TOC
Table of Contents
1 : Prerequisites
1.1 Units
1.2 Thermodynamics
2 : Mathematical Concepts
2.1 Programming
2.1.1 MATLAB
2.1.2 Octave
2.2 Vectors
2.2.1 Scalars and Vectors
2.2.2 Three Dimensional Vectors
2.3 Equations
2.3.1 Algebraic Equations
2.3.2 Linear Ordinary Differential Equations
2.3.3 Multivariate Calculus
2.3.4. Partial Differential Equations
2.4 Matrices
2.4.1 Working with a Matrix
2.4.2 Tensors
2.5 Action Agents
2.5.1 Forces
2.5.2 Moments and Couples
2.6 Geometry and Inertia
2.6.1 Geometry
2.6.2 Inertia of Discrete Geometries
2.6.3 Inertia of Discrete Geometries
2.7 Useful Mathematics
2.7.1 Polynomials
2.7.2 Logarithms
2.7.3 Trigonometry
2.7.4 Derivatives
2.7.5 Integrals
2.7.6 Series
3 : Basic Concepts in Fluids
3.1 What Makes a Fluid?
3.1.1 Noslip
3.1.2 Continuum
3.1.3 Drivers of Fluid Mechanics
3.2 Basic Fluid Properties
3.2.1 Density
3.2.2 Vapor Pressure
3.2.3 Specific Heats
3.2.4 Compressibility
3.2.5 Viscosity
3.2.6 Surface Tension
3.2.7 Flow Classification
3.2.8 Mathematical Approaches to Fluid Mechanics
3.2.9 Property Tables
4 : Stationary Fluid
4.1 Pressure Variation with Depth
4.1.1 The Relation
4.1.2 Applications
4.2 Forces on Submerged Surfaces
4.2.1 Vertical Plane Surface
4.2.2 Inclined Plane Surface
4.2.3 Curved Surfaces
4.3 Buoyancy
4.3.1 Calculating Buoyancy Force
4.3.2 Stability
5 : Fluid Flow Concepts
5.1 Two Approaches for Flow Problems
5.1.1 Lagrangian Description
5.1.2 Eulerian Description
5.1.3 The Laws of Physics
5.2 Fluid Kinematics
5.2.1 Acceleration Field
5.2.2 Gradient and Velocity
5.2.3 Flow Visualization
5.2.4 Rectangular Coordinate System
5.2.5 Cylindrical Coordinate System
5.3 Integral Approach to Fluid Flow
5.3.1 Reynolds Transport Theorem
5.3.2 Mass Equation
5.3.3 Momentum Equation
5.3.4 Energy Equation
5.3.5 Angular Momentum Equation
6 : Differential Approach to Fluid Flow
6.1 Elements of Differential Analysis
6.2 The Bernoulli Equation
6.3 Taylor's Expansion
6.4 Continuity Equation
6.5 Momentum Equation
6.6 Energy Equation
6.7 Ideal Incompressible Flow
About Part 2 :
End Note For This Book