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Massachusetts Institute of Technology

Analysis of Transport Phenomena: Fluid Mechanics

Massachusetts Institute of Technology via MITx Online

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Graduate-level introduction to mathematical modeling of heat and mass transfer (diffusion and convection), fluid dynamics, chemical reactions, and phase transformations.

Syllabus

  • Unidirectional Couette and Poiseuille flows
  • Lubrication approximation and the Reynolds lubrication equation
  • Linear and nonlinear waves and the method of characteristics
  • Tensor algebra and calculus for continuum mechanics
  • Navier–Stokes equations
  • Creeping flow at low Reynolds number
  • Inertial flow at high Reynolds number; turbulence
  • Interfacial tension, wetting, and thin films
  • Linear stability analysis

Taught by

Martin Bazant and Joey Gu

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