شبیه‌سازی عملکرد آیرودینامیکی یک ریز‌ایرفویل متقارن با استفاده از روش دینامیک ذرات اتلافی

نوع مقاله : علمی-پژوهشی

نویسندگان

1 دانشجوی کارشناسی ارشد، دانشکده مکانیک -هوافضا، دانشگاه صنعتی شاهرود،شاهرود، تهران.

2 استادیار،دانشکده مکانیک-هوافضا، دانشگاه صنعتی شاهرود، شاهرود، ایران،

3 استاد، دانشکده مکانیک-هوافضا، دانشگاه صنعتی شاهرود، شاهرود، ایران.

4 دانشیار، دانشکده مکانیک-هوافضا، دانشگاه صنعتی شاهرود، شاهرود، ایران.

چکیده

در این مقاله، از روش دینامیک ذرات اتلافی جهت شبیه­سازی جریان حول ریزایرفویل استفاده شده است. به دلیل مشکل رایج در اعمال شرط مرزی و عدم بررسی آیرودینامیکی اجسام در این روش مولکولی برآن شدیم تا مطالعه در این حیطه را آغاز کنیم. در این مطالعه از شرایط مرزی دوره­ای استفاده شده و با اعمال این شرایط مرزی ذرات به تعادل رسیدند. نتایج بدست­آمده شامل بررسی پروفیل سرعت در هندسه ساده کانال و مقایسه شبیه­سازی جریان در کانال به روش دینامیک ذرات اتلافی و دینامیک سیالات محاسباتی می‌باشد. خطای مقایسه پروفیل سرعت با این دو روش 6 درصد بدست­آمد. در ادامه، جریان حول ایرفویل لوزی شکل شبیه­سازی شد و با گسترش جریان حول ایرفویل الگوی خطوط جریان به­صورت متقارن بدست­آمد. نتایج برای ایرفویل ناکا­0012 در زوایای 0، 3، 6، 9، 10 نیز گسترش داده شد. نمودار ضرایب آیرودینامیکی و همچنین نمودار نسبت نیروی آیرودینامیکی بر حسب زاویه حمله با دو روش شبیه­سازی دینامیک ذرات اتلافی و دینامیک سیالات محاسباتی مقایسه شده است. خطای مقایسه این دو روش کم­تر از 3 درصد محاسبه شد.

کلیدواژه‌ها

موضوعات


[1]  G. Meng, W.-M. Zhang, H. Huang, H.-G. Li, and D. Chen, "Micro-rotor dynamics for micro-electro-mechanical systems (MEMS)," Chaos, Solitons & Fractals, vol. 40, pp. 538-562, 2009.
[2]  K. D. Benkstein, C. J. Martinez, G. Li, D. C. Meier, C. B. Montgomery, and S. Semancik, "Integration of nanostructured materials with MEMS microhotplate platforms to enhance chemical sensor performance," Journal of Nanoparticle Research, vol. 8, pp. 809-822, 2006.
[3]  M. Akcakoca, B. M. Atici, B. Gever, S. Oguz, U. Demirezen, M. Demir, et al., "A simulation-based development and verification architecture for micro uav teams and swarms," in AIAA Scitech 2019 Forum, 2019, p. 1979.
[4]  A. R. Vetrella, G. Fasano, A. Renga, and D. Accardo, "Cooperative UAV navigation based on distributed multi-antenna GNSS, vision, and MEMS sensors," in 2015 International Conference on Unmanned Aircraft Systems (ICUAS), 2015, pp. 1128-1137.
[5]  C. He, B. Yu, and Q. Yi, "A cooperative positioning method for micro UAVs in challenge environment," in 2020 3rd International Conference on Unmanned Systems (ICUS), 2020, pp. 1157-1160.
[6]  C. Cercignani, M. Lampis, and S. Lorenzani, "Variational approach to gas flows in microchannels," Physics of Fluids, vol. 16, pp. 3426-3437, 2004.
[7]  I. Graur, J. Méolans, and D. Zeitoun, "Analytical and numerical description for isothermal gas flows in microchannels," Microfluidics and Nanofluidics, vol. 2, pp. 64-77, 2006.
[8]  C. White, M. K. Borg, T. J. Scanlon, and J. M. Reese, "A DSMC investigation of gas flows in micro-channels with bends," Computers & Fluids, vol. 71, pp. 261-271, 2013.
[9] T. Ewart, J. Firpo, I. Graur, P. Perrier, and J. Meolans, "DSMC simulation: Validation and application to low speed gas flows in microchannels," Journal of fluids engineering, vol. 131, 2009.
[10] M. Yovanovich and W. Khan, "Slip Flow Models for Gas Flows in Rectangular, Trapezoidal, and Hexagonal Microchannels," AIAA Journal, vol. 58, pp. 2147-2155, 2020.
[11] F. Su, S. Tissera, T. Lukas, and A. Munjiza, "Use Improved Gradient Descent in Irregular Boundary Conditions in Molecular Dynamics," in Applied Mechanics and Materials, 2014, pp. 476-480.
[12] G. Di Ilio, D. Chiappini, S. Ubertini, G. Bella, and S. Succi, "Fluid flow around NACA 0012 airfoil at low-Reynolds numbers with hybrid lattice Boltzmann method," Computers & Fluids, vol. 166, pp. 200-208, 2018.
[13] S. Wilhelm, J. Jacob, and P. Sagaut, "An explicit power-law-based wall model for lattice Boltzmann method–Reynolds-averaged numerical simulations of the flow around airfoils," Physics of Fluids, vol. 30, p. 065111, 2018.
[14] A. Shoja-Sani, E. Roohi, M. Kahrom, and S. Stefanov, "Investigation of aerodynamic characteristics of rarefied flow around NACA 0012 airfoil using DSMC and NS solvers," European Journal of Mechanics-B/Fluids, vol. 48, pp. 59-74, 2014.
[15] P. Hoogerbrugge and J. Koelman, "Simulating microscopic hydrodynamic phenomena with dissipative particle dynamics," EPL (Europhysics Letters), vol. 19, p. 155, 1992.
[16] P. Espanol and P. Warren, "Statistical mechanics of dissipative particle dynamics," EPL (Europhysics Letters), vol. 30, p. 191, 1995.
[17] R. D. Groot and P. B. Warren, "Dissipative particle dynamics: Bridging the gap between atomistic and mesoscopic simulation," The Journal of chemical physics, vol. 107, pp. 4423-4435, 1997.
[18] P. Warren, "Vapor-liquid coexistence in many-body dissipative particle dynamics," Physical Review E, vol. 68, p. 066702, 2003.
[19] M. Liu, P. Meakin, and H. Huang, "Dissipative particle dynamics simulation of pore‐scale multiphase fluid flow," Water resources research, vol. 43, 2007.
[20] J. Padding and W. J. Briels, "Systematic coarse-graining of the dynamics of entangled polymer melts: the road from chemistry to rheology," Journal of Physics: Condensed Matter, vol. 23, p. 233101, 2011.
[21] M. Darbandi, R. Zakeri, and G. E. Schneider, "Simulation of polymer chain driven by DPD solvent particles in nanoscale flows," in International Conference on Nanochannels, Microchannels, and Minichannels, 2010, pp. 1035-1040.
[22] R. Zakeri, M. Sabouri, A. Maleki, and Z. Abdelmalek, "Investigation of magneto hydro-dynamics effects on a polymer chain transfer in micro-channel using dissipative particle dynamics method," Symmetry, vol. 12, p. 397, 2020.
[23] Y. Wang and S. Chen, "Droplets impact on textured surfaces: mesoscopic simulation of spreading dynamics," Applied Surface Science, vol. 327, pp. 159-167, 2015.
[24] J. Zhao, S. Chen, and Y. Liu, "Dynamical behaviors of droplet impingement and spreading on chemically heterogeneous surfaces," Applied surface science, vol. 400, pp. 515-523, 2017.
[25] W. Waheed, A. Alazzam, A. N. Al Khateeb, and E. Abu Nada, "Simulation of Fluid Flow in a Microchannel at Low Reynolds Number Using Dissipative Particle Dynamics," in ASME International Mechanical Engineering Congress and Exposition, 2018, p. V010T13A004.
[26] P. Nikunen, M. Karttunen, and I. Vattulainen, "How would you integrate the equations of motion in dissipative particle dynamics simulations?," Computer physics communications, vol. 153, pp. 407-423, 2003.
[27] A. M. Altenhoff, J. H. Walther, and P. Koumoutsakos, "A stochastic boundary forcing for dissipative particle dynamics," Journal of Computational Physics, vol. 225, pp. 1125-1136, 2007.
[28] D. Visser, H. Hoefsloot, and P. Iedema, "Comprehensive boundary method for solid walls in dissipative particle dynamics," Journal of computational Physics, vol. 205, pp. 626-639, 2005.
[29] J. M. Kim and R. J. Phillips, "Dissipative particle dynamics simulation of flow around spheres and cylinders at finite Reynolds numbers," Chemical engineering science, vol. 59, pp. 4155-4168, 2004.
[30] P. De Palma, P. Valentini, and M. Napolitano, "Dissipative particle dynamics simulation of a colloidal micropump," Physics of Fluids, vol. 18, p. 027103, 2006.
[31] A. Mehboudi and M. Saidi, "A systematic method for the complex walls no-slip boundary condition modeling in dissipative particle dynamics," Scientia Iranica, vol. 18, pp. 1253-1260, 2011.
[32] D. Duong-Hong, N. Phan-Thien, and X. Fan, "An implementation of no-slip boundary conditions in DPD," Computational mechanics, vol. 35, pp. 24-29, 2004.
[33] I. V. Pivkin and G. E. Karniadakis, "A new method to impose no-slip boundary conditions in dissipative particle dynamics," Journal of Computational Physics, vol. 207, pp. 114-128, 2005.
[34] D. Zhang, Q. Shangguan, and Y. Wang, "An easy-to-use boundary condition in dissipative particle dynamics system," Computers & Fluids, vol. 166, pp. 117-122, 2018.
[35] S. Pal, C. Lan, Z. Li, E. D. Hirleman, and Y. Ma, "Symmetry boundary condition in dissipative particle dynamics," Journal of Computational Physics, vol. 292, pp. 287-299, 2015.
[36] S. K. Ranjith, B. Patnaik, and S. Vedantam, "No-slip boundary condition in finite-size dissipative particle dynamics," Journal of Computational Physics, vol. 232, pp. 174-188, 2013.
[37] A. Chatterjee and L.-M. Wu, "Predicting rheology of suspensions of spherical and non-spherical particles using dissipative particle dynamics (DPD): methodology and experimental validation," Molecular Simulation, vol. 34, pp. 243-250, 2008.
[38] Y. Zhou, X.-p. Long, and Q.-x. Zeng, "Effect of the angular potential on the temperature control in dissipative particle dynamics simulations," Molecular Simulation, vol. 38, pp. 961-969, 2012.
[39] G. Karniadakis, A. Beskok, and N. Aluru, Microflows and nanoflows: fundamentals and simulation vol. 29: Springer Science & Business Media, 2006.
[40] S. Martínez-Aranda, A. García-González, L. Parras, J. Velázquez-Navarro, and C. Del Pino, "Comparison of the aerodynamic characteristics of the NACA0012 airfoil at low-to-moderate Reynolds numbers for any aspect ratio," International Journal of Aerospace Sciences, vol. 4, pp. 1-8, 2016.
[41]  B. A. M. Zain, F. F. Anuar, and N. Al-Shaibani, "Comparative study on flexible link aerator using arduino programming and dissolved oxygen meter," International Journal of Integrated Engineering, vol. 10, 2018.