Surf Similarity Number or Iribarren Number Solution

STEP 0: Pre-Calculation Summary
Formula Used
Surf Similarity Number or Iribarren Number = tan(Angle Sloped plane forms with the horizontal)/sqrt(Incident Wave Height/Incident Wave Length in Deepwater)
Ir = tan(α)/sqrt(Hi/Lo)
This formula uses 2 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)
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., sqrt(Number)
Variables Used
Surf Similarity Number or Iribarren Number - Surf Similarity Number or Iribarren Number is used to model several effects of (breaking) surface gravity waves.
Angle Sloped plane forms with the horizontal - Angle Sloped plane forms with the horizontal [surface-piercing slope].
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.
STEP 1: Convert Input(s) to Base Unit
Angle Sloped plane forms with the horizontal: 16 --> No Conversion Required
Incident Wave Height: 160 Meter --> 160 Meter No Conversion Required
Incident Wave Length in Deepwater: 16 Meter --> 16 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Ir = tan(α)/sqrt(Hi/Lo) --> tan(16)/sqrt(160/16)
Evaluating ... ...
Ir = 0.0950682622878523
STEP 3: Convert Result to Output's Unit
0.0950682622878523 --> No Conversion Required
FINAL ANSWER
0.0950682622878523 0.095068 <-- Surf Similarity Number or Iribarren Number
(Calculation completed in 00.004 seconds)

Credits

Created by Mithila Muthamma PA
Coorg Institute of Technology (CIT), Coorg
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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)

Surf Similarity Number or Iribarren Number Formula

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

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Dredging is the excavation of material from a water environment. Possible reasons for dredging include improving existing water features; reshaping land and water features to alter drainage.

How to Calculate Surf Similarity Number or Iribarren Number?

Surf Similarity Number or Iribarren Number calculator 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 calculate the Surf Similarity Number or Iribarren Number, The Surf Similarity Number or Iribarren Number also known as breaker parameter – is 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 Ir symbol.

How to calculate Surf Similarity Number or Iribarren Number using this online calculator? To use this online calculator for Surf Similarity Number or Iribarren Number, enter Angle Sloped plane forms with the horizontal (α), Incident Wave Height (Hi) & Incident Wave Length in Deepwater (Lo) and hit the calculate button. Here is how the Surf Similarity Number or Iribarren Number calculation can be explained with given input values -> 0.095068 = tan(16)/sqrt(160/16).

FAQ

What is Surf Similarity Number or Iribarren Number?
The Surf Similarity Number or Iribarren Number also known as breaker parameter – is a dimensionless parameter used to model several effects of surface gravity waves on beaches and coastal structures and is represented as Ir = tan(α)/sqrt(Hi/Lo) or Surf Similarity Number or Iribarren Number = tan(Angle Sloped plane forms with the horizontal)/sqrt(Incident Wave Height/Incident Wave Length in Deepwater). Angle Sloped plane forms with the horizontal [surface-piercing slope], 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 [length] is the wave length of the wave that travels from the generating source towards the load.
How to calculate Surf Similarity Number or Iribarren Number?
The Surf Similarity Number or Iribarren Number also known as breaker parameter – is a dimensionless parameter used to model several effects of surface gravity waves on beaches and coastal structures is calculated using Surf Similarity Number or Iribarren Number = tan(Angle Sloped plane forms with the horizontal)/sqrt(Incident Wave Height/Incident Wave Length in Deepwater). To calculate Surf Similarity Number or Iribarren Number, you need Angle Sloped plane forms with the horizontal (α), Incident Wave Height (Hi) & Incident Wave Length in Deepwater (Lo). With our tool, you need to enter the respective value for Angle Sloped plane forms with the horizontal, Incident Wave Height & Incident Wave Length in Deepwater and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.
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