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Viscous Flows
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Here some solutions of Navier–Stokes equations are found.The flow of a fluid along a pipe (Poisseuille flow) and that between two rotating cylinders (Couette flow) are the simplest. In the limit of large viscosity (small Reynolds number) the equations become linear: Stokes equations. Flow past a sphere is solved in detail. It is used to calculate the drag on a sphere, a classic formula of Stokes. An exact solution of the Navier–Stokes equation describing a dissipating vortex is also found. It is seen that viscosity cannot be ignored at the boundary or at the core of vortices.
Title: Viscous Flows
Description:
Here some solutions of Navier–Stokes equations are found.
The flow of a fluid along a pipe (Poisseuille flow) and that between two rotating cylinders (Couette flow) are the simplest.
In the limit of large viscosity (small Reynolds number) the equations become linear: Stokes equations.
Flow past a sphere is solved in detail.
It is used to calculate the drag on a sphere, a classic formula of Stokes.
An exact solution of the Navier–Stokes equation describing a dissipating vortex is also found.
It is seen that viscosity cannot be ignored at the boundary or at the core of vortices.
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