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Entropy production and Newton's cooling law
Producción de entropía y ley de enfriamiento de Newton
DOI:
https://doi.org/10.15446/ing.investig.v29n2.15167Keywords:
minimum entropy production, Newton’s cooling law, linear irreversible thermodynamics (en)mínima producción de entropía, ley de enfriamiento de Newton, termodinámica lineal de los procesos irreversibles (es)
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The thermodynamic theory of irreversible processes was applied to studying heat exchange described by Newton's cooling law. It is shown that the steady states described by Newton's law are not states having minimum entropy production; it is then proved that Newton's law is not a consequence of a linear relationship between fluxes and thermodynamic forces. Systems are often constrained and heat exchange can be optimised if entropy production is minimised according to the second law.
References
Barragán, D., Suárez, M. F., Hernández, G., Fisicoquímica Experimental: Procesos de Transporte y Cinética Química., Colección Notas de Clase, Facultad de Ciencias, Universidad Nacional de Colombia, Bogotá, 2002, pp. 44-48.
Bejan, A., Entropy generation minimization., The method of thermodynamic optimization of finite-size systems and finite-time processes., CRC Press, New York, 1996.
Bejan, A., Advanced engineering thermodynamics., 3th Edition, John Wiley, Hoboken-New Jersey, 2006, pp. 656-665
Danielewicz-Ferchmin, I., Ferchmin, A. R., A check of Prigogine's theorem of minimum entropy production in a rod in a nonequilibrium stationary state., American Journal of Physics, Vol. 68, No. 10, 2000, pp. 962-965 (Críticas a este trabajo fueron dadas por: Palffy-Muhoray, P., American Journal of Physics., Vol. 69, No. 7, 2001, pp. 825–826 y Hoover, W. G., American Journal of Physics., Vol. 70, 2002, pp. 452.)
Shoemaker, D. P., Garland, C. W., Nibler, J. W., Experiments in Physical Chemistry, 7th Edition, McGraw-Hill, 2003, pp.183-184.
Incropera, F. P., De Witt, D. P., Introduction to heat transfer., 2nd Edition, John Wiley, New York, 1990, pp. 13-20, 80-86, 226-236.
Kjelstrup, S., Bedeaux, D., Johannessen, E., Elements of Irreversible Thermodynamics for Engineers., 2nd Edition, Tapir Academic Press, Trondheim-Norway, 2006.
Onsager, L., Reciprocal relations in irrevesible processes I., Physical Review, Vol. 37, 1931a, pp. 405-426.
Onsager, L., Reciprocal relations in irrevesible processes II., Physical Review, Vol. 38, 1931b, pp. 2265-2279.
Prigogine, I., Glansdorff, P., Thermodynamic theory of structure, stability and fluctuations., Wiley-Interscience, New York, 1971, pp. 34-38.
Prigogine, I., Kondepudi, D., Modern Thermodynamics: From heat engines to dissipative structures., John Wiley, England, 1998, pp. 92-94, 385-426.
Ross, J., Hunt, K. L. C., Hunt, P. M., Dissipation in steady states of chemical systems and deviations from minimum entropy production., Physica A, Vol. 147, No. 1-2, 1987, pp. 48-60.
Ross, J., Hunt, K. L. C., Hunt, P. M., Deviations from minimum entropy production at steady states of reacting chemical systems arbitrarily close to equilibrium., Physica A, Vol. 154, 1988, pp. 207-211.
Sabater, B., Are organisms committed to lower their rates of entropy production? Possible relevance to evolution of the Prigogine theorem and the ergodic hypothesis., Biosystems, Vol. 83, 2006, pp. 10-17.
Salamon, P., Hoffmann, K. H., Schubert, S., Berry, R. S., Andresen, B. What conditions make minimum entropy production equivalent to maximum power production?., Journal of Non-Equilibrium Thermodynamics, Vol. 26, 2001, pp. 73-83.
Van Rysselberghe, P., Thermodynamics of irreversible Processes, Hermann, Paris, 1963, pp. 29-31.
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Copyright (c) 2009 Daniel Barragán
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