Exact vortex solutions of the Navier–Stokes equations with axisymmetric strain and suction or injection

• Published in: Journal of fluid mechanics Vol. 626; pp. 291 - 306
• Main Author: CRAIK, ALEX D. D.
• Format: Journal Article
• Language: English
• Published: Cambridge, UK Cambridge University Press 10.05.2009
• Subjects: Exact sciences and technology; Fluid dynamics; Fluid mechanics; Fundamental areas of phenomenology (including applications); General theory; Injection; Navier-Stokes equations; Physics; Rotational flow and vorticity; Vortex dynamics; Aspiration; Polar coordinate; Vortices; Vortex flow; Incompressible fluid; Fluid injection; Axial symmetry; Navier-Stokes equations; Exact solution

New solutions of the Navier–Stokes equations are presented for axisymmetric vortex flows subject to strain and to suction or injection. Those expressible in simple separable or similarity form are emphasized. These exhibit the competing roles of diffusion, advection and vortex stretching.