Course Title: Fluid Mechanics I Lecturer: Dr. Afsaneh Mojra
Course Type: Required- Undergraduate Duration and
Hours: 16 weeks - 3 hours/week
Prerequisites: Students should be familiar with classic mathematics.
Main References: • Fox and McDonald's Introduction to Fluid Mechanics, Robert W.
Fox, Alan T. McDonald, John W. Mitchell, Wiley.
Course Objectives:
This course aims to introduce the definition of fluid, and study the fluid statics and dynamics. It includes the development of the fundamental equations of fluid mechanics and their application to problems of engineering interest. Also, nondimensionalization of the governing differential equations are proposed to obtain dimensionless coefficients and some important dimensionless groups.
Contents: 1. Introduction
1.1. Definition of a Fluid 2. Fundamental Concepts
2.1. Fluid as a Continuum 2.2. Velocity Field
2.3. One-, Two-, and Three-Dimensional Flows
2.4. Timelines, Pathlines, Streaklines, and Streamlines 2.5. Stress Field
2.6. Viscosity
2.7. Newtonian Fluid
2.8. Description and Classification of Fluid Motions 2.8.1. Viscous and Inviscid Flows
2.8.2. Laminar and Turbulent Flows
2.8.3. Compressible and Incompressible Flows 2.8.4. Internal and External Flows
3. Fluid Statics
3.1. The Basic Equation of Fluid Statics 3.2. The Standard Atmosphere
3.3. Pressure Variation in a Static Fluid 3.4. Incompressible Liquids: Manometers 3.5. Hydrostatic Force on Submerged Surfaces 3.6. Hydrostatic Force on a Plane Submerged Surface 3.7. Hydrostatic Force on a Curved Submerged Surface 3.8. Buoyancy and Stability
3.9. Fluids in Rigid-Body Motion
4. Basic Equations In Integral Form For a Control Volume 4.1. Basic Laws for a System
4.2. Conservation of Mass 4.3. Newton’s Second Law
4.4. The Angular-Momentum Principle 4.5. The First Law of Thermodynamics
4.6. Relation of System Derivatives to the Control Volume Formulation
4.7. Conservation of Mass
4.8. Momentum Equation for Inertial Control Volume 4.9. Control Volume Moving with Constant Velocity
4.10. Momentum Equation for Control Volume with Acceleration 4.11. The Angular-Momentum Principle
5. Motion of a Fluid Particle (Kinematics)
5.1. Fluid Translation: Acceleration of a Fluid Particle in a Velocity Field
5.2. Fluid Rotation 5.3. Fluid Deformation 6. Incompressible Inviscid Flow
6.1. Bernoulli Equation
6.2. The Bernoulli Equation Interpreted as an Energy Equation 6.3. Energy Grade Line and Hydraulic Grade Line
7. Dimensional Analysis
7.1. Nondimensionalizing the Basic Differential Equations 7.2. Buckingham Pi Theorem
7.3. Significant Dimensionless Groups in Fluid Mechanics 7.4. Flow Similarity and Model Studies
Additional References:
• Fluid Mechanics, Frank White, McGraw-Hill.
• Fluid Mechanics, Fundamentals and Applications, Yunus A.
Cengel, John M.Cimbala, McGraw-Hill.
• Mechanics of Fluids, by Irving H. Shames, McGraw-Hill.
Grading: Homework: 15%
Quizzes: 15%
Midterm Exam: Close book: 35%
Final Exam: Close book: 35%
Simulation project (Optinal)
