Understanding Bernoulli's Equation

thanks to curiositystream for sponsoring this video watch thousands of documentaries and get access to nebula for free when you sign up using the link in the description bernoulli's equation is a simple but incredibly important equation in physics and engineering that can help us understand a lot about the flow of fluids in the world around us

it essentially describes the relationship between the pressure velocity and elevation of a flowing fluid it has countless applications we can use it to explain how planes generate lift or to calculate how fast liquid will drain from a container for example we'll explore these applications and a few more later on but let's start by reviewing the

equation itself it was first published by the swiss physicist daniel bernoulli in 1738 and it looks like this the equation states that the sum of these three terms remains constant along a streamline each of the terms is a pressure the first term is the static pressure which is just the pressure p of the fluid then we have the dynamic

pressure which is a function of the fluid density rho and velocity v and represents the fluid kinetic energy per unit volume and the last term is the hydrostatic pressure which is the pressure exerted by the fluid due to gravity g is gravitational acceleration and h is the elevation of the fluid which is just its height

above a reference level this is the pressure form of the equation but it can also be presented in the head form and the energy form we can think of bernoulli's equation as a statement of the conservation of energy it says that along a streamline the sum of the pressure energy kinetic energy and potential energy