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*)*γb*sqrt([g]*D)*sin(α)*cos(α)/Cf
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 [length/time]. A longshore current is an ocean current that moves parallel to shore.
Modified Beach Slope - Modified Beach Slope for Wave setup depends on beach slope and breaker depth index.
Breaker Depth Index - Breaker Depth Index is commonly used to define the wave height at breaking.
Water Depth - (Measured in Meter) - Water depth means the depth as measured from the water level to the bottom of the considered water body.
Wave Crest Angle - (Measured in Radian) - Wave Crest Angle relative to bottom contours.
Bottom Friction Coefficient - Bottom Friction Coefficient with typical values in the range of 0.005 to 0.01.
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: 12 Meter --> 12 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*)*γb*sqrt([g]*D)*sin(α)*cos(α)/Cf --> (5*pi/16)*tan(0.14)*0.32*sqrt([g]*12)*sin(1.0471975511964)*cos(1.0471975511964)/0.005
Evaluating ... ...
V = 41.5920129624364
STEP 3: Convert Result to Output's Unit
41.5920129624364 Meter per Second --> No Conversion Required
FINAL ANSWER
41.5920129624364 41.59201 Meter per Second <-- Longshore Current Speed
(Calculation completed in 00.020 seconds)

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
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7 Longshore Current Calculators

Longshore Current Speed
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
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
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
Go Wave Height = sqrt((Radiation Stress Component*8)/Mass Density*[g]*cos(Wave Crest Angle)*sin(Wave Crest Angle))
Longshore Current at Mid-Surf Zone
Go Longshore Current at the Mid-Surf Zone = 1.17*sqrt([g]*Root-mean-square Wave Height)*sin(Wave Crest Angle)*cos(Wave Crest Angle)
Root-mean-square Wave Height at Breaking given Longshore Current at Mid-Surf Zone
Go Root-mean-square Wave Height = ((Longshore Current at the Mid-Surf Zone/(1.17*sin(Wave Crest Angle)*cos(Wave Crest Angle)))^0.5)/[g]
Beach Slope modified for Wave Setup
Go Modified Beach Slope = atan(tan(Beach Slope)/(1+(3*Breaker Depth Index^2/8)))

Longshore Current Speed 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
V = (5*pi/16)*tan(β*)*γb*sqrt([g]*D)*sin(α)*cos(α)/Cf

What is Longshore Current?

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.

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 carries sediment along the shoreline, the so-called littoral drift; this mechanism is Coastal Hydrodynamics And Transport Processes and Littoral drift and shoreline modelling. 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 *), Breaker Depth Index b), Water Depth (D), Wave Crest Angle (α) & Bottom Friction Coefficient (Cf) and hit the calculate button. Here is how the Longshore Current Speed calculation can be explained with given input values -> 25.99501 = (5*pi/16)*tan(0.14)*0.32*sqrt([g]*12)*sin(1.0471975511964)*cos(1.0471975511964)/0.005.

FAQ

What is Longshore Current Speed?
The Longshore Current Speed carries sediment along the shoreline, the so-called littoral drift; this mechanism is Coastal Hydrodynamics And Transport Processes and Littoral drift and shoreline modelling and is represented as V = (5*pi/16)*tan(β*)*γb*sqrt([g]*D)*sin(α)*cos(α)/Cf 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 commonly used to define the wave height at breaking, Water depth means the depth as measured from the water level to the bottom of the considered water body, Wave Crest Angle relative to bottom contours & Bottom Friction Coefficient with typical values in the range of 0.005 to 0.01.
How to calculate Longshore Current Speed?
The Longshore Current Speed carries sediment along the shoreline, the so-called littoral drift; this mechanism is Coastal Hydrodynamics And Transport Processes and Littoral drift and shoreline modelling 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 *), Breaker Depth Index b), Water Depth (D), Wave Crest Angle (α) & Bottom Friction Coefficient (Cf). 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.
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