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Isothermal flow past a blowing sphere
Author(s) -
Cliffe K. A.,
Lever D. A.
Publication year - 1985
Publication title -
international journal for numerical methods in fluids
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.938
H-Index - 112
eISSN - 1097-0363
pISSN - 0271-2091
DOI - 10.1002/fld.1650050804
Subject(s) - stream function , reynolds number , drag , mechanics , hele shaw flow , isothermal flow , potential flow around a circular cylinder , drag coefficient , mathematics , flow (mathematics) , classical mechanics , compressibility , vorticity , physics , open channel flow , vortex , turbulence
Steady, axisymmetric, isothermal, incompressible flow past a sphere with uniform blowing out of the surface is investigated for Reynolds numbers in the range 1 to 100 and surface velocities up to 10 times the free stream value. A stream‐function‐velocity formulation of the flow equations in spherical polar co‐ordinates is used and the equations are solved by a Galerkin finite‐element method. Reductions in the drag coefficients arising from blowing are computed and the effects on the viscous and pressure contributions to the drag considered. Changes in the surface pressure, surface vorticity and flow patterns for two values of the Reynolds number (1 and 40) are examined in greater detail. Particular attention is paid to the perturbation to the flow field far from the sphere.