Exact Solutions to the Navier-Stokes Equations There are a number of exact solutions to the Navier-Stokes equations. How many exact solutions are currently known? Is it possible to enumerate all of the solutions to the Navier-Stokes equations?
 A: Frank White's Viscous Fluid Flow book contains a good list of these "exact" solutions. I am not sure if it is complete though. I've provided links to a few of the solutions.


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*Steady flow between a fixed and moving plate

*Axially moving concentric cylinders

*Flow between rotating concentric cylinders

*Hagan-Poiseuille flow

*Combined Couette-Poiseuille flow between plates

*Noncircular ducts -- fully developed flow

*Starting flow in a circular pipe

*Pipe flow due to an oscillating pressure gradient

*Suddenly accelerating plate

*Oscillating plate/oscillating freestream

*Steady Couette flow where the moving wall suddenly stops

*Unsteady Couette flow between a fixed and an oscillating plate

*Radial outflow from a porous cylinder

*Radial outflow between two circular plates

*Combined Poiseuille and Couette flow in a tube or annulus

*Gravity-driven thin fluid films

*Decay of a line Oseen-Lamb vortex

*The Taylor vortex profile

*Uniform suction on a plane

*Flow between plates with bottom injection and top suction

*Start up of wind driven surface water

*The Ekman Spiral

*Plane stagnation flow

*Axisymmetric stagnation flow

*Flow near an infinite rotating disk

*Jeffrey-Hamel flow in a wedge-shaped region

*Stokes' Solution for an Immersed Sphere -- Creeping Flow

*Creeping flow past a fluid sphere

*Blasius boundary layer

*Falkner-Skan-Cooke boundary layer

*Compressible self-similar boundary layer

*Free-shear flows

*Plane laminar wake -- far field

*Plane laminar jet

*Flat-plate with uniform wall-suction

