advanced transport phenomena 10.528 instructor: dr. nese orbey office: engineering building 304...
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Advanced Transport Phenomena 10.528
Instructor: Dr. Nese OrbeyOffice: Engineering Building 304
Office Phone: 978-934-3141E-mail: [email protected]
Office hours: TBD
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Pressurized Water Reactor
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Boiling Water Reactor
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PEM Fuel Cell
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Transport Phenomena
• Fluid dynamics - transport of momentum • Heat transfer - transport of energy• Mass transfer - transport of mass of various
chemical species
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Why study these three phenomena together?
• Occur simultaneously• Basic equations are similar solution “by
analogy”• Molecular mechanisms are very closely
relatedViscosity, μthermal conductivity, kDiffusivity, D
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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
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Mathematical FormulationFundamental Physical Principles (Basic concepts)• Conservation of mass• Conservation of chemical species• Conservation of momentum• Conservation of energy
Inventory EquationsRate in –Rate out+ Rate of generation = Rate of
accumulation
Constitutive Equations• Newton’s Law of viscosity• Fourier’s Law • Fick’s Law
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Levels of Transport Phenomena
• Macroscopic Level• Microscopic Level• Molecular Level
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Sir Isaac Newton1642-1727 Jean Baptiste Joseph Fourier
1768 – 1830
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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
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Molecular InteractionsChapman -Enskog TheoryForce of attraction is related to the potential energy
Lennard-Jones potentialEquation 1.4-10
σ:collision diameterε: energy of interaction
Ωμ : f(KT/ε)
Appendix E Table E.2