Accession Number : AD0612411

Title :   THE CIRCLE AT LOW REYNOLDS NUMBER AS A TEST OF THE METHOD OF SERIES TRUNCATION,

Corporate Author : STANFORD UNIV CALIF DEPT OF AERONAUTICS AND ASTRONAUTICS

Personal Author(s) : Van Dyke,Milton

Report Date : OCT 1964

Pagination or Media Count : 17

Abstract : A semi-analytical scheme of successive approximations is described for treating elliptic differential equations. As an extreme test of the method, it is applied to incompressible viscous flow past a circular cylinder. For the Oseen equations the first approximation is found analytically and the second numerically. The results for drag and eddy formation appear to approach the true solution satisfactorily. For the Navier-Stokes equations only the first approximation was calculated, giving drag that agrees only qualitatively with experiment. (Author)

Descriptors :   (*SERIES(MATHEMATICS), PARTIAL DIFFERENTIAL EQUATIONS), (*INCOMPRESSIBLE FLOW, CYLINDRICAL BODIES), BOUNDARY LAYER, STAGNATION POINT, TURBULENCE, REYNOLDS NUMBER, SHOCK WAVES, BOUNDARY VALUE PROBLEMS, NUMERICAL ANALYSIS, SPHERES, VISCOSITY, DRAG, NUMERICAL INTEGRATION, RINGS

Distribution Statement : APPROVED FOR PUBLIC RELEASE