BAIL 2006 Book of Abstracts - Institut für Numerische und ...

K. MANSOUR: Boundary Layer Solution For laminar flow through a Loosely curved
Pipe by Using Stokes Expansion
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this paper we have shown that what proposed by [20] as the cause of the discrepancy lies in the
use of the only first 12 terms for corresponding curved problem is not correct. In this work we
increase number of terms from 12 in [1] to 20 and still the major conclusion of the discrepancy
between the solution obtained using the extended stoke series method and that obtained using
other method persist as it was the case for the rotating pipe[26].
REFERENCES
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[19] Van Dyke, M. 1989 some paradoxes in viscous flow theory. “Some unanswered question in fluid
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[20] S. Jayanti & G.F. Hewitt. "On the paradox concerning friction factor ratio in laminar flow in coils",
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[21] Mansour, K. 1993 Using Stokes Expansion For Natural Convection inside a two-dimensional cavity.
Fluid Dynamics Research, 1-33
[22 ] Dennis,S.C.R. and Riley,N. 1993 ”On the fully developed flow in a curved pipe
at large Dean number” Proc. Roy. Soc. A.434, 473-478
[23] Ishigaki, H. "Analogy between laminar flows in curved pipes and orthogonal rotating pipes". J. Fluid
Mech. (1994), vol.268, pp. 133-145
[24] Dean, W.R. 1927 Note on the motion of fluid in a curved pipe. Phil.Mag. (7) 4,208-223
[25] Taylor, G.I. 1929 The criterion for turbulence in curved piped. Proc. R. Soc. Lond. A 124, 243-249.
[26] Mansour, K. 2002 Boundary layer solution using Stokes expansion for Laminar flow through a slow-
rotating pipe, Proceedings of BAIL 2002 ,An international conference on boundary and interior layers
computational & Asymptotic methods, Perth, Western Australia.
Speaker: MANSOUR, K. 114 BAIL 2006
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