The squeezing flow problem of Herschel-Bulkley fluids in a closing a wedge

• Autorzy: Al Khatib M. A.
• Języki publikacji: EN

Abstrakty

EN

The non-steady squeezing flow of a Herschel-Bulkley fluid in a two-dimensional wedge is investigated. The problem is reduced to a nonlinear two-point boundary-value problem. An exact similarity solution is obtained without any geometrical approximation. The velocity and stress fields are calculated for Herschel-Bulkley fluids and for power-law and Bingham fluids as special cases. The location of the yielded and unyielded regions is determined. The results for the power-law fluids are compared with the approximate analytical solution obtained by Chen [15].

Słowa kluczowe

EN

squeezing wedge flow; Herschel-Bulkley fluid; two-point boundary-value problem

PL

płyn Herschela-Bulkley'a; zagadnienie brzegowe dwupunktowe

• Wydawca: Instytut Podstawowych Problemów Techniki PAN
• Czasopismo: Journal of Technical Physics
• Rocznik: 2006
• Tom: Vol. 47, no 4
• Strony: 205--219
• Opis fizyczny: Bibliogr. 16 poz., wykr.

Twórcy

autor

Al Khatib M. A.

• HBCC, King Fahd University of Petrolum & Minerals, P.O. Box 5087, Dhahran, Saudi Arabia,

Bibliografia

• 1. W.H. HERSCHEL, R. BULKLEY, Konsistenzmessungen von Gummi-Benzol-Lösungen, Kolloid-Z. 39, 291-300, 1926.
• 2. M. BERCOVIER, M. ENGELMAN, A finite element method for incompressible non-Newtonian flows, J. Comput. Phys., 36, 313-326, 1980.
• 3. E.J. O’DONOVAN, R.I. TANNER, Numerical study of the Bingham squeeze film problem, 3. Non-Newtonian Fluid Mech., 15, 75-83, 1984.
• 4. T.C. PAPANASTASIOU, Flows of materials with yield, J. Rheol., 31, 4, 385-404, 1987.
• 5. K.R.J. ELWOOD, G.C. GEORGIOU, T.C. PAPANASTASIOU, J.O. WILKES, Laminar jets of Bingham-plastic liquids, J. Rheol., 34, 787-811, 1990.
• 6. E. MITSOULIS, S. S. ABDALI, Flow simulation of Herschel-Bulkley fluids through extrusion dies, Can. J. Chem. Eng., 71, 147-160, 1993.
• 7. J. BLACKERY, E. MITSOULIS, Creeping motion of a sphere in tubes filled with a Bingham plastic material, J. Non-Newtonian Fluid Mech., 70, 59-77, 1997.
• 8. M. BEAULNE, E. MITSOULIS, Creeping motion of a sphere in tubes filled with Herschel-Bulkley fluids, J. Non-Newtonian Fluid Mech., 72, 55-71, 1997.
• 9. G.R. BURGOS, A.N. ALEXANDROU, Flow of Herschel-Bulkley fluids through a sudden 3-D expansion, [in:j Proceedings of the 1998 ASME Fluids Engineering Division Summer Meeting, ASME Washington, DC, 21-25 June 1998.
• 10. R.V. CRASTER, Yield surfaces for Herschel-Bulkley flows in complex geometries, IMA J. Appl. Math., 56, 253-276, 1996.
• 11. G.R. BURGOS, A.N. ALEXANDROU, V. ENTOV, On the determination of yield surfaces in Herschel-Bulkley fluids, J. Rheol., 43, 3, 463-483, 1999.
• 12. N. PHAN-THIEN, Squeezing a viscoelastic liquid from a wedge: an exact solution, J. Non-Newtonian Fluid Mechanics, 329-345, 1984.
• 13. N. PHAN-THIEN, R. ZHENG, On the continuous squeezing flow in a wedge, Rheol. Acta, 30, 491-497, 1991.
• 14. X.D. CHEN, Slip and no-slip squeezing flow of liquid food in a wedge, Rheol. Acta, 32, 477-48, 1991.
• 15. S.D.R. WILSON, Squeezing flow of a yield-stress fluid in a wedge of slowly-varying angle, J. Non-Newtonian Fluid Mechanics 50, 45-63, 1993.
• 16. F.A. SAITA, L.E. SCRIVEN, Coating flow analysis and the physics of flexible blade coating, Coating Conference, TAPPI, Atlanta, GA, 13-21, 1985.