Steady interphase heat transfer in nonlinear media - a variational principle

• Autorzy: Sieniutycz S.
• Języki publikacji: EN

Abstrakty

EN

A Format-like principle of minimum time is formulated to predict the change in direction of the heat flux within each phase and through the interface between two immiscible media differring with value of the specific thermal resistance. The basis for the principle are single-phase extremum properties of the entropy production and a related Onsagerian framework for heat transfer in the entropy representation. It is shown that a thermal ray spanned between two given points takes the shape that assures that its relatively large part resides in the region of lower thermal resistance (a 'rarer' region of the medium). In other words, the energy flux bends into the direction which ensures its shape corresponding with the longest residence time of energy in regions of larger conductivity. This property makes one possible to predict shapes of thermal rays or paths of the heat flow and to develop the corresponding Hamilton-Jacobi formalism that describes moton of thermal wavefronts.

Słowa kluczowe

EN

energy flow; entropy; thermal waves; variational principles

• Wydawca: Wydawnictwo Instytutu Maszyn Przepływowych PAN ; Komitet Termodynamiki i Spalania PAN
• Czasopismo: Archives of Thermodynamics
• Rocznik: 2002
• Tom: Vol. 23, no 3
• Strony: 79--90
• Opis fizyczny: Bibliogr. 5 poz.,

Twórcy

autor

Sieniutycz S.

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

Bibliografia

• [1] TAN A., HOLLAND L.R.: Tangent law of refraction for linear conduction through an interface and related variational principle, Am. J. Phys, Vol. 58(1990), 998-991.
• [2] SIENIUTYCZ S.: Dynamic programming approach to a Fermat-type principle for heat flow, Intern. J. Heat and Mass Transfer, Vol. 43(2000), 3453-3468.
• [3] ARIS R.: Discrete Dynamic Programming, Blaisdell, New York 1964.
• [4] SIENIUTYCZ S.: Extremum properties of interphase chemical reactions in catalytic systems, Fourth International Symposium on Catalysis in Multiphase Reactors, Lau- sanne, Switzerland, 22-25 September, 2002, (in process of publication in Catalysis Today, (2002).
• [5] SIENIUTYCZ S.: A Fermat-like principle for chemical reactions in heterogeneous systems, Open Sys. & Information Dyn. 9(2002), 257-272.