以下為系統擷取之英文原文
1.060 Engineering Mechanics II
Spring 2006
These waves illustrate converging flow on a shoreline. (Image courtesy of cbonney.)
Course Highlights
This course features a complete set of Prof. Madsen's hand-written lecture notes, and exams and assignments that were prepared by the instructor and teaching assistant David Gonzalez-Rodriguez.
Course Description
This subject provides an introduction to fluid mechanics. Students are introduced to and become familiar with all relevant physical properties and fundamental laws governing the behavior of fluids and learn how to solve a variety of problems of interest to civil and environmental engineers. While there is a chance to put skills from calculus and differential equations to use in this subject, the emphasis is on physical understanding of why a fluid behaves the way it does. The aim is to make the students think as a fluid. In addition to relating a working knowledge of fluid mechanics, the subject prepares students for higher-level subjects in fluid dynamics.
Syllabus
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This subject provides an introduction to fluid mechanics. You will be introduced to and become familiar with all relevant physical properties and fundamental laws governing the behavior of fluids and you will learn how to solve a variety of problems of interest to civil and environmental engineers. While there will be a chance for you to put your mathematical skills obtained in 18.01, 18.02, and 18.03 to use in this subject, the emphasis is on physical understanding of why a fluid behaves the way it does. The aim is to make you think as a fluid. In addition to giving you a working knowledge of fluid mechanics, the subject will prepare you for higher-level subjects in fluid dynamics.
LecturesLecture notes will be distributed for each lecture, usually covering "theoretical" aspects (derivations, etc.) in more detail or in a different manner than done during class or in text. The subject content is defined by the material presented in lecture notes, recitations, and readings, so regular attendance is advisable.
RecitationsRecitations will illustrate and/or expand on concepts presented in lectures by working through example problems or conducting simple experiments. Material covered in recitations is often related to homework assignments and is considered part of the subject content, so regular attendance at one of the two weekly recitations is advisable.
TextThe following book will be used as the text for the subject, supplemented by lecture notes:
Young, Donald F., Bruce R. Munson, and Theodore H. Okiishi. A Brief Introduction to Fluid Mechanics. 3rd ed. New York, NY: Wiley, 2003. ISBN: 0471457574.
Reading assignments are given in the readings section.
HomeworkProblem sets will be distributed at regular intervals. Each problem set is designed to build upon the material covered in the preceding lectures. Homework assignments will be prepared by teams consisting of three students. Each team will hand in one solution, with the names of team-members who contributed indicated on the cover-page. Due dates for problem sets are firm and homework assignments will be corrected and handed back (with solutions) no later than two lectures after the due date.
ExamsThere will be three in-class hour exams. There will also be a three-hour scheduled final exam. The exams will be closed-book, but "cheat-sheets" will be handed out.
GradeThe grade will be based on:
ACTIVITIES | PERCENTAGES |
---|---|
Homework | 25% |
In-class Exams | 45% |
Final Exam | 30% |
In arriving at a final letter grade, two grades will be given:
The better of the two grades will be your final letter grade in 1.060.
Calendar
The calendar below provides information on the course's lecture (L), recitation (R), and exam (E) sessions.
SES # | TOPICS | KEY DATES |
---|---|---|
L1 | Subject Outline, Fluid Concepts, The Continuum Hypothesis | |
R1 | Review of Hydrostatics and Dimensional Analysis | |
L2 | Description of Fluid Flow, Conservation Laws | |
L3 | Hydrostatics, Forces on Plane and Curved Surfaces | Homework 1 out |
R2 | Stability of Floating Bodies | |
L4 | Manometry, Stability of Dams and Gates | |
L5 | Mass and Volume Conservation | |
L6 | Stream Function, Velocity Potential, Flownet Construction | Homework 1 due Homework 2 out |
L7 | The Bernoulli Equation for Ideal Fluids | |
R3 | Flownet and Streamline Construction | |
L8 | Application of Mass Conservation and Bernoulli | |
L9 | Conservation Laws for Finite Control Volumes, Reynolds Transport Theorem | Homework 2 due Homework 3 out |
L10 | Conservation of Momentum for Finite Control Volumes | |
R4 | Bernoulli Experiment | |
L11 | Applications of Momentum | |
L12 | The Bernoulli Equation from Energy Considerations | Homework 3 due |
L13 | Special Forms and Interpretations of the Bernoulli Equation | |
E1 | Hour Exam 1 (Covering Material through L11) | |
L14 | Laminar Flow, Shear Stresses in Fluids | Homework 4 out |
L15 | Velocity Distribution in Laminar Flows, Turbulence, The Reynolds Number | |
R5 | Application of Conservation Principles for Finite Control | |
L16 | Pipe Friction Losses, Moody Diagram, Minor Losses | |
L17 | Pipe Flow Analysis | Homework 4 due Homework 5 out |
L18 | Pump Specification and Requirements | |
R6 | Pipe Flow Demonstration and Analysis | |
L19 | Turbines and Windmills | |
L20 | Drag Forces on Immersed Bodies | Homework 5 due Homework 6 out |
L21 | Lift Forces on Immersed Bodies | |
R7 | Dynamic Response of a Floating Body | |
L22 | Fluid Mechanics of Pitching | |
L23 | Uniform Open Channel Flow | Homework 6 due |
L24 | Uniform Open Channel Flow Computations | |
E2 | Hour Exam 2 (Covering Material through L23) | Homework 7 out |
R8 | Open Channel Flow Computations | |
L25 | Bernoulli Principle in Open Channel Flow, Specific Head-Depth Diagram | |
L26 | Application of Specific Head in Open Channel Flow, Super- and Sub-critical Flows | |
L27 | Momentum Principle in Open Channel Flow | Homework 7 due Homework 8 out |
L28 | Application of Momentum Principle in Open Channel Flow | |
R9 | Application of Energy and Momentum Principles in Open Channel Flows | |
L29 | Gradually Varied Open Channel Flow | |
L30 | Gradually Varied Flow Profiles | Homework 8 due Homework 9 out |
L31 | Discharge From Lakes and Under Gates | |
R10 | Determination of Gradually Varied Flow Profiles | |
L32 | Further Examples of Gradually Varied Flow | |
L33 | Unsteady Flow in Open Channels, Kinematic Waves | Homework 9 due |
L34 | Flood Routing | |
E3 | Hour Exam 3 (Covering Material through L34) | |
L35-L36 | Differential Analysis of Fluid Flow, Navier-Stokes Equations | |
E4 | Final Exam (3 Hours) |
Readings
This section contains documents created from scanned original files, which are inaccessible to screen reader software. A "#" symbol is used to denote such documents.
The main textbook for this course is:
Young, Donald F., Bruce R. Munson, and Theodore H. Okiishi. A Brief Introduction to Fluid Mechanics. 3rd ed. New York, NY: Wiley, 2003. ISBN: 0471457574.
Supplemental texts for the course are:
Control Volume Notes (PDF)
A Few Hints on Problem Solving (PDF)^{#}
Readings assignments in the main textbook are shown in this table.
SES # | TOPICS | READINGS |
---|---|---|
L1 | Subject Outline, Fluid Concepts, The Continuum Hypothesis | 1.1-1.6 |
R1 | Review of Hydrostatics and Dimensional Analysis | |
L2 | Description of Fluid Flow, Conservation Laws | 1.7-1.9, 4.1-4.2 |
L3 | Hydrostatics, Forces on Plane and Curved Surfaces | 2.1-2.3, 2.8-2.10 |
R2 | Stability of Floating Bodies | |
L4 | Manometry, Stability of Dams and Gates | 2.4-2.7, 2.11-2.12 |
L5 | Mass and Volume Conservation | 5.1, 6.1-6.2 |
L6 | Stream Function, Velocity Potential, Flownet Construction | 6.4, 6.5-6.5.1 |
L7 | The Bernoulli Equation for Ideal Fluids | 3.1-3.4 |
R3 | Flownet and Streamline Construction | |
L8 | Application of Mass Conservation and Bernoulli | 3.5-3.6 |
L9 | Conservation Laws for Finite Control Volumes, Reynolds Transport Theorem | 4.3-4.4 |
L10 | Conservation of Momentum for Finite Control Volumes | 5.2.1 |
R4 | Bernoulli Experiment | |
L11 | Applications of Momentum | 5.2.2 |
L12 | The Bernoulli Equation from Energy Considerations | 5.3-5.3.1 |
L13 | Special Forms and Interpretations of the Bernoulli Equation | 3.7-3.8, 5.3.2-5.3.4 |
E1 | Hour Exam 1 (Covering Material through Ses #L11) | |
L14 | Laminar Flow, Shear Stresses in Fluids | 1.6, 8.1 |
L15 | Velocity Distribution in Laminar Flows, Turbulence, The Reynolds Number | 6.9, 8.2-8.3 |
R5 | Application of Conservation Principles for Finite Control | |
L16 | Pipe Friction Losses, Moody Diagram, Minor Losses | 8.4 |
L17 | Pipe Flow Analysis | 8.5-8.6 |
L18 | Pump Specification and Requirements | 11.1-11.4 |
R6 | Pipe Flow Demonstration and Analysis | |
L19 | Turbines and Windmills | 11.6-11.8 |
L20 | Drag Forces on Immersed Bodies | 9.1-9.3 |
L21 | Lift Forces on Immersed Bodies | 9.4 |
R7 | Dynamic Response of a Floating Body | |
L22 | Fluid Mechanics of Pitching | 10.1, 10.4-10.4.2 |
L23 | Uniform Open Channel Flow | 10.4.3 |
L24 | Uniform Open Channel Flow Computations | 10.2 Class notes |
E2 | Hour Exam 2 (Covering Material through Ses #L23) | |
R8 | Open Channel Flow Computations | |
L25 | Bernoulli Principle in Open Channel Flow, Specific Head-Depth Diagram | 10.3 |
L26 | Application of Specific Head in Open Channel Flow, Super- and Sub-critical Flows | 10.6.2-10.6.4 |
L27 | Momentum Principle in Open Channel Flow | 10.6.1 Class notes |
L28 | Application of Momentum Principle in Open Channel Flow | Class notes |
R9 | Application of Energy and Momentum Principles in Open Channel Flows | |
L29 | Gradually Varied Open Channel Flow | 10.5 |
L30 | Gradually Varied Flow Profiles | Class notes |
L31 | Discharge From Lakes and Under Gates | Class notes |
R10 | Determination of Gradually Varied Flow Profiles | |
L32 | Further Examples of Gradually Varied Flow | Class notes |
L33 | Unsteady Flow in Open Channels, Kinematic Waves | Class notes |
L34 | Flood Routing | 6.3, 6.8 |
E3 | Hour Exam 3 (Covering Material through Ses #L34) | |
L35-L36 | Differential Analysis of Fluid Flow, Navier-Stokes Equations | 8.3 Class notes |
E4 | Final Exam (3 Hours) |
Lecture Notes
This section contains documents created from scanned original files, which are inaccessible to screen reader software. A "#" symbol is used to denote such documents.
SES # | TOPICS |
---|---|
L1 | Subject Outline, Fluid Concepts, The Continuum Hypothesis (PDF)^{#} |
L2 | Description of Fluid Flow, Conservation Laws (PDF - 1.0 MB)^{#} |
L3 | Hydrostatics, Forces on Plane and Curved Surfaces (PDF - 1.1 MB)^{#} |
L4 | Manometry, Stability of Dams and Gates (PDF - 2.0 MB)^{#} |
L5 | Mass and Volume Conservation (PDF)^{#} |
L6 | Stream Function, Velocity Potential, Flownet Construction (PDF - 2.0 MB)^{#} |
L7 | The Bernoulli Equation for Ideal Fluids (PDF)^{#} |
L8 | Application of Mass Conservation and Bernoulli (PDF)^{#} |
L9 | Conservation Laws for Finite Control Volumes, Reynolds Transport Theorem (PDF)^{#} |
L10 | Conservation of Momentum for Finite Control Volumes (PDF)^{#} |
L11 | Applications of Momentum (PDF)^{#} |
L12 | The Bernoulli Equation from Energy Considerations (PDF)^{#} |
L13 | Special Forms and Interpretations of the Bernoulli Equation (PDF - 1.1 MB)^{#} |
L14 | Laminar Flow, Shear Stresses in Fluids (PDF - 1.0 MB)^{#} |
L15 | Velocity Distribution in Laminar Flows, Turbulence, The Reynolds Number (PDF)^{#} |
L16 | Pipe Friction Losses, Moody Diagram, Minor Losses (PDF - 1.2 MB)^{#} |
L17 | Pipe Flow Analysis (PDF)^{#} |
L18 | Pump Specification and Requirements (PDF - 1.2 MB)^{#} |
L19 | Turbines and Windmills (PDF)^{#} |
L20 | Drag Forces on Immersed Bodies (PDF - 1.6 MB)^{#} |
L21 | Lift Forces on Immersed Bodies (PDF - 1.4 MB)^{#} |
L22 | Fluid Mechanics of Pitching |
L23 | Uniform Open Channel Flow (PDF - 1.0 MB)^{#} |
L24 | Uniform Open Channel Flow Computations (PDF)^{#} |
L25 | Bernoulli Principle in Open Channel Flow, Specific Head-Depth Diagram (PDF)^{#} |
L26 | Application of Specific Head in Open Channel Flow, Super- and Sub-critical Flows (PDF - 1.0 MB)^{#} |
L27 | Momentum Principle in Open Channel Flow (PDF)^{#} |
L28 | Application of Momentum Principle in Open Channel Flow (PDF - 1.2 MB)^{#} |
L29 | Gradually Varied Open Channel Flow (PDF - 1.1 MB)^{#} |
L30 | Gradually Varied Flow Profiles (PDF - 2.3 MB)^{#} |
L31 | Discharge From Lakes and Under Gates (PDF - 1.3 MB)^{#} |
L32 | Further Examples of Gradually Varied Flow (PDF - 1.7 MB)^{#} |
L33 | Unsteady Flow in Open Channels, Kinematic Waves (PDF - 1.3 MB)^{#} |
L34 | Flood Routing (PDF - 1.2 MB)^{#} |
L35-L36 | Differential Analysis of Fluid Flow, Navier-Stokes Equations (PDF - 1.8 MB)^{#} |
Recitations
This section contains documents created from scanned original files, which are inaccessible to screen reader software. A "#" symbol is used to denote such documents.
The following files are notes and problems from the recitation sessions, which were led by course TA David Gonzalez-Rodriguez.
SES # | TOPICS | Notes | Problems |
---|---|---|---|
R1 | Review of Hydrostatics and Dimensional Analysis | (PDF)^{#} | |
R2 | Stability of Floating Bodies | (PDF - 1.6 MB)^{#} | |
R3 | Flownet and Streamline Construction | (PDF - 2.0 MB)^{#} | |
R4 | Bernoulli Experiment | (PDF - 1.8 MB)^{#} | |
R5 | Application of Conservation Principles for Finite Control | (PDF)^{#} | |
R6 | Pipe Flow Demonstration and Analysis | (PDF - 1.3 MB)^{#} | |
R7 | Dynamic Response of a Floating Body | (PDF - 1.3 MB)^{#} | (PDF)^{#} |
R8 | Open Channel Flow Computations | (PDF - 1.5 MB)^{#} | (PDF)^{#} |
R9 | Application of Energy and Momentum Principles in Open Channel Flows | (PDF)^{#} | |
R10 | Determination of Gradually Varied Flow Profiles | (PDF - 1.4 MB)^{#} |
Assignments
This section contains documents created from scanned original files, which are inaccessible to screen reader software. A "#" symbol is used to denote such documents.
The assignments for this course and their solutions are listed below. They were prepared jointly by the instructor and teaching assistant David Gonzalez-Rodriguez:
ASSIGNMENTS | SOLUTIONS |
---|---|
Problem Set 1 (PDF) | (PDF)^{#} |
Problem Set 2 (PDF) | (PDF - 1.3 MB)^{#} |
Problem Set 3 (PDF) | (PDF - 1.4 MB)^{#} |
Problem Set 4 (PDF) | (PDF - 2.1 MB)^{#} |
Problem Set 5 (PDF) | (PDF - 1.7 MB)^{#} |
Problem Set 6 (PDF) | (PDF - 1.7 MB)^{#} |
Problem Set 7 (PDF) | (PDF)^{#} |
Problem Set 8 (PDF) | (PDF - 1.6 MB)^{#} |
Problem Set 9 (PDF) | (PDF - 1.6 MB)^{#} |
Exams
This section contains documents created from scanned original files, which are inaccessible to screen reader software. A "#" symbol is used to denote such documents.
The following files are sample tests along with their solutions, as well as past final exams for the course.
Test 1 with Solutions (PDF - 1.0 MB)^{#}
Test 2 with Solutions (PDF - 1.2 MB)^{#}
Text 3 with Solutions (PDF - 1.1 MB)^{#}
Final Exam with Solutions (PDF - 2.9 MB)^{#}
Sample Exams
Sample Test 1 (PDF)^{#}
Sample Test 2 (PDF - 1.9 MB)^{#}
Sample Test 3 (PDF - 1.7 MB)^{#}
Sample Test 4 (PDF - 1.0 MB)^{#}
Study Aids for the Final Exam (PDF - 1.2 MB)^{#}
2004 Final Exam (PDF - 2.4 MB)^{#}
2005 Final Exam (PDF - 2.2 MB)^{#}
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