Flow of a binary mixture of incompressible Newtonian fluids in a rectangular channel

International Journal of Engineering Science

Volumn 43, Issue 1-2, 2005, Pages 171-188

  Baris S ^a   Dokuz, M S ^b  

^a ISTANBUL UNIVERSITY   (Turkey)

^b ISTANBUL TECHNICAL UNIVERSITY   (Turkey)

Author keywords

[No Author keywords available]

Indexed keywords

BINARY MIXTURES; FOURIER TRANSFORMS; INCOMPRESSIBLE FLOW; PROBLEM SOLVING;

COUETTE FLOW; NEWTONIAN FLUIDS; RECTANGULAR CHANNEL; UNSTEADY FLOWS;

NEWTONIAN LIQUIDS;

EID: 27844436936     PISSN: 00207225     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.ijengsci.2004.08.011     Document Type: Article

References (30)

1. C. Truesdell, Sulle basi della thermomeccanica, Rend. Lincei 8 (22) (1957) 33-38, pp. 158-166.
2. R.M. Bowen, Theory of mixtures, in: A.C. Bringen (Ed.), Continuum Physics, vol. III, Academic Press, New York, 1976.
3. R.J. Atkin, R.E. Craine, Continuum theories of mixtures. Basic theory and historical development, Quart. J. Mech. Appl. Math. 29 (1976) 209-244.
4. R.J. Atkin, R.E. Craine, Continuum theories of mixtures: applications, J. Inst. Math. Appl. 17 (1976) 153-207.
5. A. Bedford, D.S. Drumheller, Theory of immiscible and structured mixtures, Int. J. Engng. Sci. 21 (1983) 863-960.
6. K.R. Rajagopal, L. Tao, Mechanics of Mixtures, World Scientific Publishing, 1995.
7. J.E. Adkins, Nonlinear diffusion, I. Diffusion and flow of mixtures of fluids, Phil. Trans. Roy. Soc. Lond. 255 (1963) 607-633.
8. A.E. Green, P.M. Naghdi, A dynamical theory of interacting continua, Int. J. Engng. Sci. 3 (1965) 231-241.
9. I. Müller, A thermodynamic theory of mixtures of fluids, Arch. Rat. Mech. Anal. 28 (1968) 1-39.
10. N. Dunwoody, I. Müller, A thermodynamic theory of two chemically reacting ideal gases with different temperatures, Arch. Rat. Mech. Anal. 29 (1968) 344-369.
11. A.C. Bringen, J.D. Ingram, A continuum theory of chemically reacting media-I, Int. J. Engng. Sci. 3 (1965) 197-212.
12. J.D. Ingram, A.C. Eringen, A continuum theory of chemically reacting media II. Constitutive equations of reacting fluid mixtures, Int. J. Engng. Sci. 4 (1967) 289-322.
13. N. Mills, Incompressible mixtures of Newtonian fluids, Int. J. Engng. Sci. 4 (1966) 97-112.
14. R.E. Craine, Oscillations of a plate in a binary mixture of incompressible Newtonian fluids, Int. J. Engng. Sci. 9 (1971) 1177-1192.
15. R.E. Craine, An oscillating plate in a binary mixture of hemihedral fluids, Z. angew. Math. Phys. (ZAMP) 24 (1973) 365-374.
16. C.E. Beevers, R.E. Craine, On the determination of response functions for a binary mixture of incompressible Newtonian fluids, Int. J. Engng. Sci. 20 (1982) 737-745.
17. M.S. Gögüş, The influence of a longitudinal vibrating pipe on Poiseuille flow of a binary mixture, Int. J. Engng. Sci. 30 (1992) 141-151.
18. M.Ş. Göǧüş, The steady flow of a binary mixture between two rotating parallel non-coaxial disks, Int. J. Engng. Sci. 30 (1992) 665-677.
19. M.Ş. Göǧüş, The steady flow of a binary mixture between two rotating parallel coaxial disks, Int. J. Engng. Sci. 33 (1995) 611-624.
20. D. Ieşan, A theory of mixtures of nonsimple fluids, Int. J. Engng. Sci. 32 (1994) 1423-1436.
21. S. Bariş, Some simple unsteady unidirectional flows of a binary mixture of incompressible Newtonian fluids, Int. J. Engng. Sci. 40 (2002) 2023-2040.
22. A. Al-Sharif, K. Chamniprasart, K.R. Rajagopal, A.Z. Szeri, Lubrication with binary mixtures: liquid-liquid emulsion, J. Tribol. 115 (1993) 46-55.
23. K. Chamniprasart, A. Al-Sharif, K.R. Rajagopal, A.Z. Szeri, Lubrication with binary mixtures: bubbly oil, J. Tribol. 115 (1993) 253-260.
24. S.H. Wang, A. Al-Sharif, K.R. Rajagopal, A.Z. Szeri, Lubrication with binary mixtures: liquid-liquid emulsion in an EHL conjunction, J. Tribol. 115 (1993) 515-522.
25. F. Dai, M.M. Khonsari, A theory of hydrodynamic lubrication involving the mixture of two fluid, J. Appl. Mech. 61 (1994) 634-641.
26. M. Massoudi, Constitutive relations for the interaction force in multicomponent particulate flows, Int. J. Non-Linear Mech. 38 (2003) 313-336.
27. G. Johnson, M. Massoudi, K.R. Rajagopal, Flow of a fluid-solid mixture between flat plates, Chem. Engng. Sci. 46 (1991) 1713-1723.
28. G. Johnson, M. Massoudi, K.R. Rajagopal, Flow of a fluid infused with solid particles through a pipe, Int. J. Engng. Sci. 29 (1991) 649-661.
29. L. Debnath, Integral Transforms and Their Applications, CRC Press, 1995.
30. R. Sampaio, W.O. Williams, On the viscosities of liquid mixtures, Z. Angew. Math. Phys. (ZAMP) 28 (1977) 607-613.