| Webster's Online Dictionary |
| Expressions | Domain | Definition | |
| Bernoulli law | Transportation | As originally formulated, a statement of the conservation of energy (per unit mass) for a nonviscous fluid in steady motion. Source: European Union. (references) | |
| Bernoulli law or Bernoulli theorem | Aerospace | (After Daniel Bernoulli, 1700-1782, Swiss scientist). 1. In aeronautics, a law or theorem stating that in a flow of incompressible fluid the sum of the static pressure and the dynamic pressure along a streamline is constant if gravity and frictional effects are disregarded. From this law it follows that where there is a velocity increase in a fluid flow there must be a corresponding pressure decrease. Thus an airfoil, by increasing the velocity of the flow over its upper surface, derives lift from the decreased pressure. 2. As originally formulated, a statement of the conservation of energy (per unit mass) for a nonviscous fluid in steady motion. The specific energy is composed of the kinetic energy u2/2, where u is the speed of the fluid; the potential energy gz, where g is the acceleration of gravity and z is the height above an arbitrary reference level; and the work done by the pressure forces of a compressible fluid v dp, where p is the pressure, v is the specific volume, and the integration is always with respect to values of p and v on the same parcel. Thus, the relationship = Constant along a streamline is valid for a compressible fluid in steady motion, since the streamline is also the path. If the motion is also irrotational, the same constant holds for the entire fluid. (references) | |
Source: compiled by the editor from various references; see credits. | Top | ||