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Wave Height for Horizontal Component of Local Fluid Velocity Formula

GoWave Height given Wave Amplitude Formula

GoWave Height given Wave Steepness Formula

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Wave Height is the vertical distance between the trough (lowest point) and the crest (highest point) of a wave. The average height of the highest third of the waves in a given wave dataset. Check FAQs

H = u \cdot 2 \cdot λ \cdot \frac{\cosh (2 \cdot π \cdot \frac{d}{λ})}{[g] \cdot T p \cdot \cosh (2 \cdot π \cdot \frac{D Z+d}{λ}) \cdot \cos (θ)}

H - Wave Height?u - Water Particle Velocity?λ - Wavelength?d - Depth of Water Wave?T_p - Wave Period?D_Z+d - Distance above Bottom?θ - Phase Angle?[g] - Gravitational acceleration on Earth?π - Archimedes' constant?

Wave Height for Horizontal Component of Local Fluid Velocity Example

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Here is how the Wave Height for Horizontal Component of Local Fluid Velocity equation looks like with Values.

Here is how the Wave Height for Horizontal Component of Local Fluid Velocity equation looks like with Units.

Here is how the Wave Height for Horizontal Component of Local Fluid Velocity equation looks like.

3.054 = 50 \cdot 2 \cdot 26.8 \cdot \frac{\cosh (2 \cdot 3.1416 \cdot \frac{0.9}{26.8})}{9.8066 \cdot 95 \cdot \cosh (2 \cdot 3.1416 \cdot \frac{2}{26.8}) \cdot \cos (30)}

3.054m = 50m/s \cdot 2 \cdot 26.8m \cdot \frac{\cosh (2 \cdot 3.1416 \cdot \frac{0.9m}{26.8m})}{9.8066m/s² \cdot 95s \cdot \cosh (2 \cdot 3.1416 \cdot \frac{2m}{26.8m}) \cdot \cos (30°)}

3.054 = 50 \cdot 2 \cdot 26.8 \cdot \frac{\cosh (2 \cdot 3.1416 \cdot \frac{0.9}{26.8})}{9.8066 \cdot 95 \cdot \cosh (2 \cdot 3.1416 \cdot \frac{2}{26.8}) \cdot \cos (30)}

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Wave Height for Horizontal Component of Local Fluid Velocity Solution

Follow our step by step solution on how to calculate Wave Height for Horizontal Component of Local Fluid Velocity?

FIRST Step Consider the formula

H = u \cdot 2 \cdot λ \cdot \frac{\cosh (2 \cdot π \cdot \frac{d}{λ})}{[g] \cdot T p \cdot \cosh (2 \cdot π \cdot \frac{D Z+d}{λ}) \cdot \cos (θ)}

Next Step Substitute values of Variables

∴

H = 50m/s \cdot 2 \cdot 26.8m \cdot \frac{\cosh (2 \cdot π \cdot \frac{0.9m}{26.8m})}{[g] \cdot 95s \cdot \cosh (2 \cdot π \cdot \frac{2m}{26.8m}) \cdot \cos (30°)}

Next Step Substitute values of Constants

∴

H = 50m/s \cdot 2 \cdot 26.8m \cdot \frac{\cosh (2 \cdot 3.1416 \cdot \frac{0.9m}{26.8m})}{9.8066m/s² \cdot 95s \cdot \cosh (2 \cdot 3.1416 \cdot \frac{2m}{26.8m}) \cdot \cos (30°)}

Next Step Convert Units

∴

H = 50m/s \cdot 2 \cdot 26.8m \cdot \frac{\cosh (2 \cdot 3.1416 \cdot \frac{0.9m}{26.8m})}{9.8066m/s² \cdot 95s \cdot \cosh (2 \cdot 3.1416 \cdot \frac{2m}{26.8m}) \cdot \cos (0.5236rad)}

Next Step Prepare to Evaluate

∴

H = 50 \cdot 2 \cdot 26.8 \cdot \frac{\cosh (2 \cdot 3.1416 \cdot \frac{0.9}{26.8})}{9.8066 \cdot 95 \cdot \cosh (2 \cdot 3.1416 \cdot \frac{2}{26.8}) \cdot \cos (0.5236)}

Next Step Evaluate

∴

H = 3.05399048326168m

LAST Step Rounding Answer

∴

H = 3.054m

Wave Height for Horizontal Component of Local Fluid Velocity Formula Elements

Variables

Constants

Functions

Wave Height

Wave Height is the vertical distance between the trough (lowest point) and the crest (highest point) of a wave. The average height of the highest third of the waves in a given wave dataset.

Symbol: H

Measurement: LengthUnit: m

Note: Value can be positive or negative.

Formulas to find Wave Height

Water Particle Velocity

Water Particle Velocity is the speed at which water particles move due to wave motion or currents. This movement typically decreases with depth below the surface.

Symbol: u

Measurement: SpeedUnit: m/s

Note: Value should be greater than 0.

Formulas to find Water Particle Velocity

Wavelength

Wavelength is the horizontal distance between successive crests (or troughs) of a wave. It provides crucial information about the size and shape of waves propagating in water bodies.

Symbol: λ

Measurement: LengthUnit: m

Note: Value can be positive or negative.

Formulas to find Wavelength

Depth of Water Wave

Depth of Water Wave is the vertical distance from the still water level to the seabed, specifically related to the depth at which the water particle motion due to the wave becomes negligible.

Symbol: d

Measurement: LengthUnit: m

Note: Value can be positive or negative.

Formulas to find Depth of Water Wave

Wave Period

Wave Period is the time interval between successive crests (or troughs) of waves passing a fixed point. The period of a wave is directly related to its energy content.

Symbol: T_p

Measurement: TimeUnit: s

Note: Value should be greater than 0.

Formulas to find Wave Period

Distance above Bottom

Distance above Bottom is the vertical distance measured from the seabed or the ocean floor to a specific point in the water column.

Symbol: D_Z+d

Measurement: LengthUnit: m

Note: Value can be positive or negative.

Formulas to find Distance above Bottom

Phase Angle

Phase Angle is a measure of the displacement between the peaks, troughs, or any specific point of a wave cycle compared to a reference point.

Symbol: θ

Measurement: AngleUnit: °

Note: Value can be positive or negative.

Formulas to find Phase Angle

Gravitational acceleration on Earth

Gravitational acceleration on Earth means that the velocity of an object in free fall will increase by 9.8 m/s2 every second.

Symbol: [g]

Value: 9.80665 m/s²

Archimedes' constant

Archimedes' constant is a mathematical constant that represents the ratio of the circumference of a circle to its diameter.

Symbol: π

Value: 3.14159265358979323846264338327950288

cos

Cosine of an angle is the ratio of the side adjacent to the angle to the hypotenuse of the triangle.

Syntax: cos(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.

Syntax: cosh(Number)

Other Formulas to find Wave Height

Go Wave Height given Wave Amplitude

H = 2 \cdot a

Go Wave Height given Wave Steepness

H = ε s \cdot λ

Other formulas in Wave Height category

Go Wave Height for Vertical Fluid Particle Displacement

H' = ε \cdot (4 \cdot π \cdot λ) \cdot \frac{\cosh (2 \cdot π \cdot \frac{D}{λ})}{[g] \cdot {T p}^{2} \cdot \sinh (2 \cdot π \cdot \frac{D Z+d}{λ}) \cdot \cos (θ)}

Go Significant Wave Height given Wave Period for North Sea

H s = {(\frac{T NS}{3.94})}^{\frac{1}{0.376}}

How to Evaluate Wave Height for Horizontal Component of Local Fluid Velocity?

Wave Height for Horizontal Component of Local Fluid Velocity evaluator uses Wave Height = Water Particle Velocity*2*Wavelength*cosh(2*pi*Depth of Water Wave/Wavelength)/([g]*Wave Period*cosh(2*pi*(Distance above Bottom)/Wavelength)*cos(Phase Angle)) to evaluate the Wave Height, The Wave Height for Horizontal Component of Local Fluid Velocity formula is defined as the vertical distance between the trough (lowest point) and the crest (highest point) of a wave. The average height of the highest third of the waves in a given wave dataset. Wave Height is denoted by H symbol.

How to evaluate Wave Height for Horizontal Component of Local Fluid Velocity using this online evaluator? To use this online evaluator for Wave Height for Horizontal Component of Local Fluid Velocity, enter Water Particle Velocity (u), Wavelength (λ), Depth of Water Wave (d), Wave Period (T_p), Distance above Bottom (D_Z+d) & Phase Angle (θ) and hit the calculate button.

FAQs on Wave Height for Horizontal Component of Local Fluid Velocity

What is the formula to find Wave Height for Horizontal Component of Local Fluid Velocity?

The formula of Wave Height for Horizontal Component of Local Fluid Velocity is expressed as Wave Height = Water Particle Velocity*2*Wavelength*cosh(2*pi*Depth of Water Wave/Wavelength)/([g]*Wave Period*cosh(2*pi*(Distance above Bottom)/Wavelength)*cos(Phase Angle)). Here is an example- -2.664696 = 50*2*26.8*cosh(2*pi*0.9/26.8)/([g]*95*cosh(2*pi*(2)/26.8)*cos(0.5235987755982)).

How to calculate Wave Height for Horizontal Component of Local Fluid Velocity?

With Water Particle Velocity (u), Wavelength (λ), Depth of Water Wave (d), Wave Period (T_p), Distance above Bottom (D_Z+d) & Phase Angle (θ) we can find Wave Height for Horizontal Component of Local Fluid Velocity using the formula - Wave Height = Water Particle Velocity*2*Wavelength*cosh(2*pi*Depth of Water Wave/Wavelength)/([g]*Wave Period*cosh(2*pi*(Distance above Bottom)/Wavelength)*cos(Phase Angle)). This formula also uses Gravitational acceleration on Earth, Archimedes' constant and , Cosine (cos), Hyperbolic Cosine (cosh) function(s).

What are the other ways to Calculate Wave Height?

Here are the different ways to Calculate Wave Height-

Wave Height=2*Wave Amplitude
Wave Height=Wave Steepness*Wavelength
Wave Height=Fluid Particle Displacement*(4*pi*Wavelength)*(cosh(2*pi*Water Depth/Wavelength))/([g]*Wave Period for Horizontal Fluid Particle^2)*((cosh(2*pi*(Distance above Bottom)/Wavelength)))*sin(Phase Angle)

Can the Wave Height for Horizontal Component of Local Fluid Velocity be negative?

Yes, the Wave Height for Horizontal Component of Local Fluid Velocity, measured in Length can be negative.

Which unit is used to measure Wave Height for Horizontal Component of Local Fluid Velocity?

Wave Height for Horizontal Component of Local Fluid Velocity is usually measured using the Meter[m] for Length. Millimeter[m], Kilometer[m], Decimeter[m] are the few other units in which Wave Height for Horizontal Component of Local Fluid Velocity can be measured.

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Wave Height for Horizontal Component of Local Fluid Velocity Formula

​GoWave Height given Wave Amplitude Formula

​GoWave Height given Wave Steepness Formula

Wave Height for Horizontal Component of Local Fluid Velocity Example

Wave Height for Horizontal Component of Local Fluid Velocity Solution

Wave Height for Horizontal Component of Local Fluid Velocity Formula Elements

Other Formulas to find Wave Height

Other formulas in Wave Height category

How to Evaluate Wave Height for Horizontal Component of Local Fluid Velocity?

FAQs on Wave Height for Horizontal Component of Local Fluid Velocity

Variable Name

GoWave Height given Wave Amplitude Formula

GoWave Height given Wave Steepness Formula