Lab 4: Heat Transfer
In lab 4, you'll build a thermally insulated box according to some
variety of possible configurations, drive a power load inside, and measure
temperatures to understand the magnitudes of various heat flow mechanisms.
First, figure out which configuration you want to pursue, and sign up at
the sign-up sheet on the front table of MHA 3574 near the supplies.
Decide how you want to proceed. Does it make sense for you to have a
phase A (as a control measure) before implementing the full scheme? Can
you apply the foil later? Can you install a fan but not turn it on at
first? Best to figure out the plan before beginning construction.
Construction and Setup
- The nominal box has a 4×4 inch inside, with 1-inch thick
insulation. A couple of 7×7 boxes are also prepared. You will
need to tape your box together, inside and out, being careful to leave
no gaps. Tape the inside seams as you go, to allow easier access.
- For boxes with reflective surfaces, use shiny tape. Be careful not to
extend tape through gaps to the outside, or you will have a cold finger.
- Solder leads onto the power resistor, deciding whether you want to
attach the fan in parallel (in which case solder also to resistor), or keep
separate for independent power control.
- Secure the fan in place (preferably on the top lid) with tape. Make
sure the tape has a large contact base with the foam, otherwise it may drop
off during the experiment.
- Check that the RTDs you have are well calibrated to each other by
pushing each onto a large block of metal (preferably at the same
time). Don't use your finger for the pressing, or anything thermally
conductive. Note any offsets, and keep track of which is which.
- Make sure your Python program for recording time stamps and RTD
channels is working correctly. Once you start the thermal campaign,
any mistakes might take a long time to thermally settle out back to the
starting point. Be completely happy that this is ready to go: you get
reasonable temperatures, and the right cadence.
- Secure the internal RTD(s) with tape. Ideally, the internal RTD will be
at the fan exhaust for the most "representative" measurement.
Label the wire/connection end of the of the RTD according to its
function.
- Run all the wires out (perhaps at a single feed-through point) and
secure the lid to the box. Attach the ends of the RTDs to the current sources, either on the breadboard or the packaged 4-channel unit.
- Construct a stand using the boards and dowels in the supply area: the
box should have all sides open to the air.
- Establish the power supply to deliver the appropriate voltage(s)
before actually hooking up to the internals. You don't want to
start heating up the system until you're ready for the data campaign.
The fixed 5 V supply may be all you need (make sure you can measure
current from this supply if you decide to use it).
Make sure the current limit knob is turned up (about halfway) so that it
won't wimp out when you turn on the system. Pay attention to the fact
that power, P = V2/R in establishing your operating
point.
- When you think you're ready,
take an initial suite of RTD readings (everything should be steady, so
timing is not critical for this measurement). Turn on the power supply
briefly (2 sec) to check that A) the voltage does not drop, and B) the
light stays in constant voltage (CV) and does not switch to constant
current (CC). If the latter happens, either you have a short or the
current knob is not turned up high enough. Repeat these short burst
experiments until you're steady. Once steady, start the Phython program
and turn on the power supply for goot to begin the
data campaign.
- Note the voltage(s) and current(s) as presented by the power supply.
- Do not at any time exceed 1300 Ω (1.3 V) on the RTD: this means you
are approaching 80°C. Stay below this temperature!
During the Data Campaign
- Check the power supply voltage and current values periodically to make
sure there is no drift. Best to record drift rather than try to adjust it
out.
Beyond Equilibrium
Once you reach equilibrium, measure the skin temperatures (maybe top, a
side or two). Press the RTD to the skin with a
thermally non-conductive item.
Now you can go to a second configuration if appropriate. Turn on an
external fan; coat the outside with aluminum foil; compromise the
insulation by letting the top loose, poking an air hole, inserting a
conductive "cold finger" (perhaps some coathanger). Use the
opportunity to learn about the ins and outs of thermal control and heat
flow. Be creative: you have a little thermal laboratorywhat can you
learn from it?
Making data available
Submit your raw data (times, RTD resistances) to me via e-mail. I will
make these data available through
this link
to all. The most universal and appropriate format is comma-separated-value,
or CSV, which almost every spreadsheet program can produce and read (also
plain-text-readable). Include information on any RTD offsets, clearly identify the
columns in your data, provide all supplementary information such as: your
names, configuration, voltages/currents, occasional RTD measurements (e.g.,
skin temperature), etc. Imagine someone wants to use your data to
construct your lab report: what info do you have that they need.
This way, groups can make meaningful intercomparisons. Probably the
most relevant info will come from understanding the equilibrium
temperatures established in each configuration. But making the whole
series available may be of some utility.
Lab 3/4 Write-up
In the write-up:
- Incorporate results asked for in Lab 3.
- Discuss your temperature calibration strategy and results.
- Present plots of your data. You can break up the data into sets if
appropriate. Nice to plot the temperatures and temperature
differences on separate plots.
- Depending on your experiment, you can compute the following things:
- R-value of the insulation
- h-parameter for convection (esp. for external blow)
- radiative h-value (esp. if emissivity change)
- impact of gradients (if present) on the heat flow rate and ΔT
- In addition, you can comment on impacts of leaks, cold fingers (perhaps
with crude supporting calculations, effectiveness of internal circulation,
appropriate scaling with box dimensions (compare to other groups' data for
this), etc.
- In short, extract as much insight/learning as you can, and represent
this in the report.
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