Transcript Defense vs. Growth: Bees on an Island Bert Rivera

Analysis of Conduction Heat Transfer in Semi-Infinite Slabs and Infinite Quadrants with Discrete Heat
Generation Sources Using Green’s Function Integral Methods – Experimental Approach
Carlos J. Rodríguez Feijoo* Prof.Omar E. Meza Castillo
[email protected]
Inter American University of Puerto Rico
Bayamón Campus
Abstract
Results
Voltage
acros the slab
Voltage
across
slab
0.0035
0.003
The main goal of this project is to create a physical model that will
allow us to conduct experiments in a controlled environment so that
we can determine how the heat is transferred by conduction into an
aluminum slab.
0.0025
0.002
Voltage
Voltage_A3
Voltage_A2
Voltage_A1
0.0015
Voltage_A0
0.001
0.0005
As a starting point for this model, we have decided that our
experiment will consist of a discrete source of heat that will transfer
heat through a slab of aluminum that will have a set of calibrated
thermocouples. This will permit us to acquire live data from the
experiment as the heat from the source begins to transfer throughout
the slab.
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1
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This data will be collected through an interface using the program
Labview 2010. The results are going to be compared with analytical
results provided by Green’s Function Integral Method.
This experimental approach will enable us to conclude if the data we
have gathered is correct or if there is some external interference
interrupting in our experimental design.
Discussion:
Introduction:
The bases of this experiment are to recreate the results obtained in
Professor Omar Meza’s thesis during his Master degree. Since these
results were obtained using an analytical process we have been
assigned the task of creating a physical model that will replicate the
results as closely as possible.
The main objective is to be able to obtain real time data collection
(temperature) of the process of heat transfer by conduction in our
experiment.
These will serve as proof of thesis' results and will allow us to conduct
further experiments involving the basic geometry of the heating source
itself and the relation that exist between this variant and the area that
the heat covers in the slab.
Methods:
The method used is experimental, where the collection of the data will
be performed through an LabView interface. The results are
represented in a graphical form since it is easier to see that as we get
nearer to the heat source the temperature increases considerably. It is
this same pattern of data that we are trying to replicate in our physical
model. To achieve this we will have to take in consideration radiation
and convection heat transfer, a vacuum chamber will be considered for
future tests.
The first step was to select the material that can be easy to work with but
will be hard enough to stand to the experimental process without failing. By
conducting a little research we determined to use aluminum because it is a
malleable material that can be easily shaped to conform to our design. We
then selected a slab with a width of ¼ of an inch, and 9 inches by 7 inches
since we considered this to be an adequate size to conduct the experiment.
The heating source that we are going to use will have to be able to generate
a substantial amount of heat to elevate the temperature of the slab so we
can measure the difference with our equipment. But this source cannot heat
the slab to a point where it reaches a uniform temperature because we will
not be able to conduct our experiment. During the experimental process we
have tried different methods to heat the plate but many worked better in
theory than in practice, this had led us to adapt a soldering gun to our
experiment since it can generate and maintain a steady temperature that is
sufficient for our experiment.
Since the experiment was based on heat transfer, we needed an instrument
that could adequately measure the temperature. For this we used
thermocouples type (T) that where calibrated according to the procedure to
obtain an accurate temperature measurement and determine how the heat
dispersed through the material.
A vacuum chamber will be used to ensure that no outside contaminant will
affect our experiment. This will also prevent the heat from escaping by
convection through the air that surrounds the slab. This will ensure that the
result we get are constant and do not get any outside interference that can
lead to a wrong conclusion.
Conclusions:
To conclude this project we still need to adapt the physical model to the
vacuum chamber to be certain that the results are not being
contaminated with some outside interference. But the results obtained
so far are conforming to the analytical results that we are trying to
replicate. This serves as motivation to continue following our goals with
this project.
Literature Cited:
Nellore S. Venkataraman, Omar E. Meza Castillo, “Conduction Heat
Transfer in Semi-infinite and Infinite Regions with Discrete Heat
Sources”, Acta Astronautica 58 (2006) 15-37.
Acknowledgements:
I will like to Acknowledge Prof. Omar Meza for his collaboration on this
project and PR-LSAMP who made possible this opportunity by
providing the funding for this investigation.