In fluid dynamics, the Hagen–Poiseuille equation, also known as the Hagen–Poiseuille law, Poiseuille law or Poiseuille equation, is a physical law that gives the pressure drop in an incompressible and
Two fluids moving past each other in the x direction. The liquid on top is moving faster and will be pulled in the negative direction by the bottom liquid while the bottom liquid will be pulled in the positive direction by the top liquid.
Poiseuille flow in annular section
Bernoulli's principle is a concept in fluid dynamics that relates pressure, speed and height. For example, for a fluid flowing horizontally, Bernoulli's principle states that an increase in the speed
Hagen–Poiseuille equation
…example, the pressure needed to drive a viscous fluid up against gravity would contain both that as needed in Poiseuille's law plus that as needed in Bernoulli's equation, such that any point in the flow would have a pressure greater than zero (otherwise no flow would happen). Another example is when blood flows into a…
Condensation visible over the upper surface of an Airbus A340 wing caused by the increase in relative humidity accompanying the fall in pressure and temperature
Smoked air-flow of modified Bernoulli-based gripper for grasping textile materials . By redirecting air flows, it is possible to eliminate vibration of materials during their grasping and manipulation by robots.
Blowing over a piece of paper causes it to rise. Blowing under a piece of paper also causes it to rise. Neither is a demonstration of Bernoulli's Principle.
A ping pong ball is held in a diagonal stream of air. While it is often claimed this is due to the stream having lower pressure than the surrounding air, this explanation is erroneous.