20.2.2. Today's Topics

Now let us come to today's lecture, will have a steady flow across missions for the linear momentum equations. Many of the times, we have a linear momentum equations we solve for the one inlet or one outlet and in one directions and some of the problems we have solved with no external forces, then how the momentum equations can be simplified.

In today's lecture, we will explore steady flow situations where we apply linear momentum equations. The focus will be on scenarios with either one inlet and one outlet or multiple inlets and outlets. We will analyze how to enforce simplifying assumptions when external forces are neglected, which helps in solving the momentum equations more easily.

Think of a water pipeline that delivers water to your house. If the water moves steadily in one direction and there are no leaks or external forces acting on it, we can simplify how we analyze the flow. This situation allows us to apply the linear momentum equations effectively.

Then fourth what we will talk about, when you apply the linear momentum equations, what are the hints and tips, what should we consider when you apply that linear momentum equations.

We will discuss specific tips that need to be considered when utilizing momentum equations in fluid flow problems. This includes aspects such as understanding pressure and velocity distributions and the importance of defining control volumes correctly.

Imagine if you are trying to measure the speed of a car, but instead of observing it on a level road, you are looking at it on a bumpy track. Understanding how terrain affects speed helps clarify your findings—this is similar to understanding how various forces and pressures influence fluid flow in momentum calculations.

Then we will commit to solve for example problems of previous GATE questions, we will solve it, then we will have a summary of today lectures.

In this part of the lecture, we will work through example problems based on previous GATE questions, which will help us apply the concepts we discussed regarding linear momentum equations. After working through these problems, we will summarize the main points of today's lecture to reinforce our understanding.

Just like athletes practice with past competitive questions to prepare for an upcoming event, solving representative example problems helps solidify our understanding and readiness for future assessments related to fluid mechanics.

Now let us come back to very interesting 3D figures what you can see it. It is, there are bridge piers, there are the bridge piers are here and the flow is coming it, which is unsteady flow. And if you look at this color fringes, its showing how the pressure diagrams are changing.

This segment focuses on visualizing the flow around bridge piers using 3D computational fluid dynamics (CFD) models. The flow is complex, involving unsteady states and varying pressure distributions around each pier, which can be observed through visualizations that display the dynamic nature of the flow.

Imagine standing near a bridge during a storm. The chaotic movement of water and waves around the bridge piers mirrors the unsteady flow depicted in our 3D visualizations. Just as the water's behavior can vary with conditions, the pressure around each pier changes dynamically.

Somebody can feel it, how the flow is going on. If you can look at that, there is a breaking of the waves is also happening it. This flow is unsteady, is perish with the time, incompressible flow, 3 dimensional and the turbulent flow.

Here we delve into how CFD allows us to analyze complex fluid flows in real-time. By understanding the unsteady, incompressible, three-dimensional, and turbulent aspects of flow, we can effectively predict the interaction of fluids with structures, aiding in engineering applications.

Think of watching a video of waves crashing against a shore. Tools like CFD are like high-speed cameras, capturing every detail of the dynamics of these waves, helping engineers design structures that can withstand such forces.

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