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Measurement of the velocity gradient with hot-film probes

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Abstract

Hot-film measurements of the velocity gradient have been carried out in both laminar pipe and laminar plane Couette flow and have been compared with calculated values. The objective of this work was to determine the applicability of probes with two parallel sensors for gradient measurements. The investigation was done in the range 5 ≦ Re pr ≦ 365, with the Reynolds number Re pr based on the probe diameter and the local flow velocity. It was found that for Re pr > 10, measurements of the gradient result in values which are systematically too small. A curve enabling correction of measurement results is given.

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References

  • Adrian, R. J.; Johnson, R. E.; Jones, B. G.; Merati, P.; Tung, A. T. 1984: Aerodynamic disturbances of hot-wire probes and directional sensitivity. J. Phys. E Sci. Instrum. 17, 62–71

    Google Scholar 

  • Böttcher, J. 1982: Die Messung der Geschwindigkeitsgradienten mit Heißfilmsonden. MPI f. Strömungsforschung, Göttingen, Bericht 107/1982

  • Böttcher, J.; Marschall, E.; Johnson, G. 1985: Investigation of the flowfield immediately upstream of a hot film probe. (To be published)

  • Eckelmann, H. 1974: The structure of the viscous sublayer and the adjacent wall region in a turbulent channel flow. J. Fluid Mech. 65, 439–459

    Google Scholar 

  • Fage, A.; Falkner, V. M. 1931: Relation between heat transfer and surface friction for laminar flow. Aero Res. Counc. London, Rep. & Mem., Nr. 1408 London 1931

  • Kovasznay, L. S. G. 1954: Physical measurements in gas dynamics and combustion, p. 227, Princeton: University Press

    Google Scholar 

  • Ludwieg, H. 1950: Instrument for measuring the wall shear stress in turbulent boundary layers. NACATM 1285

  • Merati, P.; Adrian, R. J. 1984: Directional sensitivity of single and multiple sensor probes. TSI Quart. X(2), 3–12

    Google Scholar 

  • Preston, J. H. 1954: The determination of turbulent skin friction by means of pitot tubes. J. Roy. Aero. Soc. 58, 109–121

    Google Scholar 

  • Reichardt, H. 1959: Gesetzmäßigkeiten der gradlinigen turbulenten Couetteströmung. Mitt. f Strömungsforschung, and der Aerodyn. Versuchsanstalt, Göttingen, Nr. 22

    Google Scholar 

  • Robertson, J. M. 1959: On turbulent plane Couette flow. Proc. 6th Midwestern Conf. on Fluid Mech. University of Texas, 169–182

  • Stanton, T. E.; Marschall, D.; Bryant, C. N. 1920: On the conditions at the boundary of a fluid in turbulent motion. Proc. Roy. Soc. A 97, 413 London 1920

    Google Scholar 

  • Wyngaard, J. C. 1969: Spatial resolution of the vorticity meter and other hot-wire arrays. J. Sci. Instr. (J. Phys. E) 2, 983–987

    Google Scholar 

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Böttcher, J., Eckelmann, H. Measurement of the velocity gradient with hot-film probes. Experiments in Fluids 3, 87–91 (1985). https://doi.org/10.1007/BF00276714

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