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

GoBreaker Height Index Formula

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Breaker Height Index is the ratio of wave height and still water depth at the shore face location where waves start breaking. Check FAQs

Ω b = 0.56 \cdot {(\frac{H' o}{λ o})}^{- \frac{1}{5}}

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

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

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Here is how the Semi-Empirical Relationship for Breaker Height Index from Linear Wave Theory equation looks like with Values.

Here is how the Semi-Empirical Relationship for Breaker Height Index from Linear Wave Theory equation looks like with Units.

Here is how the Semi-Empirical Relationship for Breaker Height Index from Linear Wave Theory equation looks like.

2.5409 = 0.56 \cdot {(\frac{0.0036}{7})}^{- \frac{1}{5}}

2.5409 = 0.56 \cdot {(\frac{0.0036m}{7m})}^{- \frac{1}{5}}

2.5409 = 0.56 \cdot {(\frac{0.0036}{7})}^{- \frac{1}{5}}

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

Follow our step by step solution on how to calculate Semi-Empirical Relationship for Breaker Height Index from Linear Wave Theory?

FIRST Step Consider the formula

Ω b = 0.56 \cdot {(\frac{H' o}{λ o})}^{- \frac{1}{5}}

Next Step Substitute values of Variables

∴

Ω b = 0.56 \cdot {(\frac{0.0036m}{7m})}^{- \frac{1}{5}}

Next Step Prepare to Evaluate

∴

Ω b = 0.56 \cdot {(\frac{0.0036}{7})}^{- \frac{1}{5}}

Next Step Evaluate

∴

Ω b = 2.54089874237172

LAST Step Rounding Answer

∴

Ω b = 2.5409

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

Variables

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

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

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

Other Formulas to find Breaker Height Index

Go Breaker Height Index

Ω b = \frac{H b}{λ o}

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 Wave Height at Incipient Breaking given Breaker Height Index

H b = Ω b \cdot λ o

How to Evaluate Semi-Empirical Relationship for Breaker Height Index from Linear Wave Theory?

Semi-Empirical Relationship for Breaker Height Index from Linear Wave Theory evaluator uses Breaker Height Index = 0.56*(Equivalent Unrefracted Deepwater Wave Height/Deep-Water Wavelength)^(-1/5) to evaluate the Breaker Height Index, The Semi-Empirical Relationship for Breaker Height Index from Linear Wave Theory formula is defined as estimating the location on the shoreface where wave breaking occurs based on empirical formulas where the Breaker Height Index is the ratio of the wave height at breaking, to the water depth at the breakpoint. Breaker Height Index is denoted by Ω_b symbol.

How to evaluate Semi-Empirical Relationship for Breaker Height Index from Linear Wave Theory using this online evaluator? To use this online evaluator for Semi-Empirical Relationship for Breaker Height Index from Linear Wave Theory, enter Equivalent Unrefracted Deepwater Wave Height (H'_o) & Deep-Water Wavelength (λ_o) and hit the calculate button.

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

What is the formula to find Semi-Empirical Relationship for Breaker Height Index from Linear Wave Theory?

The formula of Semi-Empirical Relationship for Breaker Height Index from Linear Wave Theory is expressed as Breaker Height Index = 0.56*(Equivalent Unrefracted Deepwater Wave Height/Deep-Water Wavelength)^(-1/5). Here is an example- 2.540899 = 0.56*(0.00364/7)^(-1/5).

How to calculate Semi-Empirical Relationship for Breaker Height Index from Linear Wave Theory?

With Equivalent Unrefracted Deepwater Wave Height (H'_o) & Deep-Water Wavelength (λ_o) we can find Semi-Empirical Relationship for Breaker Height Index from Linear Wave Theory using the formula - Breaker Height Index = 0.56*(Equivalent Unrefracted Deepwater Wave Height/Deep-Water Wavelength)^(-1/5).

What are the other ways to Calculate Breaker Height Index?

Here are the different ways to Calculate Breaker Height Index-

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

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