1.6. Main Objective of the Module

Welcome students. So, this is the week 10, lecture number 1, here we are going to study about the topic that is mentioned in this slide, this is about viscous fluid flow. Actually, you have, we have gone through this topic before but in a much more crude manner.

In this introductory part of the lecture, the professor welcomes students to a new topic in hydraulic engineering, namely viscous fluid flow. The professor indicates that despite having covered this topic before, this session aims to deepen the understanding by providing a more thorough and refined exploration. 'Viscous fluid flow' refers to the behavior of fluids (liquids and gases) that resist motion due to internal friction—this is the essence of viscosity.

Think of a jar of honey. When you try to pour honey, it flows very slowly compared to water, which is less viscous. This difference illustrates how viscosity affects fluid motion. Just like in this lecture, learning more about how these fluids behave will help engineers design better systems to handle them.

The main objective of this module is going to be able to derive Navier Stokes equation from scratch, so how to start from the beginning and derive the Navier Stokes equation.

The main goal of this module is to derive the Navier-Stokes equation, which is fundamental in fluid mechanics. This equation describes how fluids move and is critical for solving various problems in engineering and physics. The professor emphasizes starting from the basics, ensuring students understand each step leading to the final equation.

Imagine building a bridge. Before you start, you need to understand the foundation. Similarly, before tackling complex fluid dynamics, the professor believes it is essential to understand the foundational aspects of fluid motion, which the Navier-Stokes equations help to explain.

And we are expecting to dedicate around depends but at least 3 to 4 lectures in this module and our difference from the regular classes to this one is going to be that I will be teaching it by hand, we will take the help of slides as little as possible.

The professor outlines the lecture structure, indicating that there will be 3 to 4 lectures dedicated to deriving the Navier-Stokes equation. Unlike typical classes that might heavily rely on slides, this module will focus more on traditional teaching methods, using a whiteboard to illustrate concepts directly. This approach is intended to enhance understanding by engaging students more actively in the learning process.

Consider learning to ride a bike. You could read about it or watch videos, but nothing beats getting on the bike and learning through practice. The professor's decision to teach by hand is similar—it's about creating an interactive learning environment where students can follow along and ask questions in real-time.

because Navier Stokes equation is something that needs to be done by hand and in the derivation using the slide, it has been found out it is not helpful that much for this particular thing.

The professor explains that the nature of the Navier-Stokes equation derivation is inherently complex and benefitting from hand-written demonstrations. Using slides for such a dynamic and detailed process has not proven effective in prior experiences. Writing out the derivation step-by-step allows for clarification and lets students see the logical flow of the derivation.

Imagine you're learning to cook a new recipe. Watching a video is useful, but following the recipe alongside an instructor who is cooking in front of you enables you to ask questions and adjust as you go, making the learning process richer and more hands-on.

So, we will go very slow in this and we will complete this module in lecture 3 to 4.

The emphasis on going slowly suggests that the professor values thorough understanding over rushing through the material. Slower pacing will allow students to absorb the content more effectively, ensuring they grasp the fundamental principles behind the derivation of the Navier-Stokes equation.

Think about learning a musical instrument. It’s important to master each note before trying to play an entire song. Similarly, by taking the time to carefully go through the derivation step by step, students will build a strong foundation that will aid them in future studies of fluid mechanics.

--