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Brian J. Kirby, PhD

Powerpoint Slides to Accompany Micro- and Nanoscale Fluid Mechanics: Transport in Microfluidic Devices . Chapter 2. Brian J. Kirby, PhD Sibley School of Mechanical and Aerospace Engineering, Cornell University, Ithaca, NY. Ch 2: Unidirection al Flow.

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Brian J. Kirby, PhD

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  1. Powerpoint Slides to AccompanyMicro- and Nanoscale Fluid Mechanics: Transport in Microfluidic Devices Chapter 2 Brian J. Kirby, PhD Sibley School of Mechanical and Aerospace Engineering, Cornell University, Ithaca, NY

  2. Ch 2: Unidirectional Flow • The Navier-Stokes equations can be solved analytically if certain simplifications are made • The convection term is zero for flow in long, unidirectional channels • Two simple solutions include Couette Flow and Poiseuille Flow

  3. Sec 2.1.1: Couette Flow • Couette flow is the flow between two infinite parallel plates with no pressure gradient • Couette flow has no acceleration, no net pressure forces, no net convective transport, and no net viscous forces

  4. Sec 2.1.1: Couette Flow • The velocity distribution in a Couette flow is linear • The viscous stress in a Couette flow is uniform

  5. Sec 2.1.2: Poiseuille Flow • Hagen-Poiseuille flow is the flow in an infinite circular tube driven by a uniform pressure gradient • Poiseuille flow describes a steady balance between net pressure forces and net viscous forces

  6. Sec 2.1.2: Poiseuille Flow • The concavity of the velocity in a Poiseuille flow is uniform • The Reynolds number indicates whether the laminar solution is observed

  7. Sec 2.2: Startup and Development of Unidirectional Flows • Startup describes the temporal dependence of a flow as the boundary starts moving or the pressure is applied • Development describes the spatial dependence of a flow as it moves from an entrance to a region where entrance effects can be ignored

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