1995•Fluid Dynamics ResearchRequires access

A note on Stokes' solution for a flow past a sphere

Tsutomu Arai

Abstract

The difference between Stokes' solution for a viscous flow past a sphere and the corresponding generalized solution of the Navier-Stokes equation is estimated. This estimate implies that Stokes' solution cannot be close to the exact solution of the Navier-Stokes equation for small Reynolds' numbers, in conformity with the content of classical “Whitehead's paradox”.

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Key concepts: Stokes flow, Stokes' law, Stokes number, Reynolds number, Mathematics, Flow (mathematics), Slender-body theory, Mathematical analysis