Abstract
In this chapter, we focus on the physics of the flow systems with reference to fluid elements. The law of motive force for the flow physics is explored in point-to-point and volume-to-volume flow situations. It attempts to enunciate a clear demarcation between the constructal theory, Fermat’s principle, and the law of motive force.
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P. Picasso
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References
Bejan, A.: Entropy Generation Minimization. CRC, Boca Raton (1996)
Bejan, A.: Notes on the history of the method of entropy generation minimization (finite time thermodynamics). J. Non-Equilib. Thermodyn. 21, 239–242 (1996)
Szargut, J., Morris, D.R., Steward, F.R.: Exergy Analysis of Thermal, Chemical and Metallurgical Processes. Hemisphere, New York (1988)
Yantovskii, E.I.: Energy and Exergy Currents. Nova Science, New York (1994)
Chen, L., Sun, F. (eds.): Advances in Finite Time Thermodynamics: Analysis and Optimization. Nova Science, New York (2004)
Sieniutycz, S., Salamon, P. (eds.): Finite-Time Thermodynamics and Thermoeconomics. Taylor & Francis, New York (1990)
Chambadal, P.: Les Centrales Nucleaires, pp. 41–58. Armand Colin, Paris (1957) (in French)
Landsberg, P.T., Leff, H.S.: Thermodynamic cycles with nearly universal maximum-work efficiencies. J. Phys. A Math. Gen. 22, 4019–4026 (1989)
Gaggioli, R. (ed.): Efficiency and Costing. ACS Symposium Series, vol. 235. ACS, Washington (1983)
Tribus, M., Evans, R.: The thermoeconomics of sea water conversion. UCLA Report No. 62-63, August 1962
Rozonoer, L.I., Tsirlin, A.M.: Optimal control of thermodynamic processes-I. Autom. Remote Control 44, 55–62 (1983)
Rozonoer, L.I., Tsirlin, A.M.: Optimal control of thermodynamic processes-II. Autom. Remote Control 44, 209–220 (1983)
Rozonoer, L.I., Tsirlin, A.M.: Optimal control of thermodynamic processes-III. Autom. Remote Control 44, 314–326 (1983)
Salamon, P., Nulton, J.D., Siragusa, G., Andresen, T.R., Limon, A.: Principles of control thermodynamics. Energy 26, 307–319 (2001)
Bejan, A.: Advanced Engineering Thermodynamics, p. 807. Wiley, New York (1997)
Bejan, A.: Constructal-theory network of conducting paths for cooling a heat generating volume. Int. J. Heat Mass Transf. 40, 799–816 (1997)
Bejan, A.: Shape and Structure, from Engineering to Nature, pp. 60–62. Cambridge University Press, Cambridge (2000)
Bejan, A., Dan, N.: Two constructal routes to minimal heat flow resistance via greater internal complexity. J. Heat Transf. 121, 6–14 (1999)
Bejan, A., Errera, M.R.: Deterministic tree networks for fluid flow: geometry of minimum flow resistance between a volume and one point. Fractals 5, 685–695 (1997)
Bejan, A., Ledezma, G.A.: Streets tree networks and urban growth: optimal geometry for quickest access between finite-size volume and one point. Physica A 255, 211–217 (1998)
Dan, N., Bejan, A.: Constructal tree networks for the time dependent discharge of a finite-size volume to one point. J. Appl. Phys. 84, 3042–3050 (1998)
Ledezma, G.A., Bejan, A., Errera, M.R.: Constructal tree networks for heat transfer. J. Appl. Phys. 82, 89–100 (1997)
Crammer, F.: Chaos and Order. VCH, Weinheim (1993)
Prigogine, I.: From Being to Becoming. Freeman, New York (1980)
Thompson, D.W.: On Growth and Form. Cambridge University Press, Cambridge (1942)
Avnir, D., Biham, O., Lidar, D., Malacai, O.: Is the geometry of nature fractal? Science 279, 39–40 (1998)
Bejan, A.: Advanced Engineering Thermodynamics, pp. 739–742. Wiley, New York (1997)
Nottale, L.: Fractal Space-Time and Microphysics. World Scientific, Philadelphia (1982)
Bejan, A.: Advanced Engineering Thermodynamics, p. 724. Wiley, New York (1997)
Bejan, A.: Advanced Engineering Thermodynamics, p. 727. Wiley, New York (1997)
Bejan, A.: Advanced Engineering Thermodynamics, p. 745. Wiley, New York (1997)
Bejan, A.: Advanced Engineering Thermodynamics, p. 749. Wiley, New York (1997)
Bejan, A.: Advanced Engineering Thermodynamics, p. 743. Wiley, New York (1997)
Bejan, A.: Shape and Structure, from Engineering to Nature. Cambridge University Press, Cambridge (2000)
Parkus, H., Sedov, L.I. (eds.): Irreversible Aspect of Continuum Mechanics and Transfer of Physical Characteristics in Moving Fluids. Springer, Berlin (1968)
Sedov, L.I.: Introduction to the Mechanics of Continuous Medium. Addison-Wesley, New York (1965)
Sedov, L.I. (ed.): Macroscopic Theories of Matter and Fields: A Thermodynamic Approach (trans: Yankovsky, E.), pp. 19–42, 43–97. Mir, Moscow (1983)
Van Der Waals, J.D.: On the Continuity of Gaseous and Liquid States. In: Rowlinson, J.S. (ed.). Dover, New York (2004)
Bejan, A.: Advanced Engineering Thermodynamics, pp. 352–356, 464–466, 569–571, 709–721, 782–788, 816–820. Wiley, New York (2006)
Bejan, A.: Shape and Structure, from Engineering to Nature, pp. 53–56, 84–88, 99–108, 151–161, 220–223, 234–242, 287–288. Cambridge University Press, Cambridge (2000)
Bejan, A., Tondeur, D.: Equipartition, optimal allocation, and the constructal approach to predicting organization in nature. Rev. Gen. Therm. 37, 165–180 (1998)
De Vos, A., Desoete, B.: Equipartition principle in finite-time thermodynamics. J. Non-Equilib. Thermodyn. 25, 1–13 (2000)
Pramanick, A.K., Das, P.K.: Note on constructal theory of organization in nature. Int. J. Heat Mass Transf. 48, 1974–1981 (2005)
Bejan, A.: Constructal comment on a Fermat-type principle for heat flow. Int. J. Heat Mass Transf. 46, 1885–1886 (2003)
Monin, A.S., Yaglom, A.M.: Statistical Fluid Mechanics-I. In: Lumley, J.L. (ed.). Dover, New York (2007)
Monin, A.S., Yaglom, A.M.: Statistical Fluid Mechanics-II. In: Lumley, J.L. (ed.). Dover, New York (2007)
Yanenko, N.N., Shokin, Yu.I. (eds.): Numerical Methods in Fluid Dynamics (trans: Shokurov, V., Hainsworth, R.N. (ed.) Mir, Moscow (1984)
Sagdeev, R.Z.: Nonlinear Phenomena in Plasma Physics and Hydrodynamics (trans: Ilyushchenko, V.). Mir, Moscow (1986)
Bergman, S., Schiffer, M.: Kernel Functions and Elliptic Differential Equations in Mathematical Physics, pp. 59–64. Dover, New York (2005)
Friedman, A.: Variational Principles and Free-Boundary Problems. Dover, New York (2010)
Lavrent’ev, M.A.: Variational Methods for Boundary Value Problems for Systems of Elliptic Equations (trans: Radok, J.R.M.), pp. 42–71. Dover, New York (2006)
Hornung, H.G.: Dimensional Analysis. Dover, New York (2006)
Sedov, L.I.: Similarity and Dimensional Methods in Mechanics (trans: Kisin, V.I.). Mir, Moscow (1982)
Yarin, L.P.: The Pi-Theorem. Springer, New York (2012)
Bejan, A.: Convection Heat Transfer, pp. 19–23. Wiley, New York (2004)
Bejan, A.: The method of scale analysis: natural convection in fluids. In: Kakac, S., Aung, W., Viskanta, R. (eds.) Natural Convection: Fundamentals and Applications. Hemisphere, Washington (1985)
Bejan, A.: The method of scale analysis: natural convection in porous media. In: Kakac, S., Aung, W., Viskanta, R. (eds.) Natural Convection: Fundamentals and Applications. Hemisphere, Washington (1985)
Bejan, A.: Advanced Engineering Thermodynamics, p. 811. Wiley, New York (1997)
Sychev, V.V.: Complex Thermodynamic Systems (trans: Yankovsky, E.), pp. 165–182. Mir, Moscow (1981)
Courant, R., Robbins, H.: What is Mathematics? (Stewart, I., Revised), pp. 9–20. Oxford University Press, Oxford (2007)
Vardy, A.: Fluid Principles, pp. 57–58. McGraw-Hill, New York (1990)
Courant, R., Robbins, H.: What is Mathematics? (Stewart, I., Revised), p. 478. Oxford University Press, Oxford (2007)
Vardy, A.: Fluid Principles, p. 73. McGraw-Hill, New York (1990)
Bejan, A.: Advanced Engineering Thermodynamics, p. 70. Wiley, New York (1997)
Lamb, H.: Hydrodynamics, pp. 384–394. Cambridge University Press, Cambridge (1974)
Rayleigh, L.: On the theory of long waves and bores. Proc. R. Soc. Lond. A 90, 324–328 (1914)
Kochin, N.E.: On the theory of Cauchy-Poisson waves. Tr. MIAN SSSR 9 (1935) (in Russian)
Sedov, L.I.: On the theory of small-amplitude waves on the surface of an incompressible fluid. Vestnik MGU 11, 71–77 (1948) (in Russian)
Reynolds, O.: An experimental investigation of the circumstances which determine whether the motion of water shall be direct or sinuous, and of the law of resistance in parallel channels. Philos. Trans. R. Soc. Lond. 174, 935–982 (1883)
Bejan, A.: On the buckling property of inviscid jets and the origin of turbulence. Lett. Heat Mass Transf. 8, 187–194 (1981)
Bejan, A.: Entropy Generation Through Heat and Fluid Flow, p. 75. Wiley, New York (1982)
Crow, S.C., Champagne, F.H.: Orderly structure in jet turbulence. J. Fluid Mech. 48, 547–591 (1971)
Glansdorff, P., Prigogine, I.: Thermodynamic Theory of Structure, Stability and Fluctuations, pp. 126–153. Wiley-Interscience, New York (1971)
Heisenberg, W.: Uber Stabilitat und Turbulenz von Flussigkeitsstromen. Ann. Phy. Lpz. 74, 577–627 (1924) (in German). Also NACA TM-1291 (1951)
Lin, C.-C.: On the stability of two-dimensional parallel flows. Proc. NAS 30, 316–324 (1944)
Rayleigh, L.: On the stability, or instability of certain fluid motions. Proc. Lond. Math. Soc. 11, 57–70 (1880)
Tollmien, W.: Ein allgemeines Kriterum der Instabilitat laminarer Gesegwindigkeitsverteilungen. Nachr. Wissfachgruppe, Göttingen Math. Phys. 1, 79–114 (1935) (in German). Also NACA TM-792 (1936)
Chandrasekhar, S.: Hydrodynamic and Hydromagnetic Stability, pp. 272–342. Dover, New York (1981)
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Pramanick, A.K. (2014). Fluid Flow Systems. In: The Nature of Motive Force. Heat and Mass Transfer. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-54471-2_4
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