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MAE 5130: VISCOUS FLOWS

MAE 5130: VISCOUS FLOWS. Lecture 1: Introduction and Overview August 17, 2010 Mechanical and Aerospace Engineering Department Florida Institute of Technology D. R. Kirk. COURSE OVERVIEW. Study of Viscous Flows → Flows of Engineering and Scientific Interest

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MAE 5130: VISCOUS FLOWS

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  1. MAE 5130: VISCOUS FLOWS Lecture 1: Introduction and Overview August 17, 2010 Mechanical and Aerospace Engineering Department Florida Institute of Technology D. R. Kirk

  2. COURSE OVERVIEW Study of Viscous Flows → Flows of Engineering and Scientific Interest • Review of fluid mechanics, properties, vector calculus, kinematics, thermodynamics, and heat transfer (4-5 lectures) • Derivation of governing equations of motion for fluid flows (5-6 lectures) • Navier-Stokes equations in full glory • Differential form • Integral (control volume) form • Gain physical insight into what various terms in equations represent • Supplemented with examples and non-dimensionalization • Common (analytical) solutions to N-S equations (~ 10 lectures) • Examples and applications • Note that N-S equations are fundamental and rigorous, but non-linear, non-unique, complex and difficult to solve (does a solution even exist?) • Boundary layers (important even in flows with low viscosity) (~10 lectures) • Laminar • Stability and transition • Turbulent (also turbulent bulk mean flow) • Application and examples of engineering interest

  3. NAVIER-STOKES EQUATIONS

  4. EXAMPLES OF EXTERNAL AND INTERNAL B.L.

  5. EXAMPLE: VORTICITY ARUND A BEND Baroclinic Torque Case 1 Case 2

  6. EXAMPLE: VORTICITY AROUND A STRUT

  7. EXAMPLE: VORTICITY AROUND A STRUT

  8. EXAMPLE: VARIABLE DENSITY CONTRACTION

  9. EXAMPLE: SHOCK ENHANCED MIXING

  10. STREAMLINE AND STREAM FUNCTION EXAMPLE y=0 y=1 y=2 f=0 f=1 f=2

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