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Numerical Assessment and Data-Driven Reduced Order Model for Natural Convection of Water-Copper Nanofluid in Porous Media | ||
Journal of Heat and Mass Transfer Research | ||
دوره 10، شماره 1 - شماره پیاپی 19، شهریور 2023، صفحه 87-100 اصل مقاله (1.32 M) | ||
نوع مقاله: Full Length Research Article | ||
شناسه دیجیتال (DOI): 10.22075/jhmtr.2023.30302.1435 | ||
نویسنده | ||
Mohammad Kazem Moayyedi* 1، 2 | ||
1CFD, Turbulence, and Combustion Research Laboratory, Department of Mechanical Engineering, University of Qom, Iran. | ||
2Institute of Aerospace Studies, University of Qom, Iran | ||
تاریخ دریافت: 20 فروردین 1402، تاریخ بازنگری: 07 شهریور 1402، تاریخ پذیرش: 10 شهریور 1402 | ||
چکیده | ||
In this article, two computational frameworks are presented for the numerical simulation of flow and heat transfer under the effects of natural convection phenomena in a field containing water-copper Nano-fluid and including porous media. The first is a CFD model which is built based on accurate algorithms for spatial derivatives and time integration. The spatial derivatives have been calculated using first-order upwind and second-order central differencing approaches. Also, time integration is performed using the fourth-order Runge-Kutta method. In the second, a parametric reduced order model is developed to compute the whole flow field under the effects of some important parameters such as Darcy number and Rayleigh number. This model is constructed based on POD-snapshots method. The POD modes are calculated by the solution of an eigenvalues problem. The calculated eigenfunctions are POD modes which are ranked using energy-based criteria based on the total kinetic energy of the flow field. This approach leads to the development of a reduced-order model that can be used as a surrogate model of the CFD high-order approach. The results obtained from the reduced order model show relatively good agreements under variations of some important parameters such as Darcy and Rayleigh numbers and nanoparticles density on the flow and thermal fields with the benchmark DNS data. Also, from the results, it is concluded that the surrogate model has very small values of errors (order of 10-4 ~ 10-6) and the time spent on calculations is less than 10% of the time required for direct numerical simulation. | ||
کلیدواژهها | ||
Natural convection؛ Nano-fluid؛ Porous media؛ Model order reduction | ||
عنوان مقاله [English] | ||
شبیه سازی عددی و مدل رتبه کاسته داده محور برای جابجایی طبیعی نانو سیال آب - مس در محیط متخلخل | ||
چکیده [English] | ||
در این پژوهش دو الگوی محاسباتی برای شبیهسازی عددی جریان و انتقال حرارت تحت تأثیر جابجایی طبیعی در میدانی حاوی نانوسیال آب-مس و شامل محیط متخلخل ارائه شدهاست. الگوی اول یک مدل دینامیک سیالات محاسباتی است که با استفاده از الگوریتمهای دقیق برای مشتقات مکانی و زمانی توسعه یافتهاست. مشتقات مکانی با استفاده از روشهای جداسازی بالادست مرتبه اول و تفاضل مرکزی مرتبه دوم محاسبه شدهاند. همچنین انتگرالگیری زمانی با استفاده از روش رانگ-کوتا مرتبه چهارم انجام شدهاست. در الگوی دوم، یک مدل رتبهکاسته پارامتری برای شبیهسازی میدان جریان تحت تأثیر برخی پارامترهای مهم مانند عدد دارسی و عدد رایلی توسعه داده شدهاست. این مدل بر اساس روش تجزیه متعامد بهینه - نمایه توسعه یافتهاست. مودهای تجزیه متعامد بهینه با حل یک مسئله مقادیر ویژه محاسبه میشوند. توابع ویژه محاسبهشده مودهای تجزیه متعامد بهینه هستند که با استفاده از معیار انرژی جنبشی کل میدان جریان رتبهبندی میشوند. این رویکرد منجر به توسعه یک مدل رتبهکاسته میشود که می تواند به عنوان مدل جایگزین رویکرد با دقت بالا مبتنی بر دینامیک سیالات محاسباتی استفاده شود. نتایج حاصل از مدل رتبهکاسته تطابق نسبتاً خوبی را تحت تغییرات برخی از پارامترهای مهم مانند اعداد دارسی و رایلی و چگالی نانوذرات، در میدان جریان و دما با دادههای مرجع حاصل از شبیهساز عددی مستقیم نشان میدهد. همچنین از دادههای بدست آمده، این نتیجه حاصل می شود که مدل جایگزین دارای مقادیر بسیار کمی از خطا است و زمان صرف شده برای محاسبات کمتر از 10 درصد زمان مورد نیاز برای شبیه سازی عددی است. | ||
کلیدواژهها [English] | ||
جابجایی طبیعی, نانو سیال, محیط متخلخل, مدل رتبه کاسته | ||
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