Entropy generation minimization in steady-state and transient diffusional heat conduction processes Part I – Steady-state boundary value problem

• Autorzy: Kolenda Z. S. , Szmyd J. S. , Huber J.

Identyfikatory

DOI

10.2478/bpasts-2014-0096

• Języki publikacji: EN

Abstrakty

EN

An application of the Entropy Generation Minimization principle allows new formulation of the boundary and initial boundaryvalue problems. Applying Euler-Lagrange variational formalism new mathematical form of heat conduction equation describing steady-state processes have been derived. Mathematical method presented in the paper can also be used for any diffusion heat and mass transfer process. Linear and non-linear problems with internal heat sources have been analyzed.

Słowa kluczowe

EN

heat conduction; entropy generation; boundary value problems; Euler-Lagrange variational equation

PL

przewodzenia ciepła; generacja entropii; problemy granica -wartość; wariacyjne równanie Eulera-Lagrange'a

• Wydawca: Polska Akademia Nauk, Wydział IV Nauk Technicznych
• Czasopismo: Bulletin of the Polish Academy of Sciences. Technical Sciences
• Rocznik: 2014
• Tom: Vol. 62, nr 4
• Strony: 875--882
• Opis fizyczny: Bibliogr. 7 poz., rys., tab., wykr.

Twórcy

autor

Kolenda Z. S.

• AGH University of Science and Technology, Department of Fundamental Research in Energy Engineering, 30 Mickiewicza Ave., 30-059 Kraków, Poland

autor

Szmyd J. S.

• AGH University of Science and Technology, Department of Fundamental Research in Energy Engineering, 30 Mickiewicza Ave., 30-059 Kraków, Poland

autor

Huber J.

• Institute of Nuclear Physics, 152 Radzikowskiego St., 31-314 Kraków, Poland

Bibliografia

• [1] H.S. Carslaw and J.C. Jaeger, Conduction of Heat in Solids, Clarendon Press, Oxford, 1959.
• [2] D. Kondepudi and I. Prigogine, Modern Thermodynamics, John Wiley & Sons, Chichester, 1998.
• [3] R. Bujakiewicz-Koronska, “Transformation of matter and information in dissipative structures”, PhD Thesis, AGH University of Science and Technology, Krakow, 1997.
• [4] H. Margenau and G.M. Murphy, The Mathematics of Physics and Chemistry, Van Nostrand Co., Princeton, 1956.
• [5] A. Bejan, Entropy Generation Minimization, Chapter 6, CRC Press, Boca Raton, 1986.
• [6] J. Latkowski, “Minimization of entropy generation in steady state processes of heat transfer”, PhD Thesis, AGH University of Science and Technology, Kraków, 2006.
• [7] Z. Kolenda, “On the minimum entropy production in steady state heat conduction”, Energy 29, 2441-60 (2004). 882