Spring 2013
ENE 801: Dynamics of Environmental Systems
 

Content
Date
Lec #
Subject
Reading
Notes
         
Mo,
Jan 07
1 Course overview

 
Part I: Reaction Kinetics and Reactor Engineering
    Module 1:
Conservation laws. Reaction kinetics. Partitioning
 
Wd,
Jan 09
2 Conservation laws. Fundamental quantities and units

Example problem #5

Ch. 1
Fr,
Jan 11
3
Mo,
Jan 14
4  
Wd,
Jan 16
5  
Mo,
Jan 18
6  
Mo,
Jan 21
MLK day: no class
Wd,
Jan 23
     Lecture postponed until Monday, January 28
 
Fr,
Jan 25
7

Stoichiometry and reaction kinetics

  • Irreversible reactions (zero order, 1st order, 2nd order, parallel reactions). Examples
    estimating reaction order - integral and differential methods
  • Reversible reactions
  • Effect of temperature on the reaction rate. Arrhenius equation

Example problem #6 - analytical and numerical solutions
Example problem #7: formulation and derivation of the solution and analytical and numerical solutions

Ch. 9  
Mo,
Jan 28
8  
Mo,
Jan 28
9 Make up lecture (11:30am-12:20pm, 173 COM)
handout
 
Wd,
Jan 30
10

Adsorption/desorption. Partition coefficients

Paper "The constitution and fundamental properties of solids and liquids. Part I. Solids" By Irving Langmuir. Received September 5, 1916

Ch. 4, handout
Fr,
Feb 1
11 Lake with molecular pollutant that partitions between the dissolved and particulate phases    
Mo,
Feb 4
12

Microbial growth kinetics
Michaelis-Menten/Monod model. Substrate-limited growth

handouts  
    Module 2:
CSTR and PFR modeling
   
Wd,
Feb 6
13

Continuously stirred tank reactors (CSTRs).

  • Batch reactors and CSTRs
  • Mass balance on CSTR
  • CSTRs with reactions
  • Loading functions
  • Characteristic time scales
  • Transient and steady-state solutions
  • CSTRs in series

Modeling of natural and engineered systems

  • Example 1: Activated sludge reactor
  • Example 2: Pollutant transport in a lake with liquid-solid phase transfer. Sorption/partitioning

Board notes on modeling of CSTR with different loadings

Example problem #10 (formulation only)

Ch. 10, handouts  
Fr,
Feb 8
14 HW#1 due
Mo,
Feb 11
15
Wd,
Feb 13
16

Plug flow reactors (PFRs). Stream modeling

Example problem #11 (formulation and solution)

  • Characteristic time scales
  • Point and distributed sources
  • CSTR-PFR comparison

Example problem #12A
Example problem #12B (formulation and solution)

  • Plug flow with dispersion. Non-ideal reactors
  • Time-dependent solutions: Impulse and continuous inputs
Ch. 10, handouts  
Fr,
Feb 15
17 HW#2 due
Mo,
Feb 18
18 HW#2 due
Wd,
Feb 20
19 Modeling of natural and engineered systems

Streeter-Phelps model: board notes, example problems
Ch. 10
Fr,
Feb 22
20
Mo,
Feb 25
21 HW#3 due
Wd,
Feb 27
Review for the midterm exam
Midterm exam preparation guide
Fr, Mar 1

Midterm exam
solutions (posted on March 19)

Mo,
Mar 4
Spring break
Wd,
Mar 6
Fr,
Mar 8
    Part II: Fluid Flow and Mass Transfer    
Mo,
Mar 11
Lecture postponed until Monday, March 18
Module 3:
Navier-Stokes equations. Creeping flow. Flow in porous media

 
Wd,
Mar 13
22 Navier-Stokes equations.
Euler's equation. Bernoulli's equation
Ch. 5 (5.1 - 5.10)  
Fr,
Mar 15
23  
Mo,
Mar 18
24 Make up lecture (11:30am-12:20pm, 173 COM)
Mo,
Mar 18
25

Stokes equation. Hagen- Poiseuille flow

Poiseuille flow in track etch membranes
example problem #16: formulation & solution, accompanying calculations

Ch. 5 (5.12 - 5.14)
 
Wd,
Mar 20
26  
Fr,
Mar 22
27  
Mo,
Mar 25
28

Stokes equation. Flow in porous medium
Carman-Kozeny equation

Wd,
Mar 27
29    
Fr,
Mar 29
30 Stokes settling.
Creeping flow around solid particles, bubbles, and droplets
  HW#4 due
    Module 4:
Momentum and mass transport in turbulent flows


 
Mo,
Apr 1
28

Momentum and mass transport in turbulent flows.
Turbulence. Eddy viscosity

 Ch. 5 (5.16),

handouts
 
Wd,
Apr 3
 29

Mixing. Kolmogorov scale

 

Fr,
Apr 5

30

Closure problem. Prandtl mixing length. Universal velocity distribution law. Accounting for roughness of environmental interfaces

 
Mo,
Apr 8
 31

Headloss in pipes with turbulent flow.
Darcy-Weisbach equation

 
         
    Module 5:
Diffusion. Advection-diffusion equation
Wd,
Apr 10
32

Diffusive mass transport. Embayment model

Ch. 6  
Fr,
Apr 12
33


Diffusion equation. Advection-diffusion equation.
Diffusion from a plane into stagnant fluid

Ch. 7 HW#5 due
Mo,
Apr 15
34

Stokes-Einstein equation. Dispersion

Wd,
Apr 17
35

Turbulent diffusion. Advection-dispersion equation.

Mass transfer coefficients: Correlations
Concentration polarization and diffusional relaxation

Fr,
Apr 19
36 HW#6 due
Mo,
Apr 22
37 Ch. 7 (7.8)
handout
Wd,
Apr 24
 

Recitation. Review for the final exam

Fr,
Apr 26
Recitation. Review for the final exam.
Class canceled. (Engineering Design Day at MSU)
Th,
May 2
10 am - noon
Final exam