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SYSTEMATIC DEVELOPMENT AND MESH SENSITIVITY ANALYSIS OF A MATHEMATICAL MODEL FOR AN ANODE BAKING FURNACE

机译:阳极焙烧炉数学模型的系统开发和网格敏感性分析

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The anode baking process is developed and improved since the 1980s due to its importance in Aluminium industry. The process is characterized by multiple physical phenomena including turbulent flow, combustion process, conjugate heat transfer, and radiation. In order to obtain an efficient process with regards to quality of anodes, soot-free combustion, reduction of NOx and minimization of energy, a mathematical model can be developed. A mathematical model describes the physical phenomena and provides a deeper understanding of the process. Turbulent flow is one of the important physical phenomena in an anode baking process. In the present work, isothermal turbulent flow is studied in detail with respect to two turbulence models in COMSOL Multiphysics software. The difference between wall boundary conditions for these models and their sensitivity towards the boundary layer mesh is investigated. A dimensionless distance in viscous scale units is used as a parameter for comparison of models with and without a boundary layer mesh. The investigation suggests that the boundary layer mesh for both turbulence models increase the accuracy of flow field near walls. Moreover, it is observed that along with the accuracy, the numerical convergence of Spalart-Allmaras turbulence model in COMSOL Multiphysics is highly sensitive to the boundary layer mesh. Therefore, development of converged Spalart-Allmaras model for the complete geometry is difficult due to the necessity of refined mesh. Whereas, the numerical convergence of k-e model in COMSOL Multiphysics is less sensitive to the dimensionless viscous scale unit distance. A converged solution of the complete geometry k-e model is feasible to obtain even with less refined mesh at the boundary. However, a comparison of a developed solution of k-e model with another simulation environment indicates differences which enhance the requirement of having converged Spalart-Allmaras model for complete geometry.
机译:自1980年代以来,由于其在铝工业中的重要性,阳极烘烤工艺得到了发展和改进。该过程的特征在于多种物理现象,包括湍流,燃烧过程,共轭传热和辐射。为了获得有关阳极质量,无烟燃烧,NOx还原和能量最小化的有效过程,可以开发一个数学模型。数学模型描述了物理现象,并提供了对该过程的更深入的了解。湍流是阳极烘烤过程中的重要物理现象之一。在本工作中,针对COMSOL Multiphysics软件中的两个湍流模型详细研究了等温湍流。研究了这些模型的壁边界条件及其对边界层网格的敏感性之间的差异。使用粘性标度单位的无量纲距离作为参数,用于比较具有边界层网格和不具有边界层网格的模型。研究表明,两种湍流模型的边界层网格都可以提高壁附近流场的精度。此外,观察到,随着精度的提高,COMSOL Multiphysics中Spalart-Allmaras湍流模型的数值收敛对边界层网格非常敏感。因此,由于需要细化网格,因此难以为完整的几何图形开发收敛的Spalart-Allmaras模型。而COMSOL Multiphysics中k-e模型的数值收敛对无量纲粘性标度单位距离较不敏感。完整几何k-e模型的收敛解是可行的,即使边界处的网格细化程度较低。但是,将已开发的k-e模型解决方案与另一个仿真环境进行比较表明,差异增加了对完整几何结构收敛Spalart-Allmaras模型的要求。

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