Incident Wave Height given Surf Similarity Number or Iribarren Number Calculator

✖Incident Wave Length in Deepwater [length] 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 [surface-piercing slope].ⓘ Angle Sloped plane forms with the horizontal [α]			+10% -10%
✖Surf Similarity Number or Iribarren Number is used to model several effects of (breaking) surface gravity waves.ⓘ 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 a quarter of a wave length [length].ⓘ Incident Wave Height given Surf Similarity Number or Iribarren Number [H_i]

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Formula

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Incident Wave Height given Surf Similarity Number or Iribarren Number

Formula

`"H"_{"i"} = "L"_{"o"}*(tan("α")/"I"_{"r"})^2`

Example

`"160.23m"="16m"*(tan("16")/"0.095")^2`

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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 a quarter of a wave length [length].
Incident Wave Length in Deepwater - (Measured in Meter) - Incident Wave Length in Deepwater [length] is the wave length of the wave that travels from the generating source towards the load.
Angle Sloped plane forms with the horizontal - Angle Sloped plane forms with the horizontal [surface-piercing slope].
Surf Similarity Number or Iribarren Number - Surf Similarity Number or Iribarren Number is used to model several effects of (breaking) surface gravity waves.

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 --> No Conversion Required
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(16)/0.095)^2

Evaluating ... ...

H_i = 160.230018737851

STEP 3: Convert Result to Output's Unit

160.230018737851 Meter --> No Conversion Required

FINAL ANSWER

160.230018737851 ≈ 160.23 Meter <-- Incident Wave Height

(Calculation completed in 00.004 seconds)

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< 16 Wave Transmission Coefficient and Water Surface Amplitude Calculators

Reflected Wave Period given Water Surface Amplitude

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

Incident Wave Length given Water Surface Amplitude

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

Time Elapsed given Water Surface Amplitude

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

Incident Wave Height given Water Surface Amplitude

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

Horizontal Ordinate given Water Surface Amplitude

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

Water Surface Amplitude

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

Surf Similarity Number or Iribarren Number

Go Surf Similarity Number or Iribarren Number = tan(Angle Sloped plane forms with the horizontal)/sqrt(Incident Wave Height/Incident Wave Length in Deepwater)

Incident Wave Height given Surf Similarity Number or Iribarren Number

Go Incident Wave Height = Incident Wave Length in Deepwater*(tan(Angle Sloped plane forms with the horizontal)/Surf Similarity Number or Iribarren Number)^2

Coefficient for Wave Transmission through Structure given Combined Transmission Coefficient

Go Coefficient of Wave Transmission through Structure = sqrt(Wave Transmission Coefficient^2-Coefficient of Transmission Flow Over Structure^2)

Coefficient for Wave Transmission by Flow over Structure

Go Coefficient of Transmission Flow Over Structure = sqrt(Wave Transmission Coefficient^2-Coefficient of Wave Transmission through Structure^2)

Combined Wave Transmission Coefficient

Go Wave Transmission Coefficient = sqrt(Coefficient of Wave Transmission through Structure^2+Coefficient of Transmission Flow Over Structure^2)

Dimensionless coefficient in Seelig equation for Wave Transmission Coefficient

Go Dimensionless Coefficient in the Seelig equation = Wave Transmission Coefficient/(1-(Freeboard/Wave Runup))

Wave Runup above Mean Water Level for given Wave Transmission Coefficient

Go Wave Runup = Freeboard/(1-(Wave Transmission Coefficient/Dimensionless Coefficient in the Seelig equation))

Freeboard for given Wave Transmission Coefficient

Go Freeboard = Wave Runup*(1-(Wave Transmission Coefficient/Dimensionless Coefficient in the Seelig equation))

Wave Transmission Coefficient

Go Wave Transmission Coefficient = Dimensionless Coefficient in the Seelig equation*(1-(Freeboard/Wave Runup))

Dimensionless Coefficient in Seelig equation in Wave Transmission Coefficient

Go Dimensionless Coefficient in the Seelig equation = 0.51-(0.11*Structure Crest Width/Structure Crest Elevation)

Incident Wave Height given Surf Similarity Number or Iribarren Number Formula

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 obtained 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 -> 160.23 = 16*(tan(16)/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 obtained 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 [length] is the wave length of the wave that travels from the generating source towards the load, Angle Sloped plane forms with the horizontal [surface-piercing slope] & Surf Similarity Number or Iribarren Number is used to model several effects of (breaking) surface gravity waves.

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 obtained 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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