Optimal control in multiphase flow systems by Hamilton-Jacobi-Bellman

• Autorzy: Sieniutycz S.
• Języki publikacji: EN

Abstrakty

EN

Using Bellman's method of dynamic programming, we present a synthesis of divorse optimization approaches to active (work producing) and inactive (entropy generating) multiphase flow systems. we consider multiphase thermal machines, optimally controlled unit operations, nonlinear heat conduction, spontaneous relaxation processes and self-propagating wave fronts. They are all shown to satisfy a discrete Hamilton-Jacobi-Bellman equation (HJB equation) and a corresponding discrete optimization algorithm of Pontryagin's type, with the maximum principle for Hamiltonian. we show that a common unifying criterion can be set for all considered systems, which is the criterion of a minimum generated entropy, and that the extremal structures are always canonical. We also show that constraints can modify the resulting functionals in a different way for each group of the processes considered; thus the resulting structures of these functionals may differ significantly. Practical conclusions are formulated regarding the energy savings and energy policy in optimally controlled multiphase systems.

Słowa kluczowe

EN

Hamilton-Jacobi-Bellman equation; multiphase flow systems

• Wydawca: Wydawnictwo Instytutu Maszyn Przepływowych PAN ; Komitet Termodynamiki i Spalania PAN
• Czasopismo: Archives of Thermodynamics
• Rocznik: 1999
• Tom: Vol. 20, no 3/4
• Strony: 27--48
• Opis fizyczny: Bibliogr. 41 poz.,

Twórcy

autor

Sieniutycz S.

• Faculty of Chemical Engineering, Warsaw University of Technology, ul. Waryńskiego 1, 00-645 Warszawa