Abstract
Upon its development and initial characterization, the supersonic variant of the nanoscale thermal anemometry probe (S-NSTAP) was deployed in a supersonic wind tunnel facility, where both freestream and boundary layer measurements were obtained at \(M_\infty =2\). The low operating stagnation pressures generated reliable data, where the effects of Reynolds number, Mach number and overheat ratio on the sensor’s heat transfer were investigated in detail. The performance of the S-NSTAP was also compared to that of a conventional cylindrical hot-wire and the S-NSTAP was shown to exhibit unparalleled temporal resolution (\(\sim \) 300 kHz). The mass flux sensitivity coefficient of both hot-wires was further computed and appeared to vary between probes, yielding a coefficient twice as large for the conventional probe than for the S-NSTAP. The experimental data obtained from both hot-wires were also compared, via spectral analysis and turbulence statistics, to the results of a numerically modelled turbulent boundary layer.
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References
Adrian RJ (2007) Hairpin vortex organization in wall turbulence. Phy Fluids 19(041):301
Bailey SCC, Kunkel GJ, Hultmark M, Vallikivi M, Hill JP, Meyer KA, Tsay C, Arnold CB, Smits AJ (2010) Turbulence measurements using a nanoscale thermal anemometry probe. J Fluid Mech 663:160–179
Baldwin LV, Sandborn VA, Laurence JC (1960) Heat transfer from transverse and yawed cylinders in continuum, slip, and free molecule air flows. J Heat Transf 77–86
Barre S, Dupont P, Dussauge JP (1992) Hot-wire measurements in turbulent transonic flows. Euro J Mech-B/Fluids 11(4):439–454
Bross M, Scharnowski S, Kähler CJ (2021) Large-scale coherent structures in compressible turbulent boundary layers. J Fluid Mech 911
Comte-Bellot G (1976) Hot-wire anemometry. Annual Rev Fluid Mech 8:209–231
Dewey CF Jr (1961) Hot-wire measurements in low Reynolds number hypersonic flows. Tech. rep, Guggenheim Aeronautical Laboratory California Institute of Technology
Dewey CF Jr (1965) A correlation of convective heat transfer and recovery temperature data for cylinders in compressible flow. Int J Heat and Mass Trans 8(2):245–252
Dupont P, Debiève JF (1992) A hot wire method for measuring turbulence in transonic or supersonic heated flows. Exp Fluids 13:84–90
Elsinga GE, Adrian RJ, Van Oudheusden BW, Scarano F (2010) Three-dimensional vortex organization in a high-Reynolds-number supersonic turbulent boundary layer. J Fluid Mech 644:35–60
Fan Y, Arwatz G, Van Buren TW, Hoffman DE, Hultmark M (2015) Nanoscale sensing devices for turbulence measurements. Exp Fluids 56:138
Freymuth P (1977) Frequency response and electronic testing for constant-temperature hot-wire anemometers. J Phy E: Sci Instruments 10(7):705
Gatski TB, Bonnet JP (2009) Compressibility, turbulence and high speed flow. Elsevier
Jiang T, Schreyer AM, Larchevêque L, Piponniau S, Dupont P (2017) Velocity spectrum estimation in shock-wave/turbulent boundary-layer interaction. AIAA J 55(10):3486–3498
Kim KC, Adrian RJ (1999) Very large-scale motion in the outer layer. Phy Fluids 11(2):417–422
King LV (1914) XII. On the convection of heat from small cylinders in a stream of fluid: Determination of the convection constants of small platinum wires with applications to hot-wire anemometry. Phil Trans R Soc Lond A 214(509-522):373–432
Kistler AL (1959) Fluctuation measurements in a supersonic turbulent boundary layer. Phy Fluids 2(3):290–296
Kokmanian K (2020) Development of a nanoscale hot-wire probe for supersonic flow applications. PhD thesis, Princeton University
Kokmanian K, Scharnowski S, Bross M, Duvvuri S, Fu MK, Kähler CJ, Hultmark M (2019) Development of a nanoscale hot-wire probe for supersonic flow applications. Exp Fluids 60:150
Kovásznay LSG (1950) The hot-wire anemometer in supersonic flow. J Aeronaut Sci 17(9):565–572
Kovásznay LSG, Törmarck SIA (1950) Heat loss of hot-wires in supersonic flow. Tech. Rep. 127, The Johns Hopkins University
Laufer J, McClellan R (1956) Measurements of heat transfer from fine wires in supersonic flows. J Fluid Mech 1(3):276–289
Martin MP (2004) DNS of hypersonic turbulent boundary layers. In: Proceedings of the 34th AIAA Fluid Dynamics Conference and Exhibit, p 2337
Morkovin MV (1956) Fluctuations and hot-wire anemometry in compressible flows. Tech. Rep. AGARDograph 24, North Atlantic Treaty Organization, Advisory Group for Aeronautical Research and Development
Perry AE, Henbest S, Chong MS (1986) A theoretical and experimental study of wall turbulence. J Fluid Mech 165:163–199
Rapp BE (2017) Microfluidics: Modeling. Elsevier, Mechanics and Mathematics
Schreyer AM, Larchevêque L, Dupont P (2016) Method for spectra estimation from high-speed experimental data. AIAA J 54(2):557–568
Smits AJ, Hayakawa K, Muck KC (1983) Constant temperature hot-wire anemometer practice in supersonic flows. Exp Fluids 1:83–92
Smits AJ, McKeon BJ, Marusic I (2011) High-Reynolds number wall turbulence. Annu Rev Fluid Mech 43
Spina EF, McGinley CB (1994) Constant-temperature anemometry in hypersonic flow: critical issues and sample results. Exp Fluids 17:365–374
Stalder JR, Goodwin G, Creager MO (1951) A comparison of theory and experiment for high-speed free-molecule flow. Tech. Rep. 1032, National Advisory Committee for Aeronautics
Stalder JR, Goodwin G, Creager MO (1952) Heat transfer to bodies in a high-speed rarified-gas stream. Tech. Rep. 1093, National Advisory Committee for Aeronautics
Tropea C, Yarin AL, Foss JF (2007) Springer handbook of experimental fluid mechanics. Springer
Tutkun M, George WK, Delville J, Stanislas M, Johansson PBV, Foucaut JM, Coudert S (2009) Two-point correlations in high Reynolds number flat plate turbulent boundary layers. J Turb 10(21):1–23
Weltmann RN, Kuhns PW (1960) Heat transfer to cylinders in crossflow in hypersonic rarefied gas streams. National Aeronautics and Space Administration
Acknowledgements
The authors warmly thank Alejandro Gómez Mesa for helping with the compilation of the heat transfer results. Prof. Lionel Larchevêque is also thanked for sharing the results of his numerical simulation. The assistance of Kelly Huang and Alexander Piqué during sensor manufacturing is gratefully acknowledged. The financial support from the Labex Mécanique is gratefully acknowledged. Lastly, the authors kindly acknowledge the support of the Wenner-Gren Foundations.
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Kokmanian, K., Barros, D.C., Hultmark, M. et al. Heat transfer measurements of a nanoscale hot-wire in supersonic flow. Exp Fluids 62, 171 (2021). https://doi.org/10.1007/s00348-021-03259-8
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DOI: https://doi.org/10.1007/s00348-021-03259-8