Learn how Bernoulli's equation describes the conservation of mechanical energy in ideal fluid flow. Explore consequences of Bernoulli's equation, including Torricelli's theorem.

Learn how Bernoulli's equation describes the conservation of mechanical energy in ideal fluid flow. Explore consequences of Bernoulli's equation, including Torricelli's theorem.

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Learn how to represent the volume flow rate of a fluid. Explore how the incompressibility of liquids leads to the continuity equation.

We can answer this question using a variation of the derivative called divergence. We'll talk more about fluid flow below, but first, let's establish the notation and formula used to express this concept.

This video breaks down Bernoulli's equation, revealing the surprising principle that faster fluid equals lower pressure. It also introduces the Pitot tube, a practical tool for measuring fluid velocity.

Water of density 1000 kg/m 3 flows through a pipe that changes diameter and elevation, as modeled below. Water flows from point A to point B. The water's speed at point A is 0.60 m/s. How much …

Now I want you to imagine that this vector field describes a fluid flow, perhaps in a chaotic part of a river. The following video shows a simulation of what this might look like.

In any context where something can be considered flowing, such as a fluid, two-dimensional flux is a measure of the flow rate through a curve. The flux over the boundary of a region can be used to …

That's what we're gonna figure out in this video. So let's begin. We'll start with the most fundamental question, what makes a fluid flow? Well, we know from Newton's laws, if there's an unbalanced force …