Introduction: Continuum hypothesis,
System and Control Volume, Intensive and Extensive Properties,
Newtonian and non-Newtonian Fluids. Diffusive processes: Newton's Law,
Fourier's Law, Fick's Law. Elements of Tensor Analysis. Euler
and Lagrange derivatives. Methods for describing flow fields. Governing
equations in integral
and differential form: Mass, momentum and energy equations. Dimensional
similitude. Turbulence: Closure, k-ε model, Reynolds Stress model, LES
model, PDF models. Heat and Mass Transfer: governing equations.
Constitutive for multi-component fluids. Chemical Kinetics. Examples.
Nonlinear Dynamics - Multiscale Analysis (Program in Computational Mechanics)
Boundary Layer Behavior, Steady BLs (spatial multiscale): 2-point BV
problem, Time dependent BLs (temporal multiscale):
O'Malley-Vasil'eva expansion, Evolution equations: (temporal and
spatial multiscale), Averaging, WKB methods, Algorithmic asymptotic