Inception of Turbulence in the Stokes Boundary Layer Over a Transpiring Wall

[+] Author and Article Information
Joseph Majdalani

Department of Mechanical and Industrial Engineering, Marquette University, Milwaukee, WI 53233

James Barron

Lockwood, Andrews & Newnam, Inc., Dallas, TX 75219

William K. Van Moorhem

Department of Mechanical Engineering, University of Utah, Salt Lake City, UT 84112

J. Fluids Eng 124(3), 678-684 (Aug 19, 2002) (7 pages) doi:10.1115/1.1490375 History: Received February 01, 2001; Revised February 21, 2002; Online August 19, 2002
Copyright © 2002 by ASME
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Majdalani,  J., and Van Moorhem,  W. K., 1998, “Improved Time-Dependent Flowfield Solution for Solid Rocket Motors,” AIAA J., 36(2), pp. 241–248.
Majdalani,  J., 1999, “The Boundary Layer Structure in Cylindrical Rocket Motors,” AIAA J., 37(4), pp. 505–508.
Vincent, G. E., 1957, “Contribution to the Study of Sediment Transport on a Horizontal Bed Due to Wave Action,” Proceedings of the Conference on Coastal Engineering, Vol. 16, pp. 326–335.
Collins,  J. I., 1963, “Inception of Turbulence at the Bed under Periodic Gravity Waves,” J. Geophys. Res., 68, pp. 6007–6014.
Sergeev,  S. I., 1966, “Fluid Oscillations in Pipes at Moderate Reynolds Numbers,” Fluid Dyn., 1, pp. 21–22.
Merkli,  P., and Thomann,  H., 1975, “Transition to Turbulence in Oscillating Pipe Flow,” J. Fluid Mech., 68, pp. 567–575.
Hino, M., and Sawamoto, M., 1975, “Linear Stability Analysis of an Oscillatory Flow between Parallel Plates,” Proceedings of the 7th Symposium on Turbulence, pp. 1–7.
Hino,  M., Sawamoto,  M., and Takasu,  S., 1976, “Experiments on Transition to Turbulence in an Oscillatory Pipe Flow,” J. Fluid Mech., 75, pp. 193–207.
Hino,  M., Kashiwayanagi,  M., Nakayama,  A., and Hara,  T., 1983, “Experiments on the Turbulence Statistics and the Structure of a Reciprocating Oscillatory Flow,” J. Fluid Mech., 131, pp. 193–207.
Hino,  M., Fukunishi,  Y., and Meng,  Y., 1990, “Experimental Study of a Three-Dimensional Large-Scale Structure in a Reciprocating Oscillatory Flow,” Fluid Dyn. Res., 6, pp. 261–275.
Ohmi,  M., Iguchi,  M., Kakehashi,  K., and Masuda,  T., 1982, “Transition to Turbulence and Velocity Distribution in an Oscillating Pipe Flow,” Bull. JSME, 25, pp. 365–371.
Akhavan-Alizadeh, R., 1987, “An Investigation of Transition and Turbulence in Oscillatory Stokes Layers,” Ph.D. dissertation, MIT.
Traineau, J. C., Hervat, P., and Kuentzmann, P., 1986, “Cold-Flow Simulation of a Two-Dimensional Nozzleless Solid-Rocket Motor,” AIAA 86–1447.
Ma,  Y., Van Moorhem,  W. K., and Shorthill,  R. W., 1990, “Innovative Method of Investigating the Role of Turbulence in the Velocity Coupling Phenomenon,” ASME J. Vibr. Acoust., 112(4), pp. 550–555.
Ma,  Y., Van Moorhem,  W. K., and Shorthill,  R. W., 1991, “Experimental Investigation of Velocity Coupling in Combustion Instability,” J. Propul. Power, 7(5), pp. 692–699.
Huesmann,  K., and Eckert,  E. R. G., 1990, “Studies of the Laminar Flow and the Transition to Turbulence in Porous Tubes with Uniform Injection through the Tube Wall,” J. Propul. Power, 6(6), pp. 690–705.
Dunlap,  R., Willoughby,  P. G., and Hermsen,  R. W., 1974, “Flowfield in the Combustion Chamber of a Solid Propellant Rocket Motor,” AIAA J., 12(10), pp. 1440–1445.
Dunlap, R., Sabnis, J. S., Beddini, R. A., Flandro, G. A., Brown, R. S., Gibeling, H. J., Blackner, A. M., Waugh, R. C., and McDonald, H., 1985, “Internal Flow Field Investigation,” U.S. Air Force Rocket Propulsion Laboratory No. TR-85-079.
Dunlap,  R., Blackner,  A. M., Waugh,  R. C., Brown,  R. S., and Willoughby,  P. G., 1990, “Internal Flow Field Studies in a Simulated Cylindrical Port Rocket Chamber,” J. Propul. Power, 6(6), pp. 690–704.
Barron,  J., Majdalani,  J., and Van Moorhem,  W. K., 2000, “A Novel Investigation of the Oscillatory Field over a Transpiring Surface,” J. Sov. Laser Res., 235(2), pp. 281–297.
Richardson,  E. G., 1928, “The Amplitude of Sound Waves in Resonators,” Proc. Phys. Soc., 40(27), pp. 206–220.
Davis,  S. H., 1976, “The Stability of Time-Periodic Flows,” Annu. Rev. Fluid Mech., 8, pp. 57–74.
von Kerczek,  C., and Davis,  S. H., 1974, “Linear Stability Theory of Oscillatory Stokes Layers,” J. Fluid Mech., 62(4), pp. 753–773.


Grahic Jump Location
Experimental apparatus. The inset shows a section view of the principal test chamber.
Grahic Jump Location
Flow measurement chamber
Grahic Jump Location
Power Spectral Density (PSD) of pressure data using (a) Scotch-yoke and (b) slider-crank mechanisms. By comparison, the Scotch yoke provides a purer signal containing less harmonics and noise interference.
Grahic Jump Location
Standard deviation σ versus acoustic Reynolds number ReA for experimental data (□) acquired over (a) hard walls, and (b) transpiring walls. Assuming a logarithmic power law (σ∼ReAb), linear least-squares indicate the presence of two regions. The first is characterized by b≅2.2 and is predominantly laminar (–). In the second region, b drops to approximately 1.1, ushering a turbulent flow behavior ([[dashed_line]]).
Grahic Jump Location
Using nontranspiring walls, velocity (–) and standard deviations ([[dashed_line]]) are shown for ReA=95 and 130. The two cases correspond to (a) laminar, and (b) distorted laminar flow regimes.
Grahic Jump Location
Using transpiring walls, velocity (–) and standard deviations ([[dashed_line]]) are shown for ReA=105, 145, 675 and 2200. The four cases correspond to (a) laminar, (b) distorted laminar, (c) weakly turbulent, and (d) conditionally turbulent regimes.
Grahic Jump Location
Flow visualization of the oscillatory Stokes layer over a transpiring surface. The close-ups illustrate the detailed structure of the fog layer in (a) laminar, (b) distorted laminar, and (c) weakly turbulent flow regimes.
Grahic Jump Location
Flow visualization of the four distinct phases preceding turbulence. Patterns indicate (a) laminar, (b) distorted laminar, (c) weakly turbulent, and (d) conditionally turbulent flow regimes.




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