Combined Wave Transmission Coefficient Solution

STEP 0: Pre-Calculation Summary
Formula Used
Wave Transmission Coefficient = sqrt(Coefficient of Wave Transmission through Structure^2+Coefficient of Transmission Flow Over Structure^2)
Ct = sqrt(Ctt^2+Ct0^2)
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
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.
Coefficient of Wave Transmission through Structure - Coefficient of Wave Transmission through Structure [Dimensionless] depends on Wave Transmission Coefficient and Coefficient of Transmission Flow Over Structure.
Coefficient of Transmission Flow Over Structure - Coefficient of Transmission Flow Over Structure [Dimensionless] is dependent on Wave Transmission Coefficient and Coefficient of Wave Transmission through Structure.
STEP 1: Convert Input(s) to Base Unit
Coefficient of Wave Transmission through Structure: 6 --> No Conversion Required
Coefficient of Transmission Flow Over Structure: 8 --> No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Ct = sqrt(Ctt^2+Ct0^2) --> sqrt(6^2+8^2)
Evaluating ... ...
Ct = 10
STEP 3: Convert Result to Output's Unit
10 --> No Conversion Required
FINAL ANSWER
10 <-- Wave Transmission Coefficient
(Calculation completed in 00.004 seconds)

Credits

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Coorg Institute of Technology (CIT), Coorg
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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)

Combined Wave Transmission Coefficient Formula

Wave Transmission Coefficient = sqrt(Coefficient of Wave Transmission through Structure^2+Coefficient of Transmission Flow Over Structure^2)
Ct = sqrt(Ctt^2+Ct0^2)

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.

What is Freeboard?

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.

How to Calculate Combined Wave Transmission Coefficient?

Combined Wave Transmission Coefficient calculator uses Wave Transmission Coefficient = sqrt(Coefficient of Wave Transmission through Structure^2+Coefficient of Transmission Flow Over Structure^2) to calculate the Wave Transmission Coefficient, The Combined Wave Transmission Coefficient When a porous rubble-mound structure suffers wave transmission caused by wave overtopping and by wave propagation through the structure. Wave Transmission Coefficient is denoted by Ct symbol.

How to calculate Combined Wave Transmission Coefficient using this online calculator? To use this online calculator for Combined Wave Transmission Coefficient, enter Coefficient of Wave Transmission through Structure (Ctt) & Coefficient of Transmission Flow Over Structure (Ct0) and hit the calculate button. Here is how the Combined Wave Transmission Coefficient calculation can be explained with given input values -> 10 = sqrt(6^2+8^2).

FAQ

What is Combined Wave Transmission Coefficient?
The Combined Wave Transmission Coefficient When a porous rubble-mound structure suffers wave transmission caused by wave overtopping and by wave propagation through the structure and is represented as Ct = sqrt(Ctt^2+Ct0^2) or Wave Transmission Coefficient = sqrt(Coefficient of Wave Transmission through Structure^2+Coefficient of Transmission Flow Over Structure^2). Coefficient of Wave Transmission through Structure [Dimensionless] depends on Wave Transmission Coefficient and Coefficient of Transmission Flow Over Structure & Coefficient of Transmission Flow Over Structure [Dimensionless] is dependent on Wave Transmission Coefficient and Coefficient of Wave Transmission through Structure.
How to calculate Combined Wave Transmission Coefficient?
The Combined Wave Transmission Coefficient When a porous rubble-mound structure suffers wave transmission caused by wave overtopping and by wave propagation through the structure is calculated using Wave Transmission Coefficient = sqrt(Coefficient of Wave Transmission through Structure^2+Coefficient of Transmission Flow Over Structure^2). To calculate Combined Wave Transmission Coefficient, you need Coefficient of Wave Transmission through Structure (Ctt) & Coefficient of Transmission Flow Over Structure (Ct0). With our tool, you need to enter the respective value for Coefficient of Wave Transmission through Structure & Coefficient of Transmission Flow Over Structure 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 Wave Transmission Coefficient?
In this formula, Wave Transmission Coefficient uses Coefficient of Wave Transmission through Structure & Coefficient of Transmission Flow Over Structure. We can use 1 other way(s) to calculate the same, which is/are as follows -
  • Wave Transmission Coefficient = Dimensionless Coefficient in the Seelig equation*(1-(Freeboard/Wave Runup))
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