Fluid Mechanics Fundamentals 2023

What you'll learn
How to apply basic concepts of fluid statics to problems involving fluids at rest
An understanding of the concepts of conservation of mass, momentum, and energy to problems in fluid dynamics
An ability to utilize control volume analysis to solve problems in fluid dynamics
An ability to compute pressure drops and pumping requirements for fluid flow through piping systems
Basic understanding of the Navier-Stokes equations
Requirements
Students should have a basic understanding of statics, 1st year calculus, and ordinary differential equations.
Description
This course is an introduction to fluid mechanics, and emphasizes both fundamental concepts and problem-solving techniques. Topics currently covered include fluid properties, fluid statics, stability of floating bodies, fluid kinematics, conservation of mass, momentum, and energy, the Bernoulli equation, control volume analysis, dimensional analysis, internal flows (i.e., laminar and turbulent pipe flows), and the Navier-Stokes equations. Topics to be added in the future may include approximations such as creeping flow, potential flow, and boundary layers, and external flows including lift and drag over airfoils. The course is based on much of the material within, and at the level of, a one semester first course in fluid mechanics taught at the junior level in an engineering department. Recommended prerequisites include a basic understanding of statics, thermodynamics, 1st year calculus including integration and differentiation, and ordinary differential equations. Elementary scientific programming skills are also helpful but not absolutely necessary. The approach taken in this course is to first introduce the relevant theory, followed by example problems where appropriate. Every attempt is made to fully explain and carry out all important steps in the derivation of important equations. In addition to undergraduate engineering students, the course would also be of value to practicing engineers wishing to review material, and as a prerequisite to most courses in computational fluid dynamics.
Overview
Section 1: Introduction
Lecture 1 Introduction
Lecture 2 Fluid Properties
Lecture 3 Energy, Compressibility
Lecture 4 Viscosity
Lecture 5 Surface Tension
Section 2: Fluid Statics
Lecture 6 Pressure
Lecture 7 Manometers
Lecture 8 Forces on Submerged Bodies Part 1
Lecture 9 Forces on Submerged Bodies Part 2
Lecture 10 Centroids of Composite Shapes
Lecture 11 Hydrostatic Forces on Curved Surfaces
Lecture 12 Stability of a Floating Body
Section 3: Fluid Kinematics
Lecture 13 Lagrangian and Eulerian Descriptions
Lecture 14 Flow Visualization
Lecture 15 Fundamental Fluid Element Motions and Deformations
Lecture 16 Vorticity and Rotation
Section 4: RTT, Mass, Energy, Bernoulli, and Momentum
Lecture 17 Reynolds Transport Theorem
Lecture 18 Mass Conservation
Lecture 19 Mass Conservation Example Problems
Lecture 20 Energy Equation
Lecture 21 Energy Equation Example Problems
Lecture 22 More Energy Equation Examples
Lecture 23 Bernoulli Equation
Lecture 24 Momentum Equation
Lecture 25 Momentum Equation Example Problems
Lecture 26 More Momentum Equation Examples
Section 5: Dimensional Analysis
Lecture 27 Nondimensionalization of Equations
Lecture 28 Similarity and the Buckingham Pi Theorem
Lecture 29 Incomplete Similarity
Lecture 30 Ship Wave Drag
Section 6: Flow Through Pipes and Fittings
Lecture 31 Introduction and Laminar Flow
Lecture 32 Laminar Flow Analytic ODE Solution
Lecture 33 Darcy Friction Factor
Lecture 34 Turbulent Pipe Flow I
Lecture 35 Turbulent Pipe Flow II
Lecture 36 Power Law Profile
Lecture 37 Turbulent Pipe Flow Examples
Lecture 38 Minor Losses due to Pipe Fittings
Lecture 39 More Piping Examples
Lecture 40 Branched Piping Systems
Section 7: Differential Analysis of Fluid Flow
Lecture 41 Conservation of Mass: The Continuity Equation
Lecture 42 Stream Function
Lecture 43 Stream Function Example
Lecture 44 Momentum Equation
Lecture 45 Navier-Stokes Equations
Lecture 46 Couette Flow Example
Lecture 47 Modified Pressure
Students entering an undergraduate course in fluid mechanics. Professionals wishing to review the fundamentals of fluid dynamics.


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