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Characterizations of the critical Stokes number for potential and viscous flows
Author(s) -
Lesnic D.,
Elliott L.,
Ingham D. B.
Publication year - 1994
Publication title -
mathematika
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.955
H-Index - 29
eISSN - 2041-7942
pISSN - 0025-5793
DOI - 10.1112/s0025579300007385
Subject(s) - mathematics , stokes number , nonlinear system , mathematical analysis , stokes' law , stokes flow , line (geometry) , stagnation point , flow (mathematics) , geometry , mechanics , physics , quantum mechanics , reynolds number , turbulence , heat transfer
The impaction on symmetrical obstacles placed in uniform streams of aerosols is investigated. The governing equations of motion are nonlinear differential equations involving a parameter called the Stokes number. The study differentiates between the critical value of the Stokes number on the centre‐line, k cr , below which no particles reach the stagnation point in finite time, and the critical value of the Stokes number on the obstacle, K cr , below which no particles may be deposited on the obstacle in finite time. Based on the properties of the centre‐line fluid velocity of the potential and viscous flows past a variety of symmetrically shaped obstacles, upper and lower bounds of K cr and K cr are established. Furthermore, using a numerical procedure for solving nonlinear differential equations with unknown parameters the critical values of K cr and K cr are obtained.