8/22/2023 0 Comments Bernoulli principle gasesThe equation is very useful, and can be used to explain such things as how airplanes fly, and how baseballs curve. This is what Bernoulli's equation does, relating the pressure, velocity, and height of a fluid at one point to the same parameters at a second point. A pressure difference is like a net force, producing acceleration of the fluid.Īs long as the fluid flow is steady, and the fluid is non-viscous and incompressible, the flow can be looked at from an energy perspective. The second way is to make the pressure at one end of the pipe larger than the pressure at the other end. One way is to tilt the pipe so the flow is downhill, in which case gravitational kinetic energy is transformed to kinetic energy. There are basically two ways to make fluid flow through a pipe. Generally, the density stays constant and then it's simply the flow rate (Av) that is constant. The equation of continuity can be reduced to: The mass flow rate is simply the rate at which mass flows past a given point, so it's the total mass flowing past divided by the time interval. The equation of continuity states that for an incompressible fluid flowing in a tube of varying cross-section, the mass flow rate is the same everywhere in the tube. Irrotational means it travels in straight lines rotational means it swirls.įor most of the rest of the chapter, we'll focus on irrotational, incompressible, steady streamline non-viscous flow. This is the big difference between liquids and gases, because liquids are generally incompressible, meaning that they don't change volume much in response to a pressure change gases are compressible, and will change volume in response to a change in pressure.įluid can be viscous (pours slowly) or non-viscous (pours easily).įluid flow can be rotational or irrotational. The density of the streamlines increases as the velocity increases.įluids can be compressible or incompressible. In steady flow, the motion can be represented with streamlines showing the direction the water flows in different areas. For turbulent flow, the speed and or the direction of the flow varies. In steady flow, the fluid passing a given point maintains a steady velocity. This can get very complicated, so we'll focus on one simple case, but we should briefly mention the different categories of fluid flow.įluids can flow steadily, or be turbulent. Fluid dynamics and Bernoulli's equation Fluid dynamics and Bernoulli's equationįluid dynamics is the study of how fluids behave when they're in motion.
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