Optimization of body shape at small Reynolds numbers
Abstract
In the present analysis, the optimality conditions for a profile in Stokes flow are written in the form of an expansion in series of the Reynolds number, treating the latter as a small parameter. Boundary value problems for determining small corrections to the optimal configuration obtained in the Stokes approximation are formulated. It is shown that a profile which is optimal in the Stokes approximation remains optimal at small Reynolds numbers, provided only the first terms are taken into consideration in the corresponding expansions.
- Publication:
-
PMTF Zhurnal Prikladnoi Mekhaniki i Tekhnicheskoi Fiziki
- Pub Date:
- July 1978
- Bibcode:
- 1978PMTF...19...87M
- Keywords:
-
- Aerodynamic Configurations;
- Airfoil Profiles;
- Optimization;
- Reynolds Number;
- Stokes Flow;
- Boundary Value Problems;
- Functionals;
- Integral Equations;
- Partial Differential Equations;
- Shapes;
- Fluid Mechanics and Heat Transfer