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Massachusetts Institute of Technology

Analysis of Transport Phenomena: Mathematical Formulation

Massachusetts Institute of Technology via MITx Online

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Overview

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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

  • Formulation of continuum models and their exact and approximate solution
  • Scaling, dimensional analysis, and similarity solutions
  • Perturbation methods, matched asymptotic expansions
  • Fourier series, eigenfunction expansions
  • Fluid dynamics, waves, capillary phenomena, and instabilities
  • Forced and natural convection
  • Phase transformations and electrochemical transport

Taught by

Martin Bazant and Joey Gu

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