Advances in Turbulence XII pp 79-82 | Cite as

# Linear and nonlinear instabilities of sliding Couette flow

Conference paper

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## Abstract

We consider an incompressible viscous fluid with the kinematic viscosity v between two infinitely long concentric cylinders with radii
can be obtained as an exact solution of the Navier-Stokes equation, where \(R = U(b - a)/2v\) is the Reynolds number and \(\eta = a/b\) is the radius ratio.

*a*and*b*(*b*>*a*). The fluid experiences a shear motion produced by pulling the inner cylinder with the axial speed*U*while keeping the outer cylinder at rest (see Fig.1). The axial basis flow at the radius*r*,$$U_{B}(r) = R\frac{\ln(r(1 - \eta)/2)}{\ln(\eta)},$$

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## References

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