Root Mean Square Wave Height at Breaking given Longshore Current at Mid-Surf Zone Calculator

✖Longshore Current at the Mid-Surf Zone is the current generated when a train of waves reaches the coastline and releases bursts of energy.ⓘ Longshore Current at the Mid-Surf Zone [V_mid]			+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%

✖Root Mean Square Wave Height is a parameter influencing the Breaker Height Index that is commonly used to define the wave height at breaking in the saturated zones.ⓘ Root Mean Square Wave Height at Breaking given Longshore Current at Mid-Surf Zone [H_rms]

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Formula

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Root Mean Square Wave Height at Breaking given Longshore Current at Mid-Surf Zone

Formula

`"H"_{"rms"} = (("V"_{"mid"}/(1.17*sin("α")*cos("α")))^0.5)/"[g]"`

Example

`"0.149572m"=(("1.09m/s"/(1.17*sin("60°")*cos("60°")))^0.5)/"[g]"`

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Root Mean Square Wave Height at Breaking given Longshore Current at Mid-Surf Zone Solution

STEP 0: Pre-Calculation Summary

Formula Used

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]
H_rms = ((V_mid/(1.17*sin(α)*cos(α)))^0.5)/[g]
This formula uses 1 Constants, 2 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)

Variables Used

Root Mean Square Wave Height - (Measured in Meter) - Root Mean Square Wave Height is a parameter influencing the Breaker Height Index that is commonly used to define the wave height at breaking in the saturated zones.
Longshore Current at the Mid-Surf Zone - (Measured in Meter per Second) - Longshore Current at the Mid-Surf Zone is the current generated when a train of waves reaches the coastline and releases bursts of energy.
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.

STEP 1: Convert Input(s) to Base Unit

Longshore Current at the Mid-Surf Zone: 1.09 Meter per Second --> 1.09 Meter per Second No Conversion Required
Wave Crest Angle: 60 Degree --> 1.0471975511964 Radian (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

H_rms = ((V_mid/(1.17*sin(α)*cos(α)))^0.5)/[g] --> ((1.09/(1.17*sin(1.0471975511964)*cos(1.0471975511964)))^0.5)/[g]

Evaluating ... ...

H_rms = 0.149571663742143

STEP 3: Convert Result to Output's Unit

0.149571663742143 Meter --> No Conversion Required

FINAL ANSWER

0.149571663742143 ≈ 0.149572 Meter <-- Root Mean Square Wave Height

(Calculation completed in 00.020 seconds)

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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)))

Root Mean Square Wave Height at Breaking given Longshore Current at Mid-Surf Zone Formula

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]
H_rms = ((V_mid/(1.17*sin(α)*cos(α)))^0.5)/[g]

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 Root Mean Square Wave Height at Breaking given Longshore Current at Mid-Surf Zone?

Root Mean Square Wave Height at Breaking given Longshore Current at Mid-Surf Zone calculator uses 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] to calculate the Root Mean Square Wave Height, The Root Mean Square Wave Height at Breaking given Longshore Current at Mid-Surf Zone formula is defined as a measure to estimate the average wave height at the point of breaking, given the speed of the longshore current in the mid-surf zone. Root Mean Square Wave Height is denoted by H_rms symbol.

How to calculate Root Mean Square Wave Height at Breaking given Longshore Current at Mid-Surf Zone using this online calculator? To use this online calculator for Root Mean Square Wave Height at Breaking given Longshore Current at Mid-Surf Zone, enter Longshore Current at the Mid-Surf Zone (V_mid) & Wave Crest Angle (α) and hit the calculate button. Here is how the Root Mean Square Wave Height at Breaking given Longshore Current at Mid-Surf Zone calculation can be explained with given input values -> 0.479666 = ((1.09/(1.17*sin(1.0471975511964)*cos(1.0471975511964)))^0.5)/[g].

FAQ

What is Root Mean Square Wave Height at Breaking given Longshore Current at Mid-Surf Zone?

The Root Mean Square Wave Height at Breaking given Longshore Current at Mid-Surf Zone formula is defined as a measure to estimate the average wave height at the point of breaking, given the speed of the longshore current in the mid-surf zone and is represented as H_rms = ((V_mid/(1.17*sin(α)*cos(α)))^0.5)/[g] or 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]. Longshore Current at the Mid-Surf Zone is the current generated when a train of waves reaches the coastline and releases bursts of energy & 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.

How to calculate Root Mean Square Wave Height at Breaking given Longshore Current at Mid-Surf Zone?

The Root Mean Square Wave Height at Breaking given Longshore Current at Mid-Surf Zone formula is defined as a measure to estimate the average wave height at the point of breaking, given the speed of the longshore current in the mid-surf zone is calculated using 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]. To calculate Root Mean Square Wave Height at Breaking given Longshore Current at Mid-Surf Zone, you need Longshore Current at the Mid-Surf Zone (V_mid) & Wave Crest Angle (α). With our tool, you need to enter the respective value for Longshore Current at the Mid-Surf Zone & 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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