Aerodynamic Drag Analysis of Superpressure and Zero Pressure Balloons using Large Eddy Simulations (LES)

Lohani, B.; Mascarenhas, C.

doi:10.47176/jafm.18.5.3059

Aerodynamic Drag Analysis of Superpressure and Zero Pressure Balloons using Large Eddy Simulations (LES)

Document Type : Regular Article

Authors

B. Lohani ¹
C. Mascarenhas ²

¹ Department of Mechanical Engineering and Materials Science, University of Pittsburgh, Pittsburgh, PA 15261, USA

² School of Engineering and Applied Sciences, Harvard University, 12 Oxford Street, Cambridge, 02138, USA

10.47176/jafm.18.5.3059

Abstract

Stratospheric balloons are an essential part of the scientific research community. In previous stratospheric balloon models used for trajectory prediction and station-keeping, the aerodynamic drag has usually been modeled as similar to that of a sphere. However, with recent proposals to use propulsion systems on the payload of stratospheric balloons to achieve trajectory control in the horizontal plane, it is important to refine our understanding of the drag of stratospheric balloons, especially at low horizontal velocities near transition, where spherical assumptions may deviate significantly. This study conducts a Computational Fluid Dynamics (CFD) investigation into the aerodynamic characteristics of both superpressure balloons (SPBs) and zero pressure balloons (ZPBs) using Large Eddy Simulations (LES). The analysis was conducted over a range of Reynolds numbers that correspond to reasonable forward airspeeds for horizontal stratospheric propulsion-based balloon systems. The results show that both balloons have drag characteristics qualitatively similar to a sphere. This includes an initially high drag coefficient, a drag crisis, and a lower eventual drag coefficient. Quantitatively, however, differences emerge between the balloon aerodynamics and that of a sphere. For example, the drag crisis occurs at a lower Reynolds number for both types of balloons when compared to a sphere. This is critical as proposed propulsion-based balloon systems aim to operate near the Reynolds number where this drag crisis occurs. The drag coefficient for the SPB was found to be less than the ZPB at all Reynolds numbers. A sensitivity analysis revealed that increasing the number of gores decreased the drag coefficient, with the flow separation delayed and the wake narrowing as the gore count increased. For example, a reduction of 32% in drag was observed when the number of gores increased from 30 to 50.

Keywords

Main Subjects

Computational Fluid Dynamics

References

Aaron, K., Heun, M., & Nock, K. (2002). A method for balloon trajectory control. Advances in Space Research, 30(5), 1227–1232. https://doi.org/10.1016/S0273-1177(02)00526-4

Akhlaghi, M., Asadbeigi, M., & Ghafoorian, F. (2023). on Novel CFD and DMST dual method parametric study and optimization of a Darrieus vertical axis wind turbine. Journal of Applied Fluid Mechanics, 17(1), 205-218. https://doi.org/10.47176/jafm.17.1.1985

Almedeij, J. (2008). Drag coefficient of flow around a sphere: Matching asymptotically the wide trend. Powder Technology, 186, 218–223. https://doi.org/10.1016/j.powtec.2007.12.006.

Cathey Jr, H. (2009). The nasa super pressure balloon–a path to flight. Advances in Space Research, 44(1), 23–38. https://doi.org/10.1016/j.asr.2009.02.013

Cathey, H. M., & Fairbrother, D. A. (2013). The 2012 nasa˜ 532,200 m3 super pressure balloon test flight. AIAA Balloon Systems (BAL) Conference (p. 1269).

Dai, Q., Fang, X., Li, X. & Tian, L. (2012). Performance simulation of high altitude scientific balloons. Advances in Space Research, 49(6), 1045–1052. https://doi.org/10.1016/j.asr.2011.12.026

Du, H., Li, J., Zhu, W. Qu, Z., Zhang, L., & Lv, M. (2019a). Flight performance simulation and station-keeping endurance analysis for stratospheric super-pressure balloon in real wind field. Aerospace Science and Technology, 86, 1–10. https://doi.org/10.1016/j.ast.2019.01.001

Du, H., Lv, M., Li, J. Zhu, W., Zhang, L., & Wu, Y. (2019b). Station-keeping performance analysis for high altitude balloon with altitude control system. Aerospace Science and Technology, 92, 644–652. https://doi.org/10.1016/j.ast.2019.06.035

Dykema, J., Keith, D., Anderson, J. & Weisenstein, D. (2014). Stratospheric controlled perturbation experiment: A small-scale experiment to improve understanding of the risks of solar geoengineering. Philosophical transactions. Series A, Mathematical, Physical, and Engineering Sciences, 372. https://doi.org/10.1098/rsta.2014.0059.

Farley, R. (2005). Balloonascent: 3-d simulation tool for the ascent and float of high-altitude balloons. AIAA 5th ATIO and16th Lighter-Than-Air Sys Tech. and Balloon Systems Conferences (p. 7412). https://doi.org/10.2514/6.2005-7412

Fesen, R., & Brown, Y. (2015). A method for establishing a long duration, stratospheric platform for astronomical research. Experimental Astronomy, 39, 475–493. https://doi.org/10.1007/s10686-015-9459-9

Garde, G. (2005). Comparison of two balloon flight simulation programs. AIAA 5th ATIO and16th Lighter-Than-Air Sys Tech. and Balloon Systems Conferences (p. 7413). https://doi.org/10.2514/6.2005-7413

Ghafoorian, F., Mirmotahari, S. R., Wan, H. (2024). Numerical study on aerodynamic performance improvement and efficiency enhancement of the savonius vertical axis wind turbine with semi-directional airfoil guide vane. Ocean Engineering, 307. https://doi.org/10.1016/j.oceaneng.2024.118186

Givi, P. (1989). Model-free simulations of turbulent reactive flows. Progress in Energy and Combustion Science, 15(1), 1–107. URL: https://doi.org/10.1016/0360-1285(89)90006-3.

Jewtoukoff, V., Plougonven, R., Hertzog, A. Snyder, C., & Romine, G. (2016). On the prediction of stratospheric balloon trajectories: improving winds with mesoscale simulations. Journal of Atmospheric and Oceanic Technology, 33(8), 1629–1647. https://doi.org/10.1175/JTECH-D-15-0110.1

Kahyan, Ö. (2020). Station keeping of wind driven stratospheric balloon via propulsion unit. Journal of Engineering Sciences and Design, 8(1), 252-261. https://doi.org/10.21923/jesd.397265

Lesieur, M., & Metais, O. (1996). New trends in large-eddy simulations of turbulence. Annual Review of Fluid Mechanics, 28(1), 45–82. https://doi.org/10.1146/annurev.fl.28.010196.000401

Li, J., Liao, J., Liao, Y. Du, H., Luo, S., Zhu, W., & Lv, M. (2018). An approach for estimating perpetual endurance of the stratospheric solar-powered platform. Aerospace Science And Technology, 79, 118–130. https://doi.org/10.1016/j.ast.2018.05.035

Liu, Y., Xu, Z., Du, H. & Lv, M. (2022). Increased utilization of real wind fields to improve station-keeping performance of stratospheric balloon. Aerospace Science and Technology, 122, 107399. https://doi.org/10.1016/j.ast.2022.107399

Lohani, B., Foran, D., Mohammadian, A., & Nistor, I. (2022). Numerical model of a tidal current acceleration structure. Journal of Renewable and Sustainable Energy, 14(5), 054502. URL: https://doi.org/10.1063/5.0104471 .

Menon, S., Yeung, P., & Kim, W. (1996). Effect of subgrid models on the computed interscale energy transfer in isotropic turbulence. Computers & Fluids, 25(2), 165–180. https://doi.org/10.1016/0045-7930(95)00036-4 .

Miller, G., Stoia, T., Harmala, D. & Atreya, S. (2005). Operational capability of high altitude solar powered airships. AIAA 5th ATIO and16th Lighter-Than-Air Sys Tech. and Balloon Systems Conferences (p. 7487). https://doi.org/10.2514/6.2005-7487

Mladenov, I., & Oprea, J. (2009). Balloons, domes and geometry. J. Geom. Symmetry Phys., 15, 53–88. https://doi.org/10.7546/jgsp-15-2009-53-88.

Moin, P., & Kim, J. (1982). Numerical investigation of turbulent channel flow. Journal of Fluid Mechanics, 118, 341–377. https://doi.org/10.1017/S0022112082001116.

Morrison, F. A. (2013). An introduction to fluid mechanics. (Cambridge University Press, New York, 2013). This correlation appears in Figure 8.13 on page 625., 186. https://doi.org/10.1017/CBO9781139047463

Musso, I., Cardillo, A., Cosentino, O. & Memmo, A. (2004). A balloon trajectory prediction system. Advances in Space Research, 33(10), 1722–1726. https://doi.org/10.1016/j.asr.2003.07.044

Palumbo, R., Russo, M., Filippone, E. & Corraro, F. (2007). Achab: Analysis code for high-altitude balloons. AIAA Atmospheric Flight Mechanics Conference and Exhibit (p. 6642). https://doi.org/10.2514/6.2007-6642

Ramesh, S. S., Ma, J., Lim, K. M. Lee, H P., & Khoo, B C. (2018). Numerical evaluation of station-keeping strategies for stratospheric balloons. Aerospace Science and Technology, 80, 288–300. https://doi.org/10.1016/j.ast.2018.07.010

Raque, S., & Robbins, E. (2012). Recent developments in the sinbad balloon vertical performance model. 32nd Aerospace Sciences Meeting and Exhibit. URL: https://arc.aiaa.org/doi/abs/10.2514/6.1994-517 .

Saleh, S., & He, W. (2017). Ascending performance analysis for high altitude zero pressure balloon. Advances in Space Research, 59(8), 2158–2172. https://doi.org/10.1016/j.asr.2017.01.040

Schur, W. (2002). The design process for a pumpkin balloon: structural synthesis, structural analysis, and analytical assessment of some critical design issues. Advances in Space Research, 30(5), 1193–1198. https://doi.org/10.1016/S0273-1177(02)00532-X

Smith, I. (2002). The nasa balloon program: an overview. Advances in Space Research, 30(5), 1087–1094. https://doi.org/10.1016/S0273-1177(02)00518-5.

Smith, M., & Rainwater, E. (2004). Optimum designs for superpressure balloons. Advances in Space Research, 33(10), 1688–1693. https://doi.org/10.1016/j.asr.2003.07.042

Sóbester, A., Czerski, H., Zapponi, N.& Castro, I. (2014). High-altitude gas balloon trajectory prediction: a monte carlo model. AIAA Journal, 52(4), 832–842. https://doi.org/10.2514/1.J052900

Sun, Q., Lim, K.-M., Lee, & Khoo, B. (2015). Air drag on a stratospheric balloon in tropical regions. Academic High Altitude Conference. Iowa State University Digital Press volume 2015. https://doi.org/10.31274/ahac.5572

Tang, J., Pu, S., Yu, P. Xie, W., Li, Y., & Hu, B. (2022). Research on trajectory prediction of a high-altitude zero-pressure balloon system to assist rapid recovery. Aerospace, 9(10), 622. https://doi.org/10.3390/aerospace9100622

Tian, Y., Lin, G., Guo, J. (2023). Drag crisis analysis of a high-altitude balloon in critical transition. Aerospace Science and Technology, 109. https://doi.org/10.1016/j.ast.2023.108396

van Wynsberghe, E., & Turak, A. (2016). Station-keeping of a high-altitude balloon with electric propulsion and wireless power transmission: A concept study. Acta Astronautica, 128, 616–627. https://doi.org/10.1016/j.actaastro.2016.08.017