Advanced Transport Phenomena 10.528 Instructor: Dr. Nese Orbey Office: Engineering Building 304 Office Phone: 978-934-3141 Office.

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Presentation transcript:

Advanced Transport Phenomena Instructor: Dr. Nese Orbey Office: Engineering Building 304 Office Phone: Office hours: TBD

Pressurized Water Reactor

Boiling Water Reactor

PEM Fuel Cell

Transport Phenomena Fluid dynamics - transport of momentum Heat transfer - transport of energy Mass transfer - transport of mass of various chemical species

Why study these three phenomena together? Occur simultaneously Basic equations are similar solution “by analogy” Molecular mechanisms are very closely related Viscosity, μ thermal conductivity, k Diffusivity, D

APPROACH 1.Understand the system; conceptualize 2. Apply fundamental laws Determine constitutive equations Determine boundary conditions 3. Solve the equations with boundary conditions 4. Interpret physically

Mathematical Formulation Fundamental Physical Principles (Basic concepts) Conservation of mass Conservation of chemical species Conservation of momentum Conservation of energy Inventory Equations Rate in –Rate out+ Rate of generation = Rate of accumulation Constitutive Equations Newton’s Law of viscosity Fourier’s Law Fick’s Law

Levels of Transport Phenomena Macroscopic Level Microscopic Level Molecular Level

Sir Isaac Newton Jean Baptiste Joseph Fourier 1768 – 1830

Transport Coefficients For low Density Gases Kinetic theory of gases Molecules are rigid and spherical No interaction between molecules Equation m:mass d:diameter K:Boltzman constant

Molecular Interactions Chapman -Enskog Theory Force of attraction is related to the potential energy Lennard-Jones potential Equation σ:collision diameter ε: energy of interaction Ω μ : f(KT/ε) Appendix E Table E.2