Incident Wave Height given Surf Similarity Number or Iribarren Number Calculator

✖Incident Wave Length in Deepwater is the wave length of the wave that travels from the generating source towards the load.ⓘ Incident Wave Length in Deepwater [L_o]			+10% -10%
✖Angle Sloped Plane forms with the Horizontal is the inclination or tilt of the plane relative to the level ground.ⓘ Angle Sloped Plane forms with the Horizontal [α]			+10% -10%
✖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.ⓘ Surf Similarity Number or Iribarren Number [I_r]			+10% -10%

✖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].ⓘ Incident Wave Height given Surf Similarity Number or Iribarren Number [H_i]

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Incident Wave Height given Surf Similarity Number or Iribarren Number Solution

STEP 0: Pre-Calculation Summary

Formula Used

Incident Wave Height = Incident Wave Length in Deepwater*(tan(Angle Sloped Plane forms with the Horizontal)/Surf Similarity Number or Iribarren Number)^2
H_i = L_o*(tan(α)/I_r)^2
This formula uses 1 Functions, 4 Variables

Functions Used

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., tan(Angle)

Variables Used

Incident Wave Height - (Measured in Meter) - 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].
Incident Wave Length in Deepwater - (Measured in Meter) - Incident Wave Length in Deepwater is the wave length of the wave that travels from the generating source towards the load.
Angle Sloped Plane forms with the Horizontal - (Measured in Radian) - Angle Sloped Plane forms with the Horizontal is the inclination or tilt of the plane relative to the level ground.
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.

STEP 1: Convert Input(s) to Base Unit

Incident Wave Length in Deepwater: 16 Meter --> 16 Meter No Conversion Required
Angle Sloped Plane forms with the Horizontal: 16.725 Degree --> 0.291906317395997 Radian (Check conversion here)
Surf Similarity Number or Iribarren Number: 0.095 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

H_i = L_o*(tan(α)/I_r)^2 --> 16*(tan(0.291906317395997)/0.095)^2

Evaluating ... ...

H_i = 160.078480319279

STEP 3: Convert Result to Output's Unit

160.078480319279 Meter --> No Conversion Required

FINAL ANSWER

160.078480319279 ≈ 160.0785 Meter <-- Incident Wave Height

(Calculation completed in 00.020 seconds)

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Incident Wave Height given Surf Similarity Number or Iribarren Number Formula

LaTeX Go

Incident Wave Height = Incident Wave Length in Deepwater*(tan(Angle Sloped Plane forms with the Horizontal)/Surf Similarity Number or Iribarren Number)^2
H_i = L_o*(tan(α)/I_r)^2

What is Iribarren Number?

In fluid dynamics, the Iribarren number or Iribarren parameter – also known as the surf similarity parameter and breaker parameter – is a dimensionless parameter used to model several effects of surface gravity waves on beaches and coastal structures.

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

Incident Wave Height given Surf Similarity Number or Iribarren Number calculator 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 calculate 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 calculate Incident Wave Height given Surf Similarity Number or Iribarren Number using this online calculator? To use this online calculator 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. Here is how the Incident Wave Height given Surf Similarity Number or Iribarren Number calculation can be explained with given input values -> 159.5721 = 16*(tan(0.291906317395997)/0.095)^2.

FAQ

What is Incident Wave Height given Surf Similarity Number or Iribarren Number?

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 and is represented as H_i = L_o*(tan(α)/I_r)^2 or Incident Wave Height = Incident Wave Length in Deepwater*(tan(Angle Sloped Plane forms with the Horizontal)/Surf Similarity Number or Iribarren Number)^2. Incident Wave Length in Deepwater is the wave length of the wave that travels from the generating source towards the load, Angle Sloped Plane forms with the Horizontal is the inclination or tilt of the plane relative to the level ground & 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.

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

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 is calculated using Incident Wave Height = Incident Wave Length in Deepwater*(tan(Angle Sloped Plane forms with the Horizontal)/Surf Similarity Number or Iribarren Number)^2. To calculate Incident Wave Height given Surf Similarity Number or Iribarren Number, you need Incident Wave Length in Deepwater (L_o), Angle Sloped Plane forms with the Horizontal (α) & Surf Similarity Number or Iribarren Number (I_r). With our tool, you need to enter the respective value for Incident Wave Length in Deepwater, Angle Sloped Plane forms with the Horizontal & Surf Similarity Number or Iribarren Number 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 Incident Wave Height?

In this formula, Incident Wave Height uses Incident Wave Length in Deepwater, Angle Sloped Plane forms with the Horizontal & Surf Similarity Number or Iribarren Number. We can use 1 other way(s) to calculate the same, which is/are as follows -

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

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