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مدلسازی جابه جایی آزاد نانوسیال اکسید آلومینیم-آب درون محفظه مربعی منحنی با استفاده از روش شبکه ای بولتزمن | ||
| نشریه مهندسی مکانیک امیرکبیر | ||
| مقاله 12، دوره 49، شماره 3، آبان 1396، صفحه 567-580 اصل مقاله (1.72 M) | ||
| نوع مقاله: مقاله پژوهشی | ||
| شناسه دیجیتال (DOI): 10.22060/mej.2016.794 | ||
| نویسندگان | ||
| مهدی حسینی آبادشاپوری؛ محمدحسن سعیدی* | ||
| دانشکده مهندسی مکانیک، دانشگاه صنعتی شریف، تهران، ایران | ||
| چکیده | ||
| در پژوهش حاضر جابجایی آزاد نانوسیال آب و اکسید آلومینیم در یک محفظه مربعی با مرزهای منحنی در قسمت بالا و پایین محفظه، به روش شبکهای بولتزمن مورد مطالعه قرار گرفته است. برای حل معادلات سرعت و دما از روش نه سرعته (D2Q9) استفاده شده است. همچنین برای بررسی تاثیر اندازه نانوذرات بر عدد ناسلت متوسط جریان، از روش دو جزیی استفاده شده است و برای هر جز (آب و نانوذرات) معادلات جداگانهای حل شده است. دو نیروی بویانسی و پسا برای کوپل کردن معادلات دو جزء در نظر گرفته شده است. در این پژوهش، عدد رایلی از 103 تا 106 متغیر است در حالی که اندازه نانوذرات سه مقدار مختلف 20، 50 و 100 نانومتر را می پذیرد. کسر حجمی نانوذرات بین 0 تا 5 درصد متغیر می باشد. نتایج نشان می دهد که نقش نانوذرات در افزایش عدد ناسلت متوسط جریان به صورت افزایش عدد رایلی موثر جریان در کانتورهای دما و جریان قابل مشاهده میباشد. همچنین با استفاده از روش دو جزیی، امکان تحلیل عددی تاثیر اندازه نانوذرات بر روی عدد ناسلت متوسط جریان حاصل میگردد. نتایج حاکی از آن است که اندازه نانوذرات تاثیر معکوسی بر روی عدد ناسلت جریان دارد. در انتها، براساس نتایج به دست آمده از مدلسازی، رابطه ای برای پیش بینی عدد ناسلت متوسط نانوسیال وابسته به عدد رایلی، کسر حجمی نانوذرات و اندازه نانوذرات ارائه شده است. | ||
| کلیدواژهها | ||
| جابجایی آزاد؛ نانوسیال؛ روش شبکه ای بولتزمن؛ عدد ناسلت متوسط؛ مرز منحنی | ||
| عنوان مقاله [English] | ||
| Al2O3-water Nanofluid in a Square Cavity with Curved Boundaries | ||
| نویسندگان [English] | ||
| M. Hosseini Abadshapoori؛ M. H. Saidi | ||
| Mechanical Engineering, Center of Excellence in Energy Conversion (CEEC), Sharif University of Technology, Tehran, Iran | ||
| چکیده [English] | ||
| In this research, natural convection of Al2O3-water nanofluid in a square cavity with top and bottom curved boundaries has been investigated using lattice Boltzmann method. A D2Q9 single relaxation time model has been used for both the hydrodynamic and thermal equations. Furthermore, in order to study the effect of nanoparticle size on the average Nusselt number, a two-component model has been used and two separate equations (one for each component) have been solved. Drag and buoyancy forces are included for coupling of these equations. Rayleigh number has been varied from 103 to 106 while volume fraction of nanoparticles is selected between 0 to 0.05 (six values including pure water). Three nanoparticle sizes, namely 20, 50 and 100nm, have been used in our simulations. Results show that the main factor for controlling the effectiveness of average Nusselt number of nanofluids compared to the base fluid is the volume fraction of nanoparticles. Results also reveal that nanoparticle size has a deteriorating effect on the Nusselt number enhancement of nanofluid. Effect of utilizing nanoparticles on the temperature and velocity contours are presented and showed that the effect of nanoparticles can be seen in increasing the effective Rayleigh number of the flow. A correlation is then presented to predict the average Nusselt number of Al2O3-water nanofluid in the investigated criteria for Rayleigh number, volume fraction and size of nanoparticles. | ||
| کلیدواژهها [English] | ||
| Natural convection, Nanofluid, Lattice Boltzmann method, Average Nusselt Number, Curved Boundary | ||
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| مراجع | ||
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