課程名稱 |
流體力學 Fluid Mechanics |
開課學期 |
108-2 |
授課對象 |
機械工程學系 |
授課教師 |
黃信富 |
課號 |
ME2007 |
課程識別碼 |
502E31000 |
班次 |
02 |
學分 |
3.0 |
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 |
新302工綜215 |
備註 |
本課程以英語授課。 限本系所學生(含輔系、雙修生) 總人數上限:55人 |
Ceiba 課程網頁 |
http://ceiba.ntu.edu.tw/1082ME2007_02 |
課程簡介影片 |
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課程概述 |
Fluid mechanics concerns the kinematics and dynamics of fluid flows as well as the governing force and deformation relationships for fluids at rest or in motion. The science or study of fluid mechanics thus has broad applications in both academia and industry such as atmospheric sciences, geophysics, ocean and coastal engineering, planetary sciences, biological engineering and physiology, agricultural sciences, building and architecture, material or polymer processing, micro and nanofluidics, groundwater flows, hydraulics, mud flows, body armor, sports sciences, as well as energy, aerospace, automobile, and naval industries.
As a 3-unit introductory core course directed towards mechanical engineering sophomores, we shall introduce, examine, and discuss the underlying physics and mechanisms governing the mechanical responses and behavior of Newtonian fluids and fluid flows, that is, fluids or flows exhibiting linear stress and strain rate relationships or of constant viscosity. We shall also lay down or establish the theoretical and mathematical foundations so as to derive the governing Navier-Stokes equations for describing or predicting the fluid velocity, pressure, stress, strain rate, lift, and drag during flow motion.
Topics covered in this class generally include:
fluid statics, Reynolds transport theorem, control volume analysis, inviscid flows and applying the steady/unsteady Bernoulli equations, viscous flows of Newtonian fluids and the Navier-Stokes equations, dimensional analysis and the Buckingham pi theorem, the boundary layer approximation and the momentum integral analysis, lubricating unidirectional and creeping low Reynolds number flows, distinction between laminar and turbulent flows, Reynolds Averaged Navier-Stokes, and compressible fluid dynamics.
Hopefully, with the background knowledge and foundations established in this class, students can not only have a better understanding towards thermofluid sciences, but also be in a better position to take on advanced courses such as fluid mechanics (II), viscous fluid flows, advanced heat transfer, continuum mechanics, computational fluid dynamics, combustion, gas turbines, rheology, continuum electromechanics (EHD, MHD, FHD, ER, MR), compressible fluid dynamics, ideal fluid flows, convection heat transfer, etc. offered by the mechanical engineering department or at the University. |
課程目標 |
1. To understand and familiarize oneself with the underlying physics and mechanisms governing the mechanical responses and behavior of fluid flows.
2. To acquire and master the mathematical tools for analyzing, describing, and predicting the kinematics, dynamics, force, and deformation rates during flow motion. |
課程要求 |
Calculus; General Physics; Engineering Mathematics; Thermodynamics. |
預期每週課後學習時數 |
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Office Hours |
另約時間 備註: TBA |
指定閱讀 |
1. Gerhart, Gerhart, Hochstein, Munson’s Fluid Mechanics, Global edition, Wiley.
2. Class notes and handouts. |
參考書目 |
I. General Texts:
1. Gerhart, Gerhart, Hochstein, Munson’s Fluid Mechanics, Global edition, Wiley. (comprehensive introduction to fluid mechanics)
2. Cengel, Cimbala, Fluid Mechanics: Fundamentals and Applications, 3rd edn., SI units, McGraw Hill (very detailed, suitable for self-study and quick referencing).
3. Fox, McDonald, Pritchard, Mitchell, Fluid Mechanics, 9th edn., SI version, Wiley
(classic mechanical engineering text).
4. White, Fluid Mechanics, 8th edn., McGraw Hill
(classic mechanical engineering text).
5. Bird, Steward, Lightfoot, Transport Phenomena, 2nd edn., Wiley
(chemical engineering Bible, analysis oriented, non-Newtonian considerations, vector and tensor analyses).
II. Photo Galleries:
1. Van Dyke, An Album of Fluid Motion, Parabolic Press
(compiles all the classic flow visualization photographs and illustrations).
2. Samimy, Breuer, Leal, Steen (Editors), A Gallery of Fluid Motion, Cambridge University Press (follows Van Dyke, with modern developments).
III. Popular Science (with some very useful information):
1. 小峯龍男, 流體力學, 瑞昇文化.
2. 武居昌宏, 世界第一簡單流體力學, 世茂. |
評量方式 (僅供參考) |
No. |
項目 |
百分比 |
說明 |
1. |
Quizzes |
35% |
A total of five quizzes, 7% each. All five quizzes are of equal weighting and importance. |
2. |
Mid-term |
30% |
One mid-term exam. The mid-term will be held in the evening hours, outside the regular lecture hours. |
3. |
Final exam |
35% |
One final exam. The final exam will be held in class, during the finals week. |
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週次 |
日期 |
單元主題 |
第1週 |
2/18,2/21 |
Introduction. Fluid properties and fundamental concepts. Pressure and statics. |
第2週 |
2/25,2/28 |
Pressure and statics. Kinematics (I).
2/28: No class. |
第3週 |
3/03,3/06 |
Kinematics (I). Reynolds Transport Theorem (RTT). RTT. Conservation laws and control volume analysis (mass, momentum). |
第4週 |
3/10,3/13 |
Conservation laws and control volume analysis (angular momentum). Conservation laws and control volume analysis (1st law of thermo, Bernoulli). |
第5週 |
3/17,3/20 |
Conservation laws and control volume analysis (2nd law of thermo) Control volume to differential analysis. Cauchy momentum equation. Concept of constitutive relations. |
第6週 |
3/24,3/27 |
Cauchy momentum equation. Inviscid fluid constitutive relation. Euler equations. Potential flows. Bernoulli (steady and unsteady). Stream line coordinates. |
第7週 |
3/31,4/03 |
Potential flows. Bernoulli (steady and unsteady). Stream line coordinates. 4/03: Spring break, no class. |
第8週 |
4/07,4/10 |
Bernoulli. Stream line coordinates. Kinematics (II), constitutive relations for Newtonian fluids, Navier-Stokes equations and boundary conditions. |
第9週 |
4/14,4/17 |
Some exact solutions to Navier-Stokes. Scaling. Dimensional analysis, pi theorem. |
第10週 |
4/21,4/24 |
Pi theorem, important dimensionless groups. External flows, the boundary layer approximation and equations, similarity solutions. |
第11週 |
4/28,5/01 |
BL theory, similarity solutions, BL momentum integral solutions. |
第12週 |
5/05,5/08 |
Transition to turbulence. Separation, instability, turbulent flow. Reynolds Averaged Navier-Stokes. Lift. Drag. |
第13週 |
5/12,5/15 |
Internal flows, entrance length. Entrance region and fully developed flows. Couette and Poiseuille flow solutions. The lubrication unidirectional flow approximations. |
第14週 |
5/19,5/22 |
Lubricating flows continued. Creeping flows and Stokes drag. Turbulent pipe flows. One seventh law. Minor/major losses. Equivalent hydraulic diameter. |
第15週 |
5/26,5/29 |
Closing turbulent flows. Introduction to compressible flows. Review of thermo. Stagnation, Mach number, shock waves, flow regimes. |
第16週 |
6/02,6/05 |
Isentropic flows. 1D flows. Fanno. |
第17週 |
6/09,6/12 |
Fanno and Rayleigh. 2D flows. |
第18週 |
6/19 |
Final exam. |
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