課程大綱

課程資訊

課程名稱

流體力學
Fluid Mechanics

開課學期

101-2

授課對象

機械工程學系

授課教師

楊馥菱

課號

ME2007

課程識別碼

502 31000

班次

學分

全/半年

半年

必/選修

必修

上課時間

星期二2(9:10~10:00)星期五3,4(10:20~12:10)

上課地點

工綜215工綜211

備註

限本系所學生(含輔系、雙修生)
總人數上限：65人

Ceiba 課程網頁

http://ceiba.ntu.edu.tw/1012_fluids_fuling

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課程概述

In this course, fundamental concepts of fluid mechanics will be introduced. Specific topics shall cover basic properties of fluids, description of fluids at rest and in motion, kinematics of fluid motion, flow analysis using control volumes and differential methods, and dimensional analysis and modeling. If time is available, pipe flow and external flow with boundary layers shall be introduced. Students can study with the aid of various resources such as fluid videos and online materials.

課程目標

We will cover the following topics in basic FM course:

Properties of fluis (liquid, gas) & fluid statics[Ch. 1, 2, 3]
Governing equations—integral form [Ch. 4, 5]
Governing equations—differential form [Ch.9]
Control volume analysis of flow system [Ch.6, Ch.13]
Dimension analysis and similitue [Ch. 7]
Flow over bodies [Ch.11]
-------------Midterm-------------------------------------
Analytic solution [Ch. 9]
Approximate solution: Inviscid (Potential) flow [Ch. 10A]
Approximate solution: Boundary layer theory [Ch. 10B]
Compressible flow [Ch. 12]
-------------Final---------------------------------------

課程要求

Attend lectures; review lecture notes and study textbook; take quiz and exams.

預期每週課後學習時數

Office Hours

參考書目

指定閱讀

Fluid Mechanics Fundamentals and Applications by Cengel and cimbala (1st ed)

評量方式
(僅供參考)

No.	項目	百分比	說明
1.	Final exam	30%
2.	Midterm exam	30%
3.	Quiz	40%	5-8 in-class quizzes will be given during the term.

課程進度

週次	日期	單元主題
第1週	2/22	Continuum, viscosity, surface tension, capillar effect [1.1, 1.5, 1.7, 1,8, 2.1, 2.5,2.6,2.7*]
第1週	2/19	Introduction to fluids
第2週	3/01	Reynolds transport equation; divergence theorem [sec4.5* 5.2*]
第2週	02/26	Material derivative [sec4.1, 4.5]
第3週	3/05,3/08	RTT(explanation of Lagrangian vs. Eulerian description); physical concept of divergence theorem (flux at CS vs. spatial gradient in CV)
第4週	3/15	Forces in momentum equation: Stress tensor; surface force on a CV; body force on a CS; hydrostatic pressure; concept of buoyancy [9.4, 3.5,3.6]
第4週	3/12	conservation equations (extensive properties) with RTT; Continuity Eqn; momentum equation [6.3,6.4,9.2*(p402-404)]
第5週	3/22	comments on hydrostatic pressure; constitutive law; strain rate tensor [3.7,3.8]
第5週	03/19	Surface force from stress tensor projection
第6週	03/26	Physical meaning of strain rate tensor [4-4]
第6週	3/29	flow lines [4.2*]; Bernoulli Equation; control and its applications
第7週	4/02	Bernoulli Eqn across streamline; engineering applications of control volume analysis with prescribed velocity profile
第8週	4/09,4/12	4/09: use note 09; 4/12 in-class Midterm
第9週	04/16	Constitutive relation for Newtonian fluid, Navier-Stokes equation (differential form of momentum eqn); Boundary conditions [9.1,9.4,9.5*]
第13週	5/14,5/17	Irrotational flow (potential flow) approximation; fundamental solution (streamfunction and potential function); superposition of solutions [10.5*]
第18週	06/28	[Optional] Supplementary classes on Compressible Flows [Ch12] Last three Tuesdays, 8:30-9:05 (工綜211)
第9-2週	04/19	Analytic solution to Navier-Stokes eqn [Part1]: Couette Flow, Poiseuille flow (sec.9.6*)
第10-1週	4/23	Analytic solution to Navier-Stokes eqn [Part2] (Sec. 9.6* +Examples 9.13~9.18)
第12-1週	5/07	Analytic solution to Navier-Stokes eqn in cylindrical coordinate[Part3]
第12-2週	05/10	Approximation of NS equation --> Euler Equation and its link to Bernoulli's equation; inviscid irrotational flow and concept of potential function [10.1, 10.2, 10.4]
第14-1週	5/21	Drag and Lift force for inviscid flow over a spinning cylinder; circulation and its relation to lift [Sec10-5*]
第15-1週	5/28	Boundary layer equation (use Lecture note16) [sec10.6]; Supplementary course: acoustic wave (use Sup Lecture note 01)
第15-2週	05/31	Displacement and Momentum thickness (~p528); Karman integral technique (~p540);
第16-1週	6/04	Application of Karman Integral Eqn for uniform flow over a flat plate
第16-2週	06/07	Blausius similarity solution for BL over a flat plate (ex10-10); laminar vs turbulent BLs; law of wall
第17-1週	06/11	BL with pressure gradient (p535~); turbulent boundary layer & law of the wall (p528-534)
第17-2週	6/14	Drag coefficient-friction drag vs pressure drag; [Sec11.2 11.3 (upto p569)]; concept of dimension analysis; Buckingham Pi theory [Sec.7.2-7.4]