【作者】 许彬；

【导师】 张敏；

【作者基本信息】 南京理工大学 ， 流体力学， 2008， 硕士

【摘要】 结冰和融冰现象与我们的日常生产生活密切相关。从传热学的角度来看,结冰和融冰问题的实质是伴有相变的传热问题。对该现象的数值模拟已经成为近年来数值传热学中的一个热点。本文基于结构化网格,对冰水相变传热过程进行数值计算。主要研究内容为结构化网格中非稳态导热问题的求解过程,其中包括空间和时间物理量的离散方法,不同边界条件的处理,以及不同源项的情况等。导热控制方程中扩散项的离散采用基元有限容积法,二阶精度;非稳态项的离散,采用全隐格式;源项的离散,将相变过程中的潜热视为移动的热源。用FORTRAN语言编写模块化计算程序,以此增强其通用性。为了验证此求解过程的正确性,完整性和通用性,对非稳态热传导问题,本文从一维到三维分别给出一个经典的热传导算例,将数值解同数学分析后所得精确解进行比较,得到令人满意的一致性。最后对冰水相变传热过程进行数值计算,这些都为工程计算和应用提供有用的数值计算工具。更多还原

【Abstract】 The phenomena of icing and melting are related closely with our daily life. From the view of heat transfer, the essence of the phenomena is a heat transfer problem with phase change. The numerical simulation of the phenomena has been a hotspot in the field of numerical heat transfer in the recent years.The numerical calculations of phase change heat transfer between ice and water were investigated based on structured grids. It included the discretization method of governing equation, the treatment of boundary conditions and source terms. The diffusion term was discretized by cell-based finite volume method (FVM), and the second order accuracy. The unsteady term was discretized by implicit scheme. And, latent heat was calculated as a source term.Computational program was made using VISUAL FORTRAN, and the codes were divided into different modules according to different purposes. The classic examples of heat transfer problems from one dimension to three dimensions were presented to validate the correction, integrity and universality of the program. The numerical solutions of these examples are agreement when compared with the analytic solutions. All of these prove that the method and the procedure are correct and satisfied. After that, the phase change problems were calculated between ice and water, which supplies useful numerical calculation tools for engineering and application.更多还原