DEPARTMENT OF CHEMICAL ENGINEERING
University of California, Santa Barbara
ChE 230A / ME 244A
Fall 2005
Instructor: Prof. Brad Chmelka
ADDITIONAL REFERENCES
Texts:
1.
G. B. Arfken and H. J. Weber, Mathematical Methods for Physicists, Academic
Press, 1995.
DEPARTMENT OF CHEMICAL ENGINEERING
University of California, Santa Barbara
ChE 230A / ME 244A
Fall 2005
INFORMATION SHEET
"Advanced Theoretical Methods in Chemical Engineering"
Engineering II, Room 3301
Enrollment Code: 04986
Lectures:
Tuesday, Thursday:
Department of Chemical Engineering
University of California, Santa Barbara
Fall, 2005
ChE 230A / ME 244A
Problem Set No. 8
Due December 1, 2005
Problem 23:
The surface of a unit sphere is illuminated with a beam of radiation so that the surface
temperatur
Department of Chemical Engineering
University of California, Santa Barbara
ChE 230A
Instructor: Glenn Fredrickson
Fall 2006
Homework #7
Homework Due: Thursday, December 7, 2006
1. Prepare solutions to the following problems in your RHB text: 21.6, 21.7, 2
Department of Chemical Engineering
University of California, Santa Barbara
ChE 230A
Instructor: Glenn Fredrickson
Fall 2006
Homework #6
Homework Due: Wednesday, November 22, 2006
1. In high-speed aerodynamics, the variation of air density due to motion is
Department of Chemical Engineering
University of California, Santa Barbara
ChE 230A
Instructor: Glenn Fredrickson
Fall 2006
Homework #5
Homework Due: Thursday, November 2, 2006
1. Consider a problem of one-dimensional heat conduction along a semi-innite r
Department of Chemical Engineering
University of California, Santa Barbara
ChE 230A
Instructor: Glenn Fredrickson
Fall 2006
Homework #4
Homework Due: Thursday, October 26, 2006
1. Prepare solutions to the following problems in your Riley, Hobson, and Benc
Department of Chemical Engineering
University of California, Santa Barbara
ChE 230A
Instructor: Glenn Fredrickson
Fall 2006
Homework #3
Homework Due: Thursday, Oct. 19, 2006
1. Prepare solutions to the following problems in your Riley, Hobson, and Bence
t
Department of Chemical Engineering
University of California, Santa Barbara
ChE 230A
Instructor: Glenn Fredrickson
Fall 2006
Homework #2
Homework Due: Thursday, Oct. 12, 2006
1. Use the Gram-Schmidt procedure to construct a set of orthogonal polynomials
ov
Department of Chemical Engineering
University of California, Santa Barbara
ChE 230A
Instructor: Glenn Fredrickson
Fall 2006
Homework #1
Homework Due: Thursday, October 5, 2006
1. Apply for an account to use the Engineering Computing Infrastructure (ECI)
w
APPENDIX C
CALCULUS OF FUNCTIONALS
In order to understand the eld-based approach to modelling inhomogeneous
uids, it is necessary to have a basic familiarity with the calculus of functionals
(Volterra, 1959). This broad subject includes topics such as fun
Department of Chemical Engineering
University of California, Santa Barbara
ChE 230A
Instructor: Glenn Fredrickson
Fall 2006
Discussion Topic #12
For Discussion Section: Friday, December 1, 2006
Consider the solution of Poissons equation 2 u(x, y ) = (x, y
Department of Chemical Engineering
University of California, Santa Barbara
ChE 230A
Instructor: Glenn Fredrickson
Fall 2006
Discussion Topic #11
For Discussion Section: Friday, December 1, 2006
Consider the solution of the potential equation 2 u(x, y ) =
Department of Chemical Engineering
University of California, Santa Barbara
ChE 230A
Instructor: Glenn Fredrickson
Fall 2006
Discussion Topic #9
For Discussion Section: Friday, November 3, 2006
Discuss how the calculus of variations can be used to solve mi
Department of Chemical Engineering
University of California, Santa Barbara
ChE 230A
Instructor: Glenn Fredrickson
Fall 2006
Discussion Topic #8
For Discussion Section: Friday, November 3, 2006
Discuss how the calculus of variations can be used to solve mi
Department of Chemical Engineering
University of California, Santa Barbara
ChE 230A
Instructor: Glenn Fredrickson
Fall 2006
Discussion Topic #6
For Discussion Section: Friday, October 13, 2006
1. Using Mathematica, Matlab, or another software tool, provid
Department of Chemical Engineering
University of California, Santa Barbara
ChE 230A
Instructor: Glenn Fredrickson
Fall 2006
Discussion Topic #5
For Discussion Section: Friday, October 13, 2006
1. Discuss the convolution theorem for Fourier transforms and
Department of Chemical Engineering
University of California, Santa Barbara
ChE 230A
Instructor: Glenn Fredrickson
Fall 2006
Discussion Topic #4
For Discussion Section: Friday, October 6, 2006
Consider the set of functions cfw_0 (x), 1 (x), . that are the
Department of Chemical Engineering
University of California, Santa Barbara
ChE 230A
Instructor: Glenn Fredrickson
Fall 2006
Discussion Topic #3
For Discussion Section: Friday, October 6, 2006
Consider the set of functions cfw_0 (x), 1 (x), . that are the
DEPARTMENT OF CHEMICAL ENGINEERING
University of California, Santa Barbara
ChE 230A / ME 244A
Fall 2005
Instructor: Prof. Brad Chmelka
COURSE OUTLINE
Objective:
Develop analytical tools to solve elementary partial
differential equations and boundary value