[Cce-faculty-list] new 1-credit CE697 course offering for fall 2024
Dennis A Lyn
lyn at purdue.edu
Fri Aug 9 14:54:43 EDT 2024
CE faculty and grad students:
I am offering this fall (2024) a one-credit CE697 course entitled
"Dimensional analysis, scaling, and similarity: Physics, asymptotics,
and statitics", and tentatively scheduled for W12:30 pm in HAMP2113.
The following is a brief description (also reproduced in the attached):
Dimensional analysis is a general tool for designing experiments and
organizing experimental data in a physically meaningful manner,
primarily in but not necessarily restricted to mechanics-oriented
fields. It emphasizes the development of relationships between
dimensionless groups, thus ensuring dimensional homogeneity, which can
yield relationships less sensitive to changes in scale. The course
reviews basic concepts such as the Buckingham-Pi theorem and the
analysis of governing equations, but then also explores the related
concepts of scaling and similarity. The role of asymptotic arguments is
emphasized, and implications for statistical analysis of the resulting
dimensionless relationship are also discussed. Much of the lecture part
of the course will discuss examples of dimensional analysis of problems
for which solutions are known or at least widely accepted, with the aim
of providing guidance to applying dimensional analysis and scaling
arguments to problems for which solutions are not available. This will
be a part-lecture part-seminar course; in the seminar part of the
course, students will be asked to give in-class presentation of either
their own work or from the research literature where the methods of
dimensional analysis are applied.
Potential references are given in the attached. If there are questions
regarding the course contents, please feel free to contact me.
Dennis Lyn
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