Coefficient for Wave Transmission through Structure given Combined Transmission Coefficient Solution

STEP 0: Pre-Calculation Summary
Formula Used
Coefficient of Wave Transmission through Structure = sqrt(Wave Transmission Coefficient^2-Coefficient of Transmission Flow Over Structure^2)
Ctt = sqrt(Ct^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
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.
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 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
Wave Transmission Coefficient: 9 --> No Conversion Required
Coefficient of Transmission Flow Over Structure: 8 --> No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Ctt = sqrt(Ct^2-Ct0^2) --> sqrt(9^2-8^2)
Evaluating ... ...
Ctt = 4.12310562561766
STEP 3: Convert Result to Output's Unit
4.12310562561766 --> No Conversion Required
FINAL ANSWER
4.12310562561766 4.123106 <-- Coefficient of Wave Transmission through Structure
(Calculation completed in 00.004 seconds)

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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)

Coefficient for Wave Transmission through Structure given Combined Transmission Coefficient Formula

Coefficient of Wave Transmission through Structure = sqrt(Wave Transmission Coefficient^2-Coefficient of Transmission Flow Over Structure^2)
Ctt = sqrt(Ct^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 Coefficient for Wave Transmission through Structure given Combined Transmission Coefficient?

Coefficient for Wave Transmission through Structure given Combined Transmission Coefficient calculator uses Coefficient of Wave Transmission through Structure = sqrt(Wave Transmission Coefficient^2-Coefficient of Transmission Flow Over Structure^2) to calculate the Coefficient of Wave Transmission through Structure, The Coefficient for Wave Transmission through Structure given Combined Transmission Coefficient is defined as a coefficient parameter influencing the combined transmission coefficient. Coefficient of Wave Transmission through Structure is denoted by Ctt symbol.

How to calculate Coefficient for Wave Transmission through Structure given Combined Transmission Coefficient using this online calculator? To use this online calculator for Coefficient for Wave Transmission through Structure given Combined Transmission Coefficient, enter Wave Transmission Coefficient (Ct) & Coefficient of Transmission Flow Over Structure (Ct0) and hit the calculate button. Here is how the Coefficient for Wave Transmission through Structure given Combined Transmission Coefficient calculation can be explained with given input values -> 4.123106 = sqrt(9^2-8^2).

FAQ

What is Coefficient for Wave Transmission through Structure given Combined Transmission Coefficient?
The Coefficient for Wave Transmission through Structure given Combined Transmission Coefficient is defined as a coefficient parameter influencing the combined transmission coefficient and is represented as Ctt = sqrt(Ct^2-Ct0^2) or Coefficient of Wave Transmission through Structure = sqrt(Wave Transmission Coefficient^2-Coefficient of Transmission Flow Over Structure^2). Wave Transmission Coefficient [dimensionless] is dependent on Dimensionless Coefficient in the Seelig equation, Freeboard and Wave Runup above the Mean Water Level & Coefficient of Transmission Flow Over Structure [Dimensionless] is dependent on Wave Transmission Coefficient and Coefficient of Wave Transmission through Structure.
How to calculate Coefficient for Wave Transmission through Structure given Combined Transmission Coefficient?
The Coefficient for Wave Transmission through Structure given Combined Transmission Coefficient is defined as a coefficient parameter influencing the combined transmission coefficient is calculated using Coefficient of Wave Transmission through Structure = sqrt(Wave Transmission Coefficient^2-Coefficient of Transmission Flow Over Structure^2). To calculate Coefficient for Wave Transmission through Structure given Combined Transmission Coefficient, you need Wave Transmission Coefficient (Ct) & Coefficient of Transmission Flow Over Structure (Ct0). With our tool, you need to enter the respective value for Wave Transmission Coefficient & 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.
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