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Mass Transport Velocity to Second Order Formula

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

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}}

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

Mass Transport Velocity to Second Order Example

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

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

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

0.1522 = {(3.1416 \cdot \frac{14}{32})}^{2} \cdot \frac{24.05 \cdot \cosh (4 \cdot 3.1416 \cdot \frac{2}{32})}{2 \cdot {\sinh (2 \cdot 3.1416 \cdot \frac{17}{32})}^{2}}

0.1522m/s = {(3.1416 \cdot \frac{14m}{32m})}^{2} \cdot \frac{24.05m/s \cdot \cosh (4 \cdot 3.1416 \cdot \frac{2m}{32m})}{2 \cdot {\sinh (2 \cdot 3.1416 \cdot \frac{17m}{32m})}^{2}}

0.1522 = {(3.1416 \cdot \frac{14}{32})}^{2} \cdot \frac{24.05 \cdot \cosh (4 \cdot 3.1416 \cdot \frac{2}{32})}{2 \cdot {\sinh (2 \cdot 3.1416 \cdot \frac{17}{32})}^{2}}

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Mass Transport Velocity to Second Order Solution

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

FIRST Step Consider the formula

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}}

Next Step Substitute values of Variables

∴

U z = {(π \cdot \frac{14m}{32m})}^{2} \cdot \frac{24.05m/s \cdot \cosh (4 \cdot π \cdot \frac{2m}{32m})}{2 \cdot {\sinh (2 \cdot π \cdot \frac{17m}{32m})}^{2}}

Next Step Substitute values of Constants

∴

U z = {(3.1416 \cdot \frac{14m}{32m})}^{2} \cdot \frac{24.05m/s \cdot \cosh (4 \cdot 3.1416 \cdot \frac{2m}{32m})}{2 \cdot {\sinh (2 \cdot 3.1416 \cdot \frac{17m}{32m})}^{2}}

Next Step Prepare to Evaluate

∴

U z = {(3.1416 \cdot \frac{14}{32})}^{2} \cdot \frac{24.05 \cdot \cosh (4 \cdot 3.1416 \cdot \frac{2}{32})}{2 \cdot {\sinh (2 \cdot 3.1416 \cdot \frac{17}{32})}^{2}}

Next Step Evaluate

∴

U z = 0.152154520491551m/s

LAST Step Rounding Answer

∴

U z = 0.1522m/s

Mass Transport Velocity to Second Order Formula Elements

Variables

Constants

Functions

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

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

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

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

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 Wave Height for Mass Transport Velocity to Second Order

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})

How to Evaluate Mass Transport Velocity to Second Order?

Mass Transport Velocity to Second Order evaluator uses Mass Transport Velocity = (pi*Height of the Wave/Wavelength of Wave)^2*(Celerity of the Wave*cosh(4*pi*(Distance above the Bottom)/Wavelength of Wave))/(2*sinh(2*pi*Water Depth for Fluid Velocity/Wavelength of Wave)^2) to evaluate the Mass Transport Velocity, The Mass Transport Velocity to Second Order may be measured as the ratio of the displacement of a particle to the length of the corresponding time interval provided and that the contribution from the second-order terms is large compared with that from the first- order terms. Mass Transport Velocity is denoted by U_z symbol.

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

FAQs on Mass Transport Velocity to Second Order

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

The formula of Mass Transport Velocity to Second Order is expressed as Mass Transport Velocity = (pi*Height of the Wave/Wavelength of Wave)^2*(Celerity of the Wave*cosh(4*pi*(Distance above the Bottom)/Wavelength of Wave))/(2*sinh(2*pi*Water Depth for Fluid Velocity/Wavelength of Wave)^2). Here is an example- 0.152155 = (pi*14/32)^2*(24.05*cosh(4*pi*(2)/32))/(2*sinh(2*pi*17/32)^2).

How to calculate Mass Transport Velocity to Second Order?

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

Can the Mass Transport Velocity to Second Order be negative?

Yes, the Mass Transport Velocity to Second Order, measured in Speed can be negative.

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

Mass Transport Velocity to Second Order is usually measured using the Meter per Second[m/s] for Speed. Meter per Minute[m/s], Meter per Hour[m/s], Kilometer per Hour[m/s] are the few other units in which Mass Transport Velocity to Second Order can be measured.

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Mass Transport Velocity to Second Order Formula

Mass Transport Velocity to Second Order Example

Mass Transport Velocity to Second Order Solution

Mass Transport Velocity to Second Order Formula Elements

Other formulas in Mass Transport Velocity category

How to Evaluate Mass Transport Velocity to Second Order?

FAQs on Mass Transport Velocity to Second Order

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