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