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International Journal of Fluid Mechanics Research
ESCI SJR: 0.206 SNIP: 0.446 CiteScore™: 0.5

ISSN Imprimir: 2152-5102
ISSN On-line: 2152-5110

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International Journal of Fluid Mechanics Research

DOI: 10.1615/InterJFluidMechRes.v40.i2.20
pages 106-114

On a Closed-Form Solution of Prandtl's System of Equations

J. Venetis
School of Applied Mathematics and Physical Sciences NTUA, Section of Mechanics, 5 Heroes of Polytechnion Ave., GR—15773 Athens, Greece
Emilio Sideridis
School of Applied Mathematics and Physical Sciences NTUA, Section of Mechanics, 5 Heroes of Polytechnion Ave., GR—15773 Athens, Greece
https://www.researchgate.net/profile/Aimilios_Sideridis

RESUMO

In this paper, we will attempt to obtain a closed form solution of Prandtl's system of equations which describe the boundary layer of a two-dimensional steady and incompressible viscous flow over a curved surface. Specifically, we will obtain a direct integration of these equations resulting step by step to a closed-form expression for velocity profile taking also into account the corresponding boundary conditions which complete the known from literature Prandtl's simplified assumptions concerning boundary layer flows.


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