Searching optimal shape in viscous flow: its dependence on Reynolds number

Details Searching optimal shape in viscous flow: its dependence on Reynolds number Searching optimal shape in viscous flow: its dependence on Reynolds number

2008-10-09

arxiv.org/abs/0810.1679v1

Physics

Fluid Dynamics

Keywords: fluid dynamics, Navier-Stokes equations, optimal shape design, cartesian transformation rule, Reynolds number

Scientific paper

In this work a simple problem on 2D optimal shape for body immersed in a viscous flow is analyzed. The body has geometrical constraints and its profile would be found in the class of cubics which satisfy those conditions. The optimal profile depends on the leading coefficient of these cubics and its relation with the Reynolds number of the system is found. The solution to the problem uses a method based on a suitable transformation rule for the cartesian reference.

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