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Subject 5a

Total questions: 4

Worksheet time: 3mins

Name
Class
Date
1.

The Pi-Buckingham theorem is useful to

a)

find a function that explain our problem containing only (n-k) non-dimensional groups, where n is the number of variables and k is the number of independent basic dimensions.

b)

find a function that explain our problem containing only (n-k+1) non-dimensional groups, where n is the number of variables and k is the number of independent basic dimensions.

c)

find a function that explain our problem containing only (n-k) non-dimensional groups, where n is the number independent basic dimensions and k is the number of variables.

d)

nothing in particular, it is just a mathematical tool

e)

enlarge the number of variables of our problem

2.

Which of the following non-dimensional numbers should we consider to decide whether viscous forces are large or small compared to inertia forces?

a)

Reynold's

b)

Weber’s

c)

Euler’s

d)

Mach’s

e)

Froude’s

3.

Which of the following sentences is false?

a)

Reynolds number is important when there are phenomena with free surfaces.

b)

Mach’s number is important in the study of super sonic flows.

c)

The lift coefficient is often used in aerodynamics.

d)

Eulers number is important to understand weather pressure can be considered constant.

e)

One can define non-dimensional groups concerning roughness.

4.

The Mach number defines whether in a problem

a)

The flow can be considered compressible or not

b)

The flow is a liquid or a gas

c)

The flow has a high compressibility module or not

d)

The flow velocity is close to the speed of sound in the air

e)

Inertia forces can be neglected or not