課程資訊

Fluid Mechanics

111-2

ME2007

502 31000

03

3.0

***本學期中文授課。
***為維持教學進度，可能線上或實體加課。

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, and Reynolds Averaged Navier-Stokes.

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.

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.

Calculus; General Physics; Engineering Mathematics; Thermodynamics.

9 hrs
Office Hours

I. General Texts:
1. Cengel, Cimbala, Fluid Mechanics: Fundamentals and Applications, 3rd edn., SI units, McGraw Hill
(very detailed, suitable for self-study and quick referencing).
2. Fox, McDonald, Pritchard, Mitchell, Fluid Mechanics, 9th edn., SI version, Wiley
(classic mechanical engineering text).
3. White, Fluid Mechanics, 8th edn., McGraw Hill
(classic mechanical engineering text).
4. 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.

1. Class notes and handouts.
2. Gerhart, Hochstein, Gerhart, "Munson, Young, and Okiishi’s Fundamentals of Fluid Mechanics," 9th edn., International Adaptation (SI version), Wiley, 2021.

(僅供參考)

 No. 項目 百分比 說明 1. Homework problem sets 35% A total of 5 problem sets, 7% each. All the problem sets are of equal importance. 2. Mid-term exam 30% To be held in the evenings, outside regular lecture hours. 3. Final exam 35% To be held during lecture hours in the finals week.

 上課形式 以錄影輔助 作業繳交方式 考試形式 其他 由師生雙方議定
 課程進度
 週次 日期 單元主題 第1週 2/21, 2/24 Introduction. Fluid properties and fundamental concepts. 第2週 2/28, 3/03 Pressure and statics. 第3週 3/07, 3/10 Kinematics (I). Reynolds transport theorem (RTT). 第4週 3/14, 3/17 Conservation laws and control volume analysis (mass, momentum). 第5週 3/21, 3/24 Conservation laws and control volume analysis (angular momentum, energy). 第6週 3/28, 3/31 Control volume to differential analysis. Cauchy momentum equation. Concept of constitutive relations. 第7週 4/04, 4/07 Inviscid fluid constitutive relation. Euler equations. Potential flows. Bernoulli (steady and unsteady). Stream line coordinates. 第8週 4/11, 4/14 Potential flows. 第9週 4/18, 4/21 Kinematics (II), constitutive relations for Newtonian fluids, Navier-Stokes equations and boundary conditions. 第10週 4/25, 4/28 Some exact solutions to Navier-Stokes. Scaling. Dimensional analysis, pi theorem. 第11週 5/02, 5/05 Pi theorem, important dimensionless groups. External flows, the boundary layer approximation and equations, similarity solutions. 第12週 5/09, 5/12 BL theory, similarity solutions, BL momentum integral solutions. 第13週 5/16, 5/19 Transition to turbulence. Separation, instability, turbulent flow. Reynolds Averaged Navier-Stokes. Lift. Drag. 第14週 5/23, 5/26 Internal flows, entrance length. Entrance region and fully developed flows. Couette and Poiseuille flow solutions. The lubrication unidirectional flow approximations. 第15週 5/30, 6/02 Lubricating flows continued. Creeping flows and Stokes drag. Turbulent pipe flows. One seventh law. Minor/major losses. Equivalent hydraulic diameter.