Viscous potential flow

摘要: Potential flows u = ⊇Φ are solutions of the Navier-Stokes equations for viscous incompressible fluids which vorticity is identically zero. The term μ⊇ 2 μ⊇⊇ Φ vanishes, but contribution to stress in an fluid does not vanish general. Here, we show how viscosity a potential flow away from boundary layers enters Prandtl's layer equations. compressible derived sound waves perturb linearized on state rest. These support with novel features that Bernoulli equation and as well depend viscosity. effect produce decay time spatially periodic or growth space time-periodic waves. In all cases satisfy equations, includes acoustic approximation here, it neither necessary nor useful put zero