Advanced laboratory workshop on the determination of the viscosity coefficient of liquids by the Stokes method

Vladimir Vyacheslavovich Kuzmin, A. V. Klygin, V. N. Mikhalkin, Platon Viktorovich Mikhalkin
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Abstract

Introduction. In accordance with the training plan for students and cadets of higher technical educational institutions of EMERCOM of Russia, when studying Molecular Physics, the laboratory work "Determination of the viscosity coefficient of a liquid by the Stokes method" is performed. The need for this work is due to the fact that students are visually familiar with the phenomenon of transfer in liquids, since in the future, when solving problems of hydraulics and when operating fire equipment, it is necessary to take into account the viscosity of the liquid. Goals and objectives. The aim of the study is to modernize the laboratory method for determining the viscosity of a liquid by the Stokes method, since an analysis of the published descriptions of this work shows that the relative error in determining the viscosity is 15 percent or more. Methods. To reduce the error in determining the viscosity coefficient of the liquid, video recording of the ball falling in the test liquid was used, followed by graphical processing of the experimental results to calculate the constant speed of the ball and the area in which a constant speed is observed. Results and discussion. The method was tested on the example of determining the viscosity coefficient of glycerin. Examples of computer-graphical processing of the results of experiments for calculating the constant velocity of the ball falling in glycerin are given. It is shown that a tenfold deceleration of the video recording of the fall of a steel ball in glycerin practically does not affect the result of processing its position during the fall and the value of the constant velocity. A visual picture of the movement of a ball in glycerin in the center of a dimensional glass cylinder is obtained. The liquid flows around the ball in laminar mode, which makes it possible to apply the Stokes dependence for the resistance force. Conclusions. It is shown that the proposed method of optical video recording of the ball falling in glycerin allows measuring a constant rate of fall with an error of less than 0.2 %. The laboratory work on determining the viscosity coefficient of a liquid by the Stokes method has been modernized, which allows determining the viscosity coefficient with an error of less than 4 %. Keywords: viscosity coefficient, glycerin, Stokes method, laboratory technique.
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用斯托克斯法测定液体粘度系数的高级实验室讲习班
介绍。根据俄罗斯EMERCOM高等技术院校学生和学员的培养计划,在学习分子物理学时,进行了“用斯托克斯法测定液体粘度系数”的实验室工作。之所以需要这项工作,是因为学生在视觉上熟悉液体中的传递现象,因为在将来解决水力学问题和操作消防设备时,有必要考虑液体的粘度。目标和目的。这项研究的目的是使斯托克斯法测定液体粘度的实验室方法现代化,因为对这项工作发表的描述的分析表明,测定粘度的相对误差为15%或更多。方法。为了减少测定液体粘度系数时的误差,采用视频记录球在测试液体中下落的过程,然后对实验结果进行图形化处理,计算出球的恒速和观察到恒速的区域。结果和讨论。以甘油粘度系数的测定为例,对该方法进行了验证。给出了计算球在甘油中匀速下落的实验结果的计算机图形化处理实例。结果表明,将钢球在甘油中下落的录像速度减慢十倍,实际上并不影响钢球下落时的位置和等速值的处理结果。得到了一个球在三维玻璃圆柱体中心的甘油中运动的视觉图像。液体以层流方式绕球流动,这使得阻力的斯托克斯依赖成为可能。结论。结果表明,所提出的球在甘油中下落的光学视频记录方法可以测量恒定的下落率,误差小于0.2%。用斯托克斯法测定液体粘度系数的实验室工作已经现代化,它允许以小于4%的误差测定粘度系数。关键词:粘度系数,甘油,斯托克斯法,实验室技术。
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