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Horizontal Component of Local Fluid Velocity Formula

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Horizontal Component of Velocity is the speed of water movement parallel to the shoreline. It's a crucial parameter in understanding coastal dynamics and plays a significant role in coastal processes. Check FAQs

H v = (H w \cdot [g] \cdot \frac{T p}{2 \cdot λ}) \cdot (\frac{\cosh (\frac{2 \cdot π \cdot D Z+d}{λ})}{\cosh (\frac{2 \cdot π \cdot d}{λ})}) \cdot \cos (θ)

H_v - Horizontal Component of Velocity?H_w - Height of the Wave?T_p - Wave Period?λ - Wavelength of Wave?D_Z+d - Distance above the Bottom?d - Water Depth for Fluid Velocity?θ - Phase Angle?[g] - Gravitational acceleration on Earth?π - Archimedes' constant?

Horizontal Component of Local Fluid Velocity Example

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Here is how the Horizontal Component of Local Fluid Velocity equation looks like with Values.

Here is how the Horizontal Component of Local Fluid Velocity equation looks like with Units.

Here is how the Horizontal Component of Local Fluid Velocity equation looks like.

13.4963 = (14 \cdot 9.8066 \cdot \frac{95}{2 \cdot 32}) \cdot (\frac{\cosh (\frac{2 \cdot 3.1416 \cdot 2}{32})}{\cosh (\frac{2 \cdot 3.1416 \cdot 17}{32})}) \cdot \cos (30)

13.4963m/s = (14m \cdot 9.8066m/s² \cdot \frac{95s}{2 \cdot 32m}) \cdot (\frac{\cosh (\frac{2 \cdot 3.1416 \cdot 2m}{32m})}{\cosh (\frac{2 \cdot 3.1416 \cdot 17m}{32m})}) \cdot \cos (30°)

13.4963 = (14 \cdot 9.8066 \cdot \frac{95}{2 \cdot 32}) \cdot (\frac{\cosh (\frac{2 \cdot 3.1416 \cdot 2}{32})}{\cosh (\frac{2 \cdot 3.1416 \cdot 17}{32})}) \cdot \cos (30)

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Home » Engineering » Civil » Coastal and Ocean Engineering » Horizontal Component of Local Fluid Velocity

Horizontal Component of Local Fluid Velocity Solution

Follow our step by step solution on how to calculate Horizontal Component of Local Fluid Velocity?

FIRST Step Consider the formula

H v = (H w \cdot [g] \cdot \frac{T p}{2 \cdot λ}) \cdot (\frac{\cosh (\frac{2 \cdot π \cdot D Z+d}{λ})}{\cosh (\frac{2 \cdot π \cdot d}{λ})}) \cdot \cos (θ)

Next Step Substitute values of Variables

∴

H v = (14m \cdot [g] \cdot \frac{95s}{2 \cdot 32m}) \cdot (\frac{\cosh (\frac{2 \cdot π \cdot 2m}{32m})}{\cosh (\frac{2 \cdot π \cdot 17m}{32m})}) \cdot \cos (30°)

Next Step Substitute values of Constants

∴

H v = (14m \cdot 9.8066m/s² \cdot \frac{95s}{2 \cdot 32m}) \cdot (\frac{\cosh (\frac{2 \cdot 3.1416 \cdot 2m}{32m})}{\cosh (\frac{2 \cdot 3.1416 \cdot 17m}{32m})}) \cdot \cos (30°)

Next Step Convert Units

∴

H v = (14m \cdot 9.8066m/s² \cdot \frac{95s}{2 \cdot 32m}) \cdot (\frac{\cosh (\frac{2 \cdot 3.1416 \cdot 2m}{32m})}{\cosh (\frac{2 \cdot 3.1416 \cdot 17m}{32m})}) \cdot \cos (0.5236rad)

Next Step Prepare to Evaluate

∴

H v = (14 \cdot 9.8066 \cdot \frac{95}{2 \cdot 32}) \cdot (\frac{\cosh (\frac{2 \cdot 3.1416 \cdot 2}{32})}{\cosh (\frac{2 \cdot 3.1416 \cdot 17}{32})}) \cdot \cos (0.5236)

Next Step Evaluate

∴

H v = 13.4963328458748m/s

LAST Step Rounding Answer

∴

H v = 13.4963m/s

Horizontal Component of Local Fluid Velocity Formula Elements

Variables

Constants

Functions

Horizontal Component of Velocity

Symbol: H_v

Measurement: SpeedUnit: m/s

Note: Value should be greater than 0.

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.

Wave Period

Wave Period refers to the time it takes for two successive wave crests (or troughs) to pass through a given point.

Symbol: T_p

Measurement: TimeUnit: s

Note: Value should be greater than 0.

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.

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.

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.

Phase Angle

Phase Angle refers to the time lag between the maximum amplitude of a forcing function, such as waves or currents, and the response of the system, such as water level or sediment transport.

Symbol: θ

Measurement: AngleUnit: °

Note: Value can be positive or negative.

Gravitational acceleration on Earth

Gravitational acceleration on Earth means that the velocity of an object in free fall will increase by 9.8 m/s2 every second.

Symbol: [g]

Value: 9.80665 m/s²

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

cos

Cosine of an angle is the ratio of the side adjacent to the angle to the hypotenuse of the triangle.

Syntax: cos(Angle)

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)

Credits

Created by Mithila Muthamma PA

Coorg Institute of Technology (CIT), Coorg

Mithila Muthamma PA has created this Formula and 2000+ more formulas!

Verified by Chandana P Dev

NSS College of Engineering (NSSCE), Palakkad

Chandana P Dev has verified this Formula and 1700+ more formulas!

Other formulas in Local Fluid Velocity category

Go Vertical Component of Local Fluid Velocity

V v = (H w \cdot [g] \cdot \frac{T p}{2 \cdot λ}) \cdot (\frac{\sinh (2 \cdot π \cdot \frac{D Z+d}{λ})}{\cosh (2 \cdot π \cdot \frac{d}{λ})}) \cdot \sin (θ)

Go Local Fluid Particle Acceleration of Horizontal Component

a x = ([g] \cdot π \cdot \frac{H w}{λ}) \cdot (\frac{\cosh (2 \cdot π \cdot \frac{D Z+d}{λ})}{\cosh (2 \cdot π \cdot \frac{d}{λ})}) \cdot \sin (θ)

How to Evaluate Horizontal Component of Local Fluid Velocity?

Horizontal Component of Local Fluid Velocity evaluator uses Horizontal Component of Velocity = (Height of the Wave*[g]*Wave Period/(2*Wavelength of Wave))*((cosh((2*pi*Distance above the Bottom)/Wavelength of Wave))/(cosh((2*pi*Water Depth for Fluid Velocity)/Wavelength of Wave)))*cos(Phase Angle) to evaluate the Horizontal Component of Velocity, The Horizontal Component of Local Fluid Velocity formula is defined as the speed and direction of water movement parallel to the shoreline at a specific point. Horizontal Component of Velocity is denoted by H_v symbol.

How to evaluate Horizontal Component of Local Fluid Velocity using this online evaluator? To use this online evaluator for Horizontal Component of Local Fluid Velocity, enter Height of the Wave (H_w), Wave Period (T_p), Wavelength of Wave (λ), Distance above the Bottom (D_Z+d), Water Depth for Fluid Velocity (d) & Phase Angle (θ) and hit the calculate button.

FAQs on Horizontal Component of Local Fluid Velocity

What is the formula to find Horizontal Component of Local Fluid Velocity?

The formula of Horizontal Component of Local Fluid Velocity is expressed as Horizontal Component of Velocity = (Height of the Wave*[g]*Wave Period/(2*Wavelength of Wave))*((cosh((2*pi*Distance above the Bottom)/Wavelength of Wave))/(cosh((2*pi*Water Depth for Fluid Velocity)/Wavelength of Wave)))*cos(Phase Angle). Here is an example- 13.49633 = (14*[g]*95/(2*32))*((cosh((2*pi*2)/32))/(cosh((2*pi*17)/32)))*cos(0.5235987755982).

How to calculate Horizontal Component of Local Fluid Velocity?

With Height of the Wave (H_w), Wave Period (T_p), Wavelength of Wave (λ), Distance above the Bottom (D_Z+d), Water Depth for Fluid Velocity (d) & Phase Angle (θ) we can find Horizontal Component of Local Fluid Velocity using the formula - Horizontal Component of Velocity = (Height of the Wave*[g]*Wave Period/(2*Wavelength of Wave))*((cosh((2*pi*Distance above the Bottom)/Wavelength of Wave))/(cosh((2*pi*Water Depth for Fluid Velocity)/Wavelength of Wave)))*cos(Phase Angle). This formula also uses Gravitational acceleration on Earth, Archimedes' constant and , Cosine (cos), Hyperbolic Cosine (cosh) function(s).

Can the Horizontal Component of Local Fluid Velocity be negative?

No, the Horizontal Component of Local Fluid Velocity, measured in Speed cannot be negative.

Which unit is used to measure Horizontal Component of Local Fluid Velocity?

Horizontal Component of Local Fluid Velocity 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 Horizontal Component of Local Fluid Velocity can be measured.

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Horizontal Component of Local Fluid Velocity Formula

Horizontal Component of Local Fluid Velocity Example

Horizontal Component of Local Fluid Velocity Solution

Horizontal Component of Local Fluid Velocity Formula Elements

Credits

Other formulas in Local Fluid Velocity category

How to Evaluate Horizontal Component of Local Fluid Velocity?

FAQs on Horizontal Component of Local Fluid Velocity

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