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首页> 外文期刊>Journal of Heat Transfer >Solutions For Transient Heat Conduction With Solid Body Motion And Convective Boundary Conditions
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Solutions For Transient Heat Conduction With Solid Body Motion And Convective Boundary Conditions

机译:具有固体运动和对流边界条件的瞬态热传导解决方案

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The analytical solution for the problem of transient thermal conduction with solid body movement is developed for a parallelepiped with convective boundary conditions. An effective transformation scheme is used to eliminate the flow terms. The solution uses Green's functions containing convolution-type integrals, which involve integration over a dummy time, referred to as "cotime. " Two types of Green's functions are used: one for short cotimes comes from the Laplace transform and the other for long cotimes from the method of separation of variables. A primary advantage of this method is that it incorporates internal verification of the numerical results by varying the partition time between the short and long components. In some cases, the long-time solution requires a zeroth term in the summation, which does riot occur when solid body motion is not present. The existence of this zeroth term depends on the magnitude of the heat transfer coefficient associated with the convective boundary condition. An example is given for a two-dimensional case involving both prescribed temperature and convective boundary conditions. Comprehensive tables are also provided for the nine possible combinations of boundary conditions in each dimension.
机译:针对具有对流边界条件的平行六面体,提出了具有固体运动的瞬态热传导问题的解析解。有效的转换方案用于消除流量项。该解决方案使用包含卷积型积分的格林函数,这些函数涉及在虚假时间内进行积分,称为“ cotime”。使用了两种Green函数:一种用于较短的同时间来自Laplace变换,另一种用于较长的同时间。变量分离的方法。该方法的主要优点是,它通过改变短分量和长分量之间的分配时间,合并了数值结果的内部验证。在某些情况下,长期解决方案要求总和为零项,当不存在实体运动时会发生骚动。该零项的存在取决于与对流边界条件相关的传热系数的大小。给出了一个既涉及规定温度又涉及对流边界条件的二维情况的示例。还提供了有关每个维度中边界条件的九种可能组合的综合表。

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