2.1. Final Remarks and Contact Information

So, now we have studied wave energy it is very obvious that we study wave power. Wave energy flux is the rate at which energy is transmitted in the direction of wave propagation across a vertical plane perpendicular to the direction of wave advance and extending down the entire. So, the average energy flux per unit wave crest with transmitted across the plane perpendicular to the wave advances is wave power. And it is given as e into CG. This is important CG is group velocity and e is the energy that we just derived.

Wave energy is the energy carried by waves, and wave power specifically refers to the rate at which this energy is transmitted. When we talk about wave energy flux, we are referring to how much energy passes through a unit area over time at a given depth. In essence, wave power can be calculated by multiplying the energy per wave by its group velocity (CG), which is the speed at which wave energy travels. The relationship can be expressed mathematically as: Wave Power = e * CG, where 'e' is the energy derived from waves.

Think of wave power as a water faucet. If we compare the waves to water flowing from the faucet, the energy of the waves is like the amount of water, and the speed of the water flowing out is similar to the group velocity. Just as you can calculate how much water flows out over time by considering the faucet's flow rate, we can calculate wave power by considering the energy and the speed at which the wave travels.

This equation is very important again this represents phenomena which is called shoaling. And this gives the ratio between wave height at any depth in the shallower waters compared to the deep water wave height.

Shoaling is a term used to describe the process where waves increase in height as they approach shallower water. As waves move from deep to shallow areas, their speed decreases, causing them to become taller and steeper. The ratio of wave height in shallow water (h) to wave height in deep water (h0) can be understood using the shoaling coefficient (Ks). This coefficient allows us to predict how waves will behave in varying depths, which is crucial for coastal engineering and navigating harbor designs.

Imagine a skateboarder going down a ramp. As they go down, they pick up speed, but when they reach the bottom, which has a flat surface (or shallower part), they need to push harder because the surface is less steep. Similarly, waves speed up in deep water but slow down and swell in height as they reach shallower waters.

When waves are in motion, the particles upon completion of each nearly an elliptical or circular motion would have advanced a short distance in the direction of propagation of waves. Therefore, if they move ahead that means that the mass associated with them has already moved forward correct. This mass transport is happening in the direction of the progress of the wave.

Mass transport within waves refers to the slight forward motion of water particles as waves pass. Although waves may appear to move across the surface, the individual water particles follow a circular or elliptical path, resulting in net motion in the direction the waves are traveling. This is significant because it implies that even though water may seem still at times, there is a bulk movement of water due to wave action that helps in various marine processes.

Consider the motion of a crowd cheering at a sports event. People move up and down in their seats (like particles in a wave), but there is a visible wave of excitement that moves through the crowd (like mass transport). Even if individuals remain in their seats, the collective energy and movement create a flow - similarly, water particles in a wave exhibit this characteristic.

So, this was the last topic of hydraulic engineering which we have finished now, and with this I would like to close the lecture and also this course. If you have further doubts, please do contact us and the forum or I will be appearing in some live sessions.

The conclusion marks the wrapping up of the lecture on hydraulic engineering, emphasizing that all key points have been covered. Students are encouraged to reach out for clarification and continue engaging through forums or live sessions. It underscores the importance of communication for learning.

Think of this conclusion as the final bell of a school day. Just as students are encouraged to ask questions to their teachers or classmates if they didn't understand something throughout the day, this lecture prompts students to seek help for any remaining uncertainties as they prepare to move forward.

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