www.che512.org
© 2007 by
L. C. Nitsche
ChE 512 - Spring 2007
ChE 512 - Spring 2007
Microhydrodynamics, Diffusion and Membrane Transport
Microhydrodynamics, Diffusion and Membrane Transport
Week #01: January 15-19, 2007 (Classes #01-02)
Reading in Lecture Notes:
Section(s) 1 & 2
Aris chapters 1-3 (review as needed, please see Reading #01 in the Documents page)
MATERIAL
- Computations for Cartesian vectors and tensors using index notation
- Assumptions and equations governing potential flow
LEARNING GOALS
Upon reviewing the material for this week,
you should be able to:
- Describe the conventions of index notation for single and repeated indeces.
- State the assumptions underlying potential flow.
- Derive Laplace's equation for the velocity potential by appropriately simplifying
the Navier-Stokes equations.
- State and explain the boundary conditions for an inviscid fluid adjacent to
a solid surface or liquid-liquid / liquid-gas interface.
- Derive the relevant analog of Bernoulli's equation for the pressure field.
- State the Reynolds transport theorem.
PROBLEM-SOLVING SKILLS
After doing the homework for this week,
you should be able to:
- Translate between invariant and index notation.
- Compute the gradient and Laplacian of a scalar function
- Compute the divergence and curl of a vector field
- Prove selected vector/tensor identities.
- Calculate surface and volume integrals in spherical coordinates.