U-M ME 559 - Surface Plasmon Resonance and Energy Transfer (19 pages)

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Surface Plasmon Resonance and Energy Transfer



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Surface Plasmon Resonance and Energy Transfer

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Lecture Notes


Pages:
19
School:
University of Michigan
Course:
Me 559 - Smart Materials and Structures

Unformatted text preview:

2 18 2009 11 Surface plasmon resonance and energy gy transfer February 16 2009 Nanomanufacturing University of Michigan ME599 002 Winter 2009 John Hart ajohnh umich edu http www umich edu ajohnh 2009 A J Hart 1 Announcements Recitation format office hours F10 30 11 30 3427EECS coming up 9am at 2278 GGB HW2 due M Feb 23 Project proposals due W Mar 4 topics confirmed W Mar 11 HW3 due W Mar 11 not distributed yet EXAM W Mar 18 2009 A J Hart 2 1 2 18 2009 Recap small scale flows Wall friction grows nonlinearly as flow scale e g pipe diameter decreases However when wall friction dominates we must consider the nature of molecule wall interactions called slip We define flow regimes by Knudsen number number Kn Lo Gases l mean free path Kn b Lo Liquids b slip length We can superimpose no slip slip effects For gases we must also consider compressibility Slip has been experimentally characterized for a number of systems flow through CNTs is an extreme limiting case 2009 A J Hart 3 Slip at the wall dv H v b dy 2 Eikjel Lab on a Chip 7 299 2007 Arkilic et al J MEMS 6 2 167 1997 H 2 2009 A J Hart 4 2 2 18 2009 What s the molecular origin of slip Fluid fluid interactions are stronger than fluid wall interactions e g hydrophobicity Surface roughness traps gas molecules dissolved in the liquid creating a lubrication layer at the wall Here what h happens at high hi h R Re Molecules hop between minimum energy sites in the wall lattice therefore slip is a rate process and slip length depends on temperature Squires and Quate Rev Mod Phys 77 977 2005 Lichter et al Phys Rev Lett 98 226001 2007 2009 A J Hart 5 Discrete fluid layers at the wall Karniadakis and Beskok 2009 A J Hart 6 3 2 18 2009 Extreme slip flow through CNTs Majumder et al Nature 438 44 2005 2009 A J Hart 7 Measuring gas flows in microchannels Arkilic et al J MEMS 6 2 167 1997 2009 A J Hart 8 4 2 18 2009 10 12 kg s 10 4 cm3 s Arkilic et al J MEMS 6 2 167 1997 2009 A J Hart 9 Arkilic et al J MEMS 6 2 167 1997 2009 A J Hart



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