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© 2007 by
L. C. Nitsche
ChE 512 - Spring 2007
ChE 512 - Spring 2007
Microhydrodynamics, Diffusion and Membrane Transport
Microhydrodynamics, Diffusion and Membrane Transport
Week #06: February 19-23, 2007 (Classes #11-12)
Reading in Lecture Notes:
Section(s)
9 & 10
MATERIAL
- Spherical surface integrals for virtual masses:
source versus dipole, pulsatile versus translational motion
- Nonlinear drift and finite amplitude correction for a
sphere oscillating perpendicular to a wall
- Application of the method of images
- Asymptotic magnitudes of reflection terms
LEARNING GOALS
Upon reviewing the material for this week,
you should be able to:
- Explain the reason for nonlinear oscillatory drift and its
finite amplitude correction
PROBLEM-SOLVING SKILLS
After doing the homework for this week,
you should be able to:
- Estimate the magnitude of reflection
solutions at verious orders
- Implement and program the method of images
to calculate virtual masses and oscillatory drift
force coefficeints for a sphere moving perpendicular
to a planar wall
- Calculate and plot streamlines for an arbitrary
2d flow field.