![]() This slide shows one of many forms of Bernoullis equation. This effect was observed as far back as the mid-1800s, when it was found that trains passing in opposite directions tipped precariously toward one another. Bernoullis Equation In the 1700s, Daniel Bernoulli investigated the forces present in a moving fluid. The reason is the same: The high velocity of the air between the car and the truck creates a region of lower pressure between the vehicles, and they are pushed together by greater pressure on the outside ( (Figure)). Its much easier to comprehend if you think of fluids and gases as a collection of moving ballswhich is essentially true. Similarly, when a car passes a truck on the highway, the two vehicles seem to pull toward each other. This pressure difference results in a net force, pushing the curtain inward. The reason is that the high-velocity stream of water and air creates a region of lower pressure inside the shower, whereas the pressure on the other side remains at the standard atmospheric pressure. In a moving fluid, the Bernoulli equation predicts that such a pressure change can be achieved through a suitable gradient in the flow velocity. For instance, shower curtains have a disagreeable habit of bulging into the shower stall when the shower is on. Bernoullis principle states that for a fluid (gas or liquid) of very low viscosity and a poor conductor of heat, an increase in the speed of the fluid occurs. ![]() There are many common examples of pressure dropping in rapidly moving fluids. Bernoulli’s theorem is the principle of energy conservation for ideal fluids in steady, or streamline, flow and is the basis for many engineering applications. As a result, the pressure drops in a rapidly moving fluid whether or not the fluid is confined to a tube. The net work done increases the fluid’s kinetic energy. There are many common examples of pressure dropping in rapidly moving fluids. Recall the work-energy theorem, W net 1 2 m v 2 1 2 m v 0 2. ![]()
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