In this article a new principle of geometric design for blade's surface of an impeller is provided.This is an optimal control problem for the boundary geometric shape of flow and the control variable is the surface of the blade.We give a minimal functional depending on the geometry of the blade's surface and such that the flow's loss achieves minimum.The existence of the solution of the optimal control problem is proved and the Euler-Lagrange equations for the surface of the blade are derived.In addition,un...
【基金】
This work was supported bythe National Natural Science Foundation of China(No.50306019,40375010,10471110,10471109).
【更新日期】
2007-06-12
【分类号】
O232
【正文快照】
Turbomachinery design is driven by the needof i mproved perfor mance and reliability.Up tonow we did not find a reported design method en-tirely fromthe mathematical point of view.In thispaper we try to propose a principle for the fullymathematical design
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