شبیه‌سازی عددی فرآیند سوراخ‌کاری استخوان جمجمه‌ توسط جت آب

نوع مقاله : مقاله پژوهشی

نویسندگان

1 دانشگاه اصفهان، دانشکدۀ فنی مهندسی، گروه مهندسی مکانیک.

2 دانشگاه اصفهان، دانشکدۀ فنی مهندسی، گروه مهندسی پزشکی.

چکیده

در این مقاله، مسئلۀ سوراخ‌کاری سطح استخوان جمجمۀ انسان به‌شکل نیم‌کره بااستفاده از جت آب به‌صورت عددی شبیه‌سازی سه‌بعدی شده‌است. شبیه‌سازی شامل هر دو بخش جریان و انتقال حرارت جت آب برخوردی و فرایند تراشه‌برداری سطح می‌شود. برای مدل‌سازی جریان دو فازی جت، از روش حجم سیال و برای سوراخ‌کاری سطح استخوان، از معادلات جانسون- کوک در روش اجزای محدود استفاده ‌شده‌است. نتایج به‌دست‌آمده نشان می‌دهد که ضرایب فشار و اصطکاک  روی سطح برخورد، بستگی به فاصلۀ نازل از سطح دارند و فشار با کمتر شدن فاصلۀ نازل از سطح در نقطۀ سکون افزایش می‌یابد. هم‌چنین با افزایش فاصلۀ نازل از سطح، عدد ناسلت محلی در امتداد شعاع نیم‌کره و ماکزیمم ناسلت در نقطۀ سکون هر دو کاهش می‌یابند. اثر قطر نازل بر ضرایب فشار و اصطکاک نیز بررسی شد و دیده شد که فشار با افزایش قطر نازل در نقطۀ سکون افزایش خواهد یافت. تغییر سرعت جت نیز نشان داد که تغییر 20 درصدی این سرعت، اثر قابل توجهی بر ضرایب فشار و اصطکاک ندارد، ولی عدد ناسلت را افزایش می‌دهد. در مدل‌سازی فرایند سوراخ‌کاری سطح استخوان، از خواص و ضرایب واقعی جنس استخوان ازجمله ضریب پوآسن و مدول یانگ استفاده ‌شد. مقایسۀ توزیع تنش ایجادشده در محل با دو معیار ترسکا و فون مایزز نشان می‌دهد که براساس پارامترهای پیشنهادی، سوراخ‌کاری به‌طرز مطلوبی انجام می‌پذیرد.

کلیدواژه‌ها

موضوعات


عنوان مقاله [English]

Numerical Simulation of Cranial Bone Perforation Process Using Water Jet

نویسندگان [English]

  • Shahed-Al-Sadat Alavi 1
  • Masoud Ziaei-Rad 1
  • Nima Jamshidi 2
1 Mechanical Engineering Department, Faculty of Engineering, University of Isfahan, Isfahan, Iran
2 Biomedical Engineering Department, Faculty of Engineering, University of Isfahan, Isfahan, Iran
چکیده [English]

In this paper, the problem of perforation of the human cranial bone surface in the shape of a hemisphere using a water jet is numerically simulated in three dimensions. The simulation involves both the flow and heat transfer of the impinging water jet, and surface perforation process. The volume of fluid method was used to model the jet two-phase flow, and Johnson-Cook equation in finite element method was applied for perforating the bone surface. The obtained results show that the pressure and friction coefficients on the surface depend on the nozzle distance from the surface, and the pressure at the stagnation point increases as the nozzle distance decreases. Also, by increasing the nozzle distance, local Nusselt number along the hemisphere radius as well as maximum Nusselt decreases at the stagnation point. The effect of nozzle diameter on pressure and friction coefficients was also investigated and found that the pressure at stagnation point is increased by the nozzle diameter. The change in the jet velocity also showed that a 20% change in velocity has no significant effect on the pressure and friction coefficients, while increases the Nusselt number. In modeling the perforation process, actual properties and coefficients of bone material, such as Poisson's coefficient and Young's modulus were used. Comparison of on-site stress distribution based on Tresca and von Mises criteria showed that according to the proposed parameters, the perforation is performed properly.

کلیدواژه‌ها [English]

  • water jet
  • cranial bone perforation
  • Numerical simulation
  • Finite-volume method
  • Finite-element method
  1. Tu, Y.K., Chen, L.W., Huang, C.C., Chen, Y.C., Tsai, H.H. and Lin, L.C., "Finite Element Simulation of Drill Bit and Bone Thermal Contact During Drilling", Proceedings of the 2nd International Conference on Bioinformatics and Biomedical Engineering, IEEE., pp. 1268-1271, (2008).
  2. Shakouri, E. and Maerefat, M., "Theoretical and Experimental Investigation of Heat Generation in Bone Drilling: Determination of the Share of Heat Input to the Bone Using Machining Theory and Inverse Conduction Heat Transfer", Modares Mechanical Engineering, Vol. 17, No.7, Pp. 131-140, (2017).
  3. Shakouri, E., Haghighi Hassanali, H. and Gholampour, S., "Experimental Evaluating and Statistical Modeling of Temperature Elevation in Bone Drilling with Internal Cooling with Gas", Modares Mechanical Engineering, Vol. 17, No.3, Pp. 47-54, (2017).
  4. Liu, X., Liu, S. and Ji, H., "Numerical Research on Rock Breaking Performance of Water Jet Based on SPH", Powder Technology, Vol. 286, pp. 181-192, (2015).
  5. Li, M., Ni, H., Wang, G. and Wang, R., "Simulation of Thermal Stress Effects in Submerged Continuous Water Jets on the Optimal Standoff Distance During Rock Breaking", Powder technology, Vol. 320, pp. 445-456, (2017).
  6. Haghighi, H.H. and Gholampour, S., "Finding the Optimal Drill Bit Material and Proper Drilling Condition for Utilization in the Programming of Robot-Assisted Drilling of Bone", CIRP Journal of Manufacturing Science and Technology, Vol. 31, pp. 34-47, (2020).
  7. Di Venuta, I., Petracci, I., Angelino, M., Boghi, A. and Gori, F., "Numerical Simulation of Mass Transfer and Fluid Flow Evolution of a Rectangular Free Jet of Air", International Journal of Heat and Mass Transfer, Vol. 117, pp. 235-251, (2018).
  8. Kuraan, A.M., Moldovan, S.I. and Choo, K., "Heat Transfer and Hydrodynamics of Free Water Jet Impingement at Low Nozzle-to-Plate Spacings", International Journal of Heat and Mass Transfer, Vol. 108, pp. 2211-2216, (2017).
  9. Baghel, K., Sridharan, A. and Murallidharan, J.S., "Heat Transfer Characteristics of Free Surface Water Jet Impingement on a Curved Surface", International Journal of Heat and Mass Transfer, Vol. 164, 120487, (2021).
  10. Hirt, C.W. and Nichols B.D., "Volume of Fluid (VOF) Method for the Dynamics of Free Boundaries", Journal of computational physics, Vol. 39, No. 1, pp. 201-225, (1981).
  11. Hanjalic, K. and Launder, B., "A Reynolds Stress Model of Turbulence and its Application to Thin Shear Flows", Fluid Mechanics., Vol. 52, pp. 609-638, (1972).
  12. Lotfi, M., Amini, S. and Aghaei, M., "3D FEM Simulation of Tool Wear in Ultrasonic Assisted Rotary Turning", Ultrasonics, Vol. 88, pp.106-114, (2018).
  13. Cakir, F.H., Gurgen, S., Sofuoglu, M.A., Celik, O.N. and Kushan, M.C., "Finite Element Modeling of Ultrasonic Assisted Turning of Ti6Al4V Alloy", Procedia-Social and Behavioral Sciences, Vol. 195, pp. 2839-2848, (2015).
  14. Murugesan, M. and Jung, D.W., "Johnson Cook Material and Failure Model Parameters Estimation of AISI-1045 Medium Carbon Steel for Metal Forming Applications", Materials, Vol. 12, No. 4, pp. 609, (2019).
  15. Hu, G., Zhang, L., "Experimental and Numerical Study on Heat Transfer with Impinging Circular Jet on a Convex Hemispherical Surface", Heat Transfer Engineering, Vol. 28, No. 12, pp. 1008-1016, (2007).
  16. Santiuste, C., Rodríguez-Millán, M., Giner, E. and Miguélez, H., "The Influence of Anisotropy in Numerical Modeling of Orthogonal Cutting of Cortical Bone", Composite Structures, Vol. 116, pp. 423-431, (2014).