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- W2783521697 abstract "We discuss the optimal control problem of enhancing heat transfer between two fluids via controlling the velocity of the cold fluid flow. In this paper, we consider that the fluid flow for cooling the hot fluid is a Stokes fluid flow induced by the boundary control inputs through the Navier slip boundary conditions. This approach is motivated by the study of optimal heat transfer by counter rotating walls. The objective is to minimize the average temperature of the hot fluid by optimal control of the cold flow velocity. This essentially leads to a bilinear control problem. We present a rigorous proof of the existence of an optimal control and derive the first-order necessary conditions for optimality by using a variational inequality." @default.
- W2783521697 created "2018-01-26" @default.
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- W2783521697 date "2017-12-01" @default.
- W2783521697 modified "2023-09-23" @default.
- W2783521697 title "Enhancement of heat transfer in stokes flows" @default.
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- W2783521697 doi "https://doi.org/10.1109/cdc.2017.8263643" @default.
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