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Transition of Oscillatory Flow in Tubes: An Empirical Model for Application to Stirling Engines
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Abstract
An empirical model for transition to turbulence in oscillatory flows in straight tubes is proposed. The model, fashioned after a correlation for transition of a boundary layer on a flat plate, yields the laminar flow momentum thickness Reynolds number that must be met before transition to turbulence will occur. The transition point is located by comparing this to the actual momentum thickness Reynolds number. Since in one-dimensional computation, as is typically employed in engine simulation codes, the momentum thickness Reynolds number cannot be computed, a scheme is proposed for estimating it in terms of the position within the cycle, the maximum value of the diameter Reynolds number within the cycle, Remax, and the dimensionless frequency, Valensi number, Va. Another parameter required in the calculation of the point of transition is the turbulence intensity value within the core flow and external to the boundary layer. A means of evaluating this quantity, given the distance from the entrance end of the tube, the angular position within the cycle, and the two cycle parameters, Remax and Va, is proposed.
Results from an experimental study of oscillatory flow in a tube are employed to develop the model. When the flow is determined to be turbulent, it is proposed that a fully-developed, steady flow friction coefficient be applied. When the flow is laminar, the assumption of fully-developed flow cannot be made; thus, a method is suggested for estimating the friction factor. This method is parameterized on Remax and Va.
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Simon, T., Ibrahim, M., Kannapareddy, M., Johnson, T. et al., "Transition of Oscillatory Flow in Tubes: An Empirical Model for Application to Stirling Engines," SAE Technical Paper 929463, 1992, https://doi.org/10.4271/929463.Also In
References
- Blair, M. F. 1982 Influence for Free-stream Turbulence on Boundary Layer Transition in Favorable Pressure Gradients J. of Engr. for Power 104 743 750
- Gedeon, D. 1990 GLIMPS, Version 3.0, User's Manual Gedeon Associates 16922 South Canaan Road, Athens, OH 45701
- Grassmann, P. Tuma, M. 1979 12 203 209
- Iguchi, M. Ohmi, M. Maegawa, K. 1982 Analysis of Free Oscillating Flow in a U-shaped Tube Nihon Kikaigakkai (Bulletin of the JSME) 25 207 1398 1405 September
- Mayle, R.E. 1991 The Role of Laminar-Turbulent Transition in Gas Turbine Engines ASME Paper 91-GT-261, Presented at the International Gas Turbine and Aeroengine Congress and Exposition Orlando, FL June 1991
- Nakayama, Y. Woods, W. A. Clark, D. G. Visualized Flow Pergamon Press 1988
- Ohmi, M. Iguchi, M. Urahata, I. 1982 Flow Patterns and Frictional Losses in an Oscillating Pipe Flow Nihon Kikaigakkai (Bulletin of the JSME) 25 202 536 543 April
- Park, J. Baird, M. 1970 Transition Phenomena in an Oscillating Manometer Canadian Journal of Chemical Engineering 48 491 495
- Patankar, S. V. Koehler, W. J. Ibele, W. E. 1990 Numerical Prediction of Turbulent Oscillating Flow in a Circular Pipe Proceedings of the 25th Intersociety Energy Conversion Engineering Conference 398 406 New York American Institute of Chemical Engineers
- Sergeev, S. 1966 Fluid Oscillations at Moderate Reynolds Numbers Fluid Dynamics 1 1 121 122
- Seume, J.R. Simon, T.W. 1986 Oscillating Flow in Stirling Engine Heat Exchangers Proceedings of the 21st Intersociety Energy Conversion Engineering Conference 533 538 Washington American Chemical Society
- Seume, J.R. Simon, T.W. 1987 Flow Oscillation Effects in Tubes and Porous Material: Unresolved Issues Morel, T.E. Dudenhoefer, J.E. Uzkan, T. Singh P.J. Fluid Flow and Heat Transfer in Reciprocating Machinery Proceedings, ASME Winter Annual Meeting Boston, MA December 1987 62 93 55 62 New York American Society of Mechanical Engineers
- Seume, J.R. Simon, T.W. 1988 Effect of Transition on Oscillating Flow Losses in Stirling Engine Coolers and Heaters Proceedings of the 23rd Intersociety Energy Conversion Engineering Conference 127 132 New York American Society of Mechanical Engineers
- Seume, J. Friedman, G. Simon, T. W. 1992 Fluid Mechanics Experiments in Oscillatory Flow Cleveland Lewis Research Center
- Simon, T.W. Seume, J.R. 1988 A Survey of Oscillating Flow in Stirling Engine Heat Exchangers Cleveland Lewis Research Center
- Uchida, S. 1956 7 403 422
- Volino, R. J. Simon, T. W. 1991 Bypass Transition in Boundary Layers including Curvature and Favorable Pressure Gradient Effects Cleveland Lewis Research Center
- Von Kerczek, C. Davis, S. H. 1972 The Stability of Oscillatory Stokes Layers Studies in Applied Mathematics LI 3