抄録
<jats:p>In this paper, we obtain the first-order necessary optimality conditions of an optimal control problem for a distributed parameter system with geometric control, namely, the minimum-drag problem in Stokes flow (flow at a very low Reynolds number). We find that the unit-volume body with smallest drag must be such that the magnitude of the normal derivative of the velocity of the fluid is constant on the boundary of the body. In a three-dimensional uniform flow, this condition implies that the body with minimum drag has the shape of a pointed body similar in general shape to a prolate spheroid but with some differences including conical front and rear ends of angle 120°.</jats:p>
収録刊行物
-
- Journal of Fluid Mechanics
-
Journal of Fluid Mechanics 59 (1), 117-128, 1973-06-05
Cambridge University Press (CUP)
- Tweet
詳細情報 詳細情報について
-
- CRID
- 1361699994104626944
-
- NII論文ID
- 30022896603
-
- ISSN
- 14697645
- 00221120
-
- データソース種別
-
- Crossref
- CiNii Articles