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 is a dimensionless ratio that quantifies the amount of wave energy transmitted through a structure compared to the incident wave energy.
Coefficient of Wave Transmission through Structure - Coefficient of Wave Transmission through Structure is a dimensionless parameter that quantifies the proportion of wave energy transmitted past or through the structure.
Coefficient of Transmission Flow over Structure - Coefficient of Transmission Flow over Structure is a dimensionless factor representing the efficiency with which fluid passes over or through the structure, often used to characterize flow behavior.
STEP 1: Convert Input(s) to Base Unit
Coefficient of Wave Transmission through Structure: 0.2334 --> No Conversion Required
Coefficient of Transmission Flow over Structure: 0.15 --> No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Ct = sqrt(Ctt^2+Ct0^2) --> sqrt(0.2334^2+0.15^2)
Evaluating ... ...
Ct = 0.277444697192071
STEP 3: Convert Result to Output's Unit
0.277444697192071 --> No Conversion Required
FINAL ANSWER
0.277444697192071 0.277445 <-- Wave Transmission Coefficient
(Calculation completed in 00.020 seconds)

Credits

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Created by Mithila Muthamma PA
Coorg Institute of Technology (CIT), Coorg
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Verified by Chandana P Dev
NSS College of Engineering (NSSCE), Palakkad
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14 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))))
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))
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
​ 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 is defined as a dimensionless parameter representing the overall proportion of wave energy transmitted through a structure, accounting for multiple influencing factors such as wave height, structure geometry, and material properties. 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 -> 0.277445 = sqrt(0.2334^2+0.15^2).

FAQ

What is Combined Wave Transmission Coefficient?
The Combined Wave Transmission Coefficient is defined as a dimensionless parameter representing the overall proportion of wave energy transmitted through a structure, accounting for multiple influencing factors such as wave height, structure geometry, and material properties 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 is a dimensionless parameter that quantifies the proportion of wave energy transmitted past or through the structure & Coefficient of Transmission Flow over Structure is a dimensionless factor representing the efficiency with which fluid passes over or through the structure, often used to characterize flow behavior.
How to calculate Combined Wave Transmission Coefficient?
The Combined Wave Transmission Coefficient is defined as a dimensionless parameter representing the overall proportion of wave energy transmitted through a structure, accounting for multiple influencing factors such as wave height, structure geometry, and material properties 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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