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Numerical solution of the Navier‐Stokes equation for flow past spheres: Part I. Viscous flow around spheres with and without radial mass efflux
Author(s) -
Hamielec A. E.,
Hoffman T. W.,
Ross L. L.
Publication year - 1967
Publication title -
aiche journal
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.958
H-Index - 167
eISSN - 1547-5905
pISSN - 0001-1541
DOI - 10.1002/aic.690130206
Subject(s) - drag , spheres , reynolds number , drag coefficient , mechanics , mathematics , flow (mathematics) , stokes flow , mass flux , galerkin method , range (aeronautics) , physics , geometry , mathematical analysis , classical mechanics , thermodynamics , finite element method , materials science , turbulence , astronomy , composite material
This study was undertaken to ascertain the accuracy of finite‐difference solutions for flow around spherical particles in the intermediate Reynolds number range. Comparison of the results with experimental data on drag coefficients, frontal stagnation pressure, and wake geometry indicated good agreement. The approximate solutions, in which the Galerkin method and asymptotic analytical predictions were utilized, were evaluated by using the finite‐difference solutions as a standard. These methods were used to calculate the effect of uniform and nonuniform mass efflux on the drag and flow characteristics around a sphere. Theoretical solutions indicated that nonuniform mass efflux can significantly reduce the drag on a submerged object. Ranges of applicability of the approximate methods were established.