استفاده از روش شبکه بولتزمن با زمان آسایش چندگانه در شبیه‌سازی جابجایی طبیعی سیال نیوتنی و غیرنیوتنی با میدان مغناطیسی

نوع مقاله : مقاله پژوهشی

نویسندگان

1 دانشکده مهندسی مکانیک، دانشگاه یزد

2 دانشکده مهندسی مکانیک دانشگاه یزد

چکیده

هدف از مطالعه پیش رو، بررسی اثر جهت اعمال میدان مغناطیسی به دو صورت یکنواخت و غیریکنواخت بر انتقال حرارت سیال نیوتنی و غیرنیوتنی با مدل توانی با استفاده از روش شبکه بولتزمن با زمان آسایش چندگانه است. شبیه­سازی با نوشتن کد رایانه­ای به زبان فرترن صورت پذیرفته است. جابجایی طبیعی درون محفظه­ای دو بعدی حاوی مانع لوزی شکل ایجاد می­شود که این مانع در سه حالت دمایی مختلف بررسی می­شود. دیواره سرد محفظه در سه شکل صاف، منحنی و مورب ارزیابی می­شود. نتایج نشان می­دهد، افزایش عدد رایلی و کاهش شاخص توانی و عدد هارتمن سبب افزایش قدرت جریان و میزان انتقال حرارت می­شود. طراحی دیواره به‌ صورت صاف به‌طور میانگین در حدود 70 درصد قدرت جریان و ۳۰ درصد انتقال حرارت را افزایش می­دهد. قرارگیری مانع در دمای ثابت سرد به‌طور متوسط سبب افزایش ۲۰ درصدی عدد ناسلت متوسط می­شود. اثر میدان مغناطیسی برای دیواره صاف بیشترین و برای دیواره مورب کمترین است و این اثر با افزایش شاخص توانی کاهش می­یابد. در حالت کلی، غیریکنواخت اعمال کردن میدان مغناطیسی در حدود 10 درصد عدد ناسلت متوسط را افزایش می­دهد و منجر به افزایش قدرت جریان می­شود. نتایج نشان می­دهد تأثیر شکل دیواره و نوع اعمال میدان مغناطیسی برای سیال ضخیم­شونده، ناچیز است. کاهش بیشتر قدرت جریان و عدد ناسلت متوسط با اعمال میدان مغناطیسی به‌صورت افقی مشاهده می­شود.

کلیدواژه‌ها

عنوان مقاله [English]

The Application of Multiple Relaxation Time Lattice Boltzmann Method to Simulate the Newtonian and Non-Newtonian MHD Natural Convection in Cavity with Lozenge Barrier

نویسندگان [English]

  • mohammad nemati 1
  • mohammad sefid 2
1 Department of Mechanical Engineering, Yazd University, Yazd, Iran
2 departmen of mechanical engineering
چکیده [English]

The purpose of this work is to investigate the effect of magnetic field direction on heat transfer of Newtonian and non-Newtonian fluids in both uniform and non-uniform forms, with the power-law model by using the multiple relaxation time lattice Boltzmann method (MRT-LBM) with written computer code by Fortran language. The natural convection is created in the two-dimensional cavity with lozenge barrier and is examined in three different temperature boundary conditions. The cold wall of the cavity is investigated in three modes: smooth, curved and diagonal. The results show that increasing the Rayleigh number and decreasing the power-law index and the Hatmann number increase the strength of fluid flow and heat transfer. The smooth design of the wall increases the average Nusselt number by about 30%. Placing the barrier at a constant cold temperature increases the average Nusselt number by 20% on average. The effect of the magnetic field is highest for the smooth wall and lowest for the diagonal wall and this effect decreases with increasing the power-law index. In general, an applied non-uniform magnetic field increases the average Nusselt number by about 10% and increases the flow strength. The effect of wall shape and type of magnetic field applied on shear thickening fluid is negligible. Further reduction of flow strength and average Nusselt number is observed by applying a magnetic field horizontally.

کلیدواژه‌ها [English]

  • Natural Convection
  • Non Uniform Magnetic Field
  • Power-law Fluids
  • Multiple Relaxation Time Lattice Boltzmann Method
  • Different Wall Shape
  • Various Thermal Boundary of Barrier

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فایل ها

سابقه مقاله

  • تاریخ دریافت: 30 خرداد 1399
  • تاریخ بازنگری: 12 تیر 1400
  • تاریخ پذیرش: 14 مهر 1400
  • تاریخ انتشار: 01 خرداد 1400

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