【摘要】 以水漩涡为例,讨论漩涡中微元旋转强度问题。采用环流量与面积之比的极限对水漩涡中心处的微元旋转强度建立数学模型,通过数学模型求解找出速度场与旋度场之间的联系,推导出旋度概念和定义。该教学设计以水漩涡为例,借助数学建模方法培养学生解决物理问题的能力。更多还原

【Abstract】 Taking the water vortex as an example, this paper discusses the measurement of the rotation intensity of the micro element in the vortex. By using the limit of the ratio of annular flow to area, a mathematical model is established to measure rotation intensity of the micro element at the center of water vortex. By solving the mathematical model, the relation between the velocity field and the rotation field is found out, and the concept and definition of the curl is deduced. This instructional design takes water vortex as an example, and helps students develop their ability to solve physical problems by means of mathematical modeling.更多还原