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Water Depth given Maximum Wave Height by Miche Criterion Formula

GoWater Depth given Energy Dissipation Rate per unit Surface Area due to Wave Breaking Formula

GoWater Depth given Stable Wave Height Formula

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Water Depth of the considered catchment is the depth as measured from the water level to the bottom of the considered water body. Check FAQs

d = (\frac{a \tanh (\frac{H max}{0.14 \cdot λ})}{k})

d - Water Depth?H_max - Maximum Wave Height?λ - Wavelength of Coast?k - Wave Number for Waves in Coast?

Water Depth given Maximum Wave Height by Miche Criterion Example

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Here is how the Water Depth given Maximum Wave Height by Miche Criterion equation looks like with Values.

Here is how the Water Depth given Maximum Wave Height by Miche Criterion equation looks like with Units.

Here is how the Water Depth given Maximum Wave Height by Miche Criterion equation looks like.

0.9439 = (\frac{a \tanh (\frac{0.7}{0.14 \cdot 26.8})}{0.2})

0.9439m = (\frac{a \tanh (\frac{0.7m}{0.14 \cdot 26.8m})}{0.2})

0.9439 = (\frac{a \tanh (\frac{0.7}{0.14 \cdot 26.8})}{0.2})

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Water Depth given Maximum Wave Height by Miche Criterion Solution

Follow our step by step solution on how to calculate Water Depth given Maximum Wave Height by Miche Criterion?

FIRST Step Consider the formula

d = (\frac{a \tanh (\frac{H max}{0.14 \cdot λ})}{k})

Next Step Substitute values of Variables

∴

d = (\frac{a \tanh (\frac{0.7m}{0.14 \cdot 26.8m})}{0.2})

Next Step Prepare to Evaluate

∴

d = (\frac{a \tanh (\frac{0.7}{0.14 \cdot 26.8})}{0.2})

Next Step Evaluate

∴

d = 0.943890799977719m

LAST Step Rounding Answer

∴

d = 0.9439m

Water Depth given Maximum Wave Height by Miche Criterion Formula Elements

Variables

Functions

Water Depth

Water Depth of the considered catchment is the depth as measured from the water level to the bottom of the considered water body.

Symbol: d

Measurement: LengthUnit: m

Note: Value can be positive or negative.

Formulas to find Water Depth

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

Wavelength of Coast

Wavelength of Coast refers to the distance between two successive crests or troughs of a wave as it travels through the water near the shore.

Symbol: λ

Measurement: LengthUnit: m

Note: Value can be positive or negative.

Formulas to find Wavelength of Coast

Wave Number for Waves in Coast

Wave Number for Waves in Coast is the spatial frequency of a wave, measured in cycles per unit distance or radians per unit distance.

Symbol: k

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Wave Number for Waves in Coast

tanh

The hyperbolic tangent function (tanh) is a function that is defined as the ratio of the hyperbolic sine function (sinh) to the hyperbolic cosine function (cosh).

Syntax: tanh(Number)

atanh

The inverse hyperbolic tangent function returns the value whose hyperbolic tangent is a number.

Syntax: atanh(Number)

Other Formulas to find Water Depth

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 Water Depth given Stable Wave Height

d = \frac{H stable}{0.4}

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 Stable Wave Height

H stable = 0.4 \cdot d

Go Energy Dissipation Rate by Battjes and Janssen

δ = 0.25 \cdot ρ water \cdot [g] \cdot Q B \cdot f m \cdot ({H max}^{2})

How to Evaluate Water Depth given Maximum Wave Height by Miche Criterion?

Water Depth given Maximum Wave Height by Miche Criterion evaluator uses Water Depth = ((atanh(Maximum Wave Height/(0.14*Wavelength of Coast)))/Wave Number for Waves in Coast) to evaluate the Water Depth, The Water Depth given Maximum Wave Height by Miche Criterion formula is defined as a measure by soundings usually acquired by hydrographic surveys, measured from the water level to the bottom surface. Water Depth is denoted by d symbol.

How to evaluate Water Depth given Maximum Wave Height by Miche Criterion using this online evaluator? To use this online evaluator for Water Depth given Maximum Wave Height by Miche Criterion, enter Maximum Wave Height (H_max), Wavelength of Coast (λ) & Wave Number for Waves in Coast (k) and hit the calculate button.

FAQs on Water Depth given Maximum Wave Height by Miche Criterion

What is the formula to find Water Depth given Maximum Wave Height by Miche Criterion?

The formula of Water Depth given Maximum Wave Height by Miche Criterion is expressed as Water Depth = ((atanh(Maximum Wave Height/(0.14*Wavelength of Coast)))/Wave Number for Waves in Coast). Here is an example- 0.943891 = ((atanh(0.7/(0.14*26.8)))/0.2).

How to calculate Water Depth given Maximum Wave Height by Miche Criterion?

With Maximum Wave Height (H_max), Wavelength of Coast (λ) & Wave Number for Waves in Coast (k) we can find Water Depth given Maximum Wave Height by Miche Criterion using the formula - Water Depth = ((atanh(Maximum Wave Height/(0.14*Wavelength of Coast)))/Wave Number for Waves in Coast). This formula also uses Hyperbolic Tangent (tanh), Inverse Hyperbolic Tangent (atanh) function(s).

What are the other ways to Calculate Water Depth?

Here are the different ways to Calculate Water Depth-

Water Depth=Decay Coefficient*(Wave Energy*Wave Group Speed-(Energy Flux associated with Stable Wave Height))/Energy Dissipation Rate per unit Surface Area
Water Depth=Stable Wave Height/0.4

Can the Water Depth given Maximum Wave Height by Miche Criterion be negative?

Yes, the Water Depth given Maximum Wave Height by Miche Criterion, measured in Length can be negative.

Which unit is used to measure Water Depth given Maximum Wave Height by Miche Criterion?

Water Depth given Maximum Wave Height by Miche Criterion is usually measured using the Meter[m] for Length. Millimeter[m], Kilometer[m], Decimeter[m] are the few other units in which Water Depth given Maximum Wave Height by Miche Criterion can be measured.

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Water Depth given Maximum Wave Height by Miche Criterion Formula

​GoWater Depth given Energy Dissipation Rate per unit Surface Area due to Wave Breaking Formula

​GoWater Depth given Stable Wave Height Formula

Water Depth given Maximum Wave Height by Miche Criterion Example

Water Depth given Maximum Wave Height by Miche Criterion Solution

Water Depth given Maximum Wave Height by Miche Criterion Formula Elements

Other Formulas to find Water Depth

Other formulas in Energy Flux Method category

How to Evaluate Water Depth given Maximum Wave Height by Miche Criterion?

FAQs on Water Depth given Maximum Wave Height by Miche Criterion

Variable Name

GoWater Depth given Energy Dissipation Rate per unit Surface Area due to Wave Breaking Formula

GoWater Depth given Stable Wave Height Formula