Intro to Fluid Mechanics: Bernoulli & Control Volume Appch.

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课程简介

课程名称:流体力学导论:伯努利与控制体方法 概述:本课程是流体力学的入门课程,旨在帮助学生了解这一美丽科学的基础知识。课程是三门系列课程中的第二门,将为学生提供解决多种流体力学问题所需的基本工具。所学材料在全球工程科学的本科课程中都有涉及。注册后,学员将获得终身访问课程资料的权限,包括易于理解的理论讲解和实例的视频。 课程内容包括:首先,将描述欧拉和拉格朗日对于流场的不同表述,接着讲述流动线(如流线、粒子路径和条纹线)的概念,并给出流线的数学定义及练习题。随后,我们将推导伯努利方程,并介绍如文丘里效应等不同概念。课程还将讨论伯努利方程的应用以及皮托探头和文丘里计等装置的使用。最后,我们将学习控制体方法,这是流体动力学中一个非常强大的概念,用于计算流量和运动流体引起的力。我们将讨论质量守恒方程和牛顿第二定律,并解答许多练习题。 课程的设计强调实践,提供多个示例问题和练习题,以帮助学生提高流体力学的技能。课程内容将涉及从水坝上的作用力到飞机阻力的计算等多种问题。 本课程涵盖的章节包括: 第一章 - 基础知识:流体的定义、流体性质、粘度、剪切应力定义、剪切应变速率、牛顿流体。 第二章 - 静水力学:静水方程的推导、标准大气模型、压力表达式、对平面和曲面形状的浸没物体所受到的力、浮力。 完成本课程后,您将能够: - 定义流体的概念 - 找到流体的剪切应力并与速度差联系起来 - 描述基本流体性质 - 理解压力 - 找到任意形状浸没平面物体上的力 - 找到浸没曲形物体上的力 - 解决浮力问题 - 一般性描述流体动力学 希望您在学习本课程的过程中享受乐趣!建议学员具备基础微积分(例如,导数、积分等)和物理(固体力学图示、牛顿第二定律等)知识。期待在课堂上见到您!

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课程详情

This is an introductory course on fluid mechanics in which you will learn the basics of this beautiful science. This course is the second in a three-course series that will provide you with the fundamental tools that you need to start solving several exciting fluid mechanics problems. The materials you will learn in this course are taught in undergraduate programs across the world in Engineering sciences. After enrolling to this course you will get lifetime access to its materials, which include easy to follow lecture videos on theory and examples.Here's what you will learn in this course:First we will describe the differences between the Eulerian and Lagrangian representation of a flow field. This will naturally lead us to talk about the different fluid flow lines: streamlines, particle paths and streaklines. We will define the streamline mathematically and solve practice problems. After that, we will derive the Bernoulli equation along a streamline and introduce different concepts such as the venturi effect. We will discuss on the applications of Bernoulli's equation and several devices such as the pitot probe or the venturi meter. Finally, we will learn about the control volume approach - a very powerful concept in fluid dynamics to find flow rates and forces due to fluids in motion. We will discuss the mass conservation equation and Newton's second law. And we will solve many practice problems.I am a strong believer that practice makes the master. As such, I will provide you with many worked out example problems, as well as practice problems, to help you develop your fluid mechanics skills. These problems will be diverse: from forces acting on a dam, to determining the drag of an airplane.Fluid mechanics can be complicated. That is why the course is designed to help you understand the fundamentals of fluid mechanics, in which we will discuss the derivations of the equations and will show plenty of worked out examples to help you study.Here are the chapters covered in this course:Chapter 1 - Fundamentals: definitions of a fluid, fluid properties, viscosity, definition of shear stress, shear strain rate, Newtonian fluids.Chapter 2 - Hydrostatics: derivation of the hydrostatics equations, standard atmosphere model, expressions for the pressure, forces on submerged objects of planar and curved shapes, buoyancy.And these are the areas in which you will excel after finishing this course:Define what is a fluidFind the shearing stresses on a fluid and relate them to velocity differencesDescribe the fundamental fluid propertiesUnderstand pressureFind the forces on submerged planar objects of arbitrary shapesFind the forces on submerged objects of curved shapesSolve buoyancy problemsGenerally describe fluid dynamicsI hope you enjoy taking the course as much as I enjoyed teaching it! It is recommended to be familiar with fundamental calculus (e.g., derivatives, integration, etc.) and physics (solid-body diagram, Newton's second law, etc.) for taking this course.See you in the class!

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