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Published in: Experiments in Fluids 3/2023

01-03-2023 | Research Article

Dynamics of pressure field on axisymmetric backward-facing step: subsonic flows

Authors: N. S. Vikramaditya, M. Viji

Published in: Experiments in Fluids | Issue 3/2023

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Abstract

An experimental study aimed at investigating the unsteady pressure field over an axisymmetric backward-facing step (ABFS) was performed at subsonic Mach numbers of 0.6, 0.8, and 0.93. As a part of the experiments, surface flow visualization and unsteady pressure measurements were carried out. The mean reattachment point was identified, and consequently the mean reattachment length was obtained from the oil flow visualization. Pressure measurements indicate that the mean pressure reduces while the root mean square (rms) of the fluctuations increases with the increase in freestream Mach number. However, the coefficient of rms decreases. Conventional spectral analysis suggests that the peaks in the spectra of pressure fluctuations can be classified into three types, and the pressure field in general can be distinguished into two to three regions depending on the amplitude of these three types of peaks and the freestream Mach number. It has been shown that more than 80% of the total energy on the base is contributed by the first five modes, while on the rearbody, 80–86% of the total energy contribution comes from the first six modes. The dynamics of proper orthogonal decomposition (POD) modes indicate that the dominant mode/mechanism is the flapping motion of the shear layer combined with the expansion/contraction of the separated region. Spectral analysis of POD modes suggests the presence of three different fluid dynamic mechanisms and that the freestream Mach number strongly dictates the dominant mechanism that is driving the pressure field.

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Appendix
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Literature
go back to reference Bitter M, Scharnowski S, Hain R, Kähler CJ (2011) High-repetition-rate PIV investigations on a generic rocket model in sub-and supersonic flows. Exp Fluids 50(4):1019–1030CrossRef Bitter M, Scharnowski S, Hain R, Kähler CJ (2011) High-repetition-rate PIV investigations on a generic rocket model in sub-and supersonic flows. Exp Fluids 50(4):1019–1030CrossRef
go back to reference Bitter M, Hara T, Hain R, Yorita D, Asai K, Kähler CJ (2012) Characterization of pressure dynamics in an axisymmetric separating/reattaching flow using fast-responding pressure-sensitive paint. Exp Fluids 53(6):1737–1749CrossRef Bitter M, Hara T, Hain R, Yorita D, Asai K, Kähler CJ (2012) Characterization of pressure dynamics in an axisymmetric separating/reattaching flow using fast-responding pressure-sensitive paint. Exp Fluids 53(6):1737–1749CrossRef
go back to reference Bolgar I, Scharnowski S, Kähler CJ (2018) The effect of the Mach number on a turbulent backward-facing step flow. Flow Turbul Combust 101(3):653–680CrossRef Bolgar I, Scharnowski S, Kähler CJ (2018) The effect of the Mach number on a turbulent backward-facing step flow. Flow Turbul Combust 101(3):653–680CrossRef
go back to reference Chun KB, Sung HJ (1996) Control of turbulent separated flow over a backward-facing step by local forcing. Exp Fluids 21(6):417–426CrossRef Chun KB, Sung HJ (1996) Control of turbulent separated flow over a backward-facing step by local forcing. Exp Fluids 21(6):417–426CrossRef
go back to reference Deck S, Thorigny P (2007) Unsteadiness of an axisymmetric separating-reattaching flow: numerical investigation. Phys Fluids 19(6):065103CrossRefMATH Deck S, Thorigny P (2007) Unsteadiness of an axisymmetric separating-reattaching flow: numerical investigation. Phys Fluids 19(6):065103CrossRefMATH
go back to reference Depres D, Reijasse P, Dussauge JP (2004) Analysis of unsteadiness in afterbody transonic flows. AIAA J 42(12):2541–255CrossRef Depres D, Reijasse P, Dussauge JP (2004) Analysis of unsteadiness in afterbody transonic flows. AIAA J 42(12):2541–255CrossRef
go back to reference Driver DM, Seegmiller HL, Marvin JG (1987) Time-dependent behavior of a reattaching shear layer. AIAA J 25(7):914–919CrossRef Driver DM, Seegmiller HL, Marvin JG (1987) Time-dependent behavior of a reattaching shear layer. AIAA J 25(7):914–919CrossRef
go back to reference Eaton JK, Johnston JP (1981) A review of research on subsonic turbulent flow reattachment. AIAA J 19(9):1093–1100CrossRef Eaton JK, Johnston JP (1981) A review of research on subsonic turbulent flow reattachment. AIAA J 19(9):1093–1100CrossRef
go back to reference Farabee TM, Casarella MJ (1986) Measurements of fluctuating wall pressure for separated reattached boundary-layer flows. Trans ASME: J Vib Acoust 108:301–307 Farabee TM, Casarella MJ (1986) Measurements of fluctuating wall pressure for separated reattached boundary-layer flows. Trans ASME: J Vib Acoust 108:301–307
go back to reference Gentile V, Schrijer FFJ, Van Oudheusden BW, Scarano F (2016) Afterbody effects on axisymmetric base flows”. AIAA Journal 54(8):2285–2294CrossRef Gentile V, Schrijer FFJ, Van Oudheusden BW, Scarano F (2016) Afterbody effects on axisymmetric base flows”. AIAA Journal 54(8):2285–2294CrossRef
go back to reference Heenan AF, Morrison JF (1998a) Passive control of pressure fluctuations generated by separated flow. AIAA J 36(6):1014–1022CrossRef Heenan AF, Morrison JF (1998a) Passive control of pressure fluctuations generated by separated flow. AIAA J 36(6):1014–1022CrossRef
go back to reference Heenan AF, Morrison JF (1998b) Passive control of backstep flow. Exp Thermal Fluid Sci 16(1–2):122–132CrossRef Heenan AF, Morrison JF (1998b) Passive control of backstep flow. Exp Thermal Fluid Sci 16(1–2):122–132CrossRef
go back to reference Holmes P, Lumley JL, Berkooz G, Rowley CW (2012) Proper orthogonal decomposition. Turbulence, coherent structures, dynamical systems and symmetry, 2nd edn. Cambridge University Press, New York, pp 69–71CrossRefMATH Holmes P, Lumley JL, Berkooz G, Rowley CW (2012) Proper orthogonal decomposition. Turbulence, coherent structures, dynamical systems and symmetry, 2nd edn. Cambridge University Press, New York, pp 69–71CrossRefMATH
go back to reference Hudy LM, Naguib A, Humphreys WM (2007) Stochastic estimation of a separated-flow field using wall-pressure-array measurements. Phys Fluids 19(2):024103CrossRefMATH Hudy LM, Naguib A, Humphreys WM (2007) Stochastic estimation of a separated-flow field using wall-pressure-array measurements. Phys Fluids 19(2):024103CrossRefMATH
go back to reference Krishnan V, Mathur NB (1997) Afterbody boundary layer measurements in the base flow wind tunnel. National Aerospace Lab, Bangalore, India, Report No. PD EA 9705 Krishnan V, Mathur NB (1997) Afterbody boundary layer measurements in the base flow wind tunnel. National Aerospace Lab, Bangalore, India, Report No. PD EA 9705
go back to reference Le H, Moin P, Kim J (1997) Direct numerical simulation of turbulent flow over a backward-facing step. J Fluid Mech 330:349–374CrossRefMATH Le H, Moin P, Kim J (1997) Direct numerical simulation of turbulent flow over a backward-facing step. J Fluid Mech 330:349–374CrossRefMATH
go back to reference Li Y, Naguib A (2005) High-frequency oscillating-hot-wire sensor for near-wall diagnostics in separated flows,". AIAA J 43(3):520–529CrossRef Li Y, Naguib A (2005) High-frequency oscillating-hot-wire sensor for near-wall diagnostics in separated flows,". AIAA J 43(3):520–529CrossRef
go back to reference Loosen S, Statnikov V, Meinke M, Schröder W (2018) Modal analysis of passive flow control for the turbulent wake of a generic planar space launcher. CEAS Space Journal 10(2):189–202CrossRef Loosen S, Statnikov V, Meinke M, Schröder W (2018) Modal analysis of passive flow control for the turbulent wake of a generic planar space launcher. CEAS Space Journal 10(2):189–202CrossRef
go back to reference Loth E, Kailasanath K, Lohner R (1992) Supersonic flow over an axisymmetric backward-facing step. J Spacecr Rocket 29(3):352–359CrossRef Loth E, Kailasanath K, Lohner R (1992) Supersonic flow over an axisymmetric backward-facing step. J Spacecr Rocket 29(3):352–359CrossRef
go back to reference Mabey DG (1972) Analysis and correlation of data on pressure fluctuations in separated flow. J Aircr 9(9):642–645CrossRef Mabey DG (1972) Analysis and correlation of data on pressure fluctuations in separated flow. J Aircr 9(9):642–645CrossRef
go back to reference Marié S, Deck S, Weiss PE (2010) From pressure fluctuations to dynamic loads on axisymmetric step flows with minimal number of kulites. Comput Fluids 39(5):747–755CrossRefMATH Marié S, Deck S, Weiss PE (2010) From pressure fluctuations to dynamic loads on axisymmetric step flows with minimal number of kulites. Comput Fluids 39(5):747–755CrossRefMATH
go back to reference Marié S, Druault P, Lambaré H, Schrijer F (2014) Experimental analysis of the pressure–velocity correlations of external unsteady flow over rocket launchers. Aerospace Sci Technol 30(1):83–93 Marié S, Druault P, Lambaré H, Schrijer F (2014) Experimental analysis of the pressure–velocity correlations of external unsteady flow over rocket launchers. Aerospace Sci Technol 30(1):83–93
go back to reference Mathur NB, Viswanath PR (2004) Drag reduction from square base afterbodies at high speeds. J Aircr 41(4):811–820CrossRef Mathur NB, Viswanath PR (2004) Drag reduction from square base afterbodies at high speeds. J Aircr 41(4):811–820CrossRef
go back to reference Meliga P, Reijasse P (2007) Unsteady transonic flow behind an axisymmetric afterbody with two boosters. Proceedings of the 25th AIAA applied aerodynamics conference, Miami, June 2007, Paper No. 2007–4564 Meliga P, Reijasse P (2007) Unsteady transonic flow behind an axisymmetric afterbody with two boosters. Proceedings of the 25th AIAA applied aerodynamics conference, Miami, June 2007, Paper No. 2007–4564
go back to reference Mochel L, Weiss PÉ, Deck S (2014) Zonal immersed boundary conditions: application to a high-Reynolds-number afterbody flow. AIAA J 52(12):2782–2794CrossRef Mochel L, Weiss PÉ, Deck S (2014) Zonal immersed boundary conditions: application to a high-Reynolds-number afterbody flow. AIAA J 52(12):2782–2794CrossRef
go back to reference Pain R, Weiss PE, Deck S (2014) Zonal detached eddy simulation of the flow around a simplified launcher afterbody. AIAA J 52(9):1967–1979CrossRef Pain R, Weiss PE, Deck S (2014) Zonal detached eddy simulation of the flow around a simplified launcher afterbody. AIAA J 52(9):1967–1979CrossRef
go back to reference Pain R, Weiss PE, Deck S, Robinet JC (2019) Large scale dynamics of a high Reynolds number axisymmetric separating/reattaching flow. Phys Fluids 31(12):125119CrossRef Pain R, Weiss PE, Deck S, Robinet JC (2019) Large scale dynamics of a high Reynolds number axisymmetric separating/reattaching flow. Phys Fluids 31(12):125119CrossRef
go back to reference Roshko A, Thomke GJ (1966) Observations of turbulent reattachment behind an axisymmetric downstream-facing step in supersonic flow. AIAA J 4(6):975–980CrossRef Roshko A, Thomke GJ (1966) Observations of turbulent reattachment behind an axisymmetric downstream-facing step in supersonic flow. AIAA J 4(6):975–980CrossRef
go back to reference Saile D, Kühl V, Gülhan A (2019) On the subsonic near-wake of a space launcher configuration with exhaust jet. Exp Fluids 60(50):1–17CrossRef Saile D, Kühl V, Gülhan A (2019) On the subsonic near-wake of a space launcher configuration with exhaust jet. Exp Fluids 60(50):1–17CrossRef
go back to reference Saile D, Kühl V, Gülhan A (2019) On subsonic near-wake of a space launcher configuration with exhaust jet. Exp Fluids 60(165):1–17CrossRef Saile D, Kühl V, Gülhan A (2019) On subsonic near-wake of a space launcher configuration with exhaust jet. Exp Fluids 60(165):1–17CrossRef
go back to reference Scharnowski S, Kähler CJ (2015) Investigation of a transonic separating/reattaching shear layer by means of PIV. Theor Appl Mech Lett 5(1):30–34CrossRef Scharnowski S, Kähler CJ (2015) Investigation of a transonic separating/reattaching shear layer by means of PIV. Theor Appl Mech Lett 5(1):30–34CrossRef
go back to reference Schrijer FFJ, Sciacchitano A, Scarano F (2014) Spatio-temporal and modal analysis of unsteady fluctuations in a high-subsonic base flow. Phys Fluids 26(8):086101CrossRef Schrijer FFJ, Sciacchitano A, Scarano F (2014) Spatio-temporal and modal analysis of unsteady fluctuations in a high-subsonic base flow. Phys Fluids 26(8):086101CrossRef
go back to reference Statnikov V, Sayadi T, Meinke M, Schmid P, Schröder W (2015a) Analysis of pressure perturbation sources on a generic space launcher after-body in supersonic flow using zonal turbulence modeling and dynamic mode decomposition. Phys Fluids 27(1):016103CrossRef Statnikov V, Sayadi T, Meinke M, Schmid P, Schröder W (2015a) Analysis of pressure perturbation sources on a generic space launcher after-body in supersonic flow using zonal turbulence modeling and dynamic mode decomposition. Phys Fluids 27(1):016103CrossRef
go back to reference Statnikov V, Saile D, Meiss JH, Henckels A, Gülhan A, Schröder W (2015b) Experimental and numerical investigation of the turbulent wake flow of a generic space launcher configuration. Progr Flight Phys EUCASS Book Series-Adv AeroSpace Sci 7:329–350 Statnikov V, Saile D, Meiss JH, Henckels A, Gülhan A, Schröder W (2015b) Experimental and numerical investigation of the turbulent wake flow of a generic space launcher configuration. Progr Flight Phys EUCASS Book Series-Adv AeroSpace Sci 7:329–350
go back to reference Statnikov V, Bolgar I, Scharnowski S, Meinke M, Kähler CJ, Schröder W (2016b) Analysis of characteristic wake flow modes on a generic transonic backward-facing step configuration. Eur J Mech-B/Fluids 59:124–134MathSciNetCrossRefMATH Statnikov V, Bolgar I, Scharnowski S, Meinke M, Kähler CJ, Schröder W (2016b) Analysis of characteristic wake flow modes on a generic transonic backward-facing step configuration. Eur J Mech-B/Fluids 59:124–134MathSciNetCrossRefMATH
go back to reference Statnikov V, Meinke M, Schröder W (2017) Reduced-order analysis of buffet flow of space launchers. Journal of Fluid Mechanics 815:1–25MathSciNetCrossRefMATH Statnikov V, Meinke M, Schröder W (2017) Reduced-order analysis of buffet flow of space launchers. Journal of Fluid Mechanics 815:1–25MathSciNetCrossRefMATH
go back to reference Statnikov V, Roidl B, Meinke MH, Schroeder W (2016a) Analysis of spatio-temporal wake modes of space launchers at transonic flow. In: 54th AIAA aerospace sciences meeting p 1116 Statnikov V, Roidl B, Meinke MH, Schroeder W (2016a) Analysis of spatio-temporal wake modes of space launchers at transonic flow. In: 54th AIAA aerospace sciences meeting p 1116
go back to reference Venkatakrishnan L (2005) Density measurements in an axisymmetric underexpanded jet by background-oriented schlieren technique. AIAA J 43(7):1574–1579CrossRef Venkatakrishnan L (2005) Density measurements in an axisymmetric underexpanded jet by background-oriented schlieren technique. AIAA J 43(7):1574–1579CrossRef
go back to reference Venkatakrishnan L, Suriyanarayanan P (2009) Density field of supersonic separated flow past an afterbody nozzle using tomographic reconstruction of BOS data. Exp Fluids 47(3):463–473CrossRef Venkatakrishnan L, Suriyanarayanan P (2009) Density field of supersonic separated flow past an afterbody nozzle using tomographic reconstruction of BOS data. Exp Fluids 47(3):463–473CrossRef
go back to reference Viji M, Vikramaditya NS (2019) Modes of base pressure fluctuations: shape, nature, and origin. AIAA J 57(9):3933–3942CrossRef Viji M, Vikramaditya NS (2019) Modes of base pressure fluctuations: shape, nature, and origin. AIAA J 57(9):3933–3942CrossRef
go back to reference Vikramaditya NS, Viji M (2019) Mach number effect on symmetric and antisymmetric modes of base pressure fluctuations. J Fluids Eng 141(2):021105CrossRef Vikramaditya NS, Viji M (2019) Mach number effect on symmetric and antisymmetric modes of base pressure fluctuations. J Fluids Eng 141(2):021105CrossRef
go back to reference Weiss PÉ, Deck S (2011) Control of the antisymmetric mode (m= 1) for high Reynolds axisymmetric turbulent separating/reattaching flows. Phys Fluids 23(9):095102CrossRef Weiss PÉ, Deck S (2011) Control of the antisymmetric mode (m= 1) for high Reynolds axisymmetric turbulent separating/reattaching flows. Phys Fluids 23(9):095102CrossRef
go back to reference Weiss PE, Deck S, Robinet JC, Sagaut P (2009) On the dynamics of axisymmetric turbulent separating/reattaching flows. Phys Fluids 21(7):075103CrossRefMATH Weiss PE, Deck S, Robinet JC, Sagaut P (2009) On the dynamics of axisymmetric turbulent separating/reattaching flows. Phys Fluids 21(7):075103CrossRefMATH
Metadata
Title
Dynamics of pressure field on axisymmetric backward-facing step: subsonic flows
Authors
N. S. Vikramaditya
M. Viji
Publication date
01-03-2023
Publisher
Springer Berlin Heidelberg
Published in
Experiments in Fluids / Issue 3/2023
Print ISSN: 0723-4864
Electronic ISSN: 1432-1114
DOI
https://doi.org/10.1007/s00348-023-03598-8

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