تحلیل شبکه بولتزمن همرفت مگنتوهيدروديناميك نانوسیال آب-گرافن در یک کانال پرشده با مواد متخلخل در شرايط عدم تعادل گرمايي محلی
محورهای موضوعی : یافته های نوین کاربردی و محاسباتی در سیستم های مکانیکی
مصطفی احمدی
1
,
ایمان زحمتکش
2
,
حمید رضا گشایشی
3
1 - گروه مکانیک دانشگاه آزاد اسلامی مشهد
2 - Islamic Azad University, Mashhad Branch
3 - گروه مکانیک دانشگاه ازاد اسلامی مشهد
کلید واژه: محيط متخلخل, عدم تعادل گرمايي محلی, همرفت واداشته, میدان مغناطیسی, روش شبکه بولتزمن,
چکیده مقاله :
این مقاله به شبیه‌سازی عددي همرفت واداشته مگنتوهيدروديناميك نانوسیال آب-گرافن در یک کانال پر شده با ماده متخلخل مي‍پردازد. بدین منظور، معادلات بي‍بعد دارسی– برینکمن- فورچهیمر در شرایط عدم‍تعادل گرمايي محلی در نظر گرفته می‌شوند و از طريق برنامه‍نويسي در نرم‍افزار فرترن حل مي‍شوند. شبیه‌سازی‌ها به روش شبکه بولتزمن گرمايي با زمان آسایش منفرد و با استفاده از سه تابع توزیع برای سرعت، دمای نانوسیال و دمای محيط متخلخل انجام میشود. در ادامه، اثر متغیرهای مختلف از قبیل عدد دارسی، ضريب تخلخل، کسرحجمی نانوذرات و عدد هارتمن بر روی عدد ناسلت میانگین و میزان عدم‍تعادل گرمايي محلی مورد بررسی قرار می‌گیرد. نتایج نشان می‌دهد كه با افزایش عدد دارسی، کسرحجمی نانوذرات و ضریب تخلخل يا كاهش عدد هارتمن، مقدار عدد ناسلت میانگین بيشتر مي‍شود. علاوه بر این مشخص میشود که عدم‍تعادل گرمايي محلی با عدد دارسی و ضریب تخلخل نسبت مستقیم و با عدد هارتمن و کسرحجمی نانوذرات نسبت عکس دارد.
This paper considers numerical simulation of MHD forced convection of Graphene-water nanofluid in a channel filled with porous media. To this aim, non-dimensional form of the Darcy-Brinkman-Forchheimer equations in non-equilibrium conditions are adopted and solved through programming in FORTRAN software. Simulations are undertaken according to the thermal lattice Boltzmann method with single relaxation time, adopting three distribution functions for velocity, nanofluid temperature, and temperature of the porous medium. Then, effects of different parameters including the Darcy number, the medium porosity, the nanoparticles fraction, and the Hartmann number on the Nusselt number and the local thermal-non-equilibrium are analyzed. The results show that with increase in the Darcy number, the nanoparticles fraction, and the medium porosity or decrease in the Hartmann number, the Nusselt number increases. It is also found that the local thermal-non-equilibrium has direct relation with the Darcy number and the medium porosity and inverse relation with the Hartmann number and the nanoparticles fraction.
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