Computation of Energy Dissipation in Transient Flow
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Volume 123, Issue 2
Abstract
A new model for the computation of unsteady friction losses in transient flow is developed and verified in this study. The energy dissipation in transient flow is estimated from the instantaneous velocity profiles. The ratio of the energy dissipation at any instant and the energy dissipation obtained by assuming quasi-steady conditions defines the energy dissipation factor. This is a nondimensional, time-varying parameter that modifies the friction term in the transient flow governing equations. The model was verified for laminar and turbulent flows and the comparison of measured and computed pressure heads shows excellent agreement. This model can be adapted to an existing transient program that uses the well-known method of characteristics for the solution of the continuity and momentum equations.
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References
1.
Antonia, R. A., Bisset, D. K., and Kim, J.(1991). “An eddy viscosity calculation method for a turbulent duct flow.”J. Fluids Engrg., 113, 616–619.
2.
Brown, F. T., Margolis, L. D., and Shah, R. P.(1969). “Small amplitude frequency behaviour of fluid lines with turbulent flow.”J. Basic Engrg., 91(12), 678–693.
3.
Cebeci, T., and Smith, A. M. (1974). Analysis of turbulent boundary layers. Academic Press, Inc., New York, N.Y.
4.
Chaudhry, M. H. (1987). Applied Hydraulic Transients, 2nd Ed., Van Nostrand Reinhold, New York, N.Y.
5.
Eichinger, P., and Lein, G. (1992). “The influence of friction on unsteady pipe flow.”Proc., Int. Conf. on Unsteady Flow and Fluid Transients, Bettess and Watts, eds., A. A. Balkema, Rotterdam, The Netherlands, 41–50.
6.
Granville, P. S.(1990). “A near-wall eddy viscosity formula for turbulent boundary layers in pressure gradients suitable for momentum, head or mass transfer.”J. Fluids Engrg., 112, 240–243.
7.
Granville, P. S.(1989). “A modified Van Driest formula for the mixing length of turbulent boundary layers in pressure gradients.”J. Fluids Engrg., 111, 94–97.
8.
Holmboe, E. L., and Roleau, W. T.(1967). “The effect of viscous shear on transients in liquid lines.”J. Basic Engrg., 89, 174–180.
9.
Katsumasa, S., Takayuki, T., and Sanroku, S.(1991). “Improving Zielke's method of simulating frequency-dependent friction in laminar liquid pipe flow.”J. Fluids Engrg., 113, 569–573.
10.
Kita, Y., Adachi, Y., and Hirose, K.(1980). “Periodically oscillating turbulent flow in a pipe.”Bull. JSME, 23(179), 656–664.
11.
MacCormack, R. (1971). “Numerical solution of the interaction of a shock wave with a laminar boundary layer.”Lecture notes in physics, M. Holt, ed., Springler-Verlag, New York, N.Y., 8.
12.
Mitra, A. Q., and Roleau, W. J.(1985). “Radial and axial variations in transient pressure waves transmitted through liquid transmission lines.”J. Fluids Engrg., 107, 105–111.
13.
Shohl, G. A.(1993). “Improved approximate method for simulating frequency-dependent friction in transient laminar flow.”J. Fluids Engrg., 115, 420–424.
14.
Silva-Araya, W. F. (1993). “Energy dissipation in transient flow,” PhD thesis, Washington State Univ., Pullman, Wash.
15.
Suo, L., and Wylie, E. B.(1989). “Impulse response method for frequency dependent pipeline transients.”J. Fluids Engrg., 111, 478–483.
16.
Trikha, A. K.(1975). “An efficient method for simulating frequency dependent friction in transient liquid flow.”J. Fluids Engrg., 97, 97–105.
17.
Vardy, A. E., and Hwang, K.(1991). “A characteristics model of transient friction.”J. Hydr. Res., 29(5), 669–684.
18.
Vardy, A. E., Brown, J., and Hwang, K.(1993). “A weighting function model of transient turbulent pipe friction.”J. Hydr. Res., 31(4), 533–548.
19.
White, F. M. (1991). Viscous fluid flow, 2nd Ed., McGraw-Hill Book Co., Inc., New York, N.Y.
20.
Wood, D. J., and Funk, J. E.(1970). “A boundary layer theory for transient viscous losses in turbulent flow.”J. Basic Engrg., 92(4), 865–873.
21.
Wylie, E. B., and Streeter, V. (1993). Fluid transients in systems. Prentice-Hall, Inc., Englewood Cliffs, N.J.
22.
Zielke, W.(1968). “Frequency dependent friction in transient pipe flow.”J. Basic Engrg., 90, 109–115.
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Published In
Journal of Hydraulic Engineering
Volume 123 • Issue 2 • February 1997
Pages: 108 - 115
Copyright
Copyright © 1997 American Society of Civil Engineers.
History
Published online: Feb 1, 1997
Published in print: Feb 1997
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