
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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)

Elevation above Bottom given Pressure Beneath Solitary Wave Formula

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

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 Elevation above Bottom given Pressure Beneath Solitary Wave?

Elevation above Bottom given Pressure Beneath Solitary Wave calculator uses Elevation above the Bottom = Ordinate of the Water Surface-(Pressure Under Wave/(Density of Salt Water*[g])) to calculate the Elevation above the Bottom, The Elevation above Bottom given Pressure Beneath Solitary Wave is defined as the height above the bottom, in relation to mean sea level, of floods of various magnitudes and frequencies in the floodplains of coastal or riverine areas. Elevation above the Bottom is denoted by y symbol.

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

FAQ

What is Elevation above Bottom given Pressure Beneath Solitary Wave?
The Elevation above Bottom given Pressure Beneath Solitary Wave is defined as the height above the bottom, 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 y = ys-(p/(ρs*[g])) or Elevation above the Bottom = Ordinate of the Water Surface-(Pressure Under Wave/(Density of Salt Water*[g])). Ordinate of the Water Surface is defined as the vertical distance between two points on the water plane, 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.
How to calculate Elevation above Bottom given Pressure Beneath Solitary Wave?
The Elevation above Bottom given Pressure Beneath Solitary Wave is defined as the height above the bottom, in relation to mean sea level, of floods of various magnitudes and frequencies in the floodplains of coastal or riverine areas is calculated using Elevation above the Bottom = Ordinate of the Water Surface-(Pressure Under Wave/(Density of Salt Water*[g])). To calculate Elevation above Bottom given Pressure Beneath Solitary Wave, you need Ordinate of the Water Surface (ys), Pressure Under Wave (p) & Density of Salt Water s). With our tool, you need to enter the respective value for Ordinate of the Water Surface, Pressure Under Wave & Density of Salt Water 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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