Idealizations and the Reliability of Dimensional Analysis

尺寸分析的理想化和可靠性

• 批准号: 8920699
• 负责人: Ronald Laymon
• 金额: --
• 依托单位: Ohio State University Research Foundation -DO NOT USE
• 依托单位国家: 美国
• 项目类别: Standard Grant
• 财政年份: 1990
• 资助国家: 美国
• 起止时间: 1990-10-01 至 1991-09-30
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=8920699&HistoricalAwards=false
• 关键词: Idealizations; Reliability; Dimensional; Analysis

Science and engineering both benefit from a maximization of the realism of their analyses and associated computations. A major constraint on such realism is the need to achieve real computability. It is in part because of this need that idealizations and approximations get introduced in the first place into scientific and engineering analyses. Given the desirability of maximizing realism and minimizing idealization and approximation, dimensional analysis is a godsend because it serves as a surrogate for actual derivations. Hence, more realistic analyses can be used than would otherwise be possible. Unfortunately, dimensional analysis is not entirely a "something for nothing" procedure. There are significant and challenging problems connected with its application. Dr. Laymon, under this research grant, is investigating different variants of dimensional analysis for their various strengths and weaknesses. Since it is the case that idealizations and simplifications are also employed in dimensional analysis, he is also investigating how such idealizations and simplifications are justified and introduced.

科学和工程都受益于他们的分析和相关计算的现实性最大化。这种现实性的一个主要限制是需要实现真正的可计算性。在某种程度上，正是由于这种需要，理想化和近似首先被引入到科学和工程分析中。考虑到最大化现实主义和最小化理想化和近似值的可取性，量纲分析是天赐之物，因为它可以作为实际推导的替代品。因此，可以使用比其他方法更现实的分析。不幸的是，量纲分析并不完全是一个“不劳而获”的过程。在它的应用中存在着重大的和具有挑战性的问题。雷蒙博士，在这项研究的资助下，正在研究量纲分析的不同变体，因为它们有不同的优缺点。由于理想化和简化也被用于维度分析，他也在研究这种理想化和简化是如何被证明和引入的。