Chapter 5 Flashcards
What physical laws provide the foundation of control volume analysis?
- Conservation of Mass
- Newton’s Second Law of motion
- The first and second laws of thermodynamics.
Ref: Pg 145
How is the law of conservation of mass useful in solving fluid problems?
It allows us to create equations based on the fact that the amount of mass that enters the control volume must also exit it.
Ref: Pg 145
How does Newton’s second law help to solve fluid problems with respect to finite control volume analysis (FCVA)?
Newton’s second law of motion leads to the conclusion that forces can result from or cause changes in a flowing fluid’s velocity magnitude and/or direction.
Ref: Pg 145
The mechanical energy equation is derived from what two fundamental laws of nature?
The first and second laws of Thermodynamics.
Ref: Pg 145
What is the conservation of mass principle?
The time rate of change of the system mass = 0. In Ort her words, the mass of the system is constant with time.
Ref Pg 146
True or False
When a flow is steady, all field properties (i.e., properties at any specified point) including density remain constant with time and the rate of change of the mass of the contents of the control volume is zero.
True
Ref: Pg 147
True or False
The n^ direction is positive when it points out of a control volume and negative when it points into a control volume.
True
Ref: Pg 147
What is the net mass flow rate through a control surface?
The sum of the mass flow rates entering the control volume is equal to the sum of the mass flow rates leaving the control volume.
Ref: Pg 147
The continuity equation is a statement that mass _____.
Is conserved.
Ref: Pg 147
The mass flow rate can be calculated as … ?
m_dot = (rho)(Q) = (rho)(A)(V)
Ref: Pg 147
If velocity is assumed to be normally distributed over the section area A then_____.
The average value of the velocity is equal to the velocity V.
Ref: Pg 148
True or False
The dot product for V * n^ is positive for flow out of the control volume and negative for flow into the control volume.
True
Ref: Pg 153
True or False
For a fixed, non-deforming control volume; if the flow is steady then the mass flowrate in is equal to the mass flow rate out.
True
Ref: Pg 153
True or False
For a fixed, non-deforming control volume; if the flow is steady and incompressible then the volume flow rate entering the CV cannot be equal to the volume flow rate leaving.
False. If the given conditions are met (fixed, non-deforming control volume with steady, incompressible flow) then the volume flowrate in is equal to the volume flowrate out.
Ref: Pg 153
True or False
An unsteady but cyclical flow can be considered steady on a time-average basis.
True
Ref: Pg 153
When the velocity is not normally distributed over the opening in the control surface, the mass flowrate should be calculated with ___.
The average velocity.
Ref: Pg 154