حل عددی انتقال حرارت نانوسیالات در میکروکانال موجی‌شکل به روش پخش

نوع مقاله : مقاله پژوهشی

نویسندگان

1 دانشکده فنی و مهندسی، دانشگاه رازی، کرمانشاه، ایران

2 دانشکده مهندسی مکانیک، دانشگاه صنعتی امیرکبیر، تهران، ایران

چکیده

در این مقاله انتقال حرارت مزدوج نانوسیالات در میکروکانال­ های موجی­شکل با استفاده از مدل تکفازی به روش پخش و مدل دوفازی به روش اویلری-لاگرانژی بصورت عددی مطالعه شده است. سیال پایه آب و نانوذرات از دو جنس مختلف اکسید آلومینیوم و مس می­ باشند. غلظت حجمی نانوذرات تا 2% و قطر آنها از 100 تا 150 نانومتر تغئیر می­کند. معادلات سه ­بعدی حاکم شامل پیوستگی، ممنتوم و انرژی در سیال از دیدگاه اویلری و به روش حجم کنترل (سیمپل) حل شده ­اند. معادلات حاکم بر حرکت و انرژی ذرات نیز به روش لاگرانژی جداسازی و به روش رنگ-کوتای مرتبه 4 حل شده ­اند. از آنجا که در روش لاگرانژی معادلات حرکت در سه بعد و معادله انرژی برای تک تک ذرات حل می ­شود، از روش پردازش موازی و با استفاده از ابرکامپیوتر این معادلات حل شده ­اند. معادلات حاکم در روش پخش از تئوری محیط متخلخل استخراج شده ­اند. عدم توزیع یکنواخت ذرات در ناحیه حل باعث اختلاف نتایج روش تکفازی و دوفازی می­ شود. این اختلاف در روش پخش با انطباق نتایج حاصل از آن با نتایج دوفازی تاحد زیادی کاهش می­یابد. در پایان برای هر دونوع نانوسیال روابطی جهت محاسبه ضریب هدایت حرارتی ارائه شده است.

کلیدواژه‌ها

موضوعات

عنوان مقاله [English]

Numerical Heat Transfer by Nanofluids in a wavy walls Microchannel using Dispersion Method

نویسندگان [English]

  • Javad Rostami 1
  • Abbas Abbassi 2
  • Majid Saffar-Avval 2
1 Department of Mechanical Engineering, Razi University
2 Department of mechanical engineering, Amirkabir University of Technology
چکیده [English]

In this paper, conjugate heat transfer in wavy microchannels filled with nanofluid is studied numerically. To simulate the nanofluids, dispersion and homogeneous methods in single-phase model and Eulerian-Lagrangian method in two-phase model are used. Homogeneous method underestimates the experimental results. Then, nanofluid simulated by two-phase model using an Eulerian-Lagrangian approach. Then its results are used to find the unknown parameter in the conduction relation of nanofluid in dispersion method. Nanofluids are water-Cu or water-Al2O3 suspensions with a particle diameter of 100-150nm and a volume fraction of up to 2%. The three-dimensional governing equations including continuity, Navier-Stokes and energy equations are solved by the well-known SIMPLE method. The governing equations for particles are solved by a 4th order Runge-Kutta algorithm. due to the 3-D governing equation four equations includinf velocity components and energy should be solved for all particles. The computer program has been written in parallel processing method (MPI). Then a super computer with several CPU,s should be used. Using dispersion method is as simple as homogeneous method but has accuracy as two-phase Eulerian-Lagrangian method.

کلیدواژه‌ها [English]

  • "Nanofluid"
  • "one phase model"
  • "dispersion method"
  • "two-phase model"
  • "Eulerian-Lagrangian"

مراجع

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نشریه مهندسی مکانیک امیرکبیر
دوره 51، شماره 4
مهر و آبان 1398
صفحه 121-130

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