一种带待定指数的抛物热平衡积分法的研究注记：确定最佳剖面的熵产生法
Research Note on a Parabolic Heat-Balance Integral Method with Unspecified Exponent: An Entropy Generation Approach in Optimal Profile Determination
摘要：
研究了Goodman的热平衡积分法，并将其应用于两个具有给定温度和流量边界条件的简单一维热传导问题。这些经典的问题，众所周知的精确解，使证明热平衡积分方法的性能，通过一个抛物线的轮廓和熵产生最小化的概念，在适当的轮廓指数的定义。生成执行该解决方案所需的附加约束的基本假设是基于使分别由近似和精确分布计算的局部热熵产生率的差异最小化的要求。这个概念是容易应用的，因为一般的概念具有简单的实施条件，要求通过两个轮廓计算的热熵产生在边界处相同。熵最小化生成方法自动生成附加要求，该附加要求在由热平衡积分方法概念定义的条件集合中是不足的。
英文摘要：
The heat-balance integral method of Goodman is studied with two simple 1-D heat conduction problems with prescribed temperature and flux boundary conditions. These classical problems with well known exact solutions enable to demonstrate the heat-balance integral method performance by a parabolic profile and the entropy generation minimization concept in definition of the appropriate profile exponent. The basic assumption generating the additional constraints needed to perform the solution is based on the requirement to minimize the difference in the local thermal entropy generation rates calculated by the approximate and the exact profile, respectively. This concept is easily applicable since the general concept has simple implementation of the condition requiring the thermal entropy generations calculated through both profiles to be the same at the boundary. The entropy minimization generation approach automatically generates the additional requirement which is deficient in the set of conditions defined by the heat-balance integral method concept.
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