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S15_NME220_Lecture22_Nanofluidics

S15_NME220_Lecture22_Nanofluidics - Lecture 22 Nanofuidics...

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Lecture 22: Nanofuidics and nanobio I Prof. James M. Carothers June 3, 2015 S15 NME 220
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Nanofuidics Goal: Introduce concepts that dictate fuid fow at nanoscale dimensions. Fluid motion Continuum phenomena Navier-Stokes – Problem Newtonian fluids Nanoscale fluid flow Reynold's number Molecular diffusion Fick's laws Problem Role of water in biology Random thermal motion
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Fluid motion – continuum phenomena Fluids: Continually deform under shear stress Molecules are not fixed to a lattice as in a solid Unlike gases, fluids form free surfaces (surface not induced by container) Considerations for modeling fluid molecule behaviors: Exhibit Brownian motion due to individual thermal energies and cannot be tracked Fluid properties are the same throughout a given volume Fluids are infinitely divisible such that differential calculus can be applied Problem: Under what conditions can density (m/V) be used to describe a fluid?
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Fluid motion – Navier-Stokes –1
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