Wave height for local fluid particle acceleration of horizontal component Solution

STEP 0: Pre-Calculation Summary
Formula Used
Wave Height = Local Fluid Particle Acceleration*Wavelength*cosh(2*pi*Water Depth/Wavelength)/([g]*pi*cosh(2*pi*(Distance above the Bottom)/Wavelength)*sin(Phase Angle))
H = αx/y*λ*cosh(2*pi*D/λ)/([g]*pi*cosh(2*pi*(DZ+d)/λ)*sin(θ))
This formula uses 2 Constants, 2 Functions, 6 Variables
Constants Used
[g] - Gravitational acceleration on Earth Value Taken As 9.80665
pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288
Functions Used
sin - Sine is a trigonometric function that describes the ratio of the length of the opposite side of a right triangle to the length of the hypotenuse., sin(Angle)
cosh - The hyperbolic cosine function is a mathematical function that is defined as the ratio of the sum of the exponential functions of x and negative x to 2., cosh(Number)
Variables Used
Wave Height - (Measured in Meter) - Wave Height of a surface wave is the difference between the elevations of a crest and a neighboring trough.
Local Fluid Particle Acceleration - (Measured in Meter per Second) - Local Fluid Particle Acceleration [length/time2] in either x or y directions of the horizontal and vertical components in the fluid.
Wavelength - (Measured in Meter) - Wavelength can be defined as the distance between two successive crests or troughs of a wave.
Water Depth - (Measured in Meter) - Water depth means the depth as measured from the water level to the bottom of the considered water body.
Distance above the Bottom - (Measured in Meter) - Distance above the Bottom expressing the local fluid velocity component.
Phase Angle - (Measured in Radian) - Phase Angle characteristic of a periodic wave. The angular component periodic wave is known as the phase angle. It is a complex quantity measured by angular units like radians or degrees.
STEP 1: Convert Input(s) to Base Unit
Local Fluid Particle Acceleration: 0.21 Meter per Second --> 0.21 Meter per Second No Conversion Required
Wavelength: 26.8 Meter --> 26.8 Meter No Conversion Required
Water Depth: 12 Meter --> 12 Meter No Conversion Required
Distance above the Bottom: 2 Meter --> 2 Meter No Conversion Required
Phase Angle: 30 Degree --> 0.5235987755982 Radian (Check conversion here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
H = αx/y*λ*cosh(2*pi*D/λ)/([g]*pi*cosh(2*pi*(DZ+d)/λ)*sin(θ)) --> 0.21*26.8*cosh(2*pi*12/26.8)/([g]*pi*cosh(2*pi*(2)/26.8)*sin(0.5235987755982))
Evaluating ... ...
H = 2.74779770791893
STEP 3: Convert Result to Output's Unit
2.74779770791893 Meter --> No Conversion Required
FINAL ANSWER
2.74779770791893 2.747798 Meter <-- Wave Height
(Calculation completed in 00.019 seconds)

Credits

Created by Mithila Muthamma PA
Coorg Institute of Technology (CIT), Coorg
Mithila Muthamma PA has created this Calculator and 2000+ more calculators!
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NSS College of Engineering (NSSCE), Palakkad
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20 Wave Height Calculators

Wave Height for Horizontal Fluid Particle Displacements
Go Wave Height = -Fluid Particle Displacements*(4*pi*Wavelength)*(cosh(2*pi*Water Depth/Wavelength))/([g]*Wave Period^2)*((cosh(2*pi*(Distance above the Bottom)/Wavelength)))*sin(Phase Angle)
Wave Height for Vertical Fluid Particle Displacements
Go Wave Height = Fluid Particle Displacements*(4*pi*Wavelength)*cosh(2*pi*Water Depth/Wavelength)/([g]*Wave Period^2*sinh(2*pi*(Distance above the Bottom)/Wavelength)*cos(Phase Angle))
Wave Height for Vertical Component of Local Fluid Velocity
Go Wave Height = (Vertical Component of Velocity*2*Wavelength)*cosh(2*pi*Water Depth/Wavelength)/([g]*Wave Period*sinh(2*pi*(Distance above the Bottom)/Wavelength)*sin(Phase Angle))
Wave Height for Horizontal Component of Local Fluid Velocity
Go Wave Height = Water Particle Velocity*2*Wavelength*cosh(2*pi*Depth of Water Wave/Wavelength)/([g]*Wave Period*cosh(2*pi*(Distance above the Bottom)/Wavelength)*cos(Phase Angle))
Wave height for local fluid particle acceleration of vertical component
Go Wave Height = -(Local Fluid Particle Acceleration*Wavelength*cosh(2*pi*Water Depth/Wavelength)/([g]*pi*sinh(2*pi*(Distance above the Bottom)/Wavelength)*cos(Phase Angle)))
Wave height for local fluid particle acceleration of horizontal component
Go Wave Height = Local Fluid Particle Acceleration*Wavelength*cosh(2*pi*Water Depth/Wavelength)/([g]*pi*cosh(2*pi*(Distance above the Bottom)/Wavelength)*sin(Phase Angle))
Wave Height for simplified horizontal fluid particle displacements
Go Wave Height = -Fluid Particle Displacements*2*sinh(2*pi*Water Depth/Wavelength)/cosh(2*pi*(Distance above the Bottom)/Wavelength)*sin(Phase Angle)
Wave Height for simplified vertical fluid particle displacements
Go Wave Height = Fluid Particle Displacements*2*sinh(2*pi*Water Depth/Wavelength)/sinh(2*pi*(Distance above the Bottom)/Wavelength)*cos(Phase Angle)
Wave height for major horizontal semi-axis given wavelength and wave height
Go Wave Height = Horizontal Semi-axis of water particle*2*sinh(2*pi*Depth of Water Wave/Wavelength)/cosh(2*pi*(Distance above the Bottom)/Wavelength)
Wave height for minor vertical semi-axis given wavelength, wave height and water depth
Go Wave Height = Vertical Semi-axis*2*sinh(2*pi*Depth of Water Wave/Wavelength)/sinh(2*pi*(Distance above the Bottom)/Wavelength)
Wave Height represented by Rayleigh Distribution
Go Individual Wave Height = (2*Wave Height/RMS of all measured Wave Heights^2)*exp(-(Wave Height^2/RMS of all measured Wave Heights^2))
Wave Height represented by Rayleigh Distribution under Narrow Band Condition
Go Individual Wave Height = 1-exp(-Wave Height^2/RMS of all measured Wave Heights^2)
Mean Wave Period given Maximum Wave Period
Go Mean Wave Period = Maximum Wave Period/Coefficient Eckman
Wave Height given wave steepness
Go Wave Height = Wave Steepness*Wavelength
Wavelength given wave steepness
Go Wavelength = Wave Height/Wave Steepness
Significant Wave Height given Wave Period for North Sea
Go Significant Wave Height = (Wave Period/3.94)^1/0.376
Maximum Wave Height
Go Maximum Wave Height = 1.86*Significant Wave Height
Wave Height given Wave Period for Mediterranean Sea
Go Wave Height = ((Wave Period-4)/2)^(1/0.7)
Wave Height given Wave Amplitude
Go Wave Height = 2*Wave Amplitude
Wave Height given Wave Period for North Atlantic Ocean
Go Wave Height = Wave Period/2.5

Wave height for local fluid particle acceleration of horizontal component Formula

Wave Height = Local Fluid Particle Acceleration*Wavelength*cosh(2*pi*Water Depth/Wavelength)/([g]*pi*cosh(2*pi*(Distance above the Bottom)/Wavelength)*sin(Phase Angle))
H = αx/y*λ*cosh(2*pi*D/λ)/([g]*pi*cosh(2*pi*(DZ+d)/λ)*sin(θ))

How does depth affect wavelength?

The change from deep to shallow water waves occurs when the depth of the water, d, becomes less than one half of the wavelength of the wave, λ. The speed of deep-water waves depends on the wavelength of the waves. We say that deep-water waves show dispersion. A wave with a longer wavelength travels at higher speed.

How to Calculate Wave height for local fluid particle acceleration of horizontal component?

Wave height for local fluid particle acceleration of horizontal component calculator uses Wave Height = Local Fluid Particle Acceleration*Wavelength*cosh(2*pi*Water Depth/Wavelength)/([g]*pi*cosh(2*pi*(Distance above the Bottom)/Wavelength)*sin(Phase Angle)) to calculate the Wave Height, The Wave height for local fluid particle acceleration of horizontal component of a surface wave is 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. Wave Height is denoted by H symbol.

How to calculate Wave height for local fluid particle acceleration of horizontal component using this online calculator? To use this online calculator for Wave height for local fluid particle acceleration of horizontal component, enter Local Fluid Particle Acceleration x/y), Wavelength (λ), Water Depth (D), Distance above the Bottom (DZ+d) & Phase Angle (θ) and hit the calculate button. Here is how the Wave height for local fluid particle acceleration of horizontal component calculation can be explained with given input values -> 2.747798 = 0.21*26.8*cosh(2*pi*12/26.8)/([g]*pi*cosh(2*pi*(2)/26.8)*sin(0.5235987755982)).

FAQ

What is Wave height for local fluid particle acceleration of horizontal component?
The Wave height for local fluid particle acceleration of horizontal component of a surface wave is 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 = αx/y*λ*cosh(2*pi*D/λ)/([g]*pi*cosh(2*pi*(DZ+d)/λ)*sin(θ)) or Wave Height = Local Fluid Particle Acceleration*Wavelength*cosh(2*pi*Water Depth/Wavelength)/([g]*pi*cosh(2*pi*(Distance above the Bottom)/Wavelength)*sin(Phase Angle)). Local Fluid Particle Acceleration [length/time2] in either x or y directions of the horizontal and vertical components in the fluid, Wavelength can be defined as the distance between two successive crests or troughs of a wave, Water depth means the depth as measured from the water level to the bottom of the considered water body, Distance above the Bottom expressing the local fluid velocity component & Phase Angle characteristic of a periodic wave. The angular component periodic wave is known as the phase angle. It is a complex quantity measured by angular units like radians or degrees.
How to calculate Wave height for local fluid particle acceleration of horizontal component?
The Wave height for local fluid particle acceleration of horizontal component of a surface wave is 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 Wave Height = Local Fluid Particle Acceleration*Wavelength*cosh(2*pi*Water Depth/Wavelength)/([g]*pi*cosh(2*pi*(Distance above the Bottom)/Wavelength)*sin(Phase Angle)). To calculate Wave height for local fluid particle acceleration of horizontal component, you need Local Fluid Particle Acceleration x/y), Wavelength (λ), Water Depth (D), Distance above the Bottom (DZ+d) & Phase Angle (θ). With our tool, you need to enter the respective value for Local Fluid Particle Acceleration, Wavelength, Water Depth, Distance above the Bottom & 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 Wave Height?
In this formula, Wave Height uses Local Fluid Particle Acceleration, Wavelength, Water Depth, Distance above the Bottom & Phase Angle. We can use 13 other way(s) to calculate the same, which is/are as follows -
  • Wave Height = 2*Wave Amplitude
  • Wave Height = Wave Steepness*Wavelength
  • Wave Height = -Fluid Particle Displacements*(4*pi*Wavelength)*(cosh(2*pi*Water Depth/Wavelength))/([g]*Wave Period^2)*((cosh(2*pi*(Distance above the Bottom)/Wavelength)))*sin(Phase Angle)
  • Wave Height = Fluid Particle Displacements*(4*pi*Wavelength)*cosh(2*pi*Water Depth/Wavelength)/([g]*Wave Period^2*sinh(2*pi*(Distance above the Bottom)/Wavelength)*cos(Phase Angle))
  • Wave Height = Water Particle Velocity*2*Wavelength*cosh(2*pi*Depth of Water Wave/Wavelength)/([g]*Wave Period*cosh(2*pi*(Distance above the Bottom)/Wavelength)*cos(Phase Angle))
  • Wave Height = (Vertical Component of Velocity*2*Wavelength)*cosh(2*pi*Water Depth/Wavelength)/([g]*Wave Period*sinh(2*pi*(Distance above the Bottom)/Wavelength)*sin(Phase Angle))
  • Wave Height = -(Local Fluid Particle Acceleration*Wavelength*cosh(2*pi*Water Depth/Wavelength)/([g]*pi*sinh(2*pi*(Distance above the Bottom)/Wavelength)*cos(Phase Angle)))
  • Wave Height = Fluid Particle Displacements*2*sinh(2*pi*Water Depth/Wavelength)/sinh(2*pi*(Distance above the Bottom)/Wavelength)*cos(Phase Angle)
  • Wave Height = -Fluid Particle Displacements*2*sinh(2*pi*Water Depth/Wavelength)/cosh(2*pi*(Distance above the Bottom)/Wavelength)*sin(Phase Angle)
  • Wave Height = Vertical Semi-axis*2*sinh(2*pi*Depth of Water Wave/Wavelength)/sinh(2*pi*(Distance above the Bottom)/Wavelength)
  • Wave Height = Horizontal Semi-axis of water particle*2*sinh(2*pi*Depth of Water Wave/Wavelength)/cosh(2*pi*(Distance above the Bottom)/Wavelength)
  • Wave Height = ((Wave Period-4)/2)^(1/0.7)
  • Wave Height = Wave Period/2.5
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