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- W1966236237 abstract "Abstract The problem considered is that of controlling the temperature distribution of a fluid in fully developed laminar flow through a circular tube. It is assumed that suitable heating and cooling arrangements are available in a refractory casing surrounding the tube and that in its passage through a section of the tube of given length the mean temperature of the fluid has to be reduced (or increased) by a specified amount. The main feature of the problem lies in the additional requirement that the temperature distribution at the final cross-section must also be controlled to achieve some desired distribution. The problem is solved by application of optimal control theory. A quadratic cost functional is set up which includes a term measuring the closeness of fit to the desired exit temperature distribution and a constraint term to avoid unrealistic temperatures in the refractory. The solution is obtained by use of a Matrix-Riccati algorithm and also by dynamic programming. Numerical results are presented for a particular flow of molten glass. Typical exit and refractory temperature distributions are exhibited and the benefits of control are demonstrated. The results show clearly the extent to which the desired temperature distribution can be achieved for given available power." @default.
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- W1966236237 date "1976-09-01" @default.
- W1966236237 modified "2023-09-26" @default.
- W1966236237 title "Temperature control of poiseuille flow with particular application to flow of molten glass" @default.
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- W1966236237 doi "https://doi.org/10.1016/0017-9310(76)90188-5" @default.
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