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Incident Wave Height given Surf Similarity Number or Iribarren Number Formula

GoIncident Wave Height given Water Surface Amplitude Formula

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Incident Wave Height is obtained as the arithmetic mean of the wave heights measured by two gauges separated by a quarter of a wavelength [length]. Check FAQs

H i = L o \cdot {(\frac{\tan (α)}{I r})}^{2}

H_i - Incident Wave Height?L_o - Incident Wave Length in Deepwater?α - Angle Sloped Plane forms with the Horizontal?I_r - Surf Similarity Number or Iribarren Number?

Incident Wave Height given Surf Similarity Number or Iribarren Number Example

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Here is how the Incident Wave Height given Surf Similarity Number or Iribarren Number equation looks like with Values.

Here is how the Incident Wave Height given Surf Similarity Number or Iribarren Number equation looks like with Units.

Here is how the Incident Wave Height given Surf Similarity Number or Iribarren Number equation looks like.

160.0785 = 16 \cdot {(\frac{\tan (16.725)}{0.095})}^{2}

160.0785m = 16m \cdot {(\frac{\tan (16.725°)}{0.095})}^{2}

160.0785 = 16 \cdot {(\frac{\tan (16.725)}{0.095})}^{2}

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Incident Wave Height given Surf Similarity Number or Iribarren Number Solution

Follow our step by step solution on how to calculate Incident Wave Height given Surf Similarity Number or Iribarren Number?

FIRST Step Consider the formula

H i = L o \cdot {(\frac{\tan (α)}{I r})}^{2}

Next Step Substitute values of Variables

∴

H i = 16m \cdot {(\frac{\tan (16.725°)}{0.095})}^{2}

Next Step Convert Units

∴

H i = 16m \cdot {(\frac{\tan (0.2919rad)}{0.095})}^{2}

Next Step Prepare to Evaluate

∴

H i = 16 \cdot {(\frac{\tan (0.2919)}{0.095})}^{2}

Next Step Evaluate

∴

H i = 160.078480319279m

LAST Step Rounding Answer

∴

H i = 160.0785m

Incident Wave Height given Surf Similarity Number or Iribarren Number Formula Elements

Variables

Functions

Incident Wave Height

Incident Wave Height is obtained as the arithmetic mean of the wave heights measured by two gauges separated by a quarter of a wavelength [length].

Symbol: H_i

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Incident Wave Height

Incident Wave Length in Deepwater

Incident Wave Length in Deepwater is the wave length of the wave that travels from the generating source towards the load.

Symbol: L_o

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Incident Wave Length in Deepwater

Angle Sloped Plane forms with the Horizontal

Angle Sloped Plane forms with the Horizontal is the inclination or tilt of the plane relative to the level ground.

Symbol: α

Measurement: AngleUnit: °

Note: Value should be greater than 0.

Formulas to find Angle Sloped Plane forms with the Horizontal

Surf Similarity Number or Iribarren Number

Surf Similarity Number or Iribarren Number is a dimensionless parameter used to model several effects of (breaking) surface gravity waves on beaches and coastal structures.

Symbol: I_r

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Surf Similarity Number or Iribarren Number

tan

The tangent of an angle is a trigonometric ratio of the length of the side opposite an angle to the length of the side adjacent to an angle in a right triangle.

Syntax: tan(Angle)

Other Formulas to find Incident Wave Height

Go Incident Wave Height given Water Surface Amplitude

H i = \frac{N}{\cos (\frac{2 \cdot π \cdot x}{L o}) \cdot \cos (\frac{2 \cdot π \cdot t}{T})}

Other formulas in Wave Transmission Coefficient and Water Surface Amplitude category

Go Wave Transmission Coefficient

C t = C \cdot (1 - (\frac{F}{R}))

Go Dimensionless Coefficient in Seelig Equation for Wave Transmission Coefficient

C = \frac{C t}{1 - (\frac{F}{R})}

Go Freeboard for given Wave Transmission Coefficient

F = R \cdot (1 - (\frac{C t}{C}))

Go Wave Runup above Mean Water Level for given Wave Transmission Coefficient

R = \frac{F}{1 - (\frac{C t}{C})}

How to Evaluate Incident Wave Height given Surf Similarity Number or Iribarren Number?

Incident Wave Height given Surf Similarity Number or Iribarren Number evaluator uses Incident Wave Height = Incident Wave Length in Deepwater*(tan(Angle Sloped Plane forms with the Horizontal)/Surf Similarity Number or Iribarren Number)^2 to evaluate the Incident Wave Height, The Incident Wave Height given Surf Similarity Number or Iribarren Number is defined as the arithmetic mean of the wave heights measured by two gauges separated a quarter of a wave length. Incident Wave Height is denoted by H_i symbol.

How to evaluate Incident Wave Height given Surf Similarity Number or Iribarren Number using this online evaluator? To use this online evaluator for Incident Wave Height given Surf Similarity Number or Iribarren Number, enter Incident Wave Length in Deepwater (L_o), Angle Sloped Plane forms with the Horizontal (α) & Surf Similarity Number or Iribarren Number (I_r) and hit the calculate button.

FAQs on Incident Wave Height given Surf Similarity Number or Iribarren Number

What is the formula to find Incident Wave Height given Surf Similarity Number or Iribarren Number?

The formula of Incident Wave Height given Surf Similarity Number or Iribarren Number is expressed as Incident Wave Height = Incident Wave Length in Deepwater*(tan(Angle Sloped Plane forms with the Horizontal)/Surf Similarity Number or Iribarren Number)^2. Here is an example- 159.5721 = 16*(tan(0.291906317395997)/0.095)^2.

How to calculate Incident Wave Height given Surf Similarity Number or Iribarren Number?

With Incident Wave Length in Deepwater (L_o), Angle Sloped Plane forms with the Horizontal (α) & Surf Similarity Number or Iribarren Number (I_r) we can find Incident Wave Height given Surf Similarity Number or Iribarren Number using the formula - Incident Wave Height = Incident Wave Length in Deepwater*(tan(Angle Sloped Plane forms with the Horizontal)/Surf Similarity Number or Iribarren Number)^2. This formula also uses Tangent function(s).

What are the other ways to Calculate Incident Wave Height?

Here are the different ways to Calculate Incident Wave Height-

Incident Wave Height=Water Surface Amplitude/(cos((2*pi*Horizontal Ordinate)/Incident Wave Length in Deepwater)*cos((2*pi*Time Elapsed)/Reflected Wave Period))

Can the Incident Wave Height given Surf Similarity Number or Iribarren Number be negative?

No, the Incident Wave Height given Surf Similarity Number or Iribarren Number, measured in Length cannot be negative.

Which unit is used to measure Incident Wave Height given Surf Similarity Number or Iribarren Number?

Incident Wave Height given Surf Similarity Number or Iribarren Number is usually measured using the Meter[m] for Length. Millimeter[m], Kilometer[m], Decimeter[m] are the few other units in which Incident Wave Height given Surf Similarity Number or Iribarren Number can be measured.

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Incident Wave Height given Surf Similarity Number or Iribarren Number Formula

​GoIncident Wave Height given Water Surface Amplitude Formula

Incident Wave Height given Surf Similarity Number or Iribarren Number Example

Incident Wave Height given Surf Similarity Number or Iribarren Number Solution

Incident Wave Height given Surf Similarity Number or Iribarren Number Formula Elements

Other Formulas to find Incident Wave Height

Other formulas in Wave Transmission Coefficient and Water Surface Amplitude category

How to Evaluate Incident Wave Height given Surf Similarity Number or Iribarren Number?

FAQs on Incident Wave Height given Surf Similarity Number or Iribarren Number

Variable Name

GoIncident Wave Height given Water Surface Amplitude Formula