Colorado State University
Department of Chemical and Biological Engineering
CBE 333: Chemical and Biological Engineering Lab I
Fluid Flow
Fall 2016
OBJECTIVES
The mechanical energy balance is applied to fluid flow in two experiments. One experiment
explor

Linear Algebra
A Solution Manual for
Axler (1997), Lax (2007), and Roman
(2008)
Jianfei Shen
School of Economics, The University of New South Wales
Sydney, Australia
2009
I hear, I forget;
I see, I remember;
I do, I understand.
Old Proverb
Contents
Part I

CBE 442: Separation Processes
Homework Assignment #1
Due: Friday, September 2, 2016
*Note: only some problems will be graded
1. Seader/Henley/Roper 4th Ed. Problem 1.20
2. SHR4 Problem 2.20
3. SHR4 Problem 4.33
4. Your boss has given you the task of desig

H O U S IN G & D I N IN G S ER VIC ES
ACADEMIC YEAR STUDENT HOUSING AGREEMENT
This Agreement is made and entered into on the date signed below, by and between the Board of Governors of the Colorado State University System,
acting by and through Colorado S

Optimization and Quadratic Forms
Optimization
Suppose we have a (nonlinear) cost function, F : Rn,1 ! R, that evaluates the
relative costs associated with quantities x = [x1 x2 xn ]T . We would like to find
the values x for which F (
x) is a minimum. What

The question we want to answer now is the following:
If A is not similar to a diagonal matrix, then what is the simplest matrix that A
is similar to?
Before we can provide the answer, we will have to introduce a few definitions.
Definition: A square matri

Estimate Parameters in Linear Models
Suppose we have a linear model that maps parameters to predicted quantities (or system states): T ( ) : Rm,1 ! Rn,1 . We can represent this map by
the linear system:
f =A .
(1)
We will perform an experiment in which we

Table of Contents
Homework C .
Loading Data .
Design Matrix .
Plots .
Easy Way to find the parameters .
1
1
1
3
5
Homework C
clc
clear all
Loading Data
Yi=[49;50.2;50.5;48.5;47.5;44.5;28;31.5;34.5;35;38;38.5;15;17;20.5;29.5];
x1=[1300;1300;1300;1300;1300;

CBE 521
Ordinary Differential Equations
D. For the system:
0
y =
1 2
1
3
y
(a) Find the transition matrix (t, t0 ).
(b) Sove the initial value problem:
1 2
0
y =
y+f
1
3
with f =
0 1
T
and y(0) =
1 1
T
, and plot the solution.
E. Find a fundamental matrix

CBE 521
DIMENSIONAL ANALYSIS
Empirical correlations are equations that relate physical quantities for processes that
are geometrically similar. The steps in developing a correlation are: (1) write down
the physical quantities that are important for the pr

CBE 521 DIMENSIONAL ANALYSIS
Problem A
Suppose you would like to develop a correlation to determine the force exerted by the flow of fluid external to a solid body. Choose the significant
physical quantities to be the force exerted on the body (F ), the f

Gram-Schmidt for functions: Legendre polynomials
S. G. Johnson, MIT course 18.06, Spring 2009 (supplement to textbook section 8.5)
March 16, 2009
Most of 18.06 is about column vectors in Rm or Rn and m n matrices. But we observed early on that
there are m

% Homework Problem B
clc
clear all
% function f
f=@(t) sin(pi*t);
t = linspace(0,1,50);
% function g
g=@(t)(2*sqrt(5)*(pi^2)-12)/(pi^3)*(sqrt(5)*(6*(t.^2)-6*t+1)+(2/
pi);
% Plots
figure
plot(t,f(t)
hold on
plot(t,g(t),'+')
legend('f','g')
xlabel('t')
titl