Discussion of “Evaluation of Unsteady Wall Shear Stress by Zielke’s Method” by Alan E. Vardy and Jim M. B. Brown
Publication: Journal of Hydraulic Engineering
Volume 139, Issue 5
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Acknowledgments
The discussers want to thank Arris Tijsseling of the Technical University of Eindhoven for assistance in locating some of the literature cited in this discussion.
References
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Avula, X. J. R. (1969). “A combined method for determining velocity of starting flow in a long circular tube.” J. Phys. Soc. Jpn., 27(2), 497–502.
Ghidaoui, M. S., and Kolyshkin, A. A. (2002). “A quasi-steady approach to the instability of time-dependent flows in pipes.” J. Fluid Mech., 465, 301–330.
Gromeka, I. S. (1882). “On the theory of fluid motion in narrow cylindrical pipes.” Kazan University Research Notes, (in Russian), 32.
Logov, I. L. (1983). “Frictional resistance to accelerated flow in a tube.” Izvestiya Akasemii Nauk SSSR, Mekhanika Zhidoski i Gaza, 18(6), 978–983.
Schohl, G. A. (1993). “Improved approximation method for simulating frequency-dependent friction in transient laminar flow.” J. Fluids Eng., 115(3), 420–424.
Slezin, N. A. (1955). Dynamics of viscous incompressible fluids, Gostehizdat, Moscow (in Russian).
Szymanski, P. (1932). “Quelques solutions exactes des equations de I'hydrodynamique et du fluide visqueux dans le cas d'un tube cylindrique (Some exact solutions of the hydrodynamic equations of a viscous fluid in the case of a cylindrical tube).” J. Math. Pures Appl., 11, 67–107.
Trikha, A. K. (1975). “An efficient method for simulating frequency-dependent friction in transient liquid flow.” J. Fluids Eng., 97(1), 97–105.
Vardy, A. E., and Brown, J. N. B. (2010). “Influence of time-dependent viscosity on wall shear stresses in unsteady pipe flows.” J. Hydraul. Res., 48(2), 225–237.
Zhao, M., Ghidaoui, M. S., and Kolyshkin, A. A. (2007). “Perturbation dynamics in unsteady pipe flows.” J. Fluid Mech., 570, 129–156.
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Published In
Journal of Hydraulic Engineering
Volume 139 • Issue 5 • May 2013
Pages: 562 - 564
Copyright
© 2013 American Society of Civil Engineers.
History
Received: Feb 10, 2011
Accepted: May 10, 2011
Published online: Apr 15, 2013
Published in print: May 1, 2013
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