Relationship Between Pressure And Velocity

The distribution of forces (pressure) must be equal in all directions in a fluid at rest. When fluid movement occurs, however, that distribution of forces changes. As expected, the magnitude of that change depends on the velocity of flow. One way to appreciate this change in force is to consider the energy within the fluid. First, consider the pressures in an ideal system in which there is no frictional resistance to fluid flow. In such a system the total energy (TE) is divided between potential energy (PE) and kinetic energy (KE):

In a fluid at rest all that energy exists as potential energy and is responsible for the hydrostatic pressure, which is equal in all directions. Once the fluid starts to move, however, part of the potential energy is converted to kinetic energy. This conversion of energy actually causes the pressure in the flowing fluid to be reduced.

10. Hemodynamics

100 cm/sec

20 cm/sec

200 mL/sec-

2 cm

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