Deepwater Wavelength given Breaker Height Index from Linear Wave Theory Calculator

✖Equivalent Unrefracted Deepwater Wave Height (EDWH) is a parameter used particularly in wave behaviour and breakwater design, defined in relation to the Breaker Height Index from Linear Wave Theory.ⓘ Equivalent Unrefracted Deepwater Wave Height [H'_o]			+10% -10%
✖Breaker Height Index is the ratio of wave height and still water depth at the shore face location where waves start breaking.ⓘ Breaker Height Index [Ω_b]			+10% -10%

✖Deep-Water Wavelength is the wavelength of a wave when the water depth is greater than half of its wavelength.ⓘ Deepwater Wavelength given Breaker Height Index from Linear Wave Theory [λ_o]

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Deepwater Wavelength given Breaker Height Index from Linear Wave Theory

Formula

`"λ"_{"o"} = "H'"_{"o"}/("Ω"_{"b"}/0.56)^(-5)`

Example

`"7.126268m"="0.00364m"/("2.55"/0.56)^(-5)`

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Deepwater Wavelength given Breaker Height Index from Linear Wave Theory Solution

STEP 0: Pre-Calculation Summary

Formula Used

Deep-Water Wavelength = Equivalent Unrefracted Deepwater Wave Height/(Breaker Height Index/0.56)^(-5)
λ_o = H'_o/(Ω_b/0.56)^(-5)
This formula uses 3 Variables

Variables Used

Deep-Water Wavelength - (Measured in Meter) - Deep-Water Wavelength is the wavelength of a wave when the water depth is greater than half of its wavelength.
Equivalent Unrefracted Deepwater Wave Height - (Measured in Meter) - Equivalent Unrefracted Deepwater Wave Height (EDWH) is a parameter used particularly in wave behaviour and breakwater design, defined in relation to the Breaker Height Index from Linear Wave Theory.
Breaker Height Index - Breaker Height Index is the ratio of wave height and still water depth at the shore face location where waves start breaking.

STEP 1: Convert Input(s) to Base Unit

Equivalent Unrefracted Deepwater Wave Height: 0.00364 Meter --> 0.00364 Meter No Conversion Required
Breaker Height Index: 2.55 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

λ_o = H'_o/(Ω_b/0.56)^(-5) --> 0.00364/(2.55/0.56)^(-5)

Evaluating ... ...

λ_o = 7.12626799679159

STEP 3: Convert Result to Output's Unit

7.12626799679159 Meter --> No Conversion Required

FINAL ANSWER

7.12626799679159 ≈ 7.126268 Meter <-- Deep-Water Wavelength

(Calculation completed in 00.004 seconds)

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< 16 Breaker Index Calculators

Wave Period given Breaker Depth Index

Go Wave Period for Breaker Index = sqrt((Functions of Beach Slope A*Wave Height at Incipient Breaking)/([g]*(Functions of Beach Slope B-Breaker Depth Index)))

Breaker Depth Index given Wave Period

Go Breaker Depth Index = Functions of Beach Slope B-Functions of Beach Slope A*(Wave Height at Incipient Breaking/([g]*Wave Period for Breaker Index^2))

Wave Height at Incipient Breaking using Beach Slope

Go Wave Height at Incipient Breaking = [g]*Wave Period for Breaker Index^2*(Functions of Beach Slope B-Breaker Depth Index)/Functions of Beach Slope A

Semi-Empirical Relationship for Breaker Height Index from Linear Wave Theory

Go Breaker Height Index = 0.56*(Equivalent Unrefracted Deepwater Wave Height/Deep-Water Wavelength)^(-1/5)

Equivalent Unrefracted Deepwater Wave Height given Breaker Height Index from Linear Wave Theory

Go Equivalent Unrefracted Deepwater Wave Height = Deep-Water Wavelength*(Breaker Height Index/0.56)^(-5)

Deepwater Wavelength given Breaker Height Index from Linear Wave Theory

Go Deep-Water Wavelength = Equivalent Unrefracted Deepwater Wave Height/(Breaker Height Index/0.56)^(-5)

Water Depth at Breaking given Breaker Depth Index

Go Water Depth at Breaking = (Wave Height at Incipient Breaking/Breaker Depth Index)

Wave Height at Incipient Breaking given Breaker Depth Index

Go Wave Height at Incipient Breaking = Breaker Depth Index*Water Depth at Breaking

Breaker Depth Index

Go Breaker Depth Index = Wave Height at Incipient Breaking/Water Depth at Breaking

Wave Height at Incipient Breaking given Breaker Height Index

Go Wave Height at Incipient Breaking = Breaker Height Index*Deep-Water Wavelength

Deepwater Wave Height given Breaker Height Index

Go Deep-Water Wavelength = Wave Height at Incipient Breaking/Breaker Height Index

Breaker Height Index

Go Breaker Height Index = Wave Height at Incipient Breaking/Deep-Water Wavelength

Local Depth given Root Mean Square Wave Height

Go Local Depth = Root Mean Square Wave Height/0.42

Root Mean Square Wave Height at Breaking

Go Root Mean Square Wave Height = 0.42*Local Depth

Local Depth given Zero Moment Wave Height

Go Local Depth = Zero-Moment Wave Height/0.6

Zero-Moment Wave Height at Breaking

Go Zero-Moment Wave Height = 0.6*Local Depth

Deepwater Wavelength given Breaker Height Index from Linear Wave Theory Formula

Deep-Water Wavelength = Equivalent Unrefracted Deepwater Wave Height/(Breaker Height Index/0.56)^(-5)
λ_o = H'_o/(Ω_b/0.56)^(-5)

What is Breaker Index?

The Breaker Index is defined as the ratio between the height of a wave and the water depth in which the wave breaks or the ratio of wave height and still water depth at the shoreface location where waves start breaking.

What is Wave Period?

The Wave Period is the time it takes to complete one cycle. The standard unit of a wave period is in seconds, and it is inversely proportional to the frequency of a wave, which is the number of cycles of waves that occur in one second. In other words, the higher the frequency of a wave, the lower the wave period.

How to Calculate Deepwater Wavelength given Breaker Height Index from Linear Wave Theory?

Deepwater Wavelength given Breaker Height Index from Linear Wave Theory calculator uses Deep-Water Wavelength = Equivalent Unrefracted Deepwater Wave Height/(Breaker Height Index/0.56)^(-5) to calculate the Deep-Water Wavelength, The Deepwater Wavelength given Breaker Height Index from Linear Wave Theory formula is defined as a parameter that influences the Breaker Height Index, which is commonly used to define the wave height at breaking. Deep-Water Wavelength is denoted by λ_o symbol.

How to calculate Deepwater Wavelength given Breaker Height Index from Linear Wave Theory using this online calculator? To use this online calculator for Deepwater Wavelength given Breaker Height Index from Linear Wave Theory, enter Equivalent Unrefracted Deepwater Wave Height (H'_o) & Breaker Height Index (Ω_b) and hit the calculate button. Here is how the Deepwater Wavelength given Breaker Height Index from Linear Wave Theory calculation can be explained with given input values -> 6.987629 = 0.00364/(2.55/0.56)^(-5).

FAQ

What is Deepwater Wavelength given Breaker Height Index from Linear Wave Theory?

The Deepwater Wavelength given Breaker Height Index from Linear Wave Theory formula is defined as a parameter that influences the Breaker Height Index, which is commonly used to define the wave height at breaking and is represented as λ_o = H'_o/(Ω_b/0.56)^(-5) or Deep-Water Wavelength = Equivalent Unrefracted Deepwater Wave Height/(Breaker Height Index/0.56)^(-5). Equivalent Unrefracted Deepwater Wave Height (EDWH) is a parameter used particularly in wave behaviour and breakwater design, defined in relation to the Breaker Height Index from Linear Wave Theory & Breaker Height Index is the ratio of wave height and still water depth at the shore face location where waves start breaking.

How to calculate Deepwater Wavelength given Breaker Height Index from Linear Wave Theory?

The Deepwater Wavelength given Breaker Height Index from Linear Wave Theory formula is defined as a parameter that influences the Breaker Height Index, which is commonly used to define the wave height at breaking is calculated using Deep-Water Wavelength = Equivalent Unrefracted Deepwater Wave Height/(Breaker Height Index/0.56)^(-5). To calculate Deepwater Wavelength given Breaker Height Index from Linear Wave Theory, you need Equivalent Unrefracted Deepwater Wave Height (H'_o) & Breaker Height Index (Ω_b). With our tool, you need to enter the respective value for Equivalent Unrefracted Deepwater Wave Height & Breaker Height Index 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 Deep-Water Wavelength?

In this formula, Deep-Water Wavelength uses Equivalent Unrefracted Deepwater Wave Height & Breaker Height Index. We can use 1 other way(s) to calculate the same, which is/are as follows -

Deep-Water Wavelength = Wave Height at Incipient Breaking/Breaker Height Index

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