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Longshore Current Speed Formula

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Longshore Current Speed is the speed of a longshore current, which is a current that flows parallel to the shore within the zone of breaking waves. Check FAQs

V = (5 \cdot \frac{π}{16}) \cdot \tan (β *) \cdot γ b \cdot \sqrt{[g] \cdot D} \cdot \sin (α) \cdot \frac{\cos (α)}{C f}

V - Longshore Current Speed?β^* - Modified Beach Slope?γ_b - Breaker Depth Index?D - Water Depth?α - Wave Crest Angle?C_f - Bottom Friction Coefficient?[g] - Gravitational acceleration on Earth?π - Archimedes' constant?

Longshore Current Speed Example

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Here is how the Longshore Current Speed equation looks like with Values.

Here is how the Longshore Current Speed equation looks like with Units.

Here is how the Longshore Current Speed equation looks like.

41.5747 = (5 \cdot \frac{3.1416}{16}) \cdot \tan (0.14) \cdot 0.32 \cdot \sqrt{9.8066 \cdot 11.99} \cdot \sin (60) \cdot \frac{\cos (60)}{0.005}

41.5747m/s = (5 \cdot \frac{3.1416}{16}) \cdot \tan (0.14) \cdot 0.32 \cdot \sqrt{9.8066m/s² \cdot 11.99m} \cdot \sin (60°) \cdot \frac{\cos (60°)}{0.005}

41.5747 = (5 \cdot \frac{3.1416}{16}) \cdot \tan (0.14) \cdot 0.32 \cdot \sqrt{9.8066 \cdot 11.99} \cdot \sin (60) \cdot \frac{\cos (60)}{0.005}

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Longshore Current Speed Solution

Follow our step by step solution on how to calculate Longshore Current Speed?

FIRST Step Consider the formula

V = (5 \cdot \frac{π}{16}) \cdot \tan (β *) \cdot γ b \cdot \sqrt{[g] \cdot D} \cdot \sin (α) \cdot \frac{\cos (α)}{C f}

Next Step Substitute values of Variables

∴

V = (5 \cdot \frac{π}{16}) \cdot \tan (0.14) \cdot 0.32 \cdot \sqrt{[g] \cdot 11.99m} \cdot \sin (60°) \cdot \frac{\cos (60°)}{0.005}

Next Step Substitute values of Constants

∴

V = (5 \cdot \frac{3.1416}{16}) \cdot \tan (0.14) \cdot 0.32 \cdot \sqrt{9.8066m/s² \cdot 11.99m} \cdot \sin (60°) \cdot \frac{\cos (60°)}{0.005}

Next Step Convert Units

∴

V = (5 \cdot \frac{3.1416}{16}) \cdot \tan (0.14) \cdot 0.32 \cdot \sqrt{9.8066m/s² \cdot 11.99m} \cdot \sin (1.0472rad) \cdot \frac{\cos (1.0472rad)}{0.005}

Next Step Prepare to Evaluate

∴

V = (5 \cdot \frac{3.1416}{16}) \cdot \tan (0.14) \cdot 0.32 \cdot \sqrt{9.8066 \cdot 11.99} \cdot \sin (1.0472) \cdot \frac{\cos (1.0472)}{0.005}

Next Step Evaluate

∴

V = 41.5746793451125m/s

LAST Step Rounding Answer

∴

V = 41.5747m/s

Longshore Current Speed Formula Elements

Variables

Constants

Functions

Longshore Current Speed

Longshore Current Speed is the speed of a longshore current, which is a current that flows parallel to the shore within the zone of breaking waves.

Symbol: V

Measurement: SpeedUnit: m/s

Note: Value can be positive or negative.

Formulas to find Longshore Current Speed

Modified Beach Slope

Modified Beach Slope for Wave setup depends on beach slope and breaker depth index.

Symbol: β^*

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Modified Beach Slope

Breaker Depth Index

Breaker Depth Index is the ratio of the wave height at breaking, to the water depth, at the breakpoint.

Symbol: γ_b

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Breaker Depth Index

Water Depth

Water Depth is the depth 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

Wave Crest Angle

Wave Crest Angle is the angle at which the crest of a wave approaches or intersects with another medium, such as the shoreline or another wave.

Symbol: α

Measurement: AngleUnit: °

Note: Value should be greater than 0.

Formulas to find Wave Crest Angle

Bottom Friction Coefficient

Bottom Friction Coefficient (BFC) is one of the key parameters affecting the accuracy of the simulation of tide, storm surge and suspended sediment transport.

Symbol: C_f

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Bottom Friction Coefficient

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

sin

Sine is a trigonometric function that describes the ratio of the length of the opposite side of a right triangle to the length of the hypotenuse.

Syntax: sin(Angle)

cos

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

Syntax: cos(Angle)

tan

The tangent of an angle is a trigonometric ratio of the length of the side opposite an angle to the length of the side adjacent to an angle in a right triangle.

Syntax: tan(Angle)

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)

Other formulas in Longshore Current category

Go Radiation Stress Component

S xy = (\frac{n}{8}) \cdot ρ \cdot [g] \cdot (H^{2}) \cdot \cos (α) \cdot \sin (α)

Go Ratio of Wave Group Speed and Phase Speed

n = \frac{S xy \cdot 8}{ρ \cdot [g] \cdot H^{2} \cdot \cos (α) \cdot \sin (α)}

Go Wave Height given Radiation Stress Component

H = \sqrt{\frac{S xy \cdot 8}{ρ} \cdot [g] \cdot \cos (α) \cdot \sin (α)}

Go Beach Slope Modified for Wave Setup

β * = a \tan (\frac{\tan (β)}{1 + (3 \cdot \frac{{γ b}^{2}}{8})})

How to Evaluate Longshore Current Speed?

Longshore Current Speed evaluator uses Longshore Current Speed = (5*pi/16)*tan(Modified Beach Slope)*Breaker Depth Index*sqrt([g]*Water Depth)*sin(Wave Crest Angle)*cos(Wave Crest Angle)/Bottom Friction Coefficient to evaluate the Longshore Current Speed, The Longshore Current Speed formula is defined as the velocity of a current that flows parallel to the shore within the zone of breaking waves which is related to the size of the waves and their angle of approach. Longshore Current Speed is denoted by V symbol.

How to evaluate Longshore Current Speed using this online evaluator? To use this online evaluator for Longshore Current Speed, enter Modified Beach Slope (β^*), Breaker Depth Index (γ_b), Water Depth (D), Wave Crest Angle (α) & Bottom Friction Coefficient (C_f) and hit the calculate button.

FAQs on Longshore Current Speed

What is the formula to find Longshore Current Speed?

The formula of Longshore Current Speed is expressed as Longshore Current Speed = (5*pi/16)*tan(Modified Beach Slope)*Breaker Depth Index*sqrt([g]*Water Depth)*sin(Wave Crest Angle)*cos(Wave Crest Angle)/Bottom Friction Coefficient. Here is an example- 41.59201 = (5*pi/16)*tan(0.14)*0.32*sqrt([g]*11.99)*sin(1.0471975511964)*cos(1.0471975511964)/0.005.

How to calculate Longshore Current Speed?

With Modified Beach Slope (β^*), Breaker Depth Index (γ_b), Water Depth (D), Wave Crest Angle (α) & Bottom Friction Coefficient (C_f) we can find Longshore Current Speed using the formula - Longshore Current Speed = (5*pi/16)*tan(Modified Beach Slope)*Breaker Depth Index*sqrt([g]*Water Depth)*sin(Wave Crest Angle)*cos(Wave Crest Angle)/Bottom Friction Coefficient. This formula also uses Gravitational acceleration on Earth, Archimedes' constant and , Sine (sin), Cosine (cos), Tangent (tan), Square Root (sqrt) function(s).

Can the Longshore Current Speed be negative?

Yes, the Longshore Current Speed, measured in Speed can be negative.

Which unit is used to measure Longshore Current Speed?

Longshore Current Speed 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 Longshore Current Speed can be measured.

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Longshore Current Speed Formula

Longshore Current Speed Example

Longshore Current Speed Solution

Longshore Current Speed Formula Elements

Other formulas in Longshore Current category

How to Evaluate Longshore Current Speed?

FAQs on Longshore Current Speed

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