Experimental studies of zero pressure-gradient turbulent boundary layer flow

This thesis deals with the problem of high Reynolds number zero pressuregradient turbulent boundary layers in an incompressible flow without any effects of heat-transfer. The zero-pressure gradient turbulent boundary layer is one of the canonical shear flows important in many applications and of large theoretical interest. The investigation was carried out through an experimental study in the MTL wind-tunnel at KTH, where the fluctuating velocity components and the fluctuating wall-shear stress in a turbulent boundary layer were measured using hot-wire and hot-film anemometry. Attempts were made to answer some basic and “classical” questions concerning turbulent boundary boundary layers. The classical two layer theory was confirmed and constant values of the slope of the logarithmic overlap region (i.e. the von Karman constant) and the additive constants were found and estimated to κ = 0.38, B = 4.1 and B1 = 3.6 (δ = δ95). The inner limit of overlap region was found to scale on the viscous length scale (ν/uτ) and was estimated to be y = 200, i.e. considerably further out compared to previous knowledge. The outer limit of the overlap region was found to scale on the outer length scale and was estimated to be y/δ = 0.15. This also means that a universal overlap region only can exist for Reynolds numbers of at least Reθ ≈ 6000. The values of the newly determined limits explain the Reynolds number variation found in some earlier experiments. Measurements of the fluctuating wall-shear stress using the hot-wire-onthe-wall technique and a MEMS hot-film sensor show that the turbulence intensity τr.m.s./τw is close to 0.41 at Reθ ≈ 9800. A numerical and experimental investigation of the behavior of double wire probes were carried out and showed that the Peclet number based on wire separation should be larger than about 50 to ensure an acceptably low level of thermal interaction. Results are presented for two-point correlations between the wall-shear stress and the streamwise velocity component for separations in both the wallnormal-streamwise plane and the wall-normal-spanwise plane. Turbulence producing events are further investigated using conditional averaging of isolated shear-layer events. Comparisons are made with results from other experiments and numerical simulations. Descriptors: Fluid mechanics, turbulence, boundary layers, high Reynolds number, zero-pressure gradient, hot-wire, hot-film anemometry, oil-film interferometry, structures, streak spacing, micro-electro-mechanical-systems.

[1]  B. Lindgren,et al.  Measurement and calculation of guide vane performance in expanding bends for wind-tunnels , 1998 .

[2]  T. G. Johansson,et al.  LDV measurements of higher order moments of velocity fluctuations in a turbulent boundary layer , 1986 .

[3]  James M. Wallace,et al.  The wall region in turbulent shear flow , 1972, Journal of Fluid Mechanics.

[4]  R. Henkes,et al.  Direct Numerical Simulation of Self-Similar Turbulent Boundary Layers in Adverse Pressure Gradients , 1998 .

[5]  P. Alfredsson,et al.  Effects of imperfect spatial resolution on measurements of wall-bounded turbulentbx shear flows , 1983, Journal of Fluid Mechanics.

[6]  Thomas J. Bogar,et al.  Survey and new measurements of turbulent structure near the wall , 1977 .

[7]  P. Spalart Direct simulation of a turbulent boundary layer up to Rθ = 1410 , 1988, Journal of Fluid Mechanics.

[8]  W. Tollmien,et al.  Zur turbulenten Strömung in Rohren und längs Platten , 1961 .

[9]  Ron F. Blackwelder,et al.  On the wall structure of the turbulent boundary layer , 1976, Journal of Fluid Mechanics.

[10]  Arne V. Johansson,et al.  Time scales in turbulent channel flow , 1984 .

[11]  P. S. Klebanoff,et al.  Characteristics of turbulence in a boundary layer with zero pressure gradient , 1955 .

[12]  H. Kreplin,et al.  Propagation of perturbations in the viscous sublayer and adjacent wall region , 1979, Journal of Fluid Mechanics.

[13]  A. Smits,et al.  Log laws or power laws: The scaling in the overlap region , 1997 .

[14]  A. Johansson,et al.  Design of guide vanes for minimizing the pressure loss in sharp bends , 1991 .

[15]  Chih-Ming Ho,et al.  MICRO-ELECTRO-MECHANICAL-SYSTEMS (MEMS) AND FLUID FLOWS , 1998 .

[16]  E. Krause,et al.  Comparative measurements in the canonical boundary layer at Reδ2≤6×104 on the wall of the German–Dutch windtunnel , 1995 .

[17]  H. Eckelmann,et al.  On the Evolution of Shear-Layer Structures in Near-Wall Turbulence , 1987 .

[18]  Alexander J. Smits,et al.  A NEW MEAN VELOCITY SCALING FOR TURBULENT BOUNDARY LAYERS , 1998 .

[19]  F. Clauser Turbulent Boundary Layers in Adverse Pressure Gradients , 1954 .

[20]  Donald W. Smith,et al.  Skin-Friction Measurements in Incompressible Flow , 1958 .

[21]  Anders Lundbladh,et al.  Very large structures in plane turbulent Couette flow , 1996, Journal of Fluid Mechanics.

[22]  W. Tillmann,et al.  Investigations of the wall-shearing stress in turbulent boundary layers , 1950 .

[23]  John Kim,et al.  DIRECT NUMERICAL SIMULATION OF TURBULENT CHANNEL FLOWS UP TO RE=590 , 1999 .

[24]  C. R. Smith,et al.  The characteristics of low-speed streaks in the near-wall region of a turbulent boundary layer , 1983, Journal of Fluid Mechanics.

[25]  A. Smits,et al.  Mean-flow scaling of turbulent pipe flow , 1998, Journal of Fluid Mechanics.

[26]  P. Moin,et al.  Turbulence statistics in fully developed channel flow at low Reynolds number , 1987, Journal of Fluid Mechanics.

[27]  Ron F. Blackwelder,et al.  Large-scale motion in a turbulent boundary layer: a study using temperature contamination , 1978, Journal of Fluid Mechanics.

[28]  L. Tanner,et al.  A study of the motion of oil films on surfaces in air flow, with application to the measurement of skin friction , 1976 .

[29]  O. Thual Turbulence and Random Processes in Fluid Mechanics , 1988 .

[30]  F. Clauser The Turbulent Boundary Layer , 1956 .

[31]  Valdis Kibens,et al.  Large-scale motion in the intermittent region of a turbulent boundary layer , 1970, Journal of Fluid Mechanics.

[32]  O. Reynolds III. An experimental investigation of the circumstances which determine whether the motion of water shall be direct or sinuous, and of the law of resistance in parallel channels , 1883, Proceedings of the Royal Society of London.

[33]  G. I. Barenblatt,et al.  Scaling laws for fully developed turbulent shear flows. Part 1. Basic hypotheses and analysis , 1993, Journal of Fluid Mechanics.

[34]  A. Johansson,et al.  Dynamic Behavior of Hot-Wire Probes in Turbulent Boundary Layers , 1995 .

[35]  Peter Bradshaw,et al.  Spatial resolution and measurement of turbulence in the viscous sublayer using subminiature hot-wire probes , 1987 .

[36]  D. Coles,et al.  The Turbulent Boundary Layer in a Compressible Fluid , 1964 .

[37]  Hans G. Hornung,et al.  Two-directional skin friction measurement utilizing a compact internally mounted thin-liquid-film skin friction meter , 1993 .

[38]  Alexandre J. Chorin,et al.  Self-similar intermediate structures in turbulent boundary layers at large Reynolds numbers , 2000, Journal of Fluid Mechanics.

[39]  Effect of Reynolds Number on the Structure of Turbulent Boundary Layers , 1994 .

[40]  G. Comte-Bellot Hot-Wire Anemometry , 1976 .

[41]  D. Bechert Calibration of Preston tubes , 1996 .

[42]  H. H. Fernholz,et al.  New developments and applications of skin-friction measuring techniques , 1996 .

[43]  Arne V. Johansson,et al.  Evolution and dynamics of shear-layer structures in near-wall turbulence , 1991, Journal of Fluid Mechanics.

[44]  Helmut Eckelmann,et al.  Behavior of the three fluctuating velocity components in the wall region of a turbulent channel flow , 1979 .

[45]  Luciano Castillo,et al.  Zero-Pressure-Gradient Turbulent Boundary Layer , 1997 .

[46]  J. Rotta über die Theorie der turbulenten Grenzschichten , 1950 .

[47]  K. Winter An outline of the techniques available for the measurement of skin friction in turbulent boundary layers , 1979 .

[48]  W. Willmarth,et al.  Structure of the Reynolds stress near the wall , 1972, Journal of Fluid Mechanics.

[49]  A. Hussain,et al.  Coherent structures and turbulence , 1986, Journal of Fluid Mechanics.

[50]  A. K. Gupta,et al.  Spatial structure in the viscous sublayer , 1971, Journal of Fluid Mechanics.

[51]  Stephen J. Kline,et al.  The production of turbulence near a smooth wall in a turbulent boundary layer , 1971, Journal of Fluid Mechanics.

[52]  H. H. Fernholz,et al.  The effects of a favourable pressure gradient and of the Reynolds number on an incompressible axisymmetric turbulent boundary layer - Part 1. The turbulent boundary layer , 1998 .

[53]  O. Reynolds On the dynamical theory of incompressible viscous fluids and the determination of the criterion , 1995, Proceedings of the Royal Society of London. Series A: Mathematical and Physical Sciences.

[54]  Joseph H. Haritonidis,et al.  The Measurement of Wall Shear Stress , 1989 .

[55]  Chih-Ming Ho,et al.  A flexible MEMS technology and its first application to shear stress sensor skin , 1997, Proceedings IEEE The Tenth Annual International Workshop on Micro Electro Mechanical Systems. An Investigation of Micro Structures, Sensors, Actuators, Machines and Robots.

[56]  J. Spurk Boundary Layer Theory , 2019, Fluid Mechanics.

[57]  M. R. Head,et al.  New aspects of turbulent boundary-layer structure , 1981, Journal of Fluid Mechanics.

[58]  M. Hites,et al.  Scaling of high-Reynolds number turbulent boundary layers in the National Diagnostic Facility , 1997 .

[59]  G. I. Barenblatt,et al.  Scaling laws for fully developed turbulent shear flows. Part 2. Processing of experimental data , 1993, Journal of Fluid Mechanics.

[60]  M. Hites,et al.  Wall shear stress measurements in high Reynolds number boundary layers from two facilities , 1999 .

[61]  S. K. Robinson,et al.  Coherent Motions in the Turbulent Boundary Layer , 1991 .

[62]  Arne V. Johansson,et al.  On the generation of high-amplitude wall-pressure peaks in turbulent boundary layers and spots , 1987, Journal of Fluid Mechanics.

[63]  H. Eckelmann,et al.  The fluctuating wall‐shear stress and the velocity field in the viscous sublayer , 1988 .

[64]  R. Brodkey,et al.  A visual investigation of the wall region in turbulent flow , 1969, Journal of Fluid Mechanics.

[65]  Chih-Ming Ho,et al.  A surface-micromachined shear stress imager , 1996, Proceedings of Ninth International Workshop on Micro Electromechanical Systems.

[66]  D. Coles The law of the wake in the turbulent boundary layer , 1956, Journal of Fluid Mechanics.

[67]  V. C. Patel Calibration of the Preston tube and limitations on its use in pressure gradients , 1965, Journal of Fluid Mechanics.

[68]  Shinnosuke Obi,et al.  Experimental study on the statistics of wall shear stress in turbulent channel flows , 1996 .

[69]  Shu Wei,et al.  Bursting frequency in turbulent boundary layers , 1988 .

[70]  Vimal Singh,et al.  Perturbation methods , 1991 .

[71]  M. Hites,et al.  Flow quality documentation of the National Diagnostic Facility , 1994 .

[72]  W. C. Reynolds,et al.  Measurement of turbulent wall velocity gradients using cylindrical waves of laser light , 1991 .

[73]  Arne V. Johansson,et al.  On the structure of turbulent channel flow , 1982, Journal of Fluid Mechanics.

[74]  J. C. Rotta,et al.  Turbulent boundary layers in incompressible flow , 1962 .

[75]  J. H. Preston The Determination of Turbulent Skin Friction by Means of Pitot Tubes , 1954, The Journal of the Royal Aeronautical Society.

[76]  Roddam Narasimha,et al.  The ‘bursting’ phenomenon in a turbulent boundary layer , 1971, Journal of Fluid Mechanics.

[77]  D. J. Monson A nonintrusive laser interferometer method for measurement of skin friction , 1982 .

[78]  Aravind Padmanabhan,et al.  Silicon micromachined sensors and sensor arrays for shear-stress measurements in aerodynamic flows , 1996 .

[79]  H. H. Fernholz,et al.  The incompressible zero-pressure-gradient turbulent boundary layer: An assessment of the data , 1996 .