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Empirical Relationship between Slope and Breaker Height-to-Water Depth Ratio Formula

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Breaker Height-to-Water Depth Ratio is defined as ratio of wave height to water depth at breaking is an important parameter of the surf zone. Check FAQs

HD ratio = 0.75 + (25 \cdot m) - (112 \cdot m^{2}) + (3870 \cdot m^{3})

HD_ratio - Breaker Height-to-Water Depth Ratio?m - Wave Slope?

Empirical Relationship between Slope and Breaker Height-to-Water Depth Ratio Example

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Here is how the Empirical Relationship between Slope and Breaker Height-to-Water Depth Ratio equation looks like with Values.

Here is how the Empirical Relationship between Slope and Breaker Height-to-Water Depth Ratio equation looks like with Units.

Here is how the Empirical Relationship between Slope and Breaker Height-to-Water Depth Ratio equation looks like.

1.2362 = 0.75 + (25 \cdot 0.02) - (112 \cdot {0.02}^{2}) + (3870 \cdot {0.02}^{3})

1.2362 = 0.75 + (25 \cdot 0.02) - (112 \cdot {0.02}^{2}) + (3870 \cdot {0.02}^{3})

1.2362 = 0.75 + (25 \cdot 0.02) - (112 \cdot {0.02}^{2}) + (3870 \cdot {0.02}^{3})

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Empirical Relationship between Slope and Breaker Height-to-Water Depth Ratio Solution

Follow our step by step solution on how to calculate Empirical Relationship between Slope and Breaker Height-to-Water Depth Ratio?

FIRST Step Consider the formula

HD ratio = 0.75 + (25 \cdot m) - (112 \cdot m^{2}) + (3870 \cdot m^{3})

Next Step Substitute values of Variables

∴

HD ratio = 0.75 + (25 \cdot 0.02) - (112 \cdot {0.02}^{2}) + (3870 \cdot {0.02}^{3})

Next Step Prepare to Evaluate

∴

HD ratio = 0.75 + (25 \cdot 0.02) - (112 \cdot {0.02}^{2}) + (3870 \cdot {0.02}^{3})

Next Step Evaluate

∴

HD ratio = 1.23616

LAST Step Rounding Answer

∴

HD ratio = 1.2362

Empirical Relationship between Slope and Breaker Height-to-Water Depth Ratio Formula Elements

Variables

Breaker Height-to-Water Depth Ratio

Breaker Height-to-Water Depth Ratio is defined as ratio of wave height to water depth at breaking is an important parameter of the surf zone.

Symbol: HD_ratio

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Breaker Height-to-Water Depth Ratio

Wave Slope

Wave Slope refers to the rate of change of wave height or wave steepness over a distance.

Symbol: m

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Wave Slope

Other formulas in Solitary Wave category

Go Volume of Water above Still Water Level per Unit Crest Width

V = {((\frac{16}{3}) \cdot {D w}^{3} \cdot H w)}^{0.5}

Go Water Depth given Volume of Water within Wave above Still Water Level

D w = {(\frac{{(V)}^{2}}{(\frac{16}{3}) \cdot H w})}^{\frac{1}{3}}

Go Water Surface above Bottom

y s' = D w + H w \cdot {(sech (\sqrt{(\frac{3}{4}) \cdot (\frac{H w}{{D w}^{3}})} \cdot (x - (C \cdot t))))}^{2}

Go Wave Height given Celerity of Solitary Wave

H w = (\frac{C^{2}}{[g]}) - D w

How to Evaluate Empirical Relationship between Slope and Breaker Height-to-Water Depth Ratio?

Empirical Relationship between Slope and Breaker Height-to-Water Depth Ratio evaluator uses Breaker Height-to-Water Depth Ratio = 0.75+(25*Wave Slope)-(112*Wave Slope^2)+(3870*Wave Slope^3) to evaluate the Breaker Height-to-Water Depth Ratio, The Empirical Relationship between Slope and Breaker Height-to-Water Depth Ratio is defined as tests of single solitary waves on slopes from m=0.01 to m=0.2 (SPM 1984). Breaker Height-to-Water Depth Ratio is denoted by HD_ratio symbol.

How to evaluate Empirical Relationship between Slope and Breaker Height-to-Water Depth Ratio using this online evaluator? To use this online evaluator for Empirical Relationship between Slope and Breaker Height-to-Water Depth Ratio, enter Wave Slope (m) and hit the calculate button.

FAQs on Empirical Relationship between Slope and Breaker Height-to-Water Depth Ratio

What is the formula to find Empirical Relationship between Slope and Breaker Height-to-Water Depth Ratio?

The formula of Empirical Relationship between Slope and Breaker Height-to-Water Depth Ratio is expressed as Breaker Height-to-Water Depth Ratio = 0.75+(25*Wave Slope)-(112*Wave Slope^2)+(3870*Wave Slope^3). Here is an example- 1.23616 = 0.75+(25*0.02)-(112*0.02^2)+(3870*0.02^3).

How to calculate Empirical Relationship between Slope and Breaker Height-to-Water Depth Ratio?

With Wave Slope (m) we can find Empirical Relationship between Slope and Breaker Height-to-Water Depth Ratio using the formula - Breaker Height-to-Water Depth Ratio = 0.75+(25*Wave Slope)-(112*Wave Slope^2)+(3870*Wave Slope^3).

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