Wave Runup above Mean Water Level for given Wave Transmission Coefficient Solution

STEP 0: Pre-Calculation Summary
Formula Used
Wave Runup = Freeboard/(1-(Wave Transmission Coefficient/Dimensionless Coefficient in the Seelig equation))
R = F/(1-(Ct/C))
This formula uses 4 Variables
Variables Used
Wave Runup - (Measured in Meter) - Wave Runup is the maximum onshore elevation reached by waves, relative to the shoreline position in the absence of waves.
Freeboard - (Measured in Meter) - Freeboard is the height of the watertight portion of a building or other construction above a given level of water in a river, lake, etc.
Wave Transmission Coefficient - Wave Transmission Coefficient [dimensionless] is dependent on Dimensionless Coefficient in the Seelig equation, Freeboard and Wave Runup above the Mean Water Level.
Dimensionless Coefficient in the Seelig equation - Dimensionless Coefficient in the Seelig equation for the wave transmission coefficient.
STEP 1: Convert Input(s) to Base Unit
Freeboard: 5 Meter --> 5 Meter No Conversion Required
Wave Transmission Coefficient: 9 --> No Conversion Required
Dimensionless Coefficient in the Seelig equation: 4 --> No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
R = F/(1-(Ct/C)) --> 5/(1-(9/4))
Evaluating ... ...
R = -4
STEP 3: Convert Result to Output's Unit
-4 Meter --> No Conversion Required
FINAL ANSWER
-4 Meter <-- Wave Runup
(Calculation completed in 00.020 seconds)

Credits

Created by Mithila Muthamma PA
Coorg Institute of Technology (CIT), Coorg
Mithila Muthamma PA has created this Calculator and 2000+ more calculators!
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NSS College of Engineering (NSSCE), Palakkad
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16 Wave Transmission Coefficient and Water Surface Amplitude Calculators

Reflected Wave Period given Water Surface Amplitude
Go Reflected Wave Period = (2*pi*Time Elapsed)/acos(Water Surface Amplitude/Incident Wave Height*cos(2*pi*Horizontal Ordinate/Incident Wave Length in Deepwater))
Incident Wave Length given Water Surface Amplitude
Go Incident Wave Length in Deepwater = (2*pi*Horizontal Ordinate)/acos(Water Surface Amplitude/Incident Wave Height*cos(2*pi*Time Elapsed/Reflected Wave Period))
Time Elapsed given Water Surface Amplitude
Go Time Elapsed = Reflected Wave Period*acos(Water Surface Amplitude/Incident Wave Height*cos(2*pi*Horizontal Ordinate/Incident Wave Length in Deepwater))/(2*pi)
Incident Wave Height given Water Surface Amplitude
Go Incident Wave Height = Water Surface Amplitude/(cos(2*pi*Horizontal Ordinate/Incident Wave Length in Deepwater)*cos(2*pi*Time Elapsed/Reflected Wave Period))
Horizontal Ordinate given Water Surface Amplitude
Go Horizontal Ordinate = Incident Wave Length in Deepwater*acos(Water Surface Amplitude/Incident Wave Height*cos(2*pi*Time Elapsed/Reflected Wave Period))/2*pi
Water Surface Amplitude
Go Water Surface Amplitude = Incident Wave Height*cos(2*pi*Horizontal Ordinate/Incident Wave Length in Deepwater)*cos(2*pi*Time Elapsed/Reflected Wave Period)
Surf Similarity Number or Iribarren Number
Go Surf Similarity Number or Iribarren Number = tan(Angle Sloped plane forms with the horizontal)/sqrt(Incident Wave Height/Incident Wave Length in Deepwater)
Incident Wave Height given Surf Similarity Number or Iribarren Number
Go Incident Wave Height = Incident Wave Length in Deepwater*(tan(Angle Sloped plane forms with the horizontal)/Surf Similarity Number or Iribarren Number)^2
Coefficient for Wave Transmission through Structure given Combined Transmission Coefficient
Go Coefficient of Wave Transmission through Structure = sqrt(Wave Transmission Coefficient^2-Coefficient of Transmission Flow Over Structure^2)
Coefficient for Wave Transmission by Flow over Structure
Go Coefficient of Transmission Flow Over Structure = sqrt(Wave Transmission Coefficient^2-Coefficient of Wave Transmission through Structure^2)
Combined Wave Transmission Coefficient
Go Wave Transmission Coefficient = sqrt(Coefficient of Wave Transmission through Structure^2+Coefficient of Transmission Flow Over Structure^2)
Dimensionless coefficient in Seelig equation for Wave Transmission Coefficient
Go Dimensionless Coefficient in the Seelig equation = Wave Transmission Coefficient/(1-(Freeboard/Wave Runup))
Wave Runup above Mean Water Level for given Wave Transmission Coefficient
Go Wave Runup = Freeboard/(1-(Wave Transmission Coefficient/Dimensionless Coefficient in the Seelig equation))
Freeboard for given Wave Transmission Coefficient
Go Freeboard = Wave Runup*(1-(Wave Transmission Coefficient/Dimensionless Coefficient in the Seelig equation))
Wave Transmission Coefficient
Go Wave Transmission Coefficient = Dimensionless Coefficient in the Seelig equation*(1-(Freeboard/Wave Runup))
Dimensionless Coefficient in Seelig equation in Wave Transmission Coefficient
Go Dimensionless Coefficient in the Seelig equation = 0.51-(0.11*Structure Crest Width/Structure Crest Elevation)

Wave Runup above Mean Water Level for given Wave Transmission Coefficient Formula

Wave Runup = Freeboard/(1-(Wave Transmission Coefficient/Dimensionless Coefficient in the Seelig equation))
R = F/(1-(Ct/C))

What is Wave run-up?

Wave run-up is the maximum onshore elevation reached by waves, relative to the shoreline position in the absence of waves.

How to Calculate Wave Runup above Mean Water Level for given Wave Transmission Coefficient?

Wave Runup above Mean Water Level for given Wave Transmission Coefficient calculator uses Wave Runup = Freeboard/(1-(Wave Transmission Coefficient/Dimensionless Coefficient in the Seelig equation)) to calculate the Wave Runup, The Wave Runup above Mean Water Level for given Wave Transmission Coefficient is maximum onshore elevation reached by waves, relative to shoreline position in absence of waves. Wave Runup is denoted by R symbol.

How to calculate Wave Runup above Mean Water Level for given Wave Transmission Coefficient using this online calculator? To use this online calculator for Wave Runup above Mean Water Level for given Wave Transmission Coefficient, enter Freeboard (F), Wave Transmission Coefficient (Ct) & Dimensionless Coefficient in the Seelig equation (C) and hit the calculate button. Here is how the Wave Runup above Mean Water Level for given Wave Transmission Coefficient calculation can be explained with given input values -> -4 = 5/(1-(9/4)).

FAQ

What is Wave Runup above Mean Water Level for given Wave Transmission Coefficient?
The Wave Runup above Mean Water Level for given Wave Transmission Coefficient is maximum onshore elevation reached by waves, relative to shoreline position in absence of waves and is represented as R = F/(1-(Ct/C)) or Wave Runup = Freeboard/(1-(Wave Transmission Coefficient/Dimensionless Coefficient in the Seelig equation)). Freeboard is the height of the watertight portion of a building or other construction above a given level of water in a river, lake, etc, Wave Transmission Coefficient [dimensionless] is dependent on Dimensionless Coefficient in the Seelig equation, Freeboard and Wave Runup above the Mean Water Level & Dimensionless Coefficient in the Seelig equation for the wave transmission coefficient.
How to calculate Wave Runup above Mean Water Level for given Wave Transmission Coefficient?
The Wave Runup above Mean Water Level for given Wave Transmission Coefficient is maximum onshore elevation reached by waves, relative to shoreline position in absence of waves is calculated using Wave Runup = Freeboard/(1-(Wave Transmission Coefficient/Dimensionless Coefficient in the Seelig equation)). To calculate Wave Runup above Mean Water Level for given Wave Transmission Coefficient, you need Freeboard (F), Wave Transmission Coefficient (Ct) & Dimensionless Coefficient in the Seelig equation (C). With our tool, you need to enter the respective value for Freeboard, Wave Transmission Coefficient & Dimensionless Coefficient in the Seelig equation 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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