Longshore Current Speed Calculator

✖Modified Beach Slope for Wave setup depends on beach slope and breaker depth index.ⓘ Modified Beach Slope [β^*]			+10% -10%
✖Breaker Depth Index is the ratio of the wave height at breaking, to the water depth, at the breakpoint.ⓘ Breaker Depth Index [γ_b]			+10% -10%
✖Water Depth is the depth measured from the water level to the bottom of the considered water body.ⓘ Water Depth [D]			+10% -10%
✖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.ⓘ Wave Crest Angle [α]			+10% -10%
✖Bottom Friction Coefficient (BFC) is one of the key parameters affecting the accuracy of the simulation of tide, storm surge and suspended sediment transport.ⓘ Bottom Friction Coefficient [C_f]			+10% -10%

✖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.ⓘ Longshore Current Speed [V]

⎘ Copy

👎

Formula

LaTeX

Reset

👍

Download Nearshore Currents Formulas PDF PDF Image

Longshore Current Speed Solution

STEP 0: Pre-Calculation Summary

Formula Used

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
V = (5*pi/16)*tan(β^*)*γ_b*sqrt([g]*D)*sin(α)*cos(α)/C_f
This formula uses 2 Constants, 4 Functions, 6 Variables

Constants Used

[g] - Gravitational acceleration on Earth Value Taken As 9.80665
pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Functions Used

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., sin(Angle)
cos - Cosine of an angle is the ratio of the side adjacent to the angle to the hypotenuse of the triangle., 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., 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., sqrt(Number)

Variables Used

Longshore Current Speed - (Measured in Meter per Second) - 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.
Modified Beach Slope - Modified Beach Slope for Wave setup depends on beach slope and breaker depth index.
Breaker Depth Index - Breaker Depth Index is the ratio of the wave height at breaking, to the water depth, at the breakpoint.
Water Depth - (Measured in Meter) - Water Depth is the depth measured from the water level to the bottom of the considered water body.
Wave Crest Angle - (Measured in Radian) - 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.
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.

STEP 1: Convert Input(s) to Base Unit

Modified Beach Slope: 0.14 --> No Conversion Required
Breaker Depth Index: 0.32 --> No Conversion Required
Water Depth: 11.99 Meter --> 11.99 Meter No Conversion Required
Wave Crest Angle: 60 Degree --> 1.0471975511964 Radian (Check conversion here)
Bottom Friction Coefficient: 0.005 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

V = (5*pi/16)*tan(β^*)*γ_b*sqrt([g]*D)*sin(α)*cos(α)/C_f --> (5*pi/16)*tan(0.14)*0.32*sqrt([g]*11.99)*sin(1.0471975511964)*cos(1.0471975511964)/0.005

Evaluating ... ...

V = 41.5746793451125

STEP 3: Convert Result to Output's Unit

41.5746793451125 Meter per Second --> No Conversion Required

FINAL ANSWER

41.5746793451125 ≈ 41.57468 Meter per Second <-- Longshore Current Speed

(Calculation completed in 00.004 seconds)

You are here -

Home » Engineering » Civil » Coastal and Ocean Engineering » Surf Zone Hydrodynamics » Nearshore Currents » Longshore Current » Longshore Current Speed

Credits

Created by Mithila Muthamma PA

Coorg Institute of Technology (CIT), Coorg

Mithila Muthamma PA has created this Calculator and 2000+ more calculators!

Verified by M Naveen

National Institute of Technology (NIT), Warangal

M Naveen has verified this Calculator and 900+ more calculators!

< Longshore Current Calculators

Longshore Current Speed

LaTeX Go 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

Ratio of Wave Group Speed and Phase Speed

LaTeX Go Ratio of Wave Group Speed and Phase Speed = (Radiation Stress Component*8)/(Mass Density*[g]*Wave Height^2*cos(Wave Crest Angle)*sin(Wave Crest Angle))

Radiation Stress Component

LaTeX Go Radiation Stress Component = (Ratio of Wave Group Speed and Phase Speed/8)*Mass Density*[g]*(Wave Height^2)*cos(Wave Crest Angle)*sin(Wave Crest Angle)

Wave Height given Radiation Stress Component

LaTeX Go Wave Height = sqrt((Radiation Stress Component*8)/Mass Density*[g]*cos(Wave Crest Angle)*sin(Wave Crest Angle))

Longshore Current Speed Formula

LaTeX Go

What is Longshore Drift & Longshore Current?

Longshore drift from longshore current is a geological process that consists of the transportation of sediments along a coast parallel to the shoreline, which is dependent on oblique incoming wave direction.
Wave and Wind induced longshore currents flow parallel to the shoreline and are strongest in the surf zone, decaying rapidly seaward of the breakers. These currents are generated by gradients in momentum flux (radiation stress) due to the decay of obliquely incident waves and the longshore component of the wind.

What is Wave setup and Wave set down?

In fluid dynamics, wave setup is the increase in mean water level due to the presence of breaking waves. Similarly, wave set down is a wave-induced decrease of the mean water level before the waves break.

How to Calculate Longshore Current Speed?

Longshore Current Speed calculator 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 calculate 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 calculate Longshore Current Speed using this online calculator? To use this online calculator 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. Here is how the Longshore Current Speed calculation can be explained with given input values -> 41.59201 = (5*pi/16)*tan(0.14)*0.32*sqrt([g]*11.99)*sin(1.0471975511964)*cos(1.0471975511964)/0.005.

FAQ

What is 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 and is represented as V = (5*pi/16)*tan(β^*)*γ_b*sqrt([g]*D)*sin(α)*cos(α)/C_f or 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. Modified Beach Slope for Wave setup depends on beach slope and breaker depth index, Breaker Depth Index is the ratio of the wave height at breaking, to the water depth, at the breakpoint, Water Depth is the depth measured from the water level to the bottom of the considered water body, 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 & Bottom Friction Coefficient (BFC) is one of the key parameters affecting the accuracy of the simulation of tide, storm surge and suspended sediment transport.

How to calculate 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 is calculated using 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 calculate Longshore Current Speed, you need Modified Beach Slope (β^*), Breaker Depth Index (γ_b), Water Depth (D), Wave Crest Angle (α) & Bottom Friction Coefficient (C_f). With our tool, you need to enter the respective value for Modified Beach Slope, Breaker Depth Index, Water Depth, Wave Crest Angle & Bottom Friction Coefficient and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

Home

FREE PDFs

🔍 Search