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Research Papers: Flows in Complex Systems

Mach Number Effect on Symmetric and Antisymmetric Modes of Base Pressure Fluctuations

[+] Author and Article Information
N. S. Vikramaditya

Experimental Aerodynamics Division,
CSIR-NAL,
National Aerospace Laboratories,
Bangalore 560017, India
e-mail: vikram_sri@yahoo.com

M. Viji

Experimental Aerodynamics Division,
CSIR-NAL,
National Aerospace Laboratories,
Bangalore 560017, India
e-mail: muniviji@gmail.com

Contributed by the Fluids Engineering Division of ASME for publication in the JOURNAL OF FLUIDS ENGINEERING. Manuscript received March 7, 2018; final manuscript received July 12, 2018; published online August 16, 2018. Assoc. Editor: Philipp Epple.

J. Fluids Eng 141(2), 021105 (Aug 16, 2018) (13 pages) Paper No: FE-18-1156; doi: 10.1115/1.4040928 History: Received March 07, 2018; Revised July 12, 2018

An experimental study aimed at evaluating the influence of Mach number on the base pressure fluctuations of a cylindrical afterbody was performed over a wide range of Mach numbers from subsonic to supersonic speeds. Time-averaged results indicate that the coefficient of base pressure drops with the increase in the freestream Mach number at subsonic speeds and increases at supersonic Mach numbers. The coefficient of root-mean-square of the pressure fluctuations follows a decreasing trend with the increase in the Mach number. Examination of the spectra reveals different mechanisms dominate the pressure fluctuations from the center to the periphery of the base as well as with the change in the Mach number. Analysis of the azimuthal coherence indicates that all the dominant tones in the spectra can be classified either into a symmetric or an antisymmetric mode at subsonic Mach numbers. However, at supersonic Mach numbers, all the dominant tones in the spectra are symmetric in nature. The results from the cross-correlation suggest that two possible mechanisms of recirculation bubble pulsing and convective motions/vortex shedding are driving the dynamics on the base at subsonic Mach numbers. However, at supersonic Mach numbers, only single mechanism of the recirculation bubble pulsing dominates. Moreover, it indicates that the symmetric mode is associated with the dynamics of the recirculation bubble and the antisymmetric mode is related to the convective motions/vortex shedding.

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Figures

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Fig. 1

(a) Schematic of model mounted in tunnel with characteristic dimensions and (b) photograph of model mounted in tunnel

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Fig. 2

Pressure measurement locations on base of model

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Fig. 3

Pressure measurement locations on afterbody of model

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Fig. 4

Radial (a) and Azimuthal (b) variation of Cpb with M

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Fig. 5

Comparison of Cp between x/D = −1.575, −0.315, and 0 at various M

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Fig. 6

Comparison of Cpb between this study and literature for various M

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Fig. 7

Radial (a) and Azimuthal (b) variation of Cpbrms with M

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Fig. 8

(a) Spectra at various radial locations for different M and (b) spectra at azimuthal locations for different M

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Fig. 9

Variation of CR and CI with Δθ at St = 0.45 and M = 0.8

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Fig. 10

Spectra of different azimuthal modes at M=0.8

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Fig. 11

Spectra of azimuthal modes at various M

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Fig. 12

Plot of γ and ψ versus Δθ for different St at M = 0.6 for m = 1

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Fig. 13

Plot of γ and ψ versus Δθ for different St at M = 0.8 and 0.93 for m = 1

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Fig. 14

Plot of γ and ψ versus Δθ for different St and M for m = 0

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Fig. 15

Plot of cross-correlation between radial locations for various M

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