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A Hybrid Method for Low Reynolds Number Flow Past an Asymmetric Cylindrical Body
Author(s) -
Titcombe Michèle S.,
Ward Michael J.,
Kropinski Mary Catherine
Publication year - 2000
Publication title -
studies in applied mathematics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.164
H-Index - 46
eISSN - 1467-9590
pISSN - 0022-2526
DOI - 10.1111/1467-9590.00147
Subject(s) - reynolds number , mathematics , mathematical analysis , logarithm , lift (data mining) , asymptotic expansion , drag coefficient , singular perturbation , lift coefficient , drag , physics , mechanics , turbulence , computer science , data mining
Low Reynolds number fluid flow past a cylindrical body of arbitrary shape in an unbounded, two‐dimensional domain is a singular perturbation problem involving an infinite logarithmic expansion in the small parameter ε, representing the Reynolds number. We apply a hybrid asymptotic–numerical method to compute the drag coefficient, C D and lift coefficient C L to within all logarithmic terms. The hybrid method solution involves a matrix M , depending only on the shape of the body, which we compute using a boundary integral method. We illustrate the hybrid method results on an elliptic object and on a more complicated profile.