...
首页> 外文期刊>Computational thermal sciences >A NUMERICAL METHOD FOR THREE-DIMENSIONAL PARABOLIC FLOW AND HEAT TRANSFER IN STRAIGHT DUCTS OF IRREGULAR CROSS SECTION
【24h】

A NUMERICAL METHOD FOR THREE-DIMENSIONAL PARABOLIC FLOW AND HEAT TRANSFER IN STRAIGHT DUCTS OF IRREGULAR CROSS SECTION

机译:不规则截面直管中三维抛物线流动和传热的数值方法

获取原文
获取原文并翻译 | 示例
           

摘要

In the proposed method, a step-by-step marching procedure in the axial direction is used to solve the problems of interest from the inlet to the exit planes of the ducts. In each step or slice, the following formulation is used: the slice is first discretized into six-node prism-shaped elements of triangular cross section, and then each set of corresponding upstream and downstream nodes are associated with prism-shaped control volumes of polygonal cross section. The dependent variables are stored at the same nodes (colocated) and interpolated using equal-order element-based functions. Algebraic approximations to integral mass, momentum, and energy conservation equations for each of the prism-shaped control volumes are then derived using the aforementioned interpolation functions, and the resulting discretized equations are solved using an adaptation of a sequential iterative variable adjustment scheme. This formulation provides the following novel capabilities compared to those of earlier numerical methods for the solution of three-dimensional parabolic problems: it is applicable to ducts of irregular- and regular-shaped cross section; and for any axial step size, the solution is independent of the sequence in which the dependent variables are solved. A novel automatic axial step-size selection procedure is also proposed for problems in which the dependent variables vary monotonically in the axial direction. The validity of the proposed method is established by applying it to developing laminar forced convection in a straight duct of square cross section and comparing the results to those available in the literature.
机译:在提出的方法中,沿轴向的逐步进行过程用于解决从管道的入口平面到出口平面的关注问题。在每个步骤或切片中,使用以下公式:将切片首先离散为六边形截面为三角形的六节点棱柱形元素,然后将每组相应的上游和下游节点与多边形的棱柱形控制体积关联横截面。因变量存储在相同的节点上(位于同一位置),并使用基于等阶元素的函数进行插值。然后,使用上述插值函数推导每个棱镜形控制体积的积分质量,动量和能量守恒方程的代数近似值,并使用顺序迭代变量调整方案进行求解来求解离散化方程。与较早的数值方法相比,该公式提供了以下新颖的功能来解决三维抛物线问题:适用于横截面不规则和规则的管道;对于任何轴向步长,求解都与求解因变量的顺序无关。对于因变量在轴向上单调变化的问题,还提出了一种新颖的轴向步长自动选择程序。通过将其应用于在正方形横截面的直管中进行层流强迫对流并将结果与​​文献中的结果进行比较,可以确定该方法的有效性。

著录项

相似文献

  • 外文文献
  • 中文文献
  • 专利
获取原文

客服邮箱:kefu@zhangqiaokeyan.com

京公网安备:11010802029741号 ICP备案号:京ICP备15016152号-6 六维联合信息科技 (北京) 有限公司©版权所有
  • 客服微信

  • 服务号