Flow past a sphere moving towards a wall in micropolar fluid

• Autorzy: Kucaba-Piętal A.
• Języki publikacji: EN

Abstrakty

EN

The paper presents the first "exact" solution to the problem of creeping flow past a sphere mowing towards a wall in micropolar fluid. The analytical-numerical method is presented, that is a development of the boundary collocation technique previously used for solving many corresponding problems for a Newtonian fluid. The initial study of the method has been carried out and the results for a force acting on a sphere compared with their counterparts for a Newtonial fluid are presented. It is worth while to note that the drag force on a sphere depends on material constants of the micropolea fluid and the distance from the wall.

PL

Rozwiązane zostało zagadnienie wyznaczenia pola przepływu i działającej siły na cząstkę kulistą poruszającą się w kierunki ścianki w płynie mikropolarnym. Skonstruowano metodę analityczno-- --numeryczną w oparciu o metodę kolokacji. Rozpatrzono przepływ quasistacjonarny w przybliżeniu Stokesa.

Słowa kluczowe

EN

non-Newtonian fluid; collocation method; Stokes flow; micropolar fluid

• Wydawca: Polskie Towarzystwo Mechaniki Teoretycznej i Stosowanej
• Czasopismo: Journal of Theoretical and Applied Mechanics
• Rocznik: 1999
• Tom: nr 2
• Strony: 301--318
• Opis fizyczny: Bibliogr. 16 poz., wykr.

Twórcy

autor

Kucaba-Piętal A.

• Department of Fluid Mechanics and Aerodynamics, Rzeszów University of Technology

Bibliografia

• 1. ARMINSKI L., WEINBAUM S., PFEFFER R., 1980, Steric Hindrance Effects on the Time Dependent Diffusion of Plasmalemma Vesicles Across Vascular Endothelium, Biorheology, 17, 5-6, 431-467.
• 2. ERINGEN A.C., 1966, Theory of Micropolar Fluids, Journal of Mathematics and Mechanics, 16, 1, 1-18.
• 3. GANATOS P., WEINBAUM S., PFEFFER R., 1980, A Strong Interaction Theory for the Creeping Motion of a Sphere Between Plane Parallel Boundaries, J. Fluid Mech., 99, 739-753.
• 4. HAPPEL H., BRENNER R., 1985, Low Reynolds Number Flow, Prientice Hall.
• 5. KIM S., KARILLA S., 1991, Microhydrodynamics, Butterworth.
• 6. KAMKE E., 1976, Differential gleichungen L sungsmethoden and L sungen, Russian edition, Moskwa, Nauka.
• 7. KOŁODZIEJ J.A., 1987, Review of Application of Boundary Collocation Methods in Mechanics of Continuous Media, SM Archives, 12, 4, 187-231.
• 8. KUCABA-PIĘTAL A., 1997, Resistance Coefficient of a Particle Moving in the Presence of a Deformed Wall, J. Theor. Appl. Mech., 4, 813-828.
• 9. KUCABA-PIĘTAL A., 1999, Low Reynolds Number Flow of Micropolar Fluid Between Converging Spheres, Int. J. Engng. Sei., in press.
• 10. LORENTZ H.A., 1896, A General Theorem Concerning the Motion of a Viscous Fluid and a Few Consequences Derived from it, Verl. Kon. Acad. Wet. Amst., 5.
• 11. ŁUKASZEWICZ G., 1998, Micropolar Fluids. Theory and Application, Birkhoeser, Berlin.
• 12. MlGOUN N.P., 1984, On Hydrodynamic Boundary Conditions for Microstructural Fluids, Rheologica Acta, 23, 6, 575-581.
• 13. PETROSYAN L.G., 1984, Some Problems of Mechanics of Fluids with Antisymmetric Stress Tensor, Erevan, (in Russian).
• 14. PROHORENKO P.P., MIGOUN N.P., 1988, Hydrodynamics and Heat Transfer of Gradient Flows of Micropolar Fluids, Minsk, (in Russian).
• 15. RAMKISEOON H., MAJUMDAR S.R., 1976, Drag on an Axial Symmetric Body in Stokes Flow of Micropolar Fluid, Physics of Fluids, 19, 1, 16-26.
• 16. WEINBAUM S., CARO C.J., 1976, A Macromolecule Transport Model for the Arterial Wall, Fluid Mech., 74, 611-623.