مقایسه مدل‌های همگن و بونجورنو با مدل اویلری-لاگرانژی در انتقال حرارت نانوسیالات در یک میکروکانال

نوع مقاله : مقاله پژوهشی

نویسنده

دانشگاه رازی

چکیده

در این مقاله انتقال حرارت نانوسیالات در یک میکروکانال با استفاده از مدل یکفازی به روش همگن و مدل دوفازی به روش بونجورنو به‌صورت عددی حل و با نتایج مدل اویلری-لاگرانژی به عنوان یک روش دقیق، مقایسه شده است. سیال پایه آب و نانوذرات از دو جنس اکسید آلومینیوم و مس هستند. غلظت حجمی نانوذرات تا 2% و قطر آن‌ها 100 نانومتر و برای پرهیز از افت فشار زیاد در میکروکانال، رژیم جریان آرام و محدوده عدد رینولدز از 250 تا 1000 است. معادلات حاکم شامل پیوستگی، ممنتوم و انرژی به روش حجم کنترل حل شده‌اند. برای حل معادلات ممنتوم از روش سیمپل استفاده شده است. نتایج نشان می‌دهند که حداکثر اختلاف نتایج مدل یک‌فازی همگن با نتایج مدل دوفازی اویلری-لاگرانژی برای نانوسیال آب-اکسد آلومینیوم در رینولدز 1000 و غلظت 2% اتفاق می‌افتد و برابر با 7/33 درصد و برای نانوسیال آب-مس در رینولدز 250 و غلظت 1% اتفاق می‌افتد و 6/6 درصد است. همچنین حداکثر اختلاف نتایج مدل بونجورنو با نتایج مدل اویلری-لاگرانژی برای نانوسیال آب-اکسید آلومینیوم در رینولدز 250 و غلظت 2% اتفاق می‌افتد و برابر با 3 درصد و برای نانوسیال آب-مس در رینولدز 1000 و غلظت 2% اتفاق می‌افتد و 2/09 درصد است. به این ترتیب با مدل بونجورنو می‌توان با حداکثر 3% خطا به نتایج روش دقیق اویلری-لاگرانژی دست یافت بدون آنکه به برنامه‌نویسی به روش پردازش موازی و امکاناتی مانند ابرکامپیوتر نیاز باشد.

کلیدواژه‌ها

عنوان مقاله [English]

Comparison of Homogenous and Buongiorno’ Model with Eulerian-Lagrangian Model for Nanofluids Heat Transfer in a Microchannel

نویسنده [English]

  • Javad Rostami
چکیده [English]

In this paper, nanofluid heat transfer in a microchannel has been studied using homogenous and Buongiorno’s models, and compared with Eulerian-Lagrangian model. The base fluid is water and the particles are Al2O3 and Cu with a diameter of 100nm. The volume fraction is up to 2% and Reynolds number is in the range of 250-1000. The governing equations including continuity, momentum and energy, have been solved using a control volume method (SIMPLE). The results show that for Water-Al2O3, the maximum difference between the homogeneous model and the Eulerian-Lagrangian model is 7.5%, and for Buongiorno’s model is 3%. It can be concluded that the Buongiorno’s model has an acceptable accuracy in results, and is simple enough to be used. On the other hand, unlike the Eulerian-Lagrangian, Buongiorno’s model doesn’t need the parallel processing and super computers, and is a good model to predict heat transfer of nanofluids.

کلیدواژه‌ها [English]

  • Nanofluid
  • Homogeneous one-phase model
  • Buongiorno’s two-phase model
  • Eulerian-Lagrangian two-phase model

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