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Deepwater Wavelength given Breaker Height Index from Linear Wave Theory Formula

GoDeepwater Wave Height given Breaker Height Index Formula

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Deep-Water Wavelength is the horizontal distance between two successive crests (or troughs) of the wave. Check FAQs

λ o = \frac{H' o}{{(\frac{Ω b}{0.56})}^{- 5}}

λ_o - Deep-Water Wavelength?H'_o - Equivalent Unrefracted Deepwater Wave Height?Ω_b - Breaker Height Index?

Deepwater Wavelength given Breaker Height Index from Linear Wave Theory Example

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Here is how the Deepwater Wavelength given Breaker Height Index from Linear Wave Theory equation looks like with Values.

Here is how the Deepwater Wavelength given Breaker Height Index from Linear Wave Theory equation looks like with Units.

Here is how the Deepwater Wavelength given Breaker Height Index from Linear Wave Theory equation looks like.

7.1263 = \frac{0.0036}{{(\frac{2.55}{0.56})}^{- 5}}

7.1263m = \frac{0.0036m}{{(\frac{2.55}{0.56})}^{- 5}}

7.1263 = \frac{0.0036}{{(\frac{2.55}{0.56})}^{- 5}}

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Deepwater Wavelength given Breaker Height Index from Linear Wave Theory Solution

Follow our step by step solution on how to calculate Deepwater Wavelength given Breaker Height Index from Linear Wave Theory?

FIRST Step Consider the formula

λ o = \frac{H' o}{{(\frac{Ω b}{0.56})}^{- 5}}

Next Step Substitute values of Variables

∴

λ o = \frac{0.0036m}{{(\frac{2.55}{0.56})}^{- 5}}

Next Step Prepare to Evaluate

∴

λ o = \frac{0.0036}{{(\frac{2.55}{0.56})}^{- 5}}

Next Step Evaluate

∴

λ o = 7.12626799679159m

LAST Step Rounding Answer

∴

λ o = 7.1263m

Deepwater Wavelength given Breaker Height Index from Linear Wave Theory Formula Elements

Variables

Deep-Water Wavelength

Deep-Water Wavelength is the horizontal distance between two successive crests (or troughs) of the wave.

Symbol: λ_o

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Deep-Water Wavelength

Equivalent Unrefracted Deepwater Wave Height

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.

Symbol: H'_o

Measurement: LengthUnit: m

Note: Value can be positive or negative.

Formulas to find Equivalent Unrefracted Deepwater Wave Height

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.

Symbol: Ω_b

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Breaker Height Index

Other Formulas to find Deep-Water Wavelength

Go Deepwater Wave Height given Breaker Height Index

λ o = \frac{H b}{Ω b}

Other formulas in Breaker Index category

Go Breaker Depth Index

γ b = \frac{H b}{d b}

Go Wave Height at Incipient Breaking given Breaker Depth Index

H b = γ b \cdot d b

Go Water Depth at Breaking given Breaker Depth Index

d b = (\frac{H b}{γ b})

Go Breaker Height Index

Ω b = \frac{H b}{λ o}

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

Deepwater Wavelength given Breaker Height Index from Linear Wave Theory evaluator uses Deep-Water Wavelength = Equivalent Unrefracted Deepwater Wave Height/(Breaker Height Index/0.56)^(-5) to evaluate 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 evaluate Deepwater Wavelength given Breaker Height Index from Linear Wave Theory using this online evaluator? To use this online evaluator 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.

FAQs on Deepwater Wavelength given Breaker Height Index from Linear Wave Theory

What is the formula to find Deepwater Wavelength given Breaker Height Index from Linear Wave Theory?

The formula of Deepwater Wavelength given Breaker Height Index from Linear Wave Theory is expressed as Deep-Water Wavelength = Equivalent Unrefracted Deepwater Wave Height/(Breaker Height Index/0.56)^(-5). Here is an example- 6.987629 = 0.00364/(2.55/0.56)^(-5).

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

With Equivalent Unrefracted Deepwater Wave Height (H'_o) & Breaker Height Index (Ω_b) we can find Deepwater Wavelength given Breaker Height Index from Linear Wave Theory using the formula - Deep-Water Wavelength = Equivalent Unrefracted Deepwater Wave Height/(Breaker Height Index/0.56)^(-5).

What are the other ways to Calculate Deep-Water Wavelength?

Here are the different ways to Calculate Deep-Water Wavelength-

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

Can the Deepwater Wavelength given Breaker Height Index from Linear Wave Theory be negative?

No, the Deepwater Wavelength given Breaker Height Index from Linear Wave Theory, measured in Length cannot be negative.

Which unit is used to measure Deepwater Wavelength given Breaker Height Index from Linear Wave Theory?

Deepwater Wavelength given Breaker Height Index from Linear Wave Theory is usually measured using the Meter[m] for Length. Millimeter[m], Kilometer[m], Decimeter[m] are the few other units in which Deepwater Wavelength given Breaker Height Index from Linear Wave Theory can be measured.

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