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 ...

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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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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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Ans:

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Ex. 3

Pr. 3

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The 29th

and 30th

weeks-

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