Method of Series Truncation Applied to Some Problems in Fluid Mechanics
Topics include thin layers: the blunt body problem; changes of variable: an accurate blunt-body solution; Thick layers: viscous flow past circle and parabola; local truncations: viscous flow past a flat plate.
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1st truncation AIAA Journal Applied Mathematics blunt-body flows blunt-body problem boundary-layer theory changes of variable circular cylinder downstream coordinate Drag of circular elliptic expanded in powers expands the stream flat plate flow field Fluid Mechanics fourth truncation higher truncations hypersonic blunt-body Hypersonic flow hypersonic stream incompressible viscous flow integrated drag Journal of Mechanics layer low Reynolds numbers M. D. VAN DYKE Mechanics and Applied method of series Navier-Stokes equations number is reduced numerical integration ordinary differential equations Oseen approximation Oseen solution Oseen truncation parabolic coordinates paraboloidal shock wave partial differential equation past a blunt plane or axisymmetric previous coefficients R. T. Davis second truncation series truncation setting g skin friction solution for paraboloidal solution is expanded sonic point stagnation point Stanford University stream function subsonic region surface pressure Swigart Swigart's solution Taylor series time-like variable Tritton's truncation consists upstream influence viscous flow past wave in hypersonic