Fluid Mechanics

Course Information

• Course Title: Fluid Mechanics
• Course Code: 2014091-01
• Credits: 3
• Schedule: Saturday 16:00–18:00 & Sunday 16:00-18:00
• Location: Class 32
• Instructor: Seyed Sadjad Abedi-Shahri
  • Email: AbediSadjad@gmail.com

• Lecture Materials: Provided weekly in LMS
• Projects

Course Overview

This fluid mechanics course provides a comprehensive foundation in the principles of fluid mechanics. The course covers fundamental concepts from basic fluid properties to advanced flow analysis, including static fluid systems, flow kinematics and dynamics, viscous flow, and dimensional analysis. Students will develop both theoretical understanding and practical problem-solving skills essential for engineering applications in various fields including mechanical, civil, chemical, and biomedical engineering.

Learning Objectives

By the end of this course, students will be able to:

1. Fundamental Understanding

   • Understand basic fluid properties and behavior in both static and dynamic systems
   • Apply conservation principles (mass, momentum, energy) to fluid flow problems
   • Analyze pressure distribution and forces in static fluid systems

2. Mathematical Analysis

   • Apply differential and integral analysis methods to fluid flow problems
   • Use dimensional analysis for scaling, similitude studies, and parameter reduction
   • Solve viscous flow problems in pipes, channels, and external flow systems

3. Problem-Solving Skills

   • Design and analyze fluid systems for engineering applications
   • Select appropriate analysis methods for different flow regimes
   • Apply engineering analysis to biomechanical problems

Syllabus

1. Introduction & Fundamental Concepts
2. Fluid Statics
3. Control Volume Analysis
4. Differential Analysis of Fluid Motion
5. Incompressible Inviscid Flow
6. Dimensional Analysis & Similitude
7. Internal Viscous Flow

Primary Textbook

[FOX] Introduction to Fluid Mechanics by Fox, McDonald, and Mitchell

Evaluation Scheme

1. Midterm Exam 1: 15 points
   • Fundamental concepts, fluid statics, and control volume analysis
2. Midterm Exam 2: 15 points
   • Differential analysis, inviscid flow, and dimensional analysis
3. Final Examination: 55 points
   • Comprehensive exam covering all topics
4. Continuous Assessment: 15 points
5. Bonus Activities (optional): Up to 10 bonus points

Session Outline

• Chapter 1: Introduction
  • Scope of Fluid Mechanics
  • Definition of Fluid
  • Basic Equations
  • Methods of Analysis
  • Dimensions and Units
• Chapter 2: Fundamental Concepts
  • Fluid as a Continuum
  • Velocity Fields
  • Stress Fields
  • Viscosity
  • Surface Tension
  • Description and Classification of Fluid Motion
• Chapter 3: Fluid Statics
  • The Basic Equation of Fluid Statics
  • The Standard Atmosphere
  • Pressure Variation in a Static Fluid
  • Hydrostatic Force on Submerged Sufaces
• Chapter 4: Basic Equations in Integral Form for a Control Volume
  • Basic Laws for a System
  • Relation of System Derivatives to the Control Volume Formulation
  • Conservation of Mass
  • Momentum Equation for Inertial Control Volume
  • Momentum Equation for Control Volume with Rectilinear Acceleration
• Chapter 5: Introduction to Differential Analysis of Fluid Motion
  • Conservation of Mass
  • Stream Function for Two-Dimensional Incompressible Flow
  • Motion of a Fluid Particle (Kinematics)
  • Momentum Equation
• Chapter 6: Incompressible Inviscid Flow
  • Momentum Equation for Frictionless Flow: Euler’s Equation
  • Euler’s Equation in Streamline Coordinates
  • Bernoulli Equation: Integration of Euler’s Equation Along a Streamline for Steady Flow
  • Energy Grade Line and Hydraulic Grade Line
  • Irrotational Flow
• Chapter 7: Dimensional Analysis and Similitude
  • Nondimensionalizing the Basic Differential Equations
  • Nature of Dimensional Analysis
  • Buckingham Pi Theorem
  • Determining the $\mathrm{\Pi }$ Groups
  • Significant Dimensionless Groups in Fluid Mechanics
  • Flow Similarity and Model Studies
• Chapter 8: Internal Incompressible Viscous Flow
  • Introduction
  • Fully Developed Laminar Flow Between Infinite Parallel Plates
  • Fully Developed Laminar Flow in a Pipe

Projects:

Additional Information

Prerequisites

Students are expected to have a basic understanding of:

• Statics
• Dynamics (Optional but strongly recommended)
• Thermodynamics (Optional but strongly recommended)

Policies

1. Regular attendance is strongly recommended to stay on track with course material and acquire continuous evaluation score.
2. Students are expected to arrive on time. Late arrivals may disrupt the class and could impact participation evaluation.
3. Collaboration on assignments, exercises, and projects is encouraged. However, all submissions must reflect individual understanding and adhere to academic integrity policies. Plagiarism or copying will not be tolerated.