شبیه‌سازی جریان غیر همدمای لاستیک در میکسر بنبوری با استفاده از دینامیک سیالات محاسباتی

نوع مقاله : مقاله پژوهشی

نویسندگان

دانشگاه تهران

چکیده

اختلاط یکی از مراحل اولیه و ضروری در فرآیند صنعتی ساخت لاستیک است. هدف اصلی اختلاط شامل ترکیب مواد، افزودن انرژی برای شکستن پیوند‌های مولکولی و ادغام مواد با هوا است. پارامترهای عملیاتی مختلفی در کیفیت اختلاط تأثیرگذار است. تحقیق حاضر بر روی شبیه‌سازی غیر هم‌دمای اختلاط لاستیک در یک میکسر بنبوری انجام ‌شده‌ است. مطالعات عددی سه‌بعدی با استفاده از دینامیک سیالات محاسباتی به منظور دسترسی به اثر پارامترهای عملیاتی مختلف انجام‌ شده است. حرکت روتورها در محاسبات از طریق تکنیک مش لغزان انجام‌ شده است و روش حجم سیال مبتنی بر رویکرد اویلری برای ردیابی سطح مشترک بین فاز لاستیکی و هوا استفاده شده است. مدل ویسکوزیته غیر نیوتنی کریو-یاسودا همراه با یک فرمول آرنیوس برای تعیین ویسکوزیته وابسته به دمای لاستیک استفاده شده است. نتایج این تحقیق نشان می‌دهد که ویسکوزیته بالای لاستیک منجر به گرمایش ویسکوز می‌شود. این پدیده، به‌ویژه در ناحیه باریک بین نوک روتور و دیواره که نرخ برش بالایی وجود دارد موثر است و این عامل بر ویسکوزیته و ویژگی‌های جریان لاستیک تأثیر می‌گذارد.

کلیدواژه‌ها

عنوان مقاله [English]

Simulation of Non-Isothermal Flow of Rubber in Banbury Mixer Using Computational Fluid Dynamics

نویسندگان [English]

  • Zahra Mansourpour
  • Mohammad Falahati
چکیده [English]

Mixing is one of the first and necessary steps in the industrial process of rubber production. The main purpose of mixing involves combining materials, adding energy to break the molecular bonds, and combining materials with air. Executive operation is effective in the mixing quality. The present research is on the non-isothermal simulation of mixing in a Banbury mixer. Three-dimensional numerical studies, using computational fluid dynamics, have been carried out in order to use different operational parameters. The movement of the surfaces in the calculations has been considered through the sliding mesh technique, and the fluid volume method has been used in the Eulerian approach to track the interface between the rubber phase and air. The carreau-Yasuda non-Newtonian viscosity model, along with an Arrhenius formula, has been used to determine the temperature-dependent viscosity of rubber. The results of this research show that the high viscosity of rubber becomes viscous when heated. This phenomenon is especially in the narrow area between the tip of the rotor and the wall, where there is a higher shear, and this factor affects the viscosity and flow characteristics of the rubber.

کلیدواژه‌ها [English]

  • mixing
  • computational fluid dynamics
  • viscous heating
  • rubber
  • banbury

مراجع

  1. Threadingham, D., Obrecht, W., Lambert, J., Happ, M., Oppenheimer-Stix, C., Dunn, J., Krüger, R., Brandt, H. D., Nentwig, W. and Rooney, N., “Rubber, 3. Synthetic” Ullmann’s encyclopedia of industrial chemistry, 2000.
  2. Agrawal, A. A., and Hastings, A. P., “Plant Defense by Latex: Ecological Genetics of Inducibility in the Milkweeds and a General Review of Mechanisms, Evolution, and Implications for Agriculture”, Journal of Chemical Ecology, 45, No. 11-12, pp. 1004-1018, 2019.
  3. Tadmor, Z., and Gogos, C. G., Principles of Polymer Processing, John Wiley & Sons, 2006.
  4. Schobeiri, M. T., Fluid Mechanics for Engineers: A Graduate Textbook, Springer Science & Business Media, 2010.
  5. Vajravelu, K., and Hadjinicolaou, A., “Heat Transfer in a Viscous Fluid Over a Stretching Sheet with Viscous Dissipation and Internal Heat Generation”, International Communications in Heat and Mass Transfer, 20, No. 3, pp. 417-430, 1993.
  6. Malkin, A. Y., Baranov, A., and Balinov, A., “Modeling Non-Isothermal Mixing in a Rotor Mixer”, International Polymer Processing, 14, No. 2, pp. 115-121, 1999.
  7. Alsteens, B., Avalosse, T., Legat, V., Marchal, T., and Slachmuylders, E., “Effect of the Full-Slip Condition along Rotors on the Mixing Efficiency of Internal Mixers”, in ANTEC 2003 Conference Proceedings, 2003, pp. 173-177.
  8. Cheng, J. J., and Manas‐Zloczower, I., “Hydrodynamic Analysis of a Banbury Mixer 2‐D Flow Simulations for the Entire Mixing Chamber”, Polymer Engineering & Science, 29, No. 15, pp. 1059-1065, 1989.
  9. Das, S. R., Dhakal, , Poudyal, H., and Chandy, A. J., “Assessment of the Effect of Speed Ratios in Numerical Simulations of Highly Viscous Rubber Mixing in a Partially Filled Chamber”, Rubber Chemistry and Technology, Vol. 89, No. 3, pp. 371-391, 2016.
  10. Dhakal, P., Das, S. R., and Chandy, A. J., “Investigation of Fill Factor in Two-Wing Rotor Mixing of Rubber by Using Computational Fluid Dynamics”, Tire Science And Technology, 45, No. 2, pp. 144-160, 2017.
  11. Das, S., Poudyal, H., and Chandy, A., “Numerical Investigation of Effect of Rotor Phase Angle in Partially-Filled Rubber Mixing”, International Polymer Processing, 32, No. 3, pp. 343-354, 2017.
  12. Nortey, N. O., “Internal Batch Mixing Machines with Non-Intermeshing Rotors of Increased Performance”, ed: Google Patents, 1988.
  13. Cotton, G. R., “Mixing of Carbon Black with Rubber I. Measurement of Dispersion Rate by Changes in Mixing Torque”, Rubber Chemistry and Technology, 57, No. 1, pp. 118-133, 1984.
  14. Kim, J. K., and White, J. L., “An Experimental and Theoretical Study of Starvation Effects on Flow and Mixing Elastomers in an Internal Mixer”, Nihon Reoroji Gakkaishi, 17, No. 4, pp. 203-210, 1989.
  15. Toh, M., Gondoh, T., Mori, T., and Mishima, M., “Mixing Characteristics of an Internal Mixer: Uniformity of Mixed Rubber”, Journal of Applied Polymer Science, 95, No. 1, pp. 166-172, 2005.
  16. Limper, A., and Hesse, M., “Investigation of Rotor Blades and the Geometrical Effects on the Flow Behavior in Internal Mixer”, in European Rubber Research-Practical Improvements of the Mixing Process: SATPRO, ROTOR and Dust Stop: International Conference, 2005.
  17. Collin, V., Peuvrel-Disdier, E., Alsteens, B., Legat, V., Avalosse, T., Otto, S., and Metwally, H., “Numerical and Experimental Study of Dispersive Mixing of Agglomerates”, in Society of Plastics Engineers Annual Technical Conference 2006, ANTEC 2006, 2006, Vol. 2, pp. Pages 908-912: Society of Plastics Engineers.
  18. Salahudeen, S. A., AlOthman, O., Elleithy, R. H., Al‐Zahrani, S., and Rahmat, A. R. B., “Optimization of Rotor Speed Based on Stretching, Efficiency, and Viscous Heating in Non-Intermeshing Internal Batch Mixer: Simulation and Experimental Verification”, Journal of Applied Polymer Science, 127, No. 4, pp. 2739-2748, 2013.
  19. Cheng, J. and Manas-Zloczower, I., “Flow Field Characterization in a Banbury Mixer”, International Polymer Processing, 5, No. 3, pp. 178-183, 1990.
  20. Nassehi, V., and Ghoreishy, M., “Modeling of Mixing in Internal Mixers with Long Blade Tips”, Advances in Polymer Technology: Journal of the Polymer Processing Institute, 20, No. 2, pp. 132-145, 2001.
  21. Bai, Y., Sundararaj, U., and Nandakumar, K., “Non-Isothermal Modeling of Heat Transfer Inside an Internal Batch Mixer”, AIChE Journal, 57, No. 10, pp. 2657-2669, 2011.
  22. Ahmed, I., “Non-Isothermal Numerical Investigations of the Effect of Speed Ratio and Fill Factor in an Internal Mixer for Tire Manufacturing Process”, University of Akron, 2018.
  23. Das, S. R., “Investigation of Design and Operating Parameters in Partially-Filled Rubber Mixing Simulations”, University of Akron, 2016.
  24. Wu, S., “Calculation of Interfacial Tension in Polymer Systems”, in Journal of Polymer Science Part C: Polymer Symposia, 1971, Vol. 34, No. 1, pp. 19-30: Wiley Online Library.
  25. Vingaard, M., Endelt, B. Ø., and de Claville Christiansen, J., “Implementation of a Material Model with Shear Rate and Temperature Dependent Viscosity”, in Proceedings of 6th European LS-DYNA User’s Conference, 2007, pp. 5.213-5.222.
  26. Ahmed, I. and Chandy, A. J., “3D Numerical Investigations of the Effect of Fill Factor on Dispersive and Distributive Mixing of Rubber under Non‐Isothermal Conditions”, Polymer Engineering & Science, 59, No. 3, pp. 535-546, 2019.
  27. Osswald, T. A. and Hernández-Ortiz, J. P., “Polymer Processing”, Modeling and Simulation. Munich: Hanser, 1-651, 2006.
  28. Schwaab, M. and Pinto, J. C., “Optimum Reference Temperature for Reparameterization of the Arrhenius Equation, Part 1: Problems Involving one Kinetic Constant”, Chemical Engineering Science, 62, No. 10, pp. 2750-2764, 2007.
  29. White, F. M. and Majdalani, J., Viscous Fluid Flow, McGraw-Hill, New York, 2006.
  30. Liu, J., Li, F., Zhang, L., and Yang, H., “Numerical Simulation of Flow of Rubber Compounds in Partially Filled Internal Mixer”, Journal of Applied Polymer Science, 132, No. 35, 2015.
  31. Peric, M. and Ferguson, S., “The Advantage of Polyhedral Meshes”, Dynamics, 24, No. 45, p. 504, 2005.
  32. Wu, S., “Calculation of Interfacial Tension in Polymer Systems”, in Journal of Polymer Science Part C: Polymer Symposia, 1971, Vol. 34, No. 1, pp. 19-30, Wiley Online Library.
  33. Muzaferija, S., “A Two-Fluid Navier-Stokes Solver to Simulate Water Entry”, in Proceedings of 22nd Symposium on Naval Architecture, 1999, 1999, pp. 638-651, National Academy Press.
  34. Brackbill, J. U., Kothe, D. B., and Zemach, C., “A Continuum Method for Modeling Surface Tension”, Journal of Computational Physics, 100, No. 2, pp. 335-354, 1992.
  35. Poudyal, H., “Non-Isothermal Simulations of Partially-Filled Rubber Mixing for Tire Manufacturing Processes”, University of Akron, 2018.  

فایل ها

هم رسانی

ارجاع به این مقاله

آمار

تحت نظارت وف ایرانی