Abstract
Unsteady turbulent flows occur in a variety of engineering applications. Boundary layers on the surface of turbine blades, reciprocating engine cylinder flow, and most biological flows are but a few examples of turbulent flows in which the basic motion (mean flow) is harmonic time-dependent. A systematic investigation of the effect of unsteadiness in turbulent flows was first performed by Karlsson (1959). Experimental investigations were limited by the difficulties associated with analog processing of a velocity signal from such flows. Recently several investigators have examined the response of turbulent flows to imposed disturbances (Binder and Kueny, 1981; Binder et al., 1985; Brereton et al., 1990; Can, 1981; Cousteix, 1986; Cousteix et al., 1981; Mao and Hanratty, 1986; 1982; Ramaprian and Tu, 1983; Ronneberger and Ahrens, 1977; Shemer et al., 1985; and Tu and Ramaprian, 1983; among others.)
Chapter PDF
References
Adams, E.W. and Johnston, J.P., 1988, “Flow Structure in the Near-Wall Zone of a Turbulent Separated Flow,” AIAAJ., vol. 26, no. 8, pp. 932–939.
Ahuja, K.K., Lepicovsky, J., Tam, C.K.W., Morris, P.J., and Burrin, R.H., 1982, “Tone-Excited Jet: Theory and Experiment,” NASA CR-3538.
Ayad, S.S. and Mankbadi, R.R., 1991, “A Study of Wake-Generated Unsteadiness in a Channel Flow. Part I - The Mean Flow,” J. Eng. Fluid Mech., vol. 4, pp. 71–90.
Balakumar, P. and Widnall, S.E. 1986, “Application of Unsteady Aerodynamics to Large-Eddy Breakup Devices in Turbulent Flow.” Phys. Fluids, vol. 29, pp. 1779–1787.
Batchelor, G.K. and Proudman, I. 1954, “The Effect of Rapid Distortion of a Fluid in Turbulent Motion.” Q.J. Mech. Appl. Math., vol. 7, pp. 83–103.
Binder, G. and Kueny, J.L., 1981, “Measurements of the Periodic Velocity Oscillations Near the Wall in Unsteady Turbulent Channel Flow.” In Unsteady Turbulent Shear Flows, IUTAM Symp., Michel, R., Cousteix, J., and Houdeville, R., eds., Springer-Verlag, pp. 100–109.
Binder, G., Tardu, S., Blackwelder, R.F., and Kueny, J.L., 1985, “Large Amplitude Periodic Oscillations in the Wall Region of a Turbulent Channel Flow.” In 5th Symposium on Turbulent Shear Flows, Pennsylvania State University Press, pp. 16.1–16.8.
Brown, J.L., Kussoy, M.I., and Coakley, T.J., 1985, “Turbulent Properties of Axisymmetric Shock-Wave/Boundary-Layer Interaction Flows.” Proc. IUTAM Symp. Turbul. Shear-Layer/Shock-Wave Interactions, Palaiseau, pp. 21–23. (Abstr.)
Brown, G.L. and Roshko, A., 1974, “On Density Effects and Large-Scale Structure in Turbulent Mixing Layers,” J. Fluid Mech., vol. 64, pt. 4, pp. 775–816.
Carr, L.W., 1981, “A Review of Unsteady Boundary Layer Experiments.” In Unsteady Turbulent Shear Flows, IUTAM Symp., Michel, R., Cousteix, J., and Houdeville, R., eds., Springer-Verlag, pp. 3–35.
Cousteix, J., 1986, “Three-Dimensional and Unsteady Boundary-Layer Computations.” Ann. Rev. Fluid Mech., vol. 18, pp. 173–196.
Cousteix, J., Desopper, A., and Houdeville, R., 1977, “Structure and Development of a Turbulent Boundary Layer in an Oscillating External Flow,” Symposium on Turbulent Shear Flows, vol. 1, Springer-Verlag, New York, pp. 154–170.
Cousteix, J., Houdeville, R., and Javelle, J., 1981, “Response of a Turbulent Boundary Layer to a Pulsation of the External Flow With and Without Adverse Pressure Gradient,” Unsteady Turbulent Shear Flows, (R. Michael, J. Cousteix, and R. Houdeville, eds.), Springer-Verlag, pp. 120–144.
Crow, S.C. and Champagne, F.H., 1971, “Orderly Structure in Jet Turbulence,” J. Fluid Mech., vol. 48, pp. 547–591.
Doorly, D.J., Oldfield, M.L.G., and Scrivener, C.T.J., 1985, “Wake-Passing in a Turbine Rotor Cascade, ”Heat Transfer and Cooling in Gas Turbines, AGARD CP-390, AGARD, Neuilly-Sur-Seine, France, pp. 7–1 to 7–18.
Dring, R.P., Joslyn, H.D., Hardin, L.W., and Wagner, J.H., 1982, “Turbine Rotor-Stator Interaction,” J. Eng. Power, vol. 104, no. 4, pp. 729–742.
Elliott, C.J. and Townsend, A.A., 1981, “The Development of a Turbulent Wake in a Distorting Duct.” J. Fluid Mech. vol. 113, pp. 433–467.
El-Mehlawy, F.M. and Mankbadi, R.R., 1990a, “Transient Heat Transfer in Backward-Facing Step Flows,” AIAA Paper 90–0554.
El-Mehlawy, F.M. and Mankbadi, R.R., 1990b, “Heat Transfer in Oscillating Flows,” Nonsteady Fluid Dynamics, J.A. Miller and D.P. Telionis, eds., ASME, pp. 329–337.
Favre-Marinet, M., 1975, “Structure des jets pulsants,” Docteur-Ingenieur These, L’Universite Scientifique et Medicate de Grenoble.
Finnicum, D.S and Hanratty, T.J.,1987, “Effect of Favorable Pressure Gradients on Turbulent Boundary Layers,” Proc. Sixth Symp. Turbulent Shear Flows, Toulouse, France.
Gartshore, I.S., Durbin, P.A., and Hunt, J.C.C., 1983, “The Production of Turbulent Stress in a Shear Flow by Irrotational Fluctuations.” J. Fluid Mech., vol. 137, pp. 307–329.
Gatski, T.B. and Liu, J.T.C., 1980, “Interactions Between Large-Scale Structure and Fine-Grained Turbulence in a Free Shear Flow. Part III - A Numerical Solution,” Philos. Trans. Roy. Soc. London Ser A., vol. 293, pp. 473–509.
Goldstein, M.E., 1979, “Turbulence Generated by the Interaction of Entropy Fluctuations With Nonuniform Mean Flow.” J. Fluid Mech. vol. 93, pp. 209–224.
Goldstein, M.E., and Atassi, H., 1976, “A Complete Second-Order Theory for the Unsteady Flow About an Airfoil Due to a Periodic Gust.” J. Fluid Mech. vol. 74, pp. 741–765.
Hanjalic, K. and Stosic, N., 1983, “Hysteresis of Turbulent Stresses in Wall Flows Subjected to Periodic Disturbances.” In Turbulent Shear Flows, 4 (eds. L.J.S. Bradbury et al.), pp. 287–300, Springer.
Henderson, R.E., 1978, “The Unsteady Design of Axial-Flow Turbomachines,” Symposium on Design and Operation of Fluid Machinery, Colorado State University, Fort Collins, CO, vol. 2, pp. 91–108.
Ho, C.M. and Huang, L.S., 1982, “Subharmonics and Vortex Merging in Mixing Layers,” J. Fluid Mech., vol. 119, pp. 443–473.
Hodson, H.P., 1984, “Boundary Layer and Loss Measurements on the Rotor of an Axial-Flow Turbine,” J. Eng. Gas Turbines Power, vol. 106, no. 2, pp. 391–399.
Hunt, J.C.R., 1978, “A Review of the Theory of Rapidly Distorted Turbulent Flows and Its Applications.” In Fluid Dynam. Trans., vol. 9, pp. 121–152.
Hunt, J.C.R. and Carruthers, D.J.,1990, “Rapid Distortion Theory and the ‘Problems’ of Turbulence.” J. Fluid Mech. vol. 212, pp. 497–532.
Hunt, J.C.R. and Maxey, M.R., 1978, “Estimating Velocities and Shear Stresses in Turbulent Flows of Liquid Metals Driven by Low Frequency Electromagnetic Fields.” In MHD-Flows and Turbulence II, H. Branover, ed., Israel University Press, pp. 249–269.
Hussain, A.K.M.F. and Reynolds, W.C., 1970, “The Mechanics of an Organized Wave in Turbulent Shear Flow,” J. Fluid Mech., vol. 41, pt. 2, pp. 241–258.
Hussain, A.K.M.F. and Reynolds, W.C., 1975, “Measurements in Fully Developed Turbulent Channel Flow,” J. Fluids Eng., vol. 97, no. 4, pp. 568–580.
Hussain, A.K.M.F. and Zaman, K.B.M.Q., 1980, “Vortex Pairing in a Circular Jet Under Controlled Excitation. Part 2: Coherent Structure Dynamics,” J. Fluid Mech., vol. 101, pt. 3, pp. 493–544.
Jones, W.P. and Launder, B.E., 1972, “The Prediction of Laminarization With a Two-Equation Model of Turbulence,” Int. J. Hear Mass Trans., vol. 15, no. 2, pp. 301–314.
Karlsson, S.K.F., 1959, “An Unsteady Turbulent Boundary Layer.” J. Fluid Mech. vol. 5, pp. 622–636.
Kebede, W., Launder, B.E., and Younis, B.A., 1985, “Large-Amplitude Periodic Pipe Flow: A Second-Moment Closure Study,” Fifth Symposium on Turbulent Shear Flows, Pennsylvania State University, pp. 16.23–16.29.
Kerrebrock, J.L. and Mikolajczak, A.A., 1970, “Influence of Unsteadiness of the Flow on the Efficiency of Turbine Stages,” Teploenergetika, vol. 17, no. 10, pp. 21–23.
Kim, J., Kline, S.J., and Johnston, J.P., 1980, “Investigation of a Reattaching Turbulent Shear Layer: Flow Over a Backward-Facing Step,” J. Fluids Eng., vol. 102, no. 3, pp. 302–308.
Launder, B.E. and Spalding, D.B., 1974, “The Numerical Computation of Turbulent Flow,” Comput. Mech. Appl. Mech. Eng., vol. 3, pp. 269–289.
Mankbadi, R.R., 1985a, “On the Interaction Between Fundamental and Subharmonic Instability Waves in a Turbulent Round Jet,” J. Fluid Mech., vol. 160, pp. 385–419.
Mankbadi, R.R., 1985b, “The Mechanism of Mixing Enhancement and Suppression in a Circular Jet Under Excitation Conditions,” Phys. Fluids, vol. 28, no. 7, pp. 2062–2074.
Mankbadi, R.R., 1986, “The Effect of Phase-Difference on the Spreading Rate of a Jet,” AIAAJ, vol. 24, no. 12, pp. 1941–1948.
Mankbadi, R.R., 1988, “Fully Developed Pulsating Turbulent Flows,” AIAA paper 88–3673.
Mankbadi, R.R., 1989, “A Study of Unsteady Rotor-Stator Interactions,” J. Turbomachinery, vol. 111, no. 4, pp. 394–400.
Mankbadi, R.R., 1991, “Multifrequency Excited Jets,” Phys. Fluids A, vol. 3, no. 4, pp. 595–605.
Mankbadi, R.R. and Ayad, S.S., 1191, “A Study of Wake-Generated Unsteadiness in a Channel Flows. Part II. Turbulence and the Wall Shear Stress,” J. Eng. Fluid Mech., vol. 4, pp. 91–110.
Mankbadi, R.R. and Liu, J.T.C., 1981, “A Study of the Interactions Between Large-Scale Coherent Structures and Fine-Grained Turbulence in a Round Jet,” Philos. Trans. Roy. Soc. London Ser. A., vol. 298, pp. 541–602.
Mankbadi, R.R. and Liu, J.T.C., 1992, “Near-Wall Response in Turbulent Shear Flows Subjected to Imposed Unsteadiness,” J. Fluid Mech., vol. 238, pp. 55–71.
Mankbadi, R.R. and Mobark, A., 1989, “Quasi-Steady Modelling of Developing Periodic Turbulent Flows,” AIAA Paper 89–2555.
Mankbadi, R.R. and Mobark, A., 1991, “Quasi-Steady Turbulence Modelling of Unsteady Flows,” Int. J. Heat Fluid Flow, vol. 12, no. 2, pp. 122–129.
Mao, Z.X. and Hanratty, T.J., 1986, “Studies of the Wall Shear Stress in a Turbulent Pulsating Pipe Flow,”, J. Fluid Mech., vol. 170, pp. 545–564.
Mathieu, J., 1971, V.K.I. Lect. Ser., Vol. 36.
Maxey, M.R., 1982, “Distortion of Turbulence in Flows With Parallel Streamlines.” J. Fluid Mech. vol. 124, pp. 261–282.
Mizushina, T., Maruyama, T., and Hirasawa, H., 1975, “Structure of the Turbulence in Pulsating Pipe Flows,” J. Chem. Eng., Japan, vol. 8, no. 3, pp. 210–216.
Mizushina, T., Maruyama, T., and Shiozaki, Y., 1973, “Pulsating Turbulent Flow in a Tube,” J. Chem. Eng. Japan, vol. 6, pp. 287–294.
Moore, C.J., 1977, “The Role of Shear-Layer Instability Waves in Jet Exhaust Noise,” J. Fluid Mech., vol. 80, pt. 2, pp. 321–367.
Patel, V.C., Rodi, W., and Scheuerer, G., 1985, “Turbulence Models for Near-Wall and Low-Reynolds-Number Flows - A Review,” AIAAJ, vol. 23, pp. 1308–1319.
Rai, M.M., 1987, “Navier-Stokes Simulations of Rotor-Stator Interactions Using Patched and Overlaid Grids,” J. Propulsion Power, vol. 3, no. 5, pp. 387–396.
Ramaprian, B.R., Tu, S.W. and Menendez, A.N., 1983, “Periodic Turbulent Shear Flows.” In Turbulent Shear Flows, 4 (eds., L.J.S. Bradbury et. al.), pp. 301–310. Springer.
Ramaprian, B.R. and Tu, S.W., 1983, “Fully Developed Periodic Turbulent Pipe Flow: Part 2. The Detailed Structure of the Flow,” J. Fluid Mech., vol. 137, pp. 59–81.
Rodi, W. and Scheuerer, G., 1986, “Scrutinizing the k-e Model Under Adverse Pressure Gradient Conditions.” J. Fluids Eng., vol. 108, pp. 174–179.
Ronneberger, D. and Ahrens, C.D., 1977, “Wall Shear Stress Caused by Small Amplitude Perturbations of Turbulent Boundary-Layer Flow: An Experimental Investigation.” J. Fluid Mech., vol. 83, pp. 433–464.
Ronneberger, D., and Binder G., 1991, “Response of Wall Turbulence to Imposed Unsteadiness.” EUROMECH 272, Response of Shear Flows to Imposed Unsteadiness, Aussuis, France, January 14–17, 1991.
Roshko, A., 1976, “Structure of Turbulent Shear Flows: A New Look,” AIAAJ, vol. 14, no. 10, pp. 1349–1357.
Savill, A.M., 1987, “Recent Developments in Rapid-Distortion Theory.” Ann. Rev. Fluid Mech. vol. 19, pp. 531–570.
Schoenung, B., Mankbadi, R.R., and Rodi, W., 1989, “Computational Study of the Unsteady Flow Due to Wakes Passing Through a Channel,” in Turbulent Shear Flows, 6, pp. 255–268.
Seki, N., Fukusako, S., and Hirate, T., 1976a, “Effect of Stall Length on Heat Transfer in Reattached Region Behind a Double Step at Entrance to an Enlarged Flat Duct,” Int. J. Hear Mass Trans., vol. 19, no. 6, pp. 700–702.
Seki, N., Fukusako, S., and Hirate, T., 1976b, “Turbulent Fluctuations and Heat Transfer for Separated Flow Associated With a Double Step at the Entrance to an Enlarged Flat Duct,” J. Heat Transfer, vol. 98, no. 4, pp. 588–593.
Shemer, L., Wygnanski, I., and Kit, E., 1985, “Pulsating Flow in a Pipe,” J. Fluid Mech., vol. 153, pp. 313–337.
Silveira A, Grand, M., Metais, O., and Lesieur, M., 1991, “Large-Eddy Simulations of the Turbulent Flow in the Downstream Region of a Backward-Facing Step,” Phys. Rev. Letters„, vol. 66, number 18, pp. 2320–2323.
Silveira, A., Grand, M., Metais, O., and Lesieur, M., 1993, “A Numerical Investigation of the Coherent Structures of Turbulence Behind a Backward-Facing Step,” J. Fluid Mech., vol. 256, pp. 1–25.
Spalding, D.B., 1967, “Heat Transfer From Turbulent Separated Flows,” J. Fluid Mech., vol. 27, pt. 1, pp. 97–110.
Stretch, D. and Britter, R., 1985, “Thoughts, Calculations and Experiments on The Decay of Stratified Grid Turbulence.” Proc. IUTAM Symp. Mixing Stratified Fluids, Univ. W. Aust.
Tardu, S.F., Binder G., and Blackwelder, R.F., 1991, “Turbulent Channel Flow With Large Amplitude Velocity Oscillations.” Submitted to J. Fluid Mech.
Townsend, A.A., 1970, “Entrainment and The Structure of Turbulent Flow.” J. Fluid Mech. vol. 41, pp. 13–46.
Townsend, A.A., 1976, The Structure of Turbulent Shear Flow (2nd ed.), Cambridge Univ. Press, pp. 80–88 and 105–129.
Townsend, A.A., 1980, “The Response of Sheared Turbulence to Additional Distortion.” J. Fluid Mech., vol. 98, pp. 171–191.
Tu, S.W. and Ramaprian, B.R., 1983, “Fully Developed Periodic Turbulent Pipe Flow: Part 1. Main Experimental Results and Comparison With Predictions,” J. Fluid Mech., vol. 137, pp. 31–58.
Walker, G.J., 1974, “The Unsteady Nature of Boundary Layer Transition on an Axial-Flow Compressor Blade,” ASME Paper 74-GT-135, Mar.
Winant, C.D. and Browand, F.K., 1974, “Vortex Pairing: The Mechanism of Turbulent Mixing Layer Growth at Moderate Reynolds Number,” J. Fluid Mech., vol. 63, pt. 2, pp. 237–256.
Author information
Authors and Affiliations
Rights and permissions
Copyright information
© 1994 Springer Science+Business Media New York
About this chapter
Cite this chapter
Mankbadi, R.R. (1994). Unsteady, Wall-Bounded Turbulent Flows. In: Transition, Turbulence, and Noise. The Springer International Series in Engineering and Computer Science, vol 282. Springer, Boston, MA. https://doi.org/10.1007/978-1-4615-2744-2_7
Download citation
DOI: https://doi.org/10.1007/978-1-4615-2744-2_7
Publisher Name: Springer, Boston, MA
Print ISBN: 978-0-7923-9481-5
Online ISBN: 978-1-4615-2744-2
eBook Packages: Springer Book Archive