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Advanced Transport Phenomena I - (Fall 2004)

Syllabus

Balance Laws
Forces and Stresses, balance laws for mass, linear momentum and energy.

Continuum Mechanics
Continuum hypothesis, vector calculus, Cartesian tensors, Lagrangian, Eulerian viewpoints.

Exact Solutions of the Navier-Stokes Equations
Steady rectilinear flows, unsteady flows, flows with special geometry.

Approximate Solutions of the Navier-Stokes Equations
Dimensional analysis, motion of small particles, low Reynolds number flows, lubrication theory, boundary layer flows.

Additional Topics
Non-Newtonian flows, rheology, turbulence, displacement of fluids in porous media, flow of fluid-particle suspensions, hydrodynamic stability.

Hydrodynamics Stability
Displacement of fluids in porous media, Orr-Sommerfeld equations, Taylor-Couette flow.

Heat and Mass Transfer in Forced Convection
Transfer in internal flows, boundary layers.

Natural Convection
Natural convection between vertical plates, natural convection boundary layers.