Advanced Fluid Dynamics

• Course Outline
   
• Handouts
  • Historical and Introductory Concepts
    • Brief history of fluid mechanics
    • Disciplines and subdisciplines associated with fluid mechanics
    • Particular engineering interests
    • Ideal problem solving strategies
    • Examples on using the control volume approach
    • Related video titles
    • Expanding websites
    • Flow visualization techniques
    • Flow classfication
       
  • Important Contributors
    • Leonhard Euler
    • Blaise Pascal and René Descartes
    • Isaac Newton
    • Other contributors
       
  • Formularies
    • Essential series expansions
    • Essential trigonometric identities
    • Solutions to 1st and 2nd order ODEs
    • Asymptotic expansions of special functions
    • Vector identities and theorems
    • More vector identities
    • Divergence and curl of a vector field
    • On differential operators and the Divergence theorem
    • Complete formulary of vector identities and differential operators in curvilinear coordinates
      
     
  • Basic Summaries
    • Basic terms
    • Hydrostatic relations, centroids, and area moments of inertia
    • Centroids for several common shapes
    • Properties of common fluids
    • Properties of water and air
       
  • Navier-Stokes Equations
    • Cartesian coordinates (Summary)
    • Cartesian coordinates (2D)
    • Cartesian coordinates (3D)
    • Cylindrical coordinates (Summary)
    • Cylindrical coordinates (2D)
    • Cylindrical coordinates (3D)
       
  • Dimensional Analysis
    • Procedure and parameters
    • Some dimensionless parameters
    • Lecture on dimensional analysis (PPT)
       
  • Supplementary Notes
    • Chapter on Potential Flow Theory --Potter and Foss
    • On Advanced Potential Flow Theory
    • On Boundary Layer Theory
    • On Thermal Boundary Layer --Marshall
    • On the Blasius solution derivation --Marshall
    • On the Blasius solution derivation --Hellsten
    • Special notes on advanced fluid dynamics
    • On the Doublet by Scott Stewart
    • On some exact Navier-Stokes solutions by Scott Stewart
    • On the velocity gradient tensor
       
• Some References
   
  • Fluid Mechanics (download DJVU.exe)
    • Fluid Mechanics --Kundu and Cohen
    • Fluid Mechanics --Landau and Lifshitz
    • Navier-Stokes Equations: Theory and Numerical Methods --Salvi
    • Transport Phenomena --Bird, Lightfoot and Stewart
    • Fundamentals of Computational Fluid Dynamics --David Zingg
       
  • Introductory to Symbolic Programming
    • Getting Started with Mathematica --Erickson
    • An Introduction to Mathematica --Ramsden and Kent
    • A Brief Introduction to Mathematica --Moretti
       
  • Specialized Mathematica
    • Differential equations with Mathematica --Abell and Braselton
    • Partial Differential Equations and Mathematica --Kythe
    • Nonlinear Physics with Mathematica for Scientists and Engineers --Enns and McGuire
    • Exploring Analytic Geometry with Mathematica --Vossler
    • The Mathematica Book 5th Edition --Wolfram
       
• Assignments <access limited>
  • 1.  Quick Review of Potential Flow Theory –Chapter 8
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  • 2.  Preliminary Concepts –Chapter 1
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  • 3.  Compressible Viscous Flows –Chapter 2
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  • 4.  Solutions of the Newtonian Viscous Flow Equations –Chapter 3
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  • 5.  Laminar Boundary Layers –Chapter 4
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  • 6.  Stability of Laminar Flows –Chapter 5
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  • 7.  Incompressible Turbulent Mean Flows –Chapter 6
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  • 8.  Compressible Boundary Layer Flows –Chapter 7
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