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所在平台: Udemy |
课程主页: https://www.udemy.com/course/fluid-mechanics-basic-mathematical-derivations/
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课程名称：流体力学 - 基础数学推导 概述：这门流体力学的基础课程主要涵盖流体静力学、流体运动学、流体动力学、流量测量和相似性等基本概念。课程的第一部分介绍了流体静力学的基础知识，适合初学者。第二部分采用运动学方法探讨流体力学，包括层流、湍流、旋转流和非旋转流的介绍，以及三维连续性方程的解析。此外，本节还对速度势函数与流函数进行了比较研究。 第三部分中，讲者推导了伯努利方程、动量方程及其在管道弯曲流动和流体喷射反应中的应用，并详细讨论了旋流的概念。最后一部分则提供了流量测量和相似性的深入探讨，包括孔板流量计、文丘里流量计、皮托管、热丝风速计、喷嘴流动、缺口和溢流堰的详细数学推导。 本课程采用基础数学推导的方法，帮助学生掌握流体力学的基本概念，课程中对多种数学公式进行了逐步详尽的推导。这门课程将帮助本科生为流体力学领域的基本评估做好准备，整体而言，非常适合工程专业的初学者。
This introductory course in Fluid Mechanics deals with the basic concepts of fluid statics, fluid kinematics, fluid dynamics, flow measurement and similitude. First section introduces the Fluid Statics to the beginners. This is followed by a kinematics approach to the mechanics of fluids in the Section-2 comprising of an introduction to laminar, turbulent, rotational, irrotational flows, the continuity equation in three dimensions. Comparative study of velocity potential function versus stream function is also carried out in this section. Next to this in Section-3, the author derived the mathematical derivations for Bernoulli's equation, momentum equation and its applications for fluid flow in a pipe bend and reaction of a fluid jet. Also the concepts of vortex flow are discussed in detail. The last section provides an insight into flow measurement and similitude with detailed mathematical derivations of orifice meter, venturimeter, pitot tube, hotwire anemometer, flow through nozzles, notches and weirs.A fundamental mathematical derivative approach is followed which helps the students to gain the fundamental concepts of mechanics of fluids. A step-by-step and detailed derivations of the various mathematical formulae is traced in this basic course work on fluid mechanics. This course shall help the undergraduate students to prepare themselves for the basic assessment in the area of fluid mechanics. On the whole, this course tastes better for the beginners of the engineering graduation program.
