شبیه سازی عددی انتقال حرارت جابجایی آزاد در یک آنولی افقی با حرارت دهی گسسته با استفاده از روش لاتیس بولتزمن بدون شبکه

نوع مقاله: مقاله پژوهشی

نویسندگان

1 گروه مهندسی مکانیک، دانشگاه صنعتی ارومیه

2 گروه ریاضی کاربردی، دانشگاه صنعتی ارومیه

چکیده

مطالعه حاضر به بررسی انتقال حرارت جابجایی آزاد در یک آنولی استوانه‌ای افقی با حرارت دهی گسسته با استفاده از روش لاتیس بولتزمن بدون شبکه می‌پردازد. روش لاتیس بولتزمن، بعنوان یک روش جایگزین روشهای دینامیک سیالات محاسباتی متداول برای شبیه سازی جریان‌های پیچیده در آمده است. از مزایای مهم این روش، صریح بودن معادله حاکم، سادگی اعمال آن برای محاسبات موازی و نیز سادگی اعمال شرایط مرزی برای مرزهای منحنی‌ وار است. با وجود قابلیت‌های خوب روش شبکه بولتزمن استاندارد برای شبکه‌های یکنواخت، نمی‌توان آن را به طور مستقیم برای هندسه‌های پیچیده و شبکه‌های غیر یکنواخت بکار برد. یک روش مؤثر برای رفع این محدودیت، روش شبکه بولتزمن بر مبنای بسط سری تیلور و روش حداقل مربعات (TLLBM) است. شکل نهایی فرمولاسیون این روش یک معادله جبری است و هیچ محدودیتی روی ساختار شبکه ندارد. همچنین این روش را می‌توان برای مدل‌های مختلف سرعت ذره به کار برد. در کار حاضر، از این روش با مدل شبکه D2Q9 برای شبیه سازی انتقال حرارت جابجایی آزاد در یک آنولی استوانه‌ای افقی با حرارت دهی گسسته استفاده می شود و تأثیر عدد رایلی و آرایش‌های مختلف دو جفت چشمه- چاه حرارتی روی نرخ انتقال حرارت بررسی می‌گردد.
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کلیدواژه‌ها

موضوعات


عنوان مقاله [English]

Numerical simulation of natural convection heat transfer in a horizontal annulus with discrete heating using mesh-free lattice-Boltzmann method

نویسندگان [English]

  • Abdolrahman Dadvand 1
  • Ahmad Haghighi 2
  • Hamideh Hoseini Ghejlo 2
1 Department of Mechanical Engineering, Urmia University of Technology
2 Department of Mathematics, Urmia University of Technology
چکیده [English]

This study investigates the natural convection heat transfer in a horizontal annulus with discrete heating using a mesh-free lattice Boltzmann method. The lattice Boltzmann method has become an alternative to the conventional computational fluid dynamics methods for simulation of complex fluid flows. The major advantages of the lattice Boltzmann method are the explicit feature of the governing equation, easy for parallel computation, and simple implementation of boundary conditions on curved boundaries. Despite well viability of standard LBM for the uniform mesh, it cannot be directly applied to problems with complex geometry and non-uniform mesh. An efficient method for removing this limitation is to use Taylor series expansion and least squares-based LBM (TLLBM). The final form of the TLLBM is an algebraic formulation with no limitation on the mesh structure. This method can also be applied to any lattice velocity model. In the present work, the TLLBM with D2Q9 lattice model is used to simulate natural convection heat transfer in a horizontal annulus with discrete heating. The effects of Rayleigh number and different arrangement of two heat source-sink pairs on the fluid flow and heat transfer characteristics are investigated.

کلیدواژه‌ها [English]

  • Natural convection
  • Discrete heating
  • Rayleigh number
  • Horizontal annulus
  • Mesh-free lattice-Boltzmann method
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