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

عنوان مقاله [English]

Simulation of the Aerodynamic Performance of a Symmetrical Airfoil Using Dissipative Dynamic Particle Method

نویسندگان [English]

  • Rokhshaad Dashti gohari 1
  • Ramin Zakeri 2
  • Mohammad Mohsen Shahmardan 3
  • Mohsen Nazari 4

1 M.Sc. Student. Department of Mechanical and Aerospace, Engineering, Shahrood University of Technology,, Shahrood, Iran.

2 Assistant Professor. Department of Mechanical and Aerospace, Engineering, Shahrood University of Technology, Shahrood, Iran.

3 Professor. Department of Mechanical and Aerospace, Engineering, Shahrood University of Technology, Shahrood, Iran.

4 Associate Professor. Department of Mechanical and Aerospace, Engineering, Shahrood University of Technology. Shahrood, Iran

چکیده [English]

This paper uses the dissipative particle dynamic method to simulate the flow around a micro-airfoil. Due to the common problem in applying boundary conditions and the lack of aerodynamic study of objects in this molecular method, we decided to study this field. In this study, periodic boundary conditions were used, and the particles were balanced by applying these boundary conditions. The results include the analysis of velocity profiles in simple channel geometry and the comparison of flow simulations in channels by dissipative particle dynamics and computational fluid dynamics. The error of comparing the velocity profiles with these two methods was 6%. Next, the flow around the rhombus-shaped airfoil was simulated, and with the expansion of the flow around the airfoil, the pattern of flow lines was obtained symmetrically. The results for airfoil NACA0012 were also extended to angles 0, 3, 6, 9 and 10. The diagram of aerodynamic coefficients and the diagram of aerodynamic force ratio in terms of attack angle have been compared with two simulation methods of dissipative particle dynamics and computational fluid dynamics. The comparison error of these two methods was calculated to be less than 3%. 

کلیدواژه‌ها [English]

  • Dissipative Particle Dynamics
  • Computational Fluid Dynamics
  • Micro-airfoil
  • NACA0012
  • Aerodynamic Coefficients
[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.