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Wall roughness effects on the supersonic flow over a circular cylinder

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Abstract

A comprehensive and systematic, computational investigation is presented on the effect of wall roughness on the supersonic flow over a circular cylinder with a Reynolds number of 500. Flow simulations are conducted using ANSYS Fluent. Wall roughness is modeled by a perturbation of the cylinder geometry with harmonic modes of varying amplitude and frequency. Validated smooth cylinder flow simulations for a range of Mach and Reynolds numbers with slip and no-slip wall serve as a reference. Roughness is shown to increase the effective diameter of the cylinder and the drag by displacing the outer flow along the peaks of the roughness elements. For lower frequencies, this effect is less pronounced than for higher roughness frequencies. While for smooth cylinders the vorticity is mostly generated by viscous shear forces, for rough cylinder the baroclinic vorticity generation is shown to be dominant and shown to determine the topology of the recirculating region.

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Data availability

The datasets generated during and/or analyzed during the current study are available from the corresponding author on reasonable request.

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Acknowledgements

The authors acknowledge funding provided by a mobility grant from Spain, and funding from AFOSR under Grant No. FA9550-19-1-0387 is greatly appreciated.

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Authors and Affiliations

  1. Department of Aerospace Engineering, San Diego State University, San Diego, CA, USA

    A. Blanco-Casares & G. B. Jacobs

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  1. A. Blanco-Casares
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  2. G. B. Jacobs
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Correspondence to G. B. Jacobs.

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Communicated by A. Hadjadj.

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Appendix

Appendix

1.1 Specific heat coefficients

\(C_P /R = a_1 + a_2 T + a_3 T^2 + a_4 T^3 + a_5 T^4\), where R is the universal gas constant for air that is 287 J/(kg K) for air [25].

See Tables 10 and 11.

1.2 Thermal conductivity

See Table 12 and Fig. 29.

Table 12 Air thermal conductivity piecewise linear coefficients [26]
Full size table
Fig. 29
figure 29

Thermal conductivity obtained with the Eucken method given a constant \(\gamma \), and the thermal conductivity of dry air at two different pressures from Ref. [26]

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Blanco-Casares, A., Jacobs, G.B. Wall roughness effects on the supersonic flow over a circular cylinder. Shock Waves 32, 643–663 (2022). https://doi.org/10.1007/s00193-022-01098-y

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