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Maximum Wave Height given Energy Dissipation Rate Formula

GoMaximum Wave Height using Miche Criterion Formula

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Maximum Wave Height is most probable influenced by the difference between the elevations of a crest and a neighboring trough. Check FAQs

H max = \sqrt{\frac{δ}{0.25 \cdot ρ water \cdot [g] \cdot Q B \cdot f m}}

H_max - Maximum Wave Height?δ - Energy Dissipation Rate per unit Surface Area?ρ_water - Water Density?Q_B - Percentage of Waves Breaking?f_m - Mean Wave Frequency?[g] - Gravitational acceleration on Earth?

Maximum Wave Height given Energy Dissipation Rate Example

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Here is how the Maximum Wave Height given Energy Dissipation Rate equation looks like with Values.

Here is how the Maximum Wave Height given Energy Dissipation Rate equation looks like with Units.

Here is how the Maximum Wave Height given Energy Dissipation Rate equation looks like.

0.7 = \sqrt{\frac{19221}{0.25 \cdot 1000 \cdot 9.8066 \cdot 2 \cdot 8}}

0.7m = \sqrt{\frac{19221}{0.25 \cdot 1000kg/m³ \cdot 9.8066m/s² \cdot 2 \cdot 8Hz}}

0.7 = \sqrt{\frac{19221}{0.25 \cdot 1000 \cdot 9.8066 \cdot 2 \cdot 8}}

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Maximum Wave Height given Energy Dissipation Rate Solution

Follow our step by step solution on how to calculate Maximum Wave Height given Energy Dissipation Rate?

FIRST Step Consider the formula

H max = \sqrt{\frac{δ}{0.25 \cdot ρ water \cdot [g] \cdot Q B \cdot f m}}

Next Step Substitute values of Variables

∴

H max = \sqrt{\frac{19221}{0.25 \cdot 1000kg/m³ \cdot [g] \cdot 2 \cdot 8Hz}}

Next Step Substitute values of Constants

∴

H max = \sqrt{\frac{19221}{0.25 \cdot 1000kg/m³ \cdot 9.8066m/s² \cdot 2 \cdot 8Hz}}

Next Step Prepare to Evaluate

∴

H max = \sqrt{\frac{19221}{0.25 \cdot 1000 \cdot 9.8066 \cdot 2 \cdot 8}}

Next Step Evaluate

∴

H max = 0.699999380886311m

LAST Step Rounding Answer

∴

H max = 0.7m

Maximum Wave Height given Energy Dissipation Rate Formula Elements

Variables

Constants

Functions

Maximum Wave Height

Maximum Wave Height is most probable influenced by the difference between the elevations of a crest and a neighboring trough.

Symbol: H_max

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Maximum Wave Height

Energy Dissipation Rate per unit Surface Area

Energy Dissipation Rate per unit Surface Area is the amount of energy lost by the viscous forces per unit surface area.

Symbol: δ

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Energy Dissipation Rate per unit Surface Area

Water Density

Water Density is mass per unit volume of water.

Symbol: ρ_water

Measurement: DensityUnit: kg/m³

Note: Value should be greater than 0.

Formulas to find Water Density

Percentage of Waves Breaking

Percentage of Waves Breaking is to calculate the energy dissipation rate of a wave whose amplitude reaches a critical level at which some process can suddenly start to occur.

Symbol: Q_B

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Percentage of Waves Breaking

Mean Wave Frequency

Mean Wave Frequency is the number of complete cycles of waves that pass through a fixed point in a unit time.

Symbol: f_m

Measurement: FrequencyUnit: Hz

Note: Value should be greater than 0.

Formulas to find Mean Wave Frequency

Gravitational acceleration on Earth

Gravitational acceleration on Earth means that the velocity of an object in free fall will increase by 9.8 m/s2 every second.

Symbol: [g]

Value: 9.80665 m/s²

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.

Syntax: sqrt(Number)

Other Formulas to find Maximum Wave Height

Go Maximum Wave Height using Miche Criterion

H max = 0.14 \cdot λ \cdot \tanh (d \cdot k)

Other formulas in Energy Flux Method category

Go Energy Flux associated with Stable Wave Height

E f' = E'' \cdot C g

Go Energy Dissipation Rate per unit Surface Area due to Wave Breaking

δ = (\frac{K d}{d}) \cdot ((E'' \cdot C g) - (E f))

Go Water Depth given Energy Dissipation Rate per unit Surface Area due to Wave Breaking

d = K d \cdot \frac{E'' \cdot C g - (E f)}{δ}

Go Stable Wave Height

H stable = 0.4 \cdot d

How to Evaluate Maximum Wave Height given Energy Dissipation Rate?

Maximum Wave Height given Energy Dissipation Rate evaluator uses Maximum Wave Height = sqrt(Energy Dissipation Rate per unit Surface Area/(0.25*Water Density*[g]*Percentage of Waves Breaking*Mean Wave Frequency)) to evaluate the Maximum Wave Height, The Maximum Wave Height given Energy Dissipation Rate formula is defined as the surface wave i.e. the difference between the elevations of a crest and a neighbouring trough given the rate at which energy is transformed or lost within a system. Maximum Wave Height is denoted by H_max symbol.

How to evaluate Maximum Wave Height given Energy Dissipation Rate using this online evaluator? To use this online evaluator for Maximum Wave Height given Energy Dissipation Rate, enter Energy Dissipation Rate per unit Surface Area (δ), Water Density (ρ_water), Percentage of Waves Breaking (Q_B) & Mean Wave Frequency (f_m) and hit the calculate button.

FAQs on Maximum Wave Height given Energy Dissipation Rate

What is the formula to find Maximum Wave Height given Energy Dissipation Rate?

The formula of Maximum Wave Height given Energy Dissipation Rate is expressed as Maximum Wave Height = sqrt(Energy Dissipation Rate per unit Surface Area/(0.25*Water Density*[g]*Percentage of Waves Breaking*Mean Wave Frequency)). Here is an example- 0.699999 = sqrt(19221/(0.25*1000*[g]*2*8)).

How to calculate Maximum Wave Height given Energy Dissipation Rate?

With Energy Dissipation Rate per unit Surface Area (δ), Water Density (ρ_water), Percentage of Waves Breaking (Q_B) & Mean Wave Frequency (f_m) we can find Maximum Wave Height given Energy Dissipation Rate using the formula - Maximum Wave Height = sqrt(Energy Dissipation Rate per unit Surface Area/(0.25*Water Density*[g]*Percentage of Waves Breaking*Mean Wave Frequency)). This formula also uses Gravitational acceleration on Earth constant(s) and Square Root (sqrt) function(s).

What are the other ways to Calculate Maximum Wave Height?

Here are the different ways to Calculate Maximum Wave Height-

Maximum Wave Height=0.14*Wavelength of Coast*tanh(Water Depth*Wave Number for Waves in Coast)

Can the Maximum Wave Height given Energy Dissipation Rate be negative?

No, the Maximum Wave Height given Energy Dissipation Rate, measured in Length cannot be negative.

Which unit is used to measure Maximum Wave Height given Energy Dissipation Rate?

Maximum Wave Height given Energy Dissipation Rate is usually measured using the Meter[m] for Length. Millimeter[m], Kilometer[m], Decimeter[m] are the few other units in which Maximum Wave Height given Energy Dissipation Rate can be measured.

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Maximum Wave Height given Energy Dissipation Rate Formula

​GoMaximum Wave Height using Miche Criterion Formula

Maximum Wave Height given Energy Dissipation Rate Example

Maximum Wave Height given Energy Dissipation Rate Solution

Maximum Wave Height given Energy Dissipation Rate Formula Elements

Other Formulas to find Maximum Wave Height

Other formulas in Energy Flux Method category

How to Evaluate Maximum Wave Height given Energy Dissipation Rate?

FAQs on Maximum Wave Height given Energy Dissipation Rate

Variable Name

GoMaximum Wave Height using Miche Criterion Formula