Longshore Current at Mid-Surf Zone Solution

STEP 0: Pre-Calculation Summary
Formula Used
Longshore Current at the Mid-Surf Zone = 1.17*sqrt([g]*Root-mean-square Wave Height)*sin(Wave Crest Angle)*cos(Wave Crest Angle)
Vmid = 1.17*sqrt([g]*Hrms)*sin(α)*cos(α)
This formula uses 1 Constants, 3 Functions, 3 Variables
Constants Used
[g] - Gravitational acceleration on Earth Value Taken As 9.80665
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)
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 at the Mid-Surf Zone - (Measured in Meter per Second) - Longshore Current at the Mid-Surf Zone where this current is generated when a train of waves reach the coastline and releases bursts of energy.
Root-mean-square Wave Height - (Measured in Meter) - Root-mean-square Wave Height is defined as square root of the average of the squares of all wave heights.
Wave Crest Angle - (Measured in Radian) - Wave Crest Angle relative to bottom contours.
STEP 1: Convert Input(s) to Base Unit
Root-mean-square Wave Height: 50 Meter --> 50 Meter No Conversion Required
Wave Crest Angle: 60 Degree --> 1.0471975511964 Radian (Check conversion here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Vmid = 1.17*sqrt([g]*Hrms)*sin(α)*cos(α) --> 1.17*sqrt([g]*50)*sin(1.0471975511964)*cos(1.0471975511964)
Evaluating ... ...
Vmid = 11.2184236797971
STEP 3: Convert Result to Output's Unit
11.2184236797971 Meter per Second --> No Conversion Required
FINAL ANSWER
11.2184236797971 11.21842 Meter per Second <-- Longshore Current at the Mid-Surf Zone
(Calculation completed in 00.004 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 at Mid-Surf Zone Formula

Longshore Current at the Mid-Surf Zone = 1.17*sqrt([g]*Root-mean-square Wave Height)*sin(Wave Crest Angle)*cos(Wave Crest Angle)
Vmid = 1.17*sqrt([g]*Hrms)*sin(α)*cos(α)

What is Longshore drift?

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.

How to Calculate Longshore Current at Mid-Surf Zone?

Longshore Current at Mid-Surf Zone calculator uses Longshore Current at the Mid-Surf Zone = 1.17*sqrt([g]*Root-mean-square Wave Height)*sin(Wave Crest Angle)*cos(Wave Crest Angle) to calculate the Longshore Current at the Mid-Surf Zone, The Longshore Current at Mid-Surf Zone formula defines ocean current that moves parallel to shore. It is caused by large swells sweeping into shoreline at angle and pushing water down length of beach in one direction. Longshore Current at the Mid-Surf Zone is denoted by Vmid symbol.

How to calculate Longshore Current at Mid-Surf Zone using this online calculator? To use this online calculator for Longshore Current at Mid-Surf Zone, enter Root-mean-square Wave Height (Hrms) & Wave Crest Angle (α) and hit the calculate button. Here is how the Longshore Current at Mid-Surf Zone calculation can be explained with given input values -> 11.21842 = 1.17*sqrt([g]*50)*sin(1.0471975511964)*cos(1.0471975511964).

FAQ

What is Longshore Current at Mid-Surf Zone?
The Longshore Current at Mid-Surf Zone formula defines ocean current that moves parallel to shore. It is caused by large swells sweeping into shoreline at angle and pushing water down length of beach in one direction and is represented as Vmid = 1.17*sqrt([g]*Hrms)*sin(α)*cos(α) or 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 is defined as square root of the average of the squares of all wave heights & Wave Crest Angle relative to bottom contours.
How to calculate Longshore Current at Mid-Surf Zone?
The Longshore Current at Mid-Surf Zone formula defines ocean current that moves parallel to shore. It is caused by large swells sweeping into shoreline at angle and pushing water down length of beach in one direction is calculated using Longshore Current at the Mid-Surf Zone = 1.17*sqrt([g]*Root-mean-square Wave Height)*sin(Wave Crest Angle)*cos(Wave Crest Angle). To calculate Longshore Current at Mid-Surf Zone, you need Root-mean-square Wave Height (Hrms) & Wave Crest Angle (α). With our tool, you need to enter the respective value for Root-mean-square Wave Height & Wave Crest Angle 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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