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首页> 外文期刊>International Journal of Heat and Mass Transfer >MHD free convection within trapezoidal cavity with non-uniformly heated bottom wall
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MHD free convection within trapezoidal cavity with non-uniformly heated bottom wall

机译：底部不均匀加热的梯形腔内的MHD自由对流

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摘要

The paper is connected to investigate numerical simulation of two-dimensional laminar steady-state on MHD free convection within trapezoidal cavity with non-uniformly heated bottom wall. The cavity consists of non-uniformly heated bottom wall, insulated top wall and isothermal side walls with inclination angles (φ). Heat flow patterns in the presence of free convection within trapezoidal enclosures have been analyzed with heatlines concept. The fluid is concerned for the wide range of Rayleigh number (Ra) from 103 to 107 and Prandtl number (Pr) from 0.026, 0.7, 1000 with various tilt angles # = 45°, 30° and 0° (square). The physical problems are represented by non-dimensional governing equations along with the corresponding boundary conditions and discretized by using Galerkin weighted residual method of finite element formulation. Results are presented in terms of streamlines, isotherms, local Nusselt number along distance and average Nusselt number along Rayleigh number, Ra for non-uniform heating of the bottom wall, governing parameters namely, Prandtl number Pr, and at the three values of Rayleigh number Ra, varying from 10~3 to 10~7, covering free convection dominated regimes. It is shown that the average and local Nusselt number at the non-uniform heating of bottom wall of the cavity is depending on the dimensionless parameters and also tilts angles.
机译：本文旨在研究具有不均匀加热底壁的梯形腔内MHD自由对流的二维层流稳态数值模拟。空腔由加热不均匀的底壁，隔热的顶壁和等温侧壁组成，其倾斜角为（φ）。使用热线概念分析了梯形外壳内自由对流情况下的热流模式。该流体涉及瑞利数（Ra）从103到107的宽范围以及普兰特数（Pr）从0.026、0.7、1000的宽范围变化，其中各种倾斜角度＃= 45°，30°和0°（平方）。物理问题由无量纲控制方程表示，并带有相应的边界条件，并通过有限元公式化的Galerkin加权残差法离散化。结果以流线，等温线，沿距离的局部Nusselt数和沿Rayleigh数的平均Nusselt数，底壁加热不均匀的Ra，控制参数Prandtl数Pr和Rayleigh数的三个值表示Ra介于10〜3到10〜7之间，涵盖自由对流为主的区域。结果表明，腔底壁受热不均匀时的平均努氏数和局部努塞尔数取决于无因次参数，也取决于倾角。

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