22.6. Concept of Virtual Fluid Balls

Now, I will talk that virtual fluid valve concept, why I am not talking the balls, I am talking of virtual fluid balls. Because when I am talking about the ball at this locations, which are moving along the streamlines that p and the p2. Here the balls are moving it, it has potential energy, it has the kinetic energy, there is no doubt about that.

The concept of a 'virtual fluid ball' is introduced to help visualize fluid motion along streamlines. Imagine that in the flow of a fluid, we can think of small parcels or 'balls' of fluid moving together. These balls possess energy due to their speed (kinetic energy) and position (potential energy). The virtual aspect indicates that these are idealized representations to simplify calculations and understand fluid dynamics.

Think of a crowd of people moving through a hallway. Each person can be seen as a 'ball' of fluid. As they move, they have energy due to their motion (like kinetic energy) and some may be elevated (like potential energy if they are on stairs). Visualizing the crowd as virtual groups moving in a particular direction helps us understand the flow of people, just like virtual fluid balls help us understand the flow of fluid.

But since it is a virtual fluid balls, that means here when you talk about any cross sections, there are a large number of balls are there. And as they are moving it, there are pressure field is in it over that. As the pressure field is working over that, what is the amount of energy is done because of this presser field.

As these virtual fluid balls move, they experience a pressure field. This means that the force exerted by the fluid surrounding them contributes to their overall energy. The work done on these balls by the pressure can be thought of as the energy transferred into the system from the pressure field, and this flow energy is significant for understanding fluid behavior in various applications.

Imagine a water balloon being pushed by the wind. The wind represents the pressure field that is exerting force on the balloon. As the balloon moves because of this force, it gains energy from the wind pressure, similar to how virtual fluid balls gain energy from the pressure field in fluid dynamics.

So that component is there. That is the reasons we call virtual fluid balls, it is not the balls. It is the balls movement as a theoretically we are looking it, which has the flow energy because of the pressure field variations. Because of the number of the fluid balls are there, they are exerting a pressure on this particular ball.

The concept of flow energy is further elaborated upon, emphasizing that it arises due to the interactions among many virtual fluid balls. As these balls are influenced by the surrounding pressure field, it becomes clear that they are interconnected and their overall behavior reflects the collective energy distribution. This conceptualization aids in modeling and understanding fluid flow in theoretical and practical scenarios.

Consider a roller coaster. Each car on the track can be likened to a virtual fluid ball. As one car descends the hill, it exerts pressure on the cars below. The entire system's motion and energy transfer are interconnected, just as fluid balls transfer energy through their interactions with pressure fields.

As this pressure is working it, what is the work? Force into the distance. That means pressure into the area of force into distance.

In fluid dynamics, work is represented by the relationship between pressure and the distance over which it acts. Essentially, the work done by the pressure field on the virtual fluid balls results in energy transfer, which influences how the fluid flows and behaves in various scenarios. The equation for work, Force times Distance, becomes important to establish this relationship in fluid mechanics.

Imagine a person pushing a shopping cart. The force they apply (such as pushing the cart) over a certain distance (such as moving it across the store) is a simple way to understand work. In terms of fluid, the pressure acts similarly, pushing the fluid in a specific direction, resulting in work done that shapes the flow.

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