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This paper presents a numerical study of a fully developed laminar flow of a non-Newtonian fluid in a helical pipe. An orthogonal helical coordinate system is utilized and the Navier-Stokes equations for the non-Newtonian fluid in this coordinate system are derived. The SIMPLE algorithm with a staggered grid is adopted to solve the governing equations. The effects of the pressure gradient, the curvature, and the torsion on the fully developed laminar flow in helical pipes are investigated. The comparison of flow dynamics between Newtonian and non-Newtonian fluids is presented.
Rocznik
Tom
Strony
21--37
Opis fizyczny
Bibliogr. 18 poz., rys., wykr.
Twórcy
autor
- Department of Mechanical and Aerospace Engineering, North Carolina State University Campus Box 7910, Raleigh, NC 27695-7910, USA
autor
- Department of Mechanical and Aerospace Engineering, North Carolina State University Campus Box 7910, Raleigh, NC 27695-7910, USA
Bibliografia
- [1] Bird R.B., Stewart W.E. and Lightfoot E.N. (2002): Transport Phenomena, 2nd ed. - New York: John Wiley and Sons.
- [2] Dean W.R. (1927): Note on the motion of fluid in a curved pipe. - Philosophical Magazine, vol.4, No.7, pp.208-223.
- [3] Germano M. (1982): On the effect of torsion on a helical pipe flow. - J. Fluid Mech., vo1.125, pp.I-8.
- [4] Germano M. (1989): The Dean equations extended to a helical pipe flow. - J. Fluid Mech., vo1.203, pp.289-305.
- [5] Huang H.C., Li Z.H. and Usmani A.S. (1999): Finite element analysis of non-Newtonian flow: theory and software. - New York: Springer-Verlag.
- [6] Huttl TJ. (1999): Direkte Numerische Simulation turbulenter Stromungen. in gekrummten und tordierten Rohren. - Doktorarbeit, Technische Universitat Munchen, Fortschritt-Berichte VDI, Reihe 7, Nr. 364, VDI- Verlag Dtisseldorf.
- [7] Huttl TJ. (2000): Influence of curvature and torsion on turbulent flow in curved and helicaliy coiled pipes. - lnt. J. Heat and Fluid Flow, vo1.21, pp.345-353.
- [8] Huttl TJ. (1997): Navier Stokes solutions of laminar flows based on orthogonal helical coordinates. - Numerical Methods in Laminar and Turbulent Flow, vol.l0, pp.191-202.
- [9] Liu S. and Masliyah J.H. (1993): Axially invariant laminar flow in helical pipes with a finite pitch. - J. Fluid Mech., vo1.251, pp.315-353.
- [10] Patankar S.V. (1980): Numerical Heat Transfer and Fluid Flow. - New York: Hemisphere.
- [11] Sandeep K.P. (1996): Computational and experimental studies on the fluid dynamics and heat transfer aspects in conventional and helical holding tubes for aseptic food processing. - PhD Thesis, Pennsylvania State University, State College, Pennsylvania.
- [12] Sandeep K.P., Zuritz e.A. and Puri V.M. (2000): Modeling non-Newtonian two-phase flow in conventional and helical- holding tubes. - Int. J. Food Science and Technology, vo1.35, pp.511-522.
- [13] Synge J.L. and Schild A. (1949): Tensor Calculus. - Toronto: University of Toronto Press.
- [14] Tao W. (1988): Numerical Heat Transfer. - Xi'an: Xi'an Jiaotong University Press.
- [15] Truesdell L.E. and Adler RJ. (1970): Numerical treatment of Jully developed laminar flow in helically coiled tubes. – Aiche Journal, vo1.l6, pp. 1010-1014.
- [16] Tuttle E.R. (1990): Laminar flow in twisted pipe. - J. Fluid Mech. vo1.219, pp.545-570.
- [17] Wang CY. (1981): On the low-Reynolds number flow in a helical pipe. - J. Fluid Mech., vol.l08, pp.285-194.
- [18] Yang G., Dong Z.F. and Ebadian M.A. (1995): Laminar forced convection in a helicoidal pipe with finite pitch. - Int. J. Heat Mass Transfer, vo1.38, No.5, pp.853-862.
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Bibliografia
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bwmeta1.element.baztech-article-BPZ2-0013-0040