VIEWPOINTS ON TRANSPORT PHENOMENA

Bird RB

Korean Journal of Chemical Engineering, Vol.15, No.2, 105-123, March, 1998

DOI10.1007/BF02707063 Export Citation

VIEWPOINTS ON TRANSPORT PHENOMENA

Bird RB

Keywords:Transport Phenomena;Kinetic Theory;Conservation Equations;Irreversible Processes;Multicomponent Mixtures

[References]

Aris R, "The Mathematical Theory of Diffusion and Reaction in Permeable Catalysts," Oxford University Press, London (1975)
Aris R, "Vectors, Tensors, and the Basic Equations of Fluid Mechanics," Prentice-Hall, Englewood Cliffs, New Jersey (1962)
Baird DG, Collias DI, "Polymer Processing: Principles and Design," Butterworth-Heinemann, Boston (1995)
Batchelor GK, "An Introduction to Fluid Dynamics," Cambridge University Press (1967)
Bearman RJ, Kirkwood JG, J. Chem. Phys., 28, 136 (1958)
Beris A, Edwards BJ, "Thermodynamics of Flowing Systems with Internal Microstructure," Oxford University Press (1994)
Berker R, "Integration des equations du mouvement d'um fluide visqueux incompressible," in "Handbuch der Physik," vol. VIII/2, Springer, Berlin (1963)
Bhatnagar PL, Gross EP, Krook M, Phys. Rev., 94, 511 (1954)
Bird RB, Armstrong RC, Hassager O, "Dynamics of Polymeric Liquids, Volume 1, Fluid Mechanics," Wiley-Interscience, New York, 1st Edition (1977)
Bird RB, Armstrong RC, Hassager O, "Dynamics of Polymeric Liquids, Volume 1, Fluid Mechanics," Wiley-Interscience, New York, 2nd Edition (1987)
Bird RB, Chem. Eng. Educ., 102 (1993)
Bird RB, Chem. Eng. Sci., 6, 123 (1957)
Bird RB, Curtiss CF, Armstrong RC, Hassager O, "Dynamics of Polymeric Liquids, Volume 2, Kinetic Theory," Wiley-Interscience, New York, 2nd Edition (1987)
Bird RB, Graham MD, "General Equations of Newtonian Fluid Dynamics," Chapter 3 in "The Handbook of Fluid Dynamics," R.W. Johnson, Editor-in-Chief, CRC Press, Boca Raton, Florida (1998)
Bird RB, Stewart WE, Lightfoot EN, "Transport Phenomena," Wiley, New York (1960)
Bird RB, Stewart WE, Lightfoot EN, 56th (corrected) printing (1997)
Bird RB, Wiest JM, "Non-Newtonian Liquids," Chapter 3 in "Handbook of Fluid Dynamics and Fluid Machinery," eds. J.A. Schetz and A.E. Fuhs, Wiley-Interscience, New York (1996)
Brenner H, Edwards DA, "Macrotransport Processes," Butterworth-Heinemann, Boston (1993)
Callen HB, "Thermodynamics and Thermostatistics," Wiley, New York, Second Edition (1985)
Carey GF, Oden JT, "Finite Elements, vol. 6: Fluid Mechanics," Prentice-Hall, Englewood Cliffs, New Jersey (1986)
Carslaw HS, Jaeger JC, "Conduction of Heat in Solids," Oxford University Press, 2nd Edition (1959)
Chapman S, Cowling TG, "The Mathematical Theory of Non-Uniform Gases," Cambridge University Press, 3rd Edition (1970)
Christensen RM, "Theory of Viscoelasticity," Academic Press, New York, Second Edition (1982)
Condiff DW, Dahler JS, Phys. Fluids, 7, 842 (1964)
Crank J, "The Mathematics of Diffusion," Oxford University Press (1956)
Curtiss CF, J. Chem. Phys., 97, 1416 (1992)
Surtiss CF, J. Chem. Phys., 97, 1420 (1992)
Curtiss CF, J. Chem. Phys., 97, 7679 (1992)
Curtiss CF, Bird RB, Adv. Polym. Sci., 125, 1 (1996)
Curtiss CF, Bird RB, Proc. Nat. Acad. Sci., 93(15), 7440 (1996)
Curtiss CF, Bird RB, J. Chem. Phys., 107(13), 5254 (1997)
Curtiss CF, Hirschfelder JO, J. Chem. Phys., 17, 550 (1949)
Dahler JS, "High Density Phenomena," in "Research Frontiers in Fluid Dynamics," Eds. Seeger, R.J. and Temple, G., Wiley-Interscience, New York (1965)
Dahler JS, Scriven LE, Nature, 192(4797), 36 (1961)
Dahler JS, Scriven LE, Proc. Roy. Soc. London, A275, 504 (1963)
De Groot SR, Mazur P, "Non-Equilibrium Thermodynamics," North-Holland, Amsterdam (1962)
Dryden HL, Murnaghan FD, Bateman H, "Hydrodynamics," Dover, New York (1932)
Ferziger JH, Kaper HG, "Mathematical Theory of Transport Properties in Gases," North Holland, Amsterdam (1972)
Frisch U, "Turbulence: The Legacy of A.N. Kolmogorov," Cambridge University Press (1995)
Giesekus H, "Phanomenologische Rheologie: Eine Einfuhrung," Springer-Verlag, Berlin (1994)
Goldstein S, "Modern Developments in Fluid Dynamics," Oxford University Press (1938)
Gross EP, Jackson EA, Phys. Fluids, 2, 432 (1959)
Grmela M, Ottinger HC, Phys. Rev. E, 56, 6620 (1997)
Happel J, Brenner H, "Low Reynolds Number Hydrodynamics," Martinus Nijhoff, The Hague (1983)
Hirschfelder JO, Curtiss CF, Bird RB, "The Molecular Theory of Gases and Liquids," Wiley, New York (1954)
Hirschfelder JO, Curtiss CF, Bird RB, 2nd Corrected Printing (1964)
Irving JH, Kirkwood JG, J. Chem. Phys., 18, 817 (1950)
Kim S, Karrila SJ, "Microhydrodynamics: Principles and Selected Applications," Butterworth-Heinemann, Boston (1991)
Kuiken GD, Ind. Eng. Chem. Res., 34(10), 3568 (1995)
Lamb H, "Hydrodynamics," Dover, New York, 6th Edition (1932)
Landau LD, Lifshitz EM, "Fluid Mechanics," Pergamon, London, 2nd Edition (1987)
Landau LD, Lifshitz EM, "Mechanics," Addison Wesley, Reading, MA (1960)
Landolt-Bornstein Tables, "Zahlenwerte und Funktionen aus Naturwissenschaft und Technik," neue Series, Springer-Verlag, Berlin (1952)
Larson RG, "Constitutive Equations for Polymer Melts and Solutions," Butterworths, Boston (1988)
Lifshitz EM, Pitaevskii LP, "Physical Kinetics," Pergamon, Oxford (1981)
Lightfoot EN, "Transport Phenomena and Living Systems," Wiley, New York (1974)
Lodge AS, "Elastic Liquids," Academic Press, New York (1964)
Millat J, Dymond JH, NietodeCastro CA, "Transport Properties of Fluids: Their Correlation, Prediction and Estimation," Cambridge University Press (1996)
Milne-Thompson LM, "Theoretical Hydrodynamics," Macmillan, New York, 3rd Edition (1955)
Ottinger HC, "Stochastic Processes in Polymeric Fluids," Springer, Berlin (1996)
Ottinger HC, Phys. Rev. E, 57, 1416 (1998)
Ottinger HC, Grmela M, Phys. Rev. E, 56, 6633 (1997)
Pomraning GC, "The Equations of Radiation Hydrodynamics," Pergamon, Oxford (1973)
Reid RC, Prausnitz JM, Poling BE, "The Properties of Gases and Liquids," McGraw-Hill, New York (1987)
Richardson S, J. Fluid Mech., 59, 707 (1973)
Rutten WM, "Diffusion in Liquids," Delft University Press, Delft, The Netherlands (1992)
Sampson DH, "Radiative Contributions to Energy and Momentum Transport in a Gas," Wiley-Interscience, New York (1965)
Serrin J, "Mathematical Principles of Classical Fluid Mechanics," Handbuch der Physik, vol. VIII/1, Springer, Berlin (1959)
Slattery JC, Gaggioli RA, Chem. Eng. Sci., 17, 893 (1962)
Sparrow EM, Cess RD, "Radiation Heat Transfer," Brooks-Cole, Belmont, CA (1966)
Stephan K, Heckenberger T, "Thermal Conductivity and Viscosity Data of Fluid Mixtures," DECHEMA, Frankfurt (1988)
Taylor R, Krishna R, "Multicomponent Mass Transfer," Wiley, New York (1993)
Vargaftik NB, "Handbook of Physical Properties of Liquids and Gases: Pure Substances and Mixtures," Hemisphere, Washignton (1983)
Villat H, Kravtchenko J, "Lecons sur les Fluides Visqueux," Gauthier-Villars, Paris (1943)
Vincenti WG, Kruger CH, "Introduction to Physical Gas Dynamics," Wiley, New York (1965)
Waldmann L, "Transporterscheinungen in Gasen von mittlerem Druck," in "Handbuch der Physik," vol. 12, Springer, Berlin (1958)
Wedgewood LE, Geurts KR, Rheol. Acta, 34(2), 196 (1995)
Whitaker S, "Introduction to Fluid Mechanics," Prentice-Hall, Englewood Cliffs, NJ (1968)
Whitaker S, "The Development of Fluid Mechanics in Chemical Engineering," in "One-Hundred Years of Chemical Engineering," ed. N.A. Peppas, Kluwer, Dordrecht, pp. 47 (1989)
Yaws CL, "Handbook of Transport Property Data: Viscosity, Thermal Conductivity, and Diffusion Coefficients of Liquids and Gases, Gulf, Houston (1995)

[1] Aris R, "The Mathematical Theory of Diffusion and Reaction in Permeable Catalysts," Oxford University Press, London (1975)

[2] Aris R, "Vectors, Tensors, and the Basic Equations of Fluid Mechanics," Prentice-Hall, Englewood Cliffs, New Jersey (1962)

[3] Baird DG, Collias DI, "Polymer Processing: Principles and Design," Butterworth-Heinemann, Boston (1995)

[4] Batchelor GK, "An Introduction to Fluid Dynamics," Cambridge University Press (1967)

[5] Bearman RJ, Kirkwood JG, J. Chem. Phys., 28, 136 (1958)

[6] Beris A, Edwards BJ, "Thermodynamics of Flowing Systems with Internal Microstructure," Oxford University Press (1994)

[7] Berker R, "Integration des equations du mouvement d'um fluide visqueux incompressible," in "Handbuch der Physik," vol. VIII/2, Springer, Berlin (1963)

[8] Bhatnagar PL, Gross EP, Krook M, Phys. Rev., 94, 511 (1954)

[9] Bird RB, Armstrong RC, Hassager O, "Dynamics of Polymeric Liquids, Volume 1, Fluid Mechanics," Wiley-Interscience, New York, 1st Edition (1977)

[10] Bird RB, Armstrong RC, Hassager O, "Dynamics of Polymeric Liquids, Volume 1, Fluid Mechanics," Wiley-Interscience, New York, 2nd Edition (1987)

[11] Bird RB, Chem. Eng. Educ., 102 (1993)

[12] Bird RB, Chem. Eng. Sci., 6, 123 (1957)

[13] Bird RB, Curtiss CF, Armstrong RC, Hassager O, "Dynamics of Polymeric Liquids, Volume 2, Kinetic Theory," Wiley-Interscience, New York, 2nd Edition (1987)

[14] Bird RB, Graham MD, "General Equations of Newtonian Fluid Dynamics," Chapter 3 in "The Handbook of Fluid Dynamics," R.W. Johnson, Editor-in-Chief, CRC Press, Boca Raton, Florida (1998)

[15] Bird RB, Stewart WE, Lightfoot EN, "Transport Phenomena," Wiley, New York (1960)

[16] Bird RB, Stewart WE, Lightfoot EN, 56th (corrected) printing (1997)

[17] Bird RB, Wiest JM, "Non-Newtonian Liquids," Chapter 3 in "Handbook of Fluid Dynamics and Fluid Machinery," eds. J.A. Schetz and A.E. Fuhs, Wiley-Interscience, New York (1996)

[18] Brenner H, Edwards DA, "Macrotransport Processes," Butterworth-Heinemann, Boston (1993)

[19] Callen HB, "Thermodynamics and Thermostatistics," Wiley, New York, Second Edition (1985)

[20] Carey GF, Oden JT, "Finite Elements, vol. 6: Fluid Mechanics," Prentice-Hall, Englewood Cliffs, New Jersey (1986)

[21] Carslaw HS, Jaeger JC, "Conduction of Heat in Solids," Oxford University Press, 2nd Edition (1959)

[22] Chapman S, Cowling TG, "The Mathematical Theory of Non-Uniform Gases," Cambridge University Press, 3rd Edition (1970)

[23] Christensen RM, "Theory of Viscoelasticity," Academic Press, New York, Second Edition (1982)

[24] Condiff DW, Dahler JS, Phys. Fluids, 7, 842 (1964)

[25] Crank J, "The Mathematics of Diffusion," Oxford University Press (1956)

[26] Curtiss CF, J. Chem. Phys., 97, 1416 (1992)

[27] Surtiss CF, J. Chem. Phys., 97, 1420 (1992)

[28] Curtiss CF, J. Chem. Phys., 97, 7679 (1992)

[29] Curtiss CF, Bird RB, Adv. Polym. Sci., 125, 1 (1996)

[30] Curtiss CF, Bird RB, Proc. Nat. Acad. Sci., 93(15), 7440 (1996)

[31] Curtiss CF, Bird RB, J. Chem. Phys., 107(13), 5254 (1997)

[32] Curtiss CF, Hirschfelder JO, J. Chem. Phys., 17, 550 (1949)

[33] Dahler JS, "High Density Phenomena," in "Research Frontiers in Fluid Dynamics," Eds. Seeger, R.J. and Temple, G., Wiley-Interscience, New York (1965)

[34] Dahler JS, Scriven LE, Nature, 192(4797), 36 (1961)

[35] Dahler JS, Scriven LE, Proc. Roy. Soc. London, A275, 504 (1963)

[36] De Groot SR, Mazur P, "Non-Equilibrium Thermodynamics," North-Holland, Amsterdam (1962)

[37] Dryden HL, Murnaghan FD, Bateman H, "Hydrodynamics," Dover, New York (1932)

[38] Ferziger JH, Kaper HG, "Mathematical Theory of Transport Properties in Gases," North Holland, Amsterdam (1972)

[39] Frisch U, "Turbulence: The Legacy of A.N. Kolmogorov," Cambridge University Press (1995)

[40] Giesekus H, "Phanomenologische Rheologie: Eine Einfuhrung," Springer-Verlag, Berlin (1994)

[41] Goldstein S, "Modern Developments in Fluid Dynamics," Oxford University Press (1938)

[42] Gross EP, Jackson EA, Phys. Fluids, 2, 432 (1959)

[43] Grmela M, Ottinger HC, Phys. Rev. E, 56, 6620 (1997)

[44] Happel J, Brenner H, "Low Reynolds Number Hydrodynamics," Martinus Nijhoff, The Hague (1983)

[45] Hirschfelder JO, Curtiss CF, Bird RB, "The Molecular Theory of Gases and Liquids," Wiley, New York (1954)

[46] Hirschfelder JO, Curtiss CF, Bird RB, 2nd Corrected Printing (1964)

[47] Irving JH, Kirkwood JG, J. Chem. Phys., 18, 817 (1950)

[48] Kim S, Karrila SJ, "Microhydrodynamics: Principles and Selected Applications," Butterworth-Heinemann, Boston (1991)

[49] Kuiken GD, Ind. Eng. Chem. Res., 34(10), 3568 (1995)

[50] Lamb H, "Hydrodynamics," Dover, New York, 6th Edition (1932)

[51] Landau LD, Lifshitz EM, "Fluid Mechanics," Pergamon, London, 2nd Edition (1987)

[52] Landau LD, Lifshitz EM, "Mechanics," Addison Wesley, Reading, MA (1960)

[53] Landolt-Bornstein Tables, "Zahlenwerte und Funktionen aus Naturwissenschaft und Technik," neue Series, Springer-Verlag, Berlin (1952)

[54] Larson RG, "Constitutive Equations for Polymer Melts and Solutions," Butterworths, Boston (1988)

[55] Lifshitz EM, Pitaevskii LP, "Physical Kinetics," Pergamon, Oxford (1981)

[56] Lightfoot EN, "Transport Phenomena and Living Systems," Wiley, New York (1974)

[57] Lodge AS, "Elastic Liquids," Academic Press, New York (1964)

[58] Millat J, Dymond JH, NietodeCastro CA, "Transport Properties of Fluids: Their Correlation, Prediction and Estimation," Cambridge University Press (1996)

[59] Milne-Thompson LM, "Theoretical Hydrodynamics," Macmillan, New York, 3rd Edition (1955)

[60] Ottinger HC, "Stochastic Processes in Polymeric Fluids," Springer, Berlin (1996)

[61] Ottinger HC, Phys. Rev. E, 57, 1416 (1998)

[62] Ottinger HC, Grmela M, Phys. Rev. E, 56, 6633 (1997)

[63] Pomraning GC, "The Equations of Radiation Hydrodynamics," Pergamon, Oxford (1973)

[64] Reid RC, Prausnitz JM, Poling BE, "The Properties of Gases and Liquids," McGraw-Hill, New York (1987)

[65] Richardson S, J. Fluid Mech., 59, 707 (1973)

[66] Rutten WM, "Diffusion in Liquids," Delft University Press, Delft, The Netherlands (1992)

[67] Sampson DH, "Radiative Contributions to Energy and Momentum Transport in a Gas," Wiley-Interscience, New York (1965)

[68] Serrin J, "Mathematical Principles of Classical Fluid Mechanics," Handbuch der Physik, vol. VIII/1, Springer, Berlin (1959)

[69] Slattery JC, Gaggioli RA, Chem. Eng. Sci., 17, 893 (1962)

[70] Sparrow EM, Cess RD, "Radiation Heat Transfer," Brooks-Cole, Belmont, CA (1966)

[71] Stephan K, Heckenberger T, "Thermal Conductivity and Viscosity Data of Fluid Mixtures," DECHEMA, Frankfurt (1988)

[72] Taylor R, Krishna R, "Multicomponent Mass Transfer," Wiley, New York (1993)

[73] Vargaftik NB, "Handbook of Physical Properties of Liquids and Gases: Pure Substances and Mixtures," Hemisphere, Washignton (1983)

[74] Villat H, Kravtchenko J, "Lecons sur les Fluides Visqueux," Gauthier-Villars, Paris (1943)

[75] Vincenti WG, Kruger CH, "Introduction to Physical Gas Dynamics," Wiley, New York (1965)

[76] Waldmann L, "Transporterscheinungen in Gasen von mittlerem Druck," in "Handbuch der Physik," vol. 12, Springer, Berlin (1958)

[77] Wedgewood LE, Geurts KR, Rheol. Acta, 34(2), 196 (1995)

[78] Whitaker S, "Introduction to Fluid Mechanics," Prentice-Hall, Englewood Cliffs, NJ (1968)

[79] Whitaker S, "The Development of Fluid Mechanics in Chemical Engineering," in "One-Hundred Years of Chemical Engineering," ed. N.A. Peppas, Kluwer, Dordrecht, pp. 47 (1989)

[80] Yaws CL, "Handbook of Transport Property Data: Viscosity, Thermal Conductivity, and Diffusion Coefficients of Liquids and Gases, Gulf, Houston (1995)