This property means that the partial derivative of v with x minus the partial derivative of u with y is zero.
According to Kelvin's minimum kinetic energy theorem, the dynamics of this type in a simply connected region have less kinetic energy than other dynamics with the same normal motion. If a fluid has this property, then the pressure constant is the same for all streamlines allowing one to use Bernoulli's equation to relate pressure and velocity anywhere in the flowfield. Flows that are incompressible and this have stream functions that must obey Laplace's equation. Stokes' Theorem shows that if a fluid has this property then gamma is equal to zero. This property means that the partial derivative of v with x minus the partial derivative of u with y is zero. Potential flows are inviscid and have this property, as one can assign a velocity potential function. For 10 points, name this property of a fluid such that the vorticity is zero.
According to Kelvin's minimum kinetic energy theorem, the dynamics of this type in a simply connected region have less kinetic energy than other dynamics with the same normal motion.
irrotational [accept potential before mentioned; prompt on Laplacian before mentioned]