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Assignments
Final
Report - due 5 pm, Friday, December 7
- Write a report on a heat transfer topic of interest to you. This
should involve a specific problem in heat transfer for which you can
find some research papers published within the last ten years, and for
which you can write the basicequations for at least a simplified
case. Topic should
be fairly specific, e.g., "melting of icebergs," rather than general as
"environmental heat transfer." At the end of the report, propose
research you would do on the topic if you were to apply for and receive
a research grant.
- To Turn In:
Turn in the typewritten report via email as
an attachment (PDF preferred). The main body of the email must include
(1) the title and author of the report, (2) a short "sales pitch" to
entice others
to read your report, and (3) tell me whether or not I have permission
to post your report on the course web site. I would like to be able to
post everyone's reports.
- Example
outline: title page including title, author, date and
abstract at bottom; introduction; importance; brief history of work on
topic, current research; mathematical background; proposed research you
would do; reference list - list of references cited in text.
- See previous reports for
examples.
Homework is due at time and date
stated. No late homework accepted without my prior approval of
extenuating circumstances.
Homework
6 - due start of class, Wednesday, December 5
- Wong, Chapter 9: Problems 2, 3, 5, 6, 7 and give examples of
fluid to which the conditions in the problems apply
Homework
5 - due start of class, Wednesday, November 28
- Wong, Chapter 8: Problems 1, 9, 10, 11
Homework 4 - due start of
class, Wednesday, November 21
- Wong, Chapter 7: Problems 1, 2, 4, 6
Homework
3 - due 3 pm, Friday, November 2 (postponed to this date since
campus closed a week due to fires)
- Wong Chapter 5: Problems 2, 5*, 7, 9 (only compute 1st time
step), 11 using Comsol only see note below&
- *Note on 5: top surface is at 150 C, material is aluminum, grid
squares are 0.01 m on each side, and also do this problem using
graphical
estimation and estimate heat flux at top and bottom surfaces (W/m2
over a meter length of the bar normal to paper)
- &Note on 11: use COMSOL. Report a list of the
temperatures at the node locations give in the
problem statement (in Comsol, note near bottom of window x,y,T values
where you click). Explain qualitatively
the shape of the isotherm and adiabat lines near the contact interface;
B material is copper, total length of bar is 0.1 m, report heat fluxes
at ends of bar. For heat fluxes in COMSOL, in Postprocessing, you can
select boundary integration of heat flux (double-check units).
Homework
2 - due start of class, Wed, October 17
- Wong Chapter 4: Problems 5, 7, 8, 11, 12 PLUS do also 5 and 8
with COMSOL in addition to analytical solution. If you are familiar
with another software package, you can use it. In addition to hardcopy
submission of your your work and screenshot of the numerical solution,
email
your model files to me as email attachments.
- Some lessons
- It's good to check your analytical series solution by computing
and plotting it.
- In a 2D steady-state conduction problem, you need 3 homogeneous
BC. If you can't get 3 by simple scaling of T, separate problem into
subproblems, each with 3 homog BC, then use superposition to get final
solution. This works because problem is linear in T with constant k, or
if use Kirchoff transformation for k(T).
- In a 1D transient problem, you need to scale T by T(t ->
inf), since the exp(-alpha*lamba^2*t) term goes to zero as t -> inf.
Homework
1 - due start of class, Wed, October 10
- Wong Chapter 2: Problems 1, 2, 6, 8
- Wong Chapter 3: Problems 3, 7, 9, 11