1. Advanced Transport Phenomena 10.528 Instructor: Dr. Nese Orbey Office: Engineering Building 304 Office Phone: 978-934-3141 E-mail: Nese_Orbey@uml.edu Office hours: TBD

2. Pressurized Water Reactor

3. Boiling Water Reactor

4. PEM Fuel Cell

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

6. 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

7. 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

8. 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

9. Levels of Transport Phenomena Macroscopic Level Microscopic Level Molecular Level

10. Sir Isaac Newton 1642-1727 Jean Baptiste Joseph Fourier 1768 – 1830

11. Transport Coefficients For low Density Gases Kinetic theory of gases Molecules are rigid and spherical No interaction between molecules Equation 1-4-9 m:mass d:diameter K:Boltzman constant

12. Molecular Interactions Chapman -Enskog Theory Force of attraction is related to the potential energy Lennard-Jones potential Equation 1.4-10 σ:collision diameter ε: energy of interaction Ω μ : f(KT/ε) Appendix E Table E.2