30357_lectures

Lecture index

8/22/17 — Defining transport phenomena and the scope of problems it encompasses

8/24/17 — Scope of bio/physio fluid mechanics problems of interest, e.g., blood, breathing, glymphatic, medical devices, etc.

8/24/17 — Oxygen solubility in blood

8/29/17 — More overview, branching of blood vessels, need for momentum conservation equation

8/31/17 — “Shell balance” (differential) formulation for derviation of mass and momentum conservation.

9/5/17 — Stress tensor, body forces and completion of derviation of Cauchy Momentum equation.

9/7/17 — Need for a constitutive equation for stress, the Navier-Stokes equation, some simple examples.

9/12/17 — Velocity profiles and volume average flows in planar geometries caused by sliding surfaces, pressure differences and gravity.

9/14/17 — Pressure driven flow in a circular pipe and the sensitivity of flow on radius. Rotating Couette flow

9/19/17 — Boundary conditions, rotating flows, catheter flow, Reynolds number and the transition to turbulence.

9/21/17 — Some nonNewtonian fluids, blood flow

9/26/17 — Review lecture for first test

10/5/17 — Allometric data, dimensional reasoning, dimensional analysis, Murray’s Law — operating versus capital costs for optimization

10/10/17 — Finite width and non-circular cross sections, nondimensionalization of Naiver-Stokes equations

10/12/17 — Aerosol drug delivery:  Flow past a spherical particle, need for a limiting (solvable) problem.  

10/24/17 — Effect of Reynolds number on flow past a bluff body, Creeping flow past a sphere, 

10/26/17 — Settling velocity, viscosity of a suspension, Flow in lungs

10/31/17 — Need for integrated equations for complex flows, derivation of integrated equations.

11/2/17 — Use of mass and momentum equations to solve  (i.e., get vector force)  flowsof interest (e.g., pipe fittings and artery branching)

11/7/17 — Review for 2nd test, scaling, creeping flow, macroscopic momentum balance

11/14/17 — Need for an additional equation to solve some complex flows — 1st law of thermodynamics!

11/16/17 — Derviation of Engineering Bernoulli equation and its use

11/21/17 — Use of Bernoulli equation

11/21/17 — Applications of fluid mechanics to cardiology

11/28/17 — “Boundary layer” flows and their ubiquitous occurrence 

11/30/17 — Boundary layers in heat and mass transfer, derivation of boundary layer equations of fluid mechanics

12/5/17 — “Solution” of boundary-layer flows with similarity variable, applications of results.

12/7/17 — Lubrication flows and applications to joints.  

 Final Exam review








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