Refraction Coefficient Solution

STEP 0: Pre-Calculation Summary
Formula Used
Refraction Coefficient = sqrt(Distance between Two Rays at Deepwater/Distance between two rays)
Kr = sqrt(b0/b)
This formula uses 1 Functions, 3 Variables
Functions Used
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.
Distance between Two Rays at Deepwater - (Measured in Meter) - Distance between Two Rays at Deepwater which is occurring or existing in water of great depth.
Distance between two rays - (Measured in Meter) - Distance between two rays at a general point influencing the stretch between the rays and refraction coefficient.
STEP 1: Convert Input(s) to Base Unit
Distance between Two Rays at Deepwater: 100 Meter --> 100 Meter No Conversion Required
Distance between two rays: 10000 Meter --> 10000 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Kr = sqrt(b0/b) --> sqrt(100/10000)
Evaluating ... ...
Kr = 0.1
STEP 3: Convert Result to Output's Unit
0.1 --> No Conversion Required
FINAL ANSWER
0.1 <-- 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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16 Shoaling, Refraction and Breaking Calculators

Shoaling Coefficient
Go Shoaling Coefficient = (tanh(Wave Number for Water Wave*Mean Depth)*(1+(2*Wave Number for Water Wave*Mean Depth/sinh(2*Wave Number for Water Wave*Mean Depth))))^-0.5
Shoaling Coefficient given Wave Celerity
Go Shoaling Coefficient = sqrt(Deepwater Wave Celerity/(Celerity of the Wave*2*Ratio of Group Velocity to Phase Velocity))
Beach Slope given Breaking wave and wave height at breaking point
Go Beach Slope = Breaking Wave*sqrt(Wave Height for Surface Gravity Waves/Deep-Water Wavelength)
Breaking Wave given wave height at Breaking Point
Go Breaking Wave = Beach Slope/sqrt(Wave Height for Surface Gravity Waves/Deep-Water Wavelength)
Deepwater Wave Height for Shoaling Coefficient and Refraction Coefficient
Go Wave Height in Deepwater = Wave Height for Surface Gravity Waves/(Shoaling Coefficient*Refraction Coefficient)
Refraction Coefficient given Relative Change of Wave Height
Go Refraction Coefficient = Wave Height for Surface Gravity Waves/(Wave Height in Deepwater*Shoaling Coefficient)
Wave Height given Shoaling Coefficient and Refraction Coefficient
Go Wave Height for Surface Gravity Waves = Wave Height in Deepwater*Shoaling Coefficient*Refraction Coefficient
Refraction Coefficient
Go Refraction Coefficient = sqrt(Distance between Two Rays at Deepwater/Distance between two rays)
Wave Height at Breaking Point given Breaking Wave and Wave Height at breaking point
Go Wave Height for Surface Gravity Waves = (Deep-Water Wavelength*Beach Slope^2)/Breaking Wave^2
Deepwater Wavelength given Wave Breaking and wave height at breaking point
Go Deep-Water Wavelength = (Breaking Wave^2*Wave Height for Surface Gravity Waves)/Beach Slope^2
Distance between Two Rays at General Point
Go Distance between two rays = Distance between Two Rays at Deepwater/Refraction Coefficient^2
Shoaling Coefficient in Shallow Water
Go Shoaling Coefficient = 0.4466*(Deep-Water Wavelength/Water Depth in Ocean)^(1/4)
Water Depth when Reduced Shoaling Coefficient in shallow Water
Go Water Depth in Ocean = Deep-Water Wavelength/(Shoaling Coefficient/0.2821)^2
Deepwater Wavelength for Shoaling Coefficient in Shallow Water
Go Deep-Water Wavelength = (Shoaling Coefficient/0.4466)^4*Water Depth in Ocean
Wave Length for reduced shoaling coefficient in shallow water
Go Deep-Water Wavelength = Water Depth in Ocean*(Shoaling Coefficient/0.2821)^2
Water Depth given Shoaling Coefficient in Shallow Water
Go Water Depth in Ocean = Deep-Water Wavelength/(Shoaling Coefficient/0.4466)^4

Refraction Coefficient Formula

Refraction Coefficient = sqrt(Distance between Two Rays at Deepwater/Distance between two rays)
Kr = sqrt(b0/b)

What does Shoaling mean?

Shoaling is the deformation of incident waves on the lower shoreface that starts when the water depth becomes less than about half of the wavelength, causing the waves to become steeper: increase in amplitude and decrease in wavelength

How to Calculate Refraction Coefficient?

Refraction Coefficient calculator uses Refraction Coefficient = sqrt(Distance between Two Rays at Deepwater/Distance between two rays) to calculate the Refraction Coefficient, The Refraction Coefficient is the change in direction of a wave passing from one medium to another caused by its change in speed. For example, waves in deep water travel faster than in shallow. Refraction Coefficient is denoted by Kr symbol.

How to calculate Refraction Coefficient using this online calculator? To use this online calculator for Refraction Coefficient, enter Distance between Two Rays at Deepwater (b0) & Distance between two rays (b) and hit the calculate button. Here is how the Refraction Coefficient calculation can be explained with given input values -> 0.1 = sqrt(100/10000).

FAQ

What is Refraction Coefficient?
The Refraction Coefficient is the change in direction of a wave passing from one medium to another caused by its change in speed. For example, waves in deep water travel faster than in shallow and is represented as Kr = sqrt(b0/b) or Refraction Coefficient = sqrt(Distance between Two Rays at Deepwater/Distance between two rays). Distance between Two Rays at Deepwater which is occurring or existing in water of great depth & Distance between two rays at a general point influencing the stretch between the rays and refraction coefficient.
How to calculate Refraction Coefficient?
The Refraction Coefficient is the change in direction of a wave passing from one medium to another caused by its change in speed. For example, waves in deep water travel faster than in shallow is calculated using Refraction Coefficient = sqrt(Distance between Two Rays at Deepwater/Distance between two rays). To calculate Refraction Coefficient, you need Distance between Two Rays at Deepwater (b0) & Distance between two rays (b). With our tool, you need to enter the respective value for Distance between Two Rays at Deepwater & Distance between two rays and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.
How many ways are there to calculate Refraction Coefficient?
In this formula, Refraction Coefficient uses Distance between Two Rays at Deepwater & Distance between two rays. We can use 1 other way(s) to calculate the same, which is/are as follows -
  • Refraction Coefficient = Wave Height for Surface Gravity Waves/(Wave Height in Deepwater*Shoaling Coefficient)
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