2-D and 3-D numerical modelling of a dynamic resonant shear stress sensor

Despite the importance of wall shear stress measurements in both fundamental and applied fluid dynamic problems, sensors for this application suffer from several shortcomings. A new class of wall shear stress sensor concept that addresses these shortcomings is studied numerically. The properties of a dynamic resonant shear stress sensor are determined using a specially-developed two-dimensional unsteady boundary layer code and a commercially available three-dimensional fluid model. Several characteristics of the sensors are determined using these models including: static sensitivities with and without pressure gradients, sensor design parameter effects. These results indicate that low amplitude, high resonant frequency operation associated with small sensors will have optimum performance. These results also suggest that a MEMS implementation of this sensor should provide the capability of measuring wall shear stress fluctuations in turbulent flows.

[1]  K. Breuer,et al.  Micromachined sensors for static and dynamic shear-stress measurements in aerodynamic flows , 1997, Proceedings of International Solid State Sensors and Actuators Conference (Transducers '97).

[2]  D. Telionis,et al.  Oscillating Laminar Boundary Layers and Unsteady Separation , 1974 .

[3]  M. Sheplak,et al.  Characterization of a Micromachined Thermal Shear Stress Sensor , 2001 .

[4]  Raimo J. Hakkinen,et al.  Reflections on Fifty Years of Skin Friction Measurement , 2004 .

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

[6]  Fan-Gang Tseng,et al.  Polymer MEMS-based Fabry-Perot shear stress sensor , 2003 .

[7]  Mark Sheplak,et al.  Dynamic calibration of a shear-stress sensor using Stokes-layer excitation , 2001 .

[8]  Mark Sheplak,et al.  Modern developments in shear-stress measurement ☆ , 2002 .

[9]  Louis N. Cattafesta,et al.  A Wafer-Bonded, Floating Element Shear-Stress Sensor Using a Geometric Moiré Optical Transduction Technique , 2004 .

[10]  Carlos Alberto Brebbia,et al.  Advances in fluid mechanics: proceedings of a conference held at Aachen, March 26-28, 1980 , 1981 .

[11]  Peter Bradshaw,et al.  Engineering Calculation Methods for Turbulent Flow , 1981 .

[12]  Louis N. Cattafesta,et al.  MEMS Shear Stress Sensors: Promise and Progress , 2004 .

[13]  T. Cebeci.  An Unsteady Laminar Boundary Layer with Separation and Reattachment , 1978 .

[14]  V. Modi,et al.  A microfabricated wall shear-stress sensor with capacitative sensing , 2005, Journal of microelectromechanical systems.

[15]  J. Naughton,et al.  Numerical Model of a Dynamic Resonant Wall Shear Stress Sensor , 2004 .

[16]  M. Plesniak,et al.  Wall Shear Stress Measurements for Conventional Applications and Biomedical Flows (invited) , 2004 .

[17]  Louis N. Cattafesta,et al.  Characterization of a Silicon-Micromachined Thermal Shear-Stress Sensor , 2002 .

[18]  Srinath V. Ekkad,et al.  Modeling and Computation of Boundary-Layer Flows , 1998 .

[19]  R. Howe,et al.  Design and calibration of a microfabricated floating-element shear-stress sensor , 1988 .

[21]  R. Pletcher,et al.  Computational Fluid Mechanics and Heat Transfer. By D. A ANDERSON, J. C. TANNEHILL and R. H. PLETCHER. Hemisphere, 1984. 599 pp. $39.95. , 1986, Journal of Fluid Mechanics.

[22]  Satish Dhawan,et al.  Direct measurements of skin friction , 1952 .

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

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

[25]  H. Keller,et al.  NUMERICAL METHODS IN BOUNDARY-LAYER THEORY , 1978 .

[26]  Dafydd Gibbon,et al.  1 User’s guide , 1998 .

[27]  Louis N. Cattafesta,et al.  A MICROMACHINED GEOMETRIC MOIRÉ INTERFEROMETRIC FLOATING-ELEMENT SHEAR STRESS SENSOR , 2004 .