Unsteady flow between two eccentric rotating disks executing non-torsional oscillations

International Journal of Non-Linear Mechanics

Volumn 35, Issue 4, 2000, Pages 691-699

  Erdogan, M Emin ^a  

^a ISTANBUL TECHNICAL UNIVERSITY   (Turkey)

Author keywords

[No Author keywords available]

Indexed keywords

BOUNDARY CONDITIONS; LAPLACE TRANSFORMS; NAVIER STOKES EQUATIONS; OSCILLATIONS; UNSTEADY FLOW; VELOCITY;

ANGULAR VELOCITY; NON TORSIONAL OSCILLATIONS; TWO ECCENTRIC ROTATING DISKS;

ROTATING DISKS;

EID: 0034227507     PISSN: 00207462     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0020-7462(99)00051-7     Document Type: Article

References (30)

1. Rajagopal K.R. Flow of viscoelastic fluids between rotating disks. Theoret. Comput. Fluid Dynamics. 3:1992;185-206.
2. R. Berker, Intégration des équations du mouvement d'un fluide visqueux incompressible, Handbook of Fluid Dynamics, Vol. VIII/3, Springer, Berlin, 1963, p. 87.
3. Abbott T.N.G., Walters K. Rheometrical flow systems: Part 2. Theory for the orthogonal rheometer, including an exact solution of the Navier-Stokes equations. J. Fluid Mech. 40:1970;205-213.
4. Mohanty H.K. Hydromagnetic flow between two rotating disks with noncoincident parallel axes of rotation. Phys. Fluids. 15:1972;1456-1458.
5. Abbott T.N.G., Bowen G.W., Walters K. Some suggestions for new rheometer designs. I. Theory. J. Phys. D. 4:1971;190-203.
6. Coirier J. Rotations non-coaxiales d'un disque et d'un fluide à l'infini. J. Méc. 11:1972;317-340.
7. Erdogan M.E. Flow due to eccentric rotating a porous disk and a fluid at infinity. ASME J. Appl. Mech. 43:1976;203-204.
8. Erdogan M.E. Flow due to noncoaxially rotations of a porous disk and a fluid at infinity. Rev. Roum. Méc. Appl. 22:1977;171-178.
9. Erdogan M.E. Non-Newtonian flow due to noncoaxially rotations of a disk and a fluid at infinity. Z. Angew. Math. Mech. 56:1976;141-146.
10. Murthy S.N., Ram R.K.P. MHD flow and heat transfer due to eccentric rotations of a porous disk and a fluid at infinity. Int. J. Eng. Sci. 16:1978;943-949.
11. Rajagopal K.R. On the flow of a simple fluid in an orthogonal rheometer. Arch. Rational Mech. Anal. 79:1982;39-47.
12. Lingwood R.J. Absolute instability of the Ekman layer and related rotating flows. J. Fluid. Mech. 331:1997;405-428.
13. Rajagopal K.R. The Flow of a second order fluid between rotating parallel plates. J. Non-Newtonian Fluid Mech. 9:1981;185-190.
14. Berker R. A new solution of the Navier-Stokes equation for the motion of a fluid contained between two parallel plates rotating about the same axis. Arch. Mech. 31:1979;265-280.
15. Berker R. An exact solution of the Navier-Stokes equation: the vortex with curvilinear axis. Int. J. Eng. Sci. 20:1981;217-230.
16. Rajagopal K.R., Gupta A.S. Flow and stability of a second grade fluid between two parallel plates rotating about noncoincident axes. Int. J. Eng. Sci. 19:1981;1401-1409.
17. Rao A.R., Kasiviswanathan S.R. A class of exact solutions for the flow of a micropolar fluid. Int. J. Eng. Sci. 25:1987;443-453.
18. Rajagopal K.R. On an exact solution for the flow of an Oldroyd-B fluid. Bull. Tech. Univ. Inst. 49:1996;617-623.
19. H.V. Ersoy, MHD flow of an Oldroyd-B fluid between eccentric rotating disks, Int. J. Eng. Sci., in press.
20. Knight D.G. Flow between eccentric disks rotating at different speeds: inertia effects. ZAMP (J. Appl. Math. Phys.). 31:1980;309-317.
21. Lai C.Y., Rajagopal K.R., Szeri A.Z. Asymmetric flow between parallel rotating disks. J. Fluid Mech. 146:1984;203-225.
22. Parter S.V., Rajagopal K.R. Swirling flow between rotating plates. Arch. Rational Mech. Anal. 86:1984;305-315.
23. Rao A.R., Kasiviswanathan S.R. On exact solutions of the unsteady Navier-Stokes equations - The vortex with instantaneous curvilinear axis. Int. J. Eng. Sci. 25:1987;337-349.
24. Smith S.H. Eccentric rotating flows: exact unsteady solutions of the Navier-Stokes equations. ZAMP (J. Appl. Math. Phys.). 38:1987;573-579.
25. Kasiviswanathan S.R., Rao A.R. An unsteady flow due to eccentrically rotating porous disk and a fluid at infinity. Int. J. Eng. Sci. 25:1987;1419-1425.
26. Pop I. Unsteady flow due to noncoaxially rotating disk and a fluid at infinity. Bull. Tech. Univ. Inst. 32:1979;14-18.
27. Erdogan M.E. Unsteady viscous flow between eccentric rotating disks. Int. J. Non-Linear Mech. 30:1995;711-717.
28. Erdogan M.E. Unsteady flow of a viscous fluid due to non-coaxial rotations of a disk and a fluid at infinity. Int. J. Non-Linear Mech. 32:1997;285-290.
29. H.S. Carslaw, J.C. Jaeger, Conduction of Heat in Solids, Oxford University Press, Oxford, 1959.
30. M.E. Erdogan, A note on unsteady flow of a viscous fluid due to an oscillating plane wall, Int. J. Non-Linear Mech. 35 (2000) 1-6.