On optimum design in fluid mechanics
- 3 June 1974
- journal article
- research article
- Published by Cambridge University Press (CUP) in Journal of Fluid Mechanics
- Vol. 64 (1), 97-110
- https://doi.org/10.1017/s0022112074002023
Abstract
In this paper, the change in energy dissipation due to a small hump on a body in a uniform steady flow is calculated. The result is used in conjunction with the variational methods of optimal control to obtain the optimality conditions for four minimum-drag problems of fluid mechanics. These conditions imply that the unit-area profile of smallest drag has a front end shaped like a wedge of angle 90°.Keywords
This publication has 3 references indexed in Scilit:
- Rate of Convergence of a Class of Methods of Feasible DirectionsSIAM Journal on Numerical Analysis, 1973
- On stationary solutions of the Navier-Stokes equations as limits of nonstationary solutionsArchive for Rational Mechanics and Analysis, 1970
- On steady-state solutions of the Navier-Stokes partial differential equationsArchive for Rational Mechanics and Analysis, 1959