Instructors: Professor Angela Cheer
Credits: 3 units
Meeting Schedule: Twice a week
Prerequisites: Math. Methods in Population Biology (PBG/ECL 231)
and Computing Modelling in Neurobiology and Cell Physiology (NPB 245) or
consent of the instructor.
The course aims to establish a foundation for discussion and
working relationships in the area of biofluiddynamics among
the graduate students. The first half of the course is
intented to illustrate that
adaptation to fluid flow underlies much biological design and
basic principles of fluid dynamics will be introduced by describing
various phenomena which have been studied from a biofluids
perspective. We hope to provide some intuition
on the nature of the physical
phenomena, discuss what has been done, and present what can be done.
In this part of the course, there
will be no derivation of equations.
The second half of the course will be more rigorous where the
equations of motion will be introduced. The ideas,
fluid quantities and phenomena discussed in the first half of the quarter will,
in the second half, be associated with algebraic and differential
equations. The relationship between the equations and the physics
discussed in the first half of the quarter will be emphasized.
Week 1
(a) Introduction, Dimension.
(b) Fundamental Concepts: Velocity Field, Stress Field, Viscosity.
(c) The Principle of Continuity, Streamlines, Pathlines and Streaklines.
Week 2
(a) Bernoulli's Principle.
(b) Drag, Scale and Reynolds number.
(c) The Biology of Drag, Shape of Drag, Drag in the Forest and Drag at the Seashore.
(d) Streamlining and Drag Coefficients, Shape and Drag of a Small insect.
Week 3
(a) The Boundary Layer on a Flat Surface, The Earth's Boundary Layer.
(b) Forces at and near Surfaces.
(c) Diffusion through Boundary Layers, The Mass of the Boundary Layer. (?) Movies?
(d) Tour of Professor's White's Laboratory.
Week 4
(a) Basic Rules for Laminar Flow, Basic Rules for Turbulent Flow.
(b) Manipulating the Velocity Profile.
(c) The Flow of Blood and Other Body Fluids.
Week 5
(a) The Origin of Lift, Biological Airfoils, Gliding, Soaring, Flapping and Thrust.
(b) Non steady effects.
Week 6 Fluid Kinematics
(a) The Velocity Field: Eulerian and Lagrangian description, One-, Two- and Three-
Dimensional Flow, Steady and Unsteady Flows, Streamlines, Streaklines and Pathlines.
(b) The Acceleration Field: The Material Derivative, Unsteady Effects, and Convective
Effects.
(c) Tour of Professor J. Cech's laboratory.
Week 7
(a) Conservation of Mass - The Continuity Equations.
(b) Newton's Second Law.
(c) More Movies?
Week 8 Inviscid Flow
(a) Euler's Equation of Motion.
(b) Bernoulli's.
(c) Irrotational Flow.
(d) Velocity Potential.
(e) Guess Lectures: Computational Fluid Dynamics (Dwyer and Brown).
(f) Guess Lecture: Mogilner (Topic to be announced).
Week 9 Viscous Flow
(a) Stress-Deformation Relationships.
(b) Navier-Stokes Equations.
Week 10 Viscous Incompressible Flow
(a) Steady, laminar flow between fixed parallel planes.
(b) Couette Flow.
(c) Steady, Axial, Laminar Flow in Circular Tubes.
(d) Project Presentations.