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Wave Height given Mean Water Surface Elevation Set down for Regular Waves Formula

GoWave Height given Cross-Shore Component Formula

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Wave Height of a surface wave is the difference between the elevations of a crest and a neighboring trough. Check FAQs

H = \sqrt{η' o \cdot 8 \cdot \frac{\sinh (4 \cdot π \cdot \frac{d}{λ})}{2 \cdot \frac{π}{λ}}}

H - Wave Height?η'_o - Mean Water Surface Elevation of Coast?d - Water Depth?λ - Wavelength of Coast?π - Archimedes' constant?

Wave Height given Mean Water Surface Elevation Set down for Regular Waves Example

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Here is how the Wave Height given Mean Water Surface Elevation Set down for Regular Waves equation looks like with Values.

Here is how the Wave Height given Mean Water Surface Elevation Set down for Regular Waves equation looks like with Units.

Here is how the Wave Height given Mean Water Surface Elevation Set down for Regular Waves equation looks like.

2.9864 = \sqrt{0.51 \cdot 8 \cdot \frac{\sinh (4 \cdot 3.1416 \cdot \frac{1.05}{26.8})}{2 \cdot \frac{3.1416}{26.8}}}

2.9864m = \sqrt{0.51m \cdot 8 \cdot \frac{\sinh (4 \cdot 3.1416 \cdot \frac{1.05m}{26.8m})}{2 \cdot \frac{3.1416}{26.8m}}}

2.9864 = \sqrt{0.51 \cdot 8 \cdot \frac{\sinh (4 \cdot 3.1416 \cdot \frac{1.05}{26.8})}{2 \cdot \frac{3.1416}{26.8}}}

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Wave Height given Mean Water Surface Elevation Set down for Regular Waves Solution

Follow our step by step solution on how to calculate Wave Height given Mean Water Surface Elevation Set down for Regular Waves?

FIRST Step Consider the formula

H = \sqrt{η' o \cdot 8 \cdot \frac{\sinh (4 \cdot π \cdot \frac{d}{λ})}{2 \cdot \frac{π}{λ}}}

Next Step Substitute values of Variables

∴

H = \sqrt{0.51m \cdot 8 \cdot \frac{\sinh (4 \cdot π \cdot \frac{1.05m}{26.8m})}{2 \cdot \frac{π}{26.8m}}}

Next Step Substitute values of Constants

∴

H = \sqrt{0.51m \cdot 8 \cdot \frac{\sinh (4 \cdot 3.1416 \cdot \frac{1.05m}{26.8m})}{2 \cdot \frac{3.1416}{26.8m}}}

Next Step Prepare to Evaluate

∴

H = \sqrt{0.51 \cdot 8 \cdot \frac{\sinh (4 \cdot 3.1416 \cdot \frac{1.05}{26.8})}{2 \cdot \frac{3.1416}{26.8}}}

Next Step Evaluate

∴

H = 2.98636294390331m

LAST Step Rounding Answer

∴

H = 2.9864m

Wave Height given Mean Water Surface Elevation Set down for Regular Waves Formula Elements

Variables

Constants

Functions

Wave Height

Wave Height of a surface wave is the difference between the elevations of a crest and a neighboring trough.

Symbol: H

Measurement: LengthUnit: m

Note: Value can be positive or negative.

Formulas to find Wave Height

Mean Water Surface Elevation of Coast

Mean Water Surface Elevation of Coast is the height, in relation to mean sea level of floods of various magnitudes and frequencies in the floodplains of coastal or riverine areas.

Symbol: η'_o

Measurement: LengthUnit: m

Note: Value should be between -100 to 100.

Formulas to find Mean Water Surface Elevation of Coast

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

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

Archimedes' constant

Archimedes' constant is a mathematical constant that represents the ratio of the circumference of a circle to its diameter.

Symbol: π

Value: 3.14159265358979323846264338327950288

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)

sinh

The hyperbolic sine function, also known as the sinh function, is a mathematical function that is defined as the hyperbolic analogue of the sine function.

Syntax: sinh(Number)

Other Formulas to find Wave Height

Go Wave Height given Cross-Shore Component

H = \sqrt{\frac{16 \cdot S xx'}{3 \cdot ρ water \cdot [g] \cdot d}}

Other formulas in Wave Setup category

Go Total Water Depth

H c = h + η'

Go Still Water Depth given Total Water Depth

h = H c - η'

Go Mean Water Surface Elevation given Total Water Depth

η' = H c - h

Go Set down for Regular Waves

η' o = (- \frac{1}{8}) \cdot (\frac{H^{2} \cdot (2 \cdot \frac{π}{λ})}{\sinh (4 \cdot π \cdot \frac{d}{λ})})

How to Evaluate Wave Height given Mean Water Surface Elevation Set down for Regular Waves?

Wave Height given Mean Water Surface Elevation Set down for Regular Waves evaluator uses Wave Height = sqrt(Mean Water Surface Elevation of Coast*8*sinh(4*pi*Water Depth/Wavelength of Coast)/(2*pi/Wavelength of Coast)) to evaluate the Wave Height, The Wave Height given Mean Water Surface Elevation Set down for Regular Waves formula is defined as the difference between the elevations of a crest and a neighbouring trough given the average height of a body of water’s surface. Wave Height is denoted by H symbol.

How to evaluate Wave Height given Mean Water Surface Elevation Set down for Regular Waves using this online evaluator? To use this online evaluator for Wave Height given Mean Water Surface Elevation Set down for Regular Waves, enter Mean Water Surface Elevation of Coast (η'_o), Water Depth (d) & Wavelength of Coast (λ) and hit the calculate button.

FAQs on Wave Height given Mean Water Surface Elevation Set down for Regular Waves

What is the formula to find Wave Height given Mean Water Surface Elevation Set down for Regular Waves?

The formula of Wave Height given Mean Water Surface Elevation Set down for Regular Waves is expressed as Wave Height = sqrt(Mean Water Surface Elevation of Coast*8*sinh(4*pi*Water Depth/Wavelength of Coast)/(2*pi/Wavelength of Coast)). Here is an example- 2.986363 = sqrt(0.51*8*sinh(4*pi*1.05/26.8)/(2*pi/26.8)).

How to calculate Wave Height given Mean Water Surface Elevation Set down for Regular Waves?

With Mean Water Surface Elevation of Coast (η'_o), Water Depth (d) & Wavelength of Coast (λ) we can find Wave Height given Mean Water Surface Elevation Set down for Regular Waves using the formula - Wave Height = sqrt(Mean Water Surface Elevation of Coast*8*sinh(4*pi*Water Depth/Wavelength of Coast)/(2*pi/Wavelength of Coast)). This formula also uses Archimedes' constant and , Square Root (sqrt), Hyperbolic Sine (sinh) function(s).

What are the other ways to Calculate Wave Height?

Here are the different ways to Calculate Wave Height-

Wave Height=sqrt((16*Coastal Cross-Shore Component)/(3*Water Density*[g]*Water Depth))

Can the Wave Height given Mean Water Surface Elevation Set down for Regular Waves be negative?

Yes, the Wave Height given Mean Water Surface Elevation Set down for Regular Waves, measured in Length can be negative.

Which unit is used to measure Wave Height given Mean Water Surface Elevation Set down for Regular Waves?

Wave Height given Mean Water Surface Elevation Set down for Regular Waves is usually measured using the Meter[m] for Length. Millimeter[m], Kilometer[m], Decimeter[m] are the few other units in which Wave Height given Mean Water Surface Elevation Set down for Regular Waves can be measured.

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Wave Height given Mean Water Surface Elevation Set down for Regular Waves Formula

​GoWave Height given Cross-Shore Component Formula

Wave Height given Mean Water Surface Elevation Set down for Regular Waves Example

Wave Height given Mean Water Surface Elevation Set down for Regular Waves Solution

Wave Height given Mean Water Surface Elevation Set down for Regular Waves Formula Elements

Other Formulas to find Wave Height

Other formulas in Wave Setup category

How to Evaluate Wave Height given Mean Water Surface Elevation Set down for Regular Waves?

FAQs on Wave Height given Mean Water Surface Elevation Set down for Regular Waves

Variable Name

GoWave Height given Cross-Shore Component Formula