Dimensional Analysis and Dynamic Similitude Dimensional ...
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1 The 27 th and 28 th 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.
Transcript of Dimensional Analysis and Dynamic Similitude Dimensional ...
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.
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Pr. 1
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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
(
)
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Pr. 1
Ans:
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Ex. 3
Pr. 3
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The 29th
and 30th
weeks-
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