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Wave Height for Mass Transport Velocity to Second Order Formula

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

H w = (λ \cdot \frac{{(U z \cdot (2 \cdot \frac{{\sinh (2 \cdot π \cdot \frac{d}{λ})}^{2}}{C \cdot \cosh (4 \cdot π \cdot \frac{D Z+d}{λ})}))}^{0.5}}{π})

H_w - Height of the Wave?λ - Wavelength of Wave?U_z - Mass Transport Velocity?d - Water Depth for Fluid Velocity?C - Celerity of the Wave?D_Z+d - Distance above the Bottom?π - Archimedes' constant?

Wave Height for Mass Transport Velocity to Second Order Example

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Here is how the Wave Height for Mass Transport Velocity to Second Order equation looks like with Values.

Here is how the Wave Height for Mass Transport Velocity to Second Order equation looks like with Units.

Here is how the Wave Height for Mass Transport Velocity to Second Order equation looks like.

13.9929 = (32 \cdot \frac{{(0.152 \cdot (2 \cdot \frac{{\sinh (2 \cdot 3.1416 \cdot \frac{17}{32})}^{2}}{24.05 \cdot \cosh (4 \cdot 3.1416 \cdot \frac{2}{32})}))}^{0.5}}{3.1416})

13.9929m = (32m \cdot \frac{{(0.152m/s \cdot (2 \cdot \frac{{\sinh (2 \cdot 3.1416 \cdot \frac{17m}{32m})}^{2}}{24.05m/s \cdot \cosh (4 \cdot 3.1416 \cdot \frac{2m}{32m})}))}^{0.5}}{3.1416})

13.9929 = (32 \cdot \frac{{(0.152 \cdot (2 \cdot \frac{{\sinh (2 \cdot 3.1416 \cdot \frac{17}{32})}^{2}}{24.05 \cdot \cosh (4 \cdot 3.1416 \cdot \frac{2}{32})}))}^{0.5}}{3.1416})

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Wave Height for Mass Transport Velocity to Second Order Solution

Follow our step by step solution on how to calculate Wave Height for Mass Transport Velocity to Second Order?

FIRST Step Consider the formula

H w = (λ \cdot \frac{{(U z \cdot (2 \cdot \frac{{\sinh (2 \cdot π \cdot \frac{d}{λ})}^{2}}{C \cdot \cosh (4 \cdot π \cdot \frac{D Z+d}{λ})}))}^{0.5}}{π})

Next Step Substitute values of Variables

∴

H w = (32m \cdot \frac{{(0.152m/s \cdot (2 \cdot \frac{{\sinh (2 \cdot π \cdot \frac{17m}{32m})}^{2}}{24.05m/s \cdot \cosh (4 \cdot π \cdot \frac{2m}{32m})}))}^{0.5}}{π})

Next Step Substitute values of Constants

∴

H w = (32m \cdot \frac{{(0.152m/s \cdot (2 \cdot \frac{{\sinh (2 \cdot 3.1416 \cdot \frac{17m}{32m})}^{2}}{24.05m/s \cdot \cosh (4 \cdot 3.1416 \cdot \frac{2m}{32m})}))}^{0.5}}{3.1416})

Next Step Prepare to Evaluate

∴

H w = (32 \cdot \frac{{(0.152 \cdot (2 \cdot \frac{{\sinh (2 \cdot 3.1416 \cdot \frac{17}{32})}^{2}}{24.05 \cdot \cosh (4 \cdot 3.1416 \cdot \frac{2}{32})}))}^{0.5}}{3.1416})

Next Step Evaluate

∴

H w = 13.9928893456955m

LAST Step Rounding Answer

∴

H w = 13.9929m

Wave Height for Mass Transport Velocity to Second Order Formula Elements

Variables

Constants

Functions

Height of the Wave

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

Symbol: H_w

Measurement: LengthUnit: m

Note: Value can be positive or negative.

Formulas to find Height of the Wave

Wavelength of Wave

Wavelength of Wave refers to the distance between consecutive corresponding points of the same phase on the wave, such as two adjacent crests, troughs, or zero crossings.

Symbol: λ

Measurement: LengthUnit: m

Note: Value can be positive or negative.

Formulas to find Wavelength of Wave

Mass Transport Velocity

Mass Transport Velocity refers to the velocity at which sediment or pollutants are transported along the coastline or within nearshore areas.

Symbol: U_z

Measurement: SpeedUnit: m/s

Note: Value can be positive or negative.

Formulas to find Mass Transport Velocity

Water Depth for Fluid Velocity

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

Symbol: d

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Water Depth for Fluid Velocity

Celerity of the Wave

Celerity of the Wave refers to the speed at which a wave propagates through a medium.

Symbol: C

Measurement: SpeedUnit: m/s

Note: Value should be greater than 0.

Formulas to find Celerity of the Wave

Distance above the Bottom

Distance above the Bottom refers to the vertical measurement from the lowest point of a given surface (such as the bottom of waterbody) to a specified point above it.

Symbol: D_Z+d

Measurement: LengthUnit: m

Note: Value can be positive or negative.

Formulas to find Distance above the Bottom

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)

cosh

The hyperbolic cosine function is a mathematical function that is defined as the ratio of the sum of the exponential functions of x and negative x to 2.

Syntax: cosh(Number)

Other formulas in Mass Transport Velocity category

Go Mass Transport Velocity to Second Order

U z = {(π \cdot \frac{H w}{λ})}^{2} \cdot \frac{C \cdot \cosh (4 \cdot π \cdot \frac{D Z+d}{λ})}{2 \cdot {\sinh (2 \cdot π \cdot \frac{d}{λ})}^{2}}

How to Evaluate Wave Height for Mass Transport Velocity to Second Order?

Wave Height for Mass Transport Velocity to Second Order evaluator uses Height of the Wave = (Wavelength of Wave*((Mass Transport Velocity*(2*sinh(2*pi*Water Depth for Fluid Velocity/Wavelength of Wave)^2/(Celerity of the Wave*cosh(4*pi*(Distance above the Bottom)/Wavelength of Wave))))^0.5)/pi) to evaluate the Height of the Wave, The Wave Height for Mass Transport Velocity to Second Order of a surface wave is the difference between the elevations of a crest and a neighboring trough. Wave height is a term used by mariners, as well as in coastal, ocean and naval engineering. Height of the Wave is denoted by H_w symbol.

How to evaluate Wave Height for Mass Transport Velocity to Second Order using this online evaluator? To use this online evaluator for Wave Height for Mass Transport Velocity to Second Order, enter Wavelength of Wave (λ), Mass Transport Velocity (U_z), Water Depth for Fluid Velocity (d), Celerity of the Wave (C) & Distance above the Bottom (D_Z+d) and hit the calculate button.

FAQs on Wave Height for Mass Transport Velocity to Second Order

What is the formula to find Wave Height for Mass Transport Velocity to Second Order?

The formula of Wave Height for Mass Transport Velocity to Second Order is expressed as Height of the Wave = (Wavelength of Wave*((Mass Transport Velocity*(2*sinh(2*pi*Water Depth for Fluid Velocity/Wavelength of Wave)^2/(Celerity of the Wave*cosh(4*pi*(Distance above the Bottom)/Wavelength of Wave))))^0.5)/pi). Here is an example- 13.99289 = (32*((0.152*(2*sinh(2*pi*17/32)^2/(24.05*cosh(4*pi*(2)/32))))^0.5)/pi).

How to calculate Wave Height for Mass Transport Velocity to Second Order?

With Wavelength of Wave (λ), Mass Transport Velocity (U_z), Water Depth for Fluid Velocity (d), Celerity of the Wave (C) & Distance above the Bottom (D_Z+d) we can find Wave Height for Mass Transport Velocity to Second Order using the formula - Height of the Wave = (Wavelength of Wave*((Mass Transport Velocity*(2*sinh(2*pi*Water Depth for Fluid Velocity/Wavelength of Wave)^2/(Celerity of the Wave*cosh(4*pi*(Distance above the Bottom)/Wavelength of Wave))))^0.5)/pi). This formula also uses Archimedes' constant and , Hyperbolic Sine (sinh), Hyperbolic Cosine (cosh) function(s).

Can the Wave Height for Mass Transport Velocity to Second Order be negative?

Yes, the Wave Height for Mass Transport Velocity to Second Order, measured in Length can be negative.

Which unit is used to measure Wave Height for Mass Transport Velocity to Second Order?

Wave Height for Mass Transport Velocity to Second Order is usually measured using the Meter[m] for Length. Millimeter[m], Kilometer[m], Decimeter[m] are the few other units in which Wave Height for Mass Transport Velocity to Second Order can be measured.

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Wave Height for Mass Transport Velocity to Second Order Formula

Wave Height for Mass Transport Velocity to Second Order Example

Wave Height for Mass Transport Velocity to Second Order Solution

Wave Height for Mass Transport Velocity to Second Order Formula Elements

Other formulas in Mass Transport Velocity category

How to Evaluate Wave Height for Mass Transport Velocity to Second Order?

FAQs on Wave Height for Mass Transport Velocity to Second Order

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