Premium
Numerical solution of the Navier‐Stokes equation for flow past spheres: Part II. Viscous flow around circulating spheres of low viscosity
Author(s) -
Hamielec A. E.,
Johnson A. I.,
Houghton W. T.
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.690130207
Subject(s) - reynolds number , viscosity , stokes flow , mechanics , flow (mathematics) , stream function , vorticity , drag , drag coefficient , spheres , boundary layer , non dimensionalization and scaling of the navier–stokes equations , hele shaw flow , navier–stokes equations , mathematics , stokes' law , flow separation , physics , classical mechanics , reynolds averaged navier–stokes equations , thermodynamics , computational fluid dynamics , turbulence , vortex , compressibility , astronomy
Steady state solutions of the Navier‐Stokes equations for Reynolds numbers of 0.1, 1, 50, 100, and 200 have been obtained by using finite‐difference methods. The effects of radial and angular step size and wall proximity have been investigated. Results were found in the form of stream function and vorticity distributions with pressure distributions and drag coefficients calculated from them. The results compare favorably with experimental data and show a steady trend from Hadamard‐Rybczynski flow to boundary‐layer flow after Levich‐Chao‐Moore. For a circulating sphere of low viscosity there is no flow separation indicated at Reynolds numbers equal to or less than 200.