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Calculation of Incompressible and Compressible Laminar Flows for Undergraduates

机译：大学生不可压缩和可压缩层流的计算

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Teaching undergraduates viscous flows presents the instructor with a challenge due to the computational skills of the students. Some of them have had a course in computer programming while others may have only had experience using computer software. This paper has two goals. First, to provide information to students that can be used to calculate viscous flows using a spread sheet like Excel. These programs are easy to use and students can access them on their own computer without importing special software. An example is provided for calculating the incompressible flow over a flat plate using the Blasius equation. The second goal is to develop a new similarity variable that allows compressible viscous flows to be reduced to a form that does not contain derivatives of density and viscosity in the governing equations. The new variable fell out naturally for a transformed y- coordinate to determine new analytic solutions for compressible Couette flow and compressible flow over a plane with uniform suction on it. A new transformed similarity variable was determined for boundary layers and demonstrated for compressible flow over a flat plate. Both goals were achieved and make ideal examples for undergraduate students using a spreadsheet.
机译：由于学生的计算技能，教学本科生的粘性流给教师带来了挑战。他们中的一些人已经学习过计算机编程课程，而其他人可能只有使用计算机软件的经验。本文有两个目标。首先，向学生提供可用于使用Excel等电子表格计算粘性流量的信息。这些程序易于使用，学生无需导入特殊软件即可在自己的计算机上访问它们。提供了一个使用Blasius方程计算平板上不可压缩流量的示例。第二个目标是开发一个新的相似性变量，该变量允许将可压缩粘性流简化为在控制方程式中不包含密度和粘度导数的形式。新变量自然会掉落，以获取转换后的y坐标，从而确定可压缩库埃特流和平面上具有均匀吸力的可压缩流的新解析解。确定了边界层的新变换相似度变量，并证明了在平板上的可压缩流动。实现了这两个目标，并为使用电子表格的本科生提供了理想的例子。

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