Wave Height Required to Produce Difference in Pressure on Seabed Calculator

✖Change in Pressure of Coast refers to the variation in water pressure at different depths or locations within a body of water, such as an ocean, sea, or coastal area.ⓘ Change in Pressure of Coast [ΔP_c]			+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%
✖Water Depth for Cnoidal Wave refers to the depth of the water in which the cnoidal wave is propagating.ⓘ Water Depth for Cnoidal Wave [d_c]			+10% -10%

✖Cnoidal Wave Height is the difference between the elevations of a crest and a neighboring trough of cnoidal wave.ⓘ Wave Height Required to Produce Difference in Pressure on Seabed [H_w']

⎘ Copy

👎

Formula

✖

Wave Height Required to Produce Difference in Pressure on Seabed

Formula

`"H"_{"w'"} = "ΔP"_{"c"}/(("ρ"_{"s"}*"[g]")*(0.5+(0.5*sqrt(1-((3*"ΔP"_{"c"})/("ρ"_{"s"}*"[g]"*"d"_{"c"}))))))`

Example

`"0.991152m"="9500Pa"/(("1025kg/m³"*"[g]")*(0.5+(0.5*sqrt(1-((3*"9500Pa")/("1025kg/m³"*"[g]"*"16m"))))))`

Calculator

LaTeX

Reset

👍

Download Coastal and Ocean Engineering Formula PDF

Wave Height Required to Produce Difference in Pressure on Seabed Solution

STEP 0: Pre-Calculation Summary

Formula Used

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))))))
H_w' = ΔP_c/((ρ_s*[g])*(0.5+(0.5*sqrt(1-((3*ΔP_c)/(ρ_s*[g]*d_c))))))
This formula uses 1 Constants, 1 Functions, 4 Variables

Constants Used

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

Functions Used

sqrt - A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number., sqrt(Number)

Variables Used

Cnoidal Wave Height - (Measured in Meter) - Cnoidal Wave Height is the difference between the elevations of a crest and a neighboring trough of cnoidal wave.
Change in Pressure of Coast - (Measured in Pascal) - Change in Pressure of Coast refers to the variation in water pressure at different depths or locations within a body of water, such as an ocean, sea, or coastal area.
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.
Water Depth for Cnoidal Wave - (Measured in Meter) - Water Depth for Cnoidal Wave refers to the depth of the water in which the cnoidal wave is propagating.

STEP 1: Convert Input(s) to Base Unit

Change in Pressure of Coast: 9500 Pascal --> 9500 Pascal No Conversion Required
Density of Salt Water: 1025 Kilogram per Cubic Meter --> 1025 Kilogram per Cubic Meter No Conversion Required
Water Depth for Cnoidal Wave: 16 Meter --> 16 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

H_w' = ΔP_c/((ρ_s*[g])*(0.5+(0.5*sqrt(1-((3*ΔP_c)/(ρ_s*[g]*d_c)))))) --> 9500/((1025*[g])*(0.5+(0.5*sqrt(1-((3*9500)/(1025*[g]*16))))))

Evaluating ... ...

H_w' = 0.991152001376416

STEP 3: Convert Result to Output's Unit

0.991152001376416 Meter --> No Conversion Required

FINAL ANSWER

0.991152001376416 ≈ 0.991152 Meter <-- Cnoidal Wave Height

(Calculation completed in 00.020 seconds)

You are here -

Home » Engineering » Civil » Coastal and Ocean Engineering » Water Wave Mechanics » Cnoidal Wave Theory » Wave Height Required to Produce Difference in Pressure on Seabed

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!

< 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)

Wave Height Required to Produce Difference in Pressure on Seabed Formula

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 Wave Height Required to Produce Difference in Pressure on Seabed?

Wave Height Required to Produce Difference in Pressure on Seabed calculator uses 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)))))) to calculate the Cnoidal Wave Height, The Wave Height Required to Produce Difference in Pressure on Seabed is defined as the difference between the elevations of a crest and a neighboring trough. Wave height is a term used by mariners, as well as in coastal, ocean and naval engineering. Cnoidal Wave Height is denoted by H_w' symbol.

How to calculate Wave Height Required to Produce Difference in Pressure on Seabed using this online calculator? To use this online calculator for Wave Height Required to Produce Difference in Pressure on Seabed, enter Change in Pressure of Coast (ΔP_c), Density of Salt Water (ρ_s) & Water Depth for Cnoidal Wave (d_c) and hit the calculate button. Here is how the Wave Height Required to Produce Difference in Pressure on Seabed calculation can be explained with given input values -> 0.991152 = 9500/((1025*[g])*(0.5+(0.5*sqrt(1-((3*9500)/(1025*[g]*16)))))).

FAQ

What is Wave Height Required to Produce Difference in Pressure on Seabed?

The Wave Height Required to Produce Difference in Pressure on Seabed is defined as the difference between the elevations of a crest and a neighboring trough. Wave height is a term used by mariners, as well as in coastal, ocean and naval engineering and is represented as H_w' = ΔP_c/((ρ_s*[g])*(0.5+(0.5*sqrt(1-((3*ΔP_c)/(ρ_s*[g]*d_c)))))) or 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)))))). Change in Pressure of Coast refers to the variation in water pressure at different depths or locations within a body of water, such as an ocean, sea, or coastal area, The Density of Salt Water is the weight of the salt water per cubic meter volume. It is greater than density of pure water & Water Depth for Cnoidal Wave refers to the depth of the water in which the cnoidal wave is propagating.

How to calculate Wave Height Required to Produce Difference in Pressure on Seabed?

The Wave Height Required to Produce Difference in Pressure on Seabed is defined as the difference between the elevations of a crest and a neighboring trough. Wave height is a term used by mariners, as well as in coastal, ocean and naval engineering is calculated using 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)))))). To calculate Wave Height Required to Produce Difference in Pressure on Seabed, you need Change in Pressure of Coast (ΔP_c), Density of Salt Water (ρ_s) & Water Depth for Cnoidal Wave (d_c). With our tool, you need to enter the respective value for Change in Pressure of Coast, Density of Salt Water & Water Depth for Cnoidal Wave 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 Cnoidal Wave Height?

In this formula, Cnoidal Wave Height uses Change in Pressure of Coast, Density of Salt Water & Water Depth for Cnoidal Wave. We can use 1 other way(s) to calculate the same, which is/are as follows -

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

Home

FREE PDFs

🔍 Search