Singularity behavior of flow in a curved pipe

• Autorzy: Khan, M. A. H.
• Języki publikacji: EN

Abstrakty

EN

Singularity behavior of flow in a curved pipe is analyzed. A series related to a similarity parameter is obtained by using algebraic programming language MAPLE. The series is then analyzed by various generalizations of the approximate methods. The result is not conclusive, but we show approximately the dominating behavior of the flow near the (unphysical) singularity point.

Słowa kluczowe

PL

mechanika płynów

EN

approximate method; complex bifurcation

• Czasopismo: International Journal of Applied Mechanics and Engineering
• Rocznik: 2006
• Tom: Vol. 11, no 3
• Strony: 699-704
• Opis fizyczny: Bibliogr. 13 poz., rys., tab., wykr.

Twórcy

autor

Khan, M. A. H.

• Department of Mathematics Bangladesh University of Engineering & Technology Dhaka-1000, BANGLADESH,

Bibliografia

• Dean W.R. (1927): Note on the motion of fluid in a curved pipe. - Phil Mag., vol.7, pp.208-223.
• Dean W.R. (1928): The stream-line motion of fluid in a curved pipe. - Phil Mag., vol.7, pp.673-695.
• Drazin P.G. and Tourigny Y. (1996a): Numerical study of bifurcation by analytic continuation of a function defined by a power series. - SIAM J. Appl. Math., vol.56, pp.1-18.
• Drazin, P. G. and Tourigny, Y. (1996b), Extending the utility of perturbation series in problems of waves and stability. - Rend. Circ. Mat. Palermo, Series II, Suppl., vol.45, pp.L81-L84.
• Itö H. (1959): Friction factors for turbulent flow in curved pipes. - Trans. ASME: J. Basic Energy, vol.81, pp.123-134.
• Khan M.A.H. (2002): High order differential approximants. - J. Comp. and Appl. Math., vol.149, No.2, pp.457-468.
• Khan M.A.H., Tourigny Y. and Drazin P.G. (2003): A case study of methods of series summation: Kelvin-Helmholtz instability of finite amplitude. - J. of Comp. Phys., vol.187, pp.212-229.
• Larrain J. and Bonilla C. F. (1970): Theoretical analysis of pressure drop in the laminar flow of fluid in a coiled pipe. - Trans. Soc. Rheol., vol.14, pp.135-147.
• Mori Y. and Nakayama W. (1965): Study on forced convective heat transfer in curved pipes I: Laminar region. - Int. J. Heat Mass Transfer, vol.8, pp.67-82.
• Taylor G.I. (1929): The criterion for turbulence in curved pipes. - Proc. Roy. Soc. Lond. A, vol.124, pp.243-249.
• Topakoglu H.C. (1967): Steady laminar flows of an incompressible viscous fluid in curved pipes. - J. Math. Mech., vol.16, pp.1321-1337.
• Van Dyke M. (1978): Extended Stokes series: laminar flow through a loosely coiled pipe. - J. Fluid Mech., vol.86, pp.129-145.
• White C.M. (1929): Streamline flow through curved pipes. - Proc. Roy. Soc. Lond. A, vol.123, pp.645-663.