Packaging/Testing OUTPUT RESERVOIR INPUT RESERVOIRS Images: Prof D. Freeman Fall 2003-MA schmidt 3.155] 6.152]-Lecture 22 -Slide 6
Packaging/Testing Images: Prof. D. Freeman Fall 2003 – M.A. Schmidt 3.155J/6.152J – Lecture 22 – Slide 6
Experiment Gravity feed of fluids Requires priming of channel Particles for velocity measurement We will attempt this Dye for diffusion experiments Measurements Particle velocity Diffusion Fall 2003-MA schmidt 3.155J 6. 152]-Lecture 22-Slide 7
Experiment Gravity feed of fluids Requires ‘priming’ of channel Particles for velocity measurement We will attempt this Dye for diffusion experiments Measurements Particle velocity Diffusion Fall 2003 – M.A. Schmidt 3.155J/6.152J – Lecture 22 – Slide 7
Navier-Stokes The navier-Stokes equation for incompressible flow: DU pm Dt nV2U-四P* U = velocity P=pressure(minus gravity body force Pm =fluid density (103 kg/m3 for water) m=viscosity( 10- Pa-s for water Fall 2003-MA schmidt 3. 155]6.152]-Lecture 22-Slide 8
Navier-Stokes The Navier-Stokes equation for incompressible flow: U = velocity P* = pressure (minus gravity body force) Um = fluid density (103 kg/m3 for water) K = viscosity (10-3 Pa-s for water) Fall 2003 – M.A. Schmidt 3.155J/6.152J – Lecture 22 – Slide 8
Poiseuille flow Assume width( w)>> height (h) Neglect entrance effects(L>>h) W X Fall 2003-MA schmidt 3. 155]6.152]-Lecture 22-Slide 9
Poiseuille Flow Assume width (w) >> height (h) Neglect entrance effects (L >> h) h w L y x Fall 2003 – M.A. Schmidt 3.155J/6.152J – Lecture 22 – Slide 9