Advanced Fluid Mechanics

ME2102

Course Outline

1. Basics of Fluid Kinematics

       Substantial Derivatives, Motion of Fluid Elements, Kinematic Quantities of Flow Fields, Divergence of a Flow Field, Translation, Deformation and Rotation of Fluid Elements

2. Basics of Fluid Dynamics

Mass Conservation (Continuity Equation), Newton’s Second Law and Momentum Equation, The Navier-Stokes Equations, Mechanical Energy Equation, Thermal Energy Equation, Special Forms of the Basic Equations

3. Vorticity Dynamics

Introduction, Vortex Lines and Vortex Tubes, Role of Viscosity in Rotational and Irrotational Vortices, Kelvin’s Circulation

Theorem, Vorticity Equation in a Non-rotating Frame, Velocity Induced by a Vortex Filament: Law of Biot and Savart

Vorticity Equation in a Rotating Frame, Interaction of Vortices, Vortex Sheet

4. Laminar Boundary Layer Flow 

Introduction, Boundary Layer Approximation, Different Measures of Boundary Layer Thickness, Boundary Layer on a Flat Plate:

Blasius Solution, Von Karman Momentum Integral, Effect of Pressure Gradient, Separation, Description of Flow past a Circular

Cylinder, Description of Flow past a Sphere, Dynamics of Sports Balls, Two-Dimensional Jets, Secondary Flows, Decay of a

Laminar Shear Layer

5. Instability and Transition of Fluid Flow

Introduction, Characteristics of Turbulent Flows, Sources of Turbulence, Hydrodynamic Instability Theory, Transition Structures,

Velocities in Turbulence: Reynolds Decomposition, Kinetic Energy of Turbulence, Linear Stability Equations,  Derivation of

Equations, Orr-Sommerfeld Equation, Properties of Orr-Sommerfeld Equation, Temporal and Spatial Theory, Flat-Plate Boundary

-Layer Instability, Linear Instability of Axisymmetric Jet

6. Introduction to Turbulence

Introduction, Properties of Turbulent Flow, Fluctuations and Time-Averaging, General Equations of Turbulent Flow, Turbulent Boundary

Layer Equation, Flat Plate Turbulent Boundary Layer, Turbulent Pipe Flow, Prandtl Mixing Hypothesis, Turbulence Modeling

 

 

Course Outline in PDF

· Graebel W.P., “Advanced Fluid Mechanics”, Elsevier, New York, 2007.

· Kundu, P. K., Cohen, I.M., “ Fluid Mechanics”, 5^th Edition, Elsevier Inc., 2012

· Durst F., “Fluid Mechanics”, Springer-Verlag Berlin Heidelberg, 2008.

· Van Dyke M., “An Album of Fluid Motion”, Stanford, Parabolic Press, 1982.

References

· Assignments: 10%

· Final Exam: 70%

· Individual Project or Studying: 10%

Grading

Phone: +98-25-3210-3532

Fax: +98-21-000000

E-mail: mk.moayyedi [at] qom.ac.ir

 

 

 

 

 

 

 

· HW No.1

· HW No.2

· HW No.3

· HW No.4

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Homeworks