Refraction Coefficient at Breaker Line given Total Littoral Transport in Breaker Zone Solution

STEP 0: Pre-Calculation Summary
Formula Used
Refraction Coefficient = sqrt(Total Littoral Transport/((0.44*10^6)*Deepwater Wave Height^2*Deepwater Wave Celerity*sin(Angle of wave incidence)*cos(Angle of wave incidence)))
Kr = sqrt(S/((0.44*10^6)*Hd^2*Co*sin(φbr)*cos(φbr)))
This formula uses 3 Functions, 5 Variables
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
Refraction Coefficient - Refraction Coefficient when waves approach a plane base travelling from deep water into shallow water.
Total Littoral Transport - Total Littoral Transport in the entire Breaker Zone is the transport of non-cohesive sediments in the littoral zone along shoreline mainly due to breaking waves.
Deepwater Wave Height - (Measured in Meter) - Deepwater Wave Height or Original Wave Height. Deep-water waves do not interact with the ocean bottom as they travel, their speed is independent of the water depth.
Deepwater Wave Celerity - (Measured in Meter per Second) - Deepwater Wave Celerity is the speed at which an individual wave advances or propagates occurring or existing in water of great depth.
Angle of wave incidence - (Measured in Radian) - The Angle of Wave Incidence at the breaker line. Wave breaking generally occurs where the amplitude reaches the point that the crest of the wave actually overturns.
STEP 1: Convert Input(s) to Base Unit
Total Littoral Transport: 1500000 --> No Conversion Required
Deepwater Wave Height: 0.95 Meter --> 0.95 Meter No Conversion Required
Deepwater Wave Celerity: 4.5 Meter per Second --> 4.5 Meter per Second No Conversion Required
Angle of wave incidence: 0.2 Degree --> 0.003490658503988 Radian (Check conversion here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Kr = sqrt(S/((0.44*10^6)*Hd^2*Co*sin(φbr)*cos(φbr))) --> sqrt(1500000/((0.44*10^6)*0.95^2*4.5*sin(0.003490658503988)*cos(0.003490658503988)))
Evaluating ... ...
Kr = 15.5073472291283
STEP 3: Convert Result to Output's Unit
15.5073472291283 --> No Conversion Required
FINAL ANSWER
15.5073472291283 15.50735 <-- Refraction Coefficient
(Calculation completed in 00.004 seconds)

Credits

Created by Mithila Muthamma PA
Coorg Institute of Technology (CIT), Coorg
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National Institute of Technology (NIT), Warangal
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8 Sediment Transport along Coasts Calculators

Refraction Coefficient at Breaker Line given Total Littoral Transport in Breaker Zone
Go Refraction Coefficient = sqrt(Total Littoral Transport/((0.44*10^6)*Deepwater Wave Height^2*Deepwater Wave Celerity*sin(Angle of wave incidence)*cos(Angle of wave incidence)))
Wave Height in Deepwater for Total Littoral Transport in Breaker Zone
Go Deepwater Wave Height = sqrt(Total Littoral Transport/((0.44*10^6)*Deepwater Wave Celerity*Refraction Coefficient^2*sin(Angle of wave incidence)*cos(Angle of wave incidence)))
Wave Height in Deepwater given Total Littoral Transport in Entire Breaker Zone
Go Deepwater Wave Height = sqrt(Total Littoral Transport/(0.014*Deepwater Wave Celerity*Refraction Coefficient^2*sin(Angle of wave incidence)*cos(Angle of wave incidence)))
Wave Speed in Deepwater for total Littoral Transport in Entire Breaker Zone
Go Deepwater Wave Celerity = (Total Littoral Transport/(0.014*Deepwater Wave Height^2*Refraction Coefficient^2*sin(Angle of wave incidence)*cos(Angle of wave incidence)))
Total Littoral Transport in entire Breaker Zone
Go Total Littoral Transport = 0.014*Deepwater Wave Height^2*Deepwater Wave Celerity*Refraction Coefficient^2*sin(Angle of wave incidence)*cos(Angle of wave incidence)
Wave Speed in Deepwater for Total Littoral Transport in Breaker Zone
Go Wave Speed = Total Littoral Transport/((0.44*10^6)*Deepwater Wave Height^2*Refraction Coefficient^2*sin(Angle of wave incidence)*cos(Angle of wave incidence))
Deepwater Wave Height for Total Transport
Go Deepwater Wave Height = sqrt(Total Littoral Transport/(1.65*10^6))
Total Transport given by Galvin
Go Total Littoral Transport = (1.65*10^6)*Original Wave Height^2

Refraction Coefficient at Breaker Line given Total Littoral Transport in Breaker Zone Formula

Refraction Coefficient = sqrt(Total Littoral Transport/((0.44*10^6)*Deepwater Wave Height^2*Deepwater Wave Celerity*sin(Angle of wave incidence)*cos(Angle of wave incidence)))
Kr = sqrt(S/((0.44*10^6)*Hd^2*Co*sin(φbr)*cos(φbr)))

What is Littoral Zone Drift?

Littoral drift is the name given to the longshore transport of material, under the action of waves and currents: the movement occurring along or near the foreshore. It is deliberately treated separately from marine sediment transport.

How to Calculate Refraction Coefficient at Breaker Line given Total Littoral Transport in Breaker Zone?

Refraction Coefficient at Breaker Line given Total Littoral Transport in Breaker Zone calculator uses Refraction Coefficient = sqrt(Total Littoral Transport/((0.44*10^6)*Deepwater Wave Height^2*Deepwater Wave Celerity*sin(Angle of wave incidence)*cos(Angle of wave incidence))) to calculate the Refraction Coefficient, Refraction Coefficient at Breaker Line given Total Littoral Transport in Breaker Zone is defined as waves approach plane beach travelling from deep water into shallow water. Refraction Coefficient is denoted by Kr symbol.

How to calculate Refraction Coefficient at Breaker Line given Total Littoral Transport in Breaker Zone using this online calculator? To use this online calculator for Refraction Coefficient at Breaker Line given Total Littoral Transport in Breaker Zone, enter Total Littoral Transport (S), Deepwater Wave Height (Hd), Deepwater Wave Celerity (Co) & Angle of wave incidence br) and hit the calculate button. Here is how the Refraction Coefficient at Breaker Line given Total Littoral Transport in Breaker Zone calculation can be explained with given input values -> 2.45533 = sqrt(1500000/((0.44*10^6)*0.95^2*4.5*sin(0.003490658503988)*cos(0.003490658503988))).

FAQ

What is Refraction Coefficient at Breaker Line given Total Littoral Transport in Breaker Zone?
Refraction Coefficient at Breaker Line given Total Littoral Transport in Breaker Zone is defined as waves approach plane beach travelling from deep water into shallow water and is represented as Kr = sqrt(S/((0.44*10^6)*Hd^2*Co*sin(φbr)*cos(φbr))) or Refraction Coefficient = sqrt(Total Littoral Transport/((0.44*10^6)*Deepwater Wave Height^2*Deepwater Wave Celerity*sin(Angle of wave incidence)*cos(Angle of wave incidence))). Total Littoral Transport in the entire Breaker Zone is the transport of non-cohesive sediments in the littoral zone along shoreline mainly due to breaking waves, Deepwater Wave Height or Original Wave Height. Deep-water waves do not interact with the ocean bottom as they travel, their speed is independent of the water depth, Deepwater Wave Celerity is the speed at which an individual wave advances or propagates occurring or existing in water of great depth & The Angle of Wave Incidence at the breaker line. Wave breaking generally occurs where the amplitude reaches the point that the crest of the wave actually overturns.
How to calculate Refraction Coefficient at Breaker Line given Total Littoral Transport in Breaker Zone?
Refraction Coefficient at Breaker Line given Total Littoral Transport in Breaker Zone is defined as waves approach plane beach travelling from deep water into shallow water is calculated using Refraction Coefficient = sqrt(Total Littoral Transport/((0.44*10^6)*Deepwater Wave Height^2*Deepwater Wave Celerity*sin(Angle of wave incidence)*cos(Angle of wave incidence))). To calculate Refraction Coefficient at Breaker Line given Total Littoral Transport in Breaker Zone, you need Total Littoral Transport (S), Deepwater Wave Height (Hd), Deepwater Wave Celerity (Co) & Angle of wave incidence br). With our tool, you need to enter the respective value for Total Littoral Transport, Deepwater Wave Height, Deepwater Wave Celerity & Angle of wave incidence 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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