Unsteady hydromagnetic Couette flow of dusty fluid with temperature dependent viscosity and thermal conductivity

International Journal of Non-Linear Mechanics

Volumn 43, Issue 8, 2008, Pages 707-715

  Attia, Hazem Ali ^a  

^a Fayoum University   (Egypt)

Author keywords

Couette flow; Mixture theory; Numerical solution; Two phase flow; Unsteady flow; Variable properties

Indexed keywords

CHANNEL FLOW; FINITE DIFFERENCE METHOD; HYDRODYNAMICS; MAGNETIC FIELD MEASUREMENT; MAGNETIC FIELDS; NUMERICAL ANALYSIS; PLATES (STRUCTURAL COMPONENTS); PRESSURE GRADIENT; THERMAL CONDUCTIVITY; THERMAL INSULATING MATERIALS; THERMOANALYSIS; THERMODYNAMIC PROPERTIES; THERMOELECTRICITY; VISCOSITY;

CONDUCTING FLUIDS; CONSTANT PRESSURE GRADIENT; COUETTE FLOW; COUETTE FLOWS; COUPLED MOMENTUM; DUST PARTICLES; DUSTY FLUIDS; ENERGY EQUATIONS; EXTERNAL-; FINITE DIFFERENCING; MIXTURE THEORY; NUMERICAL SOLUTION; PARALLEL PLATES; TEMPERATURE FIELDS; TEMPERATURE-DEPENDENT VISCOSITY; TWO PHASE FLOW; UNSTEADY COUETTE FLOW; UNSTEADY FLOW; VARIABLE PROPERTIES; VARIABLE VISCOSITY;

THERMAL CONDUCTIVITY OF LIQUIDS;

EID: 49749117948     PISSN: 00207462     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.ijnonlinmec.2008.03.007     Document Type: Article

References (37)

1. Saffman P.G. On the stability of a laminar flow of a dusty gas. J. Fluid Mech. 13 (1962) 120
2. Gupta R.K., and Gupta S.C. Flow of a dusty gas through a channel with arbitrary time varying pressure gradient. J. Appl. Math. Phys. 27 (1976) 119
3. Prasad V.R., and Ramacharyulu N.C.P. Unsteady flow of a dusty incompressible fluid between two parallel plates under an impulsive pressure gradient. Def. Sci. J. 30 (1979) 125
4. Dixit L.A. Unsteady flow of a dusty viscous fluid through rectangular ducts. Indian J. Theor. Phys. 28 2 (1980) 129
5. Ghosh A.K., and Mitra D.K. Flow of a dusty fluid through horizontal pipes. Rev. Roum. Phys. 29 631 (1984)
6. Singh K.K. Unsteady flow of a conducting dusty fluid through a rectangular channel with time dependent pressure gradient. Indian J. Pure Appl. Math. 8 9 (1976) 1124
7. Mitra P., and Bhattacharyya P. Unsteady hydromagnetic laminar flow of a conducting dusty fluid between two parallel plates started impulsively from rest. Acta Mech. 39 (1981) 171
8. Borkakotia K., and Bharali A. Hydromagnetic flow and heat transfer between two horizontal plates, the lower plate being a stretching sheet. Q. Appl. Math. (1983) 461
9. A.A. Megahed, A.L. Aboul-Hassan, H. Sharaf El-Din, Effect of Joule and viscous dissipation on temperature distributions through electrically conducting dusty fluid, in: Fifth Miami International Symposium on Multi-Phase Transport and Particulate Phenomena, Miami, Florida, USA, vol. 3, 1988, p. 111.
10. A.L. Aboul-Hassan, H. Sharaf El-Din, A.A. Megahed, Temperature distribution in a dusty conducting fluid flowing through two parallel infinite plates due to the motion of one of them, in: First International Conference of Engineering Mathematics and Physics, Cairo, 1991, pp. 723-734.
11. Herwig H., and Wicken G. The effect of variable properties on laminar boundary layer flow. Warme-und Stoffubertragung 20 (1986) 47-57
12. K. Klemp, H. Herwig, M. Selmann, Entrance flow in channel with temperature dependent viscosity including viscous dissipation effects, in: Proceedings of the Third International Congress of Fluid Mechanics, Cairo, Egypt, vol. 3, 1990, pp. 1257-1266.
13. Attia H.A., and Kotb N.A. MHD flow between two parallel plates with heat transfer. Acta Mech. 117 (1996) 215-220
14. Attia H.A. Transient MHD flow and heat transfer between two parallel plates with temperature dependent viscosity. Mech. Res. Commun. 26 1 (1999) 115-121
15. Massoudi M. Constitutive relations for the interactions force in multicomponent particulate flows. Int. J. Non-Linear Mech. 38 (2006) 313-336
16. Davidson J.F., Clift R., and Harrison D. Fluidization. second ed. (1985), Academic Press, Orlando
17. Gidaspow D. Multiphase Flow and Fluidization (1994), Academic Press, San Diego
18. Fan L.S., and Zhu C. Principles of Gas-Solid Flows (1998), Cambridge University Press, Cambridge
19. Marcus R.D., Leung L.S., Klinzing G.E., and Rizk F. Pneumatic Conveying of Solids (1990), Chapman & Hall, London
20. Govier G.W., and Aziz K. The Flow of Complex Mixtures in Pipes (1982), Krieger Publishing Company, Malabar, FL
21. Ungarish M. Hydrodynamics of Suspensions (1993), Springer, New York
22. Roco M.C. Particulate Two-Phase Flow (1993), Butterworth-Heiman, Boston
23. C. Truesdell, Sulle basi della thermomeccanica, Rand Lincei, Ser., 1957.
24. Sutton G.W., and Sherman A. Engineering Magnetohydrodynamics (1965), McGraw-Hill, New York
25. Atkin R.J., and Craine R.E. Continuum theories of mixtures: basic theory and historical development. Q. J. Mech. Appl. Math. 29 (1976) 290
26. Rajagopal K.R., and Tao L. Mechanics of Mixtures (1995), World Scientific, Singapore
27. Tao L., Humphrey J.D., and Rajagopal K.R. Int. J. Eng. Sci. 39 (2001) 1535-1556
28. Rajagopal K.R., and Tao L. ZAMP 53 (2002) 923-948
29. G. Johnson, M. Massoudi, K.R. Rajagopal, A review of interaction mechanisms in fluid-solid flows, DOE Report, DOE/PETC/TR-90/9, Pittsburgh, 1990.
30. Truesdell C. Rational Thermodynamics. second ed. (1984), Springer, New York
31. Woodside W., and Messmer J.H.J. Appl. Phys. 32 (1961) 1688
32. Botterill J.S.M., Salway A.G., and Teoman Y. Int. J. Heat Mass Transfer 32 (1989) 595
33. Kaviany M. Principles of Heat Transfer in Porous Media (1991), Springer, New York
34. Massoudi M. On the heat flux vector in mixtures. Int. Commun. Heat Mass Transfer 32 (2005) 1128-1134
35. Schlichting H. Boundary Layer Theory (1968), McGraw-Hill, New York
36. White M.F. Viscous Fluid Flow (1991), McGraw-Hill, New York
37. Ames W.F. Numerical Solutions of Partial Differential Equations. second ed. (1977), Academic Press, New York