Desarrollo de habilidades de modelación desde las ecuaciones más simples de la Hidrodinámica

J. C. Castro-Palacio, Luisberis Velázquez-Abad, Milton H. Perea, Esperanza Navarro-Pardo, Dagoberto Acosta-Iglesias, Pedro Fernández-de-Córdoba-Castellá
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Abstract

The development of modeling skills is a very important issue in Science teaching nowadays. The present work illustrates how, from the simplest equations of hydrodynamics, it is possible to contribute to this end. Bernoulli and continuity equations are included in Physics syllabi of secondary and university levels, and can be seen as a linking between general and professional education. By means of the proposed project, students are taken through general stages which are usually present in any engineering project or research work based on modeling and simulation. such as the formulation of the problem, the statement of the Physics model, a computational simulation and the comparison between theory and experiments. This kind of project allows for the development of modeling skills and also to some other typical skills of the scientist's and engineer's profiles nowadays, such as  fitting and graphing analysis. It is common to see that secondary and  first year university courses do not contribute much to the formation of modeling skills, instead they rather contribute to particular skills from the perspective of the different subjects. On the other hand, students are usually more motivated for the modeling of real world situations than for idealized ones.
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从最简单的流体动力学方程发展建模技能
建模技能的培养是当今科学教学中一个非常重要的问题。目前的工作说明,如何从最简单的流体力学方程,可能有助于实现这一目标。伯努利方程和连续性方程包含在中学和大学水平的物理教学大纲中,可以被视为普通教育和专业教育之间的联系。通过提出的项目,学生通过一般阶段,通常存在于任何工程项目或研究工作基于建模和仿真。例如问题的表述,物理模型的陈述,计算模拟以及理论与实验的比较。这种类型的项目允许建模技能的发展,也包括当今科学家和工程师的一些典型技能,如拟合和绘图分析。很常见的是,中学和大学第一年的课程并没有对建模技能的形成做出很大的贡献,相反,它们是从不同学科的角度来培养特定的技能。另一方面,学生通常更有动力去模拟现实世界的情况,而不是理想化的情况。
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