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Set down for Regular Waves Formula

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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. Check FAQs

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

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

Set down for Regular Waves Example

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Here is how the Set down for Regular Waves equation looks like with Values.

Here is how the Set down for Regular Waves equation looks like with Units.

Here is how the Set down for Regular Waves equation looks like.

-0.5147 = (- \frac{1}{8}) \cdot (\frac{3^{2} \cdot (2 \cdot \frac{3.1416}{26.8})}{\sinh (4 \cdot 3.1416 \cdot \frac{1.05}{26.8})})

-0.5147m = (- \frac{1}{8}) \cdot (\frac{{3m}^{2} \cdot (2 \cdot \frac{3.1416}{26.8m})}{\sinh (4 \cdot 3.1416 \cdot \frac{1.05m}{26.8m})})

-0.5147 = (- \frac{1}{8}) \cdot (\frac{3^{2} \cdot (2 \cdot \frac{3.1416}{26.8})}{\sinh (4 \cdot 3.1416 \cdot \frac{1.05}{26.8})})

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Set down for Regular Waves Solution

Follow our step by step solution on how to calculate Set down for Regular Waves?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

η' o = (- \frac{1}{8}) \cdot (\frac{{3m}^{2} \cdot (2 \cdot \frac{π}{26.8m})}{\sinh (4 \cdot π \cdot \frac{1.05m}{26.8m})})

Next Step Substitute values of Constants

∴

η' o = (- \frac{1}{8}) \cdot (\frac{{3m}^{2} \cdot (2 \cdot \frac{3.1416}{26.8m})}{\sinh (4 \cdot 3.1416 \cdot \frac{1.05m}{26.8m})})

Next Step Prepare to Evaluate

∴

η' o = (- \frac{1}{8}) \cdot (\frac{3^{2} \cdot (2 \cdot \frac{3.1416}{26.8})}{\sinh (4 \cdot 3.1416 \cdot \frac{1.05}{26.8})})

Next Step Evaluate

∴

η' o = -0.51466840656291m

LAST Step Rounding Answer

∴

η' o = -0.5147m

Set down for Regular Waves Formula Elements

Variables

Constants

Functions

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

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

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

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

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

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

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

How to Evaluate Set down for Regular Waves?

Set down for Regular Waves evaluator uses Mean Water Surface Elevation of Coast = (-1/8)*((Wave Height^2*(2*pi/Wavelength of Coast))/(sinh(4*pi*Water Depth/Wavelength of Coast))) to evaluate the Mean Water Surface Elevation of Coast, The Set down for Regular Waves formula is defined as the set down in mean water level for a regular wave (wave component) that has a single frequency (wavelength) and amplitude (height). Mean Water Surface Elevation of Coast is denoted by η'_o symbol.

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

FAQs on Set down for Regular Waves

What is the formula to find Set down for Regular Waves?

The formula of Set down for Regular Waves is expressed as Mean Water Surface Elevation of Coast = (-1/8)*((Wave Height^2*(2*pi/Wavelength of Coast))/(sinh(4*pi*Water Depth/Wavelength of Coast))). Here is an example- -0.514668 = (-1/8)*((3^2*(2*pi/26.8))/(sinh(4*pi*1.05/26.8))).

How to calculate Set down for Regular Waves?

With Wave Height (H), Wavelength of Coast (λ) & Water Depth (d) we can find Set down for Regular Waves using the formula - Mean Water Surface Elevation of Coast = (-1/8)*((Wave Height^2*(2*pi/Wavelength of Coast))/(sinh(4*pi*Water Depth/Wavelength of Coast))). This formula also uses Archimedes' constant and Hyperbolic Sine (sinh) function(s).

Can the Set down for Regular Waves be negative?

Yes, the Set down for Regular Waves, measured in Length can be negative.

Which unit is used to measure Set down for Regular Waves?

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 Set down for Regular Waves can be measured.

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Set down for Regular Waves Formula

Set down for Regular Waves Example

Set down for Regular Waves Solution

Set down for Regular Waves Formula Elements

Other formulas in Wave Setup category

How to Evaluate Set down for Regular Waves?

FAQs on Set down for Regular Waves

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