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Prandtl number Boundary layer Blasius boundary layer Polynomial Boundary layer thickness Laminar flow Mathematical analysis Mathematics Boundary (topology) Geometry Layer (electronics) Boundary layer control Simple (philosophy) Physics Materials science Mechanics Convection Composite material Epistemology Philosophy

Michel Deville ·

YOU? · · 2022 · Open Access · · DOI: https://doi.org/10.1007/978-3-031-04683-4_7 · OA: W4294738931

The Prandtl’s equations for laminar boundary layer are obtained via dimensional analysis. The case of the flat plate is treated as a suitable example for the development of the boundary layer on a simple geometry. Various thicknesses are introduced. The integration of Prandtl’s equation across the boundary layer produces the von Kármán integral equation which allows the elaboration of the approximate von Kármán-Pohlhausen method where the velocity profile is given as a polynomial. The use of a third degree polynomial for the flat plate demonstrates the feasibility of the approach.