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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. Pressurized Water Reactor. Boiling Water Reactor. PEM Fuel Cell. Transport Phenomena.
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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
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 • 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 1642-1727 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 1-4-9 m:mass d:diameter K:Boltzman constant
Molecular InteractionsChapman -Enskog TheoryForce of attraction is related to the potential energy Lennard-Jones potential Equation 1.4-10 σ:collision diameter ε: energy of interaction Ωμ: f(KT/ε) Appendix E Table E.2