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Surf Similarity Number or Iribarren Number Formula

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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. Check FAQs

I r = \frac{\tan (α)}{\sqrt{\frac{H i}{L o}}}

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

Surf Similarity Number or Iribarren Number Example

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Here is how the Surf Similarity Number or Iribarren Number equation looks like with Values.

Here is how the Surf Similarity Number or Iribarren Number equation looks like with Units.

Here is how the Surf Similarity Number or Iribarren Number equation looks like.

0.095 = \frac{\tan (16.725)}{\sqrt{\frac{160}{16}}}

0.095 = \frac{\tan (16.725°)}{\sqrt{\frac{160m}{16m}}}

0.095 = \frac{\tan (16.725)}{\sqrt{\frac{160}{16}}}

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Surf Similarity Number or Iribarren Number Solution

Follow our step by step solution on how to calculate Surf Similarity Number or Iribarren Number?

FIRST Step Consider the formula

I r = \frac{\tan (α)}{\sqrt{\frac{H i}{L o}}}

Next Step Substitute values of Variables

∴

I r = \frac{\tan (16.725°)}{\sqrt{\frac{160m}{16m}}}

Next Step Convert Units

∴

I r = \frac{\tan (0.2919rad)}{\sqrt{\frac{160m}{16m}}}

Next Step Prepare to Evaluate

∴

I r = \frac{\tan (0.2919)}{\sqrt{\frac{160}{16}}}

Next Step Evaluate

∴

I r = 0.0950232959884539

LAST Step Rounding Answer

∴

I r = 0.095

Surf Similarity Number or Iribarren Number Formula Elements

Variables

Functions

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

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

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

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)

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.

Syntax: sqrt(Number)

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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 Surf Similarity Number or Iribarren Number?

Surf Similarity Number or Iribarren Number evaluator uses Surf Similarity Number or Iribarren Number = tan(Angle Sloped Plane forms with the Horizontal)/sqrt(Incident Wave Height/Incident Wave Length in Deepwater) to evaluate the Surf Similarity Number or Iribarren Number, The Surf Similarity Number or Iribarren Number is defined as a dimensionless parameter used to model several effects of surface gravity waves on beaches and coastal structures. Surf Similarity Number or Iribarren Number is denoted by I_r symbol.

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

FAQs on Surf Similarity Number or Iribarren Number

What is the formula to find Surf Similarity Number or Iribarren Number?

The formula of Surf Similarity Number or Iribarren Number is expressed as Surf Similarity Number or Iribarren Number = tan(Angle Sloped Plane forms with the Horizontal)/sqrt(Incident Wave Height/Incident Wave Length in Deepwater). Here is an example- 0.094873 = tan(0.291906317395997)/sqrt(160/16).

How to calculate Surf Similarity Number or Iribarren Number?

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

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Surf Similarity Number or Iribarren Number Formula

Surf Similarity Number or Iribarren Number Example

Surf Similarity Number or Iribarren Number Solution

Surf Similarity Number or Iribarren Number Formula Elements

Other formulas in Wave Transmission Coefficient and Water Surface Amplitude category

How to Evaluate Surf Similarity Number or Iribarren Number?

FAQs on Surf Similarity Number or Iribarren Number

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