1
The 27th
and 28th
weeks
Dimensional Analysis and Dynamic Similitude
Dimensional Analysis
Dimensional analysis is commonly used to determine the relationships
between several variables, i.e. to find the force as a function of other
variables when an exact functional relationship is unknown.
2
3
Pr. 1
4
5
6
Ex.2
Suppose one knew that the force F on a particular body immersed in a
stream of fluid depended only on the body length L, stream velocity V,
fluid density ρ, and fluid viscosity µ, that is,
F = f(L, V, ρ, µ)
- Find a dimensionless function, using the pi theorem. In the form
(
)
7
Pr. 1
Ans:
8
9
11
11
Ex. 3
Pr. 3
12
The 29th
and 30th
weeks-
13
14
15
16
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