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Essay / Research Paper Abstract
This is a 6 page paper that provides an overview of fluid dynamics. The spouting can experiment provides a basis for exploring proportionality and Bernoulli's law. Bibliography lists 8 sources.
Page Count:
6 pages (~225 words per page)
File: KW60_KFsci037.doc
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say that the time required for drainage is proportionate to both the height of the water and the diameter of the whole, as expressed by the equation t = k(sqrt)h
/ d^2. However, as a variety of trials were run using the same experimental setup, it must be noted that the actual value for k, the constant of proportionality, differed
somewhat, as water level and hole diameter changed. This begs the question of whether or not k can truly be regarded as a "constant".
Based upon simple knowledge of axioms such as those put forth by Bernoulli and Torricelli, it is clear that the pressure of water exerted through a whole is
a proportionate phenomenon. As an experimenter, then, it is necessary to account for the observed deviations in the value of k. An observable pattern in the absolute value of deviations
from k is that the more extreme either the size of the hole or the height of water is, the further "off-center" the constant becomes. For instance, the largest deviation
was measured when draining 1 centimeter of water through a hole 5 centimeters in diameter (6.90 deviation). There appears to be a tendency for deviation when the extremes are in
opposition to one another, such as with a small water height and a large hole. By contrast, the smallest deviations measured seem to occur when the height of the water
and the size of the hole are more moderate; for instance, a deviation of just 0.04 from the average occurred when a water height of 4 centimeters was drained through
a hole 3 centimeters in diameter. Notably, in all cases, the measured deviation was within acceptable standard deviations, and as such, does not affect the validity of the experiment. Besides
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