BERNOULLI'S THEOREM A statement of the conservation of energy for a steady, nonviscous, incompressible level flow. It is an inverse relationship in which pressures are least where velocities are greatest. An example is the Santa Ana winds.
For an incompressible fluid, the term in ∇ · u (divergence) vanishes and the effects of viscosity then play a role analogous to that of temperature in thermal conduction and to that of density in simple diffusion.
An incompressible fluid will possess sources or sinks of mass only at points where the divergence of its velocity vector is nonzero; a source is associated with positive divergence and a sink with negative divergence (convergence).
A statement of the conservation of energy for a steady, nonviscous, incompressible level flow. It is an inverse relationship in which pressures are least where velocities are greatest.
See also: Temperature, Density, Wind, Force, Energy
 
|