روش مرز غوطه‌ور– شبکۀ بولتزمن برای شبیه‌سازی حرکت ذره در سیالات غیرنیوتنی

نوع مقاله : مقاله پژوهشی

نویسندگان

1 دانشگاه بجنورد

2 دانشگاه شاهرود

چکیده

در مطالعۀ حاضر روش ترکیبی مرزغوطه‌ور- شبکۀ بولتزمن غیرنیوتنی برای شبیه‌سازی نیروهای وارد بر ذره و هم‌چنین محاسبۀ سرعت حرکت ذره در مجاورت سیالات غیرنیوتنی مختلف، توسعه داده شده است. در این تحقیق، اثرات نیروی اضافی ناشی از وجود جرم شتابدار نیز در معادلات حرکت غیرنیوتنی ذره لحاظ شده‌اند. دو مسئلۀ کاربردی شامل جریان سیال غیرنیوتنی توانی از روی سیلندر ثابت با سطح مقطع مربعی و سقوط یک ذرۀ مربعی در سیالات غیرنیوتنی با خواص مختلف رقیق‌برشی و ضخیم‌برشی بررسی شده است. نتایج نشان می‌دهند که نیروی وارد بر سیلندر در حالت ثابت و سرعت حد ذره در حال سقوط با افزایش شاخص رفتار غیرنیوتنی توانی به‌ترتیب افزایش و کاهش قابل ملاحظه‌ای را تجربه خواهند نمود.

کلیدواژه‌ها

عنوان مقاله [English]

Simulation of Particle Motion in Non-Newtonian Fluids by Immersed Boundary Lattice Boltzmann Method

نویسندگان [English]

  • Amin Amiri Delouei 1
  • Mohammad Hassan Kayhani 2
  • Mohsen Nazari 2
1 University of Bojnord
2 University of Shahrood
چکیده [English]

In the current study, the immersed boundary – non-Newtonian lattice Boltzmann method is developed for simulation of forces act on a particle and also for computation of the particle velocity in vicinity of non-Newtonian fluids. In this research, the effect of extra force due to accelerated mass is also considered in non-Newtonian particle motion equations. Two applied problems of power-law non-Newtonian fluid flow over a stationary cylinder with square cross-section and a square falling particle in non-Newtonian fluids with different shear-thinning and shear-thickening behaviour are investigated. Results indicate that the force act on stationary cylinder and ultimate velocity of falling particle will experience considerable increase and decrease with growth of power-law non-Newtonian behaviour index, respectively.

کلیدواژه‌ها [English]

  • Immersed boundary method
  • Lattice Boltzmann method
  • Direct Numerical Simulation
  • Power-law non-Newtonian fluids
  • Square cross-section

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