Nondimensional
What is the Buckingham II equation? What does it tell you?
# of dimensionless groups = # variables/parameters - #fundamental dimensions
What is the name of the Apple Juice CSTR?
Juicenator
What is the general balance equation?
Accum = In - Out + Gen - Con
What is rule #2 for method of undetermined coefficients?
Your yp,guess cannot match your yH solution, if it does multiply by x to remove repeats
Henry is a ______________
Dinosaur
What is the rule of thumb for nondimensionalization?
Order of Magnitude 1
What does the "PI" stand for in PI-Controller?
Proportional-Integral
What assumption results in the following?
dC/dt = 0
steady-state
How would you solve the following for yp?
g(x) = ln(x)
Variation of Parameters
What animal was used as an example in Lecture 14?
JackRabbit
How do we typically nondimensionalize our dependent variable?
current change / total change
Why can P controllers not eliminate offset?
CO = Bias + Kc (SP -PV)
What is the assumption for the concentration leaving a CSTR?
well-mixed (e.g., concentration within the tank)
How would you solve the following?
y'' + 2y' = x2 + 4
characteristic equation + method of undetermined coefficients (or VOP)
There is a couch in Dr. Kat's office, what color is it?
Orange
What nondimensional group is this?
(k Co L) / (D)
(Damkohler) kinetics compared to diffusion
Why is having a large gain for your controller bad?
Overshoot (Overcorrecting) Response
How would you write the GEN term for a compound B being generated via a second order reaction (k) in a batch reactor?
A --> B
kCA2V
How would you solve the following?
y' + 3y = ex
Integrating Factor
Dr. Kat and this ChemE Professor share a birthday.
Will Tarpeh
What is the Biot (Bi) number represent?
Bi = hLc / k
convection compared to conduction heat transfer
Increasing the length of the pipe between the measurement device and the outlet of the CSTR increases the error in how the controller responds. Why?
Delayed response
What is the Laplacian expansion for the r-direction in spherical coordinates?
1/r2 d/dr(r2 d/dr)
What would your yp, guess be?
y'' + y = 3x2ex
(Ax2 + Bx + C)(Dex)
What cartoon character was seen in Lecture 22?
Spongebob