Control Volume Analysis 1

Question 1

Define systems (2)

Answer 1

-a system is a collection of matter of fixed identity
-always the same atoms or fluid particles which may move, flow and interact with its surrounding

Question 2

Define control volume (3)

Answer 2

-is a region in space through which fluid may flow
-bounded by the control surface
-control volume may be fixed, moving or even deforming

Question 3

Define Reynolds’s transport theorum (1)

Answer 3

-it is a fundamental concept in fluid mechanics that bridges the gap between 2 ways of analyzing physical systems, System approach and Control volume approach.

Question 4

State the use of Reynolds’s transport theorum (1)

Answer 4

-it’s particularly useful because it allows us to apply the conservation laws (for mass, momentum, and energy) in situations where we are working with a fixed control volume through which fluid flows instead of tracking individual particles of fluid

Question 5

How does the system approach work (3)

Answer 5

-in this approach you track a specific set of fluid particles as they move
-the system deforms and changes shape as the fluid flows
-conservation laws like mass,momentum and energy are directly applied to this moving system

Question 6

How does control volume approach work (3)

Answer 6

-in the control volleyball app approach analyze a fixed region of space
-and fluid moves in and out of this region
-instead of tracking individual particles you focus on how much fluid enters and exits the control volume

Question 7

How does control volume approach work (3)

Answer 7

• in the control volume approach, you analyze a fixed region of space
  -and fluid moves in and out of this region
  -instead of tracking individual particles you focus on how much fluid enters and exit the control volume

Question 8

What is the purpose of Reynolds transport theorem (4)

Answer 8

-Reynolds transport theorem is a mathematical tool that transforms the conservation laws
-which are naturally formulated for system of particles ( the material system )
-into a form that can be applied to control volume

-essentially it allows you to convert the rate of change of property in a moving system
-into a form that relates to a fixed control volume

Question 9

State an equation used to express a general property

Answer 9

B = m x b

B represents the total amount of any physical property of a portion of fluid
b represents the amount of a property per unit mass
m = mass

Question 10

State an equation used to express a general property

Answer 10

B = m x b

B represents the total amount of any physical property of a portion of fluid
b represents the amount of a property per unit mass
m = mass