Deepwater surf similarity parameter given runup Solution

STEP 0: Pre-Calculation Summary
Formula Used
Deepwater Surf Similarity Parameter = (Runup exceeded by 2% percent of the Runup Crests/(Deepwater Wave Height*1.86))^(1/0.71)
ε0 = (R2%/(Hd*1.86))^(1/0.71)
This formula uses 3 Variables
Variables Used
Deepwater Surf Similarity Parameter - Deepwater Surf Similarity Parameter compares the wave surface slope to the bed slope in the surf zone and represents important features of the hydrodynamics of the surf zone.
Runup exceeded by 2% percent of the Runup Crests - (Measured in Meter) - Runup exceeded by 2% percent of the Runup Crests depends on Deepwater Wave Height and Deepwater Surf Similarity Parameter.
Deepwater Wave Height - (Measured in Meter) - Deepwater Wave Height refers to the measurement of the vertical distance between the trough and the crest of a wave in deep water.
STEP 1: Convert Input(s) to Base Unit
Runup exceeded by 2% percent of the Runup Crests: 65 Meter --> 65 Meter No Conversion Required
Deepwater Wave Height: 6 Meter --> 6 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
ε0 = (R2%/(Hd*1.86))^(1/0.71) --> (65/(6*1.86))^(1/0.71)
Evaluating ... ...
ε0 = 11.9623284089291
STEP 3: Convert Result to Output's Unit
11.9623284089291 --> No Conversion Required
FINAL ANSWER
11.9623284089291 11.96233 <-- Deepwater Surf Similarity Parameter
(Calculation completed in 00.020 seconds)

Credits

Created by Mithila Muthamma PA
Coorg Institute of Technology (CIT), Coorg
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21 Irregular Waves Calculators

Deepwater Wave Height given Surf Similarity Parameter
Go Wave Height of Surf Zone Waves = Length of Surf Zone Waves*(Surf Zone Waves Similarity Parameter/tan(Slope of Beach of Surf Zone Waves))^(-1/0.5)
Deepwater Wave Length given Surf Similarity Parameter
Go Length of Surf Zone Waves = Wave Height of Surf Zone Waves/(Surf Zone Waves Similarity Parameter/tan(Slope of Beach of Surf Zone Waves))^(-1/0.5)
Deepwater Surf Similarity Parameter
Go Surf Zone Waves Similarity Parameter = tan(Slope of Beach of Surf Zone Waves)*(Wave Height of Surf Zone Waves/Length of Surf Zone Waves)^-0.5
Wave Period given long wave simplification for wavelength
Go Wave Period in Coasts = Wavelength of Coast/sqrt([g]*Wave Height)
Deepwater surf similarity parameter given runup
Go Deepwater Surf Similarity Parameter = (Runup exceeded by 2% percent of the Runup Crests/(Deepwater Wave Height*1.86))^(1/0.71)
Deepwater surf similarity parameter given average of highest one tenth of runups
Go Deepwater Surf Similarity Parameter = (The Average of the Highest 1/10 of the Runup/(Deepwater Wave Height*1.7))^(1/0.71)
Deepwater wave height given runup exceeded by 2 percent of runup crests
Go Deepwater Wave Height = Runup exceeded by 2% percent of the Runup Crests/(1.86*Deepwater Surf Similarity Parameter^0.71)
Surf similarity parameter given average of highest one third of runups
Go Deepwater Surf Similarity Parameter = (The Average of the Highest 1/3 of the Runups/Deepwater Wave Height*1.38)^(1/0.7)
Runup exceeded by 2 percent of runup crests
Go Runup exceeded by 2% percent of the Runup Crests = Deepwater Wave Height*1.86*Deepwater Surf Similarity Parameter^0.71
Deepwater wave height given average of highest one tenth of runups
Go Deepwater Wave Height = The Average of the Highest 1/10 of the Runup/(1.7*Deepwater Surf Similarity Parameter^0.71)
Deepwater wave height given average of highest one third of runups
Go Deepwater Wave Height = The Average of the Highest 1/3 of the Runups/(1.38*Deepwater Surf Similarity Parameter^0.7)
Average of Highest One Tenth of Runups
Go The Average of the Highest 1/10 of the Runup = Deepwater Wave Height*1.7*Deepwater Surf Similarity Parameter^0.71
Average of Highest One Third of Runups
Go The Average of the Highest 1/3 of the Runups = Deepwater Wave Height*1.38*Deepwater Surf Similarity Parameter^0.7
Empirically determined Functions of Beach Slope Parameter b
Go Empirically determined Functions of Beach Slope B = 1.56/(1+e^(-19.5*tan(Slope of Beach of Surf Zone Waves)))
Empirically determined Functions of Beach Slope Parameter a
Go Empirically determined Functions of Beach Slope A = 43.8*(1-e^(-19*tan(Slope of Beach of Surf Zone Waves)))
Deepwater Surf Similarity Parameter given Maximum Runup
Go Deepwater Surf Similarity Parameter = (Wave Runup/Deepwater Wave Height*2.32)^(1/0.77)
Deepwater Surf Similarity Parameter given Mean Runup
Go Deepwater Surf Similarity Parameter = (Mean Runup/(0.88*Deepwater Wave Height))^1/0.69
Deepwater Wave Height given Maximum Runup
Go Deepwater Wave Height = Wave Runup/(2.32*Deepwater Surf Similarity Parameter^0.77)
Deepwater Wave Height given Mean Runup
Go Deepwater Wave Height = Mean Runup/(0.88*Deepwater Surf Similarity Parameter^0.69)
Maximum Runup
Go Wave Runup = Deepwater Wave Height*2.32*Deepwater Surf Similarity Parameter^0.77
Mean Runup
Go Mean Runup = Deepwater Wave Height*0.88*Deepwater Surf Similarity Parameter^0.69

Deepwater surf similarity parameter given runup Formula

Deepwater Surf Similarity Parameter = (Runup exceeded by 2% percent of the Runup Crests/(Deepwater Wave Height*1.86))^(1/0.71)
ε0 = (R2%/(Hd*1.86))^(1/0.71)

What is Wave Runup?

Wave runup is the maximum vertical extent of wave uprush on a beach or structure above the still water level (SWL). It is the sum of wave set-up and swash uprush (see Swash zone dynamics) and must be added to the water level reached as a result of tides and wind set-up.

How to Calculate Deepwater surf similarity parameter given runup?

Deepwater surf similarity parameter given runup calculator uses Deepwater Surf Similarity Parameter = (Runup exceeded by 2% percent of the Runup Crests/(Deepwater Wave Height*1.86))^(1/0.71) to calculate the Deepwater Surf Similarity Parameter, The Deepwater surf similarity parameter given runup exceeded by 2% percent of runup crests is a dimensionless parameter used to model several effects of (breaking) surface gravity waves on beaches and coastal structures. Deepwater Surf Similarity Parameter is denoted by ε0 symbol.

How to calculate Deepwater surf similarity parameter given runup using this online calculator? To use this online calculator for Deepwater surf similarity parameter given runup, enter Runup exceeded by 2% percent of the Runup Crests (R2%) & Deepwater Wave Height (Hd) and hit the calculate button. Here is how the Deepwater surf similarity parameter given runup calculation can be explained with given input values -> 11.96233 = (65/(6*1.86))^(1/0.71).

FAQ

What is Deepwater surf similarity parameter given runup?
The Deepwater surf similarity parameter given runup exceeded by 2% percent of runup crests is a dimensionless parameter used to model several effects of (breaking) surface gravity waves on beaches and coastal structures and is represented as ε0 = (R2%/(Hd*1.86))^(1/0.71) or Deepwater Surf Similarity Parameter = (Runup exceeded by 2% percent of the Runup Crests/(Deepwater Wave Height*1.86))^(1/0.71). Runup exceeded by 2% percent of the Runup Crests depends on Deepwater Wave Height and Deepwater Surf Similarity Parameter & Deepwater Wave Height refers to the measurement of the vertical distance between the trough and the crest of a wave in deep water.
How to calculate Deepwater surf similarity parameter given runup?
The Deepwater surf similarity parameter given runup exceeded by 2% percent of runup crests is a dimensionless parameter used to model several effects of (breaking) surface gravity waves on beaches and coastal structures is calculated using Deepwater Surf Similarity Parameter = (Runup exceeded by 2% percent of the Runup Crests/(Deepwater Wave Height*1.86))^(1/0.71). To calculate Deepwater surf similarity parameter given runup, you need Runup exceeded by 2% percent of the Runup Crests (R2%) & Deepwater Wave Height (Hd). With our tool, you need to enter the respective value for Runup exceeded by 2% percent of the Runup Crests & Deepwater Wave Height 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 Deepwater Surf Similarity Parameter?
In this formula, Deepwater Surf Similarity Parameter uses Runup exceeded by 2% percent of the Runup Crests & Deepwater Wave Height. We can use 4 other way(s) to calculate the same, which is/are as follows -
  • Deepwater Surf Similarity Parameter = (Wave Runup/Deepwater Wave Height*2.32)^(1/0.77)
  • Deepwater Surf Similarity Parameter = (The Average of the Highest 1/10 of the Runup/(Deepwater Wave Height*1.7))^(1/0.71)
  • Deepwater Surf Similarity Parameter = (The Average of the Highest 1/3 of the Runups/Deepwater Wave Height*1.38)^(1/0.7)
  • Deepwater Surf Similarity Parameter = (Mean Runup/(0.88*Deepwater Wave Height))^1/0.69
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