- #1
tracker890 Source h
- 90
- 11
Q: The instantaneous gas discharge of the system and the C-E
- Thread starter tracker890 Source h
- Start date
-
- Tags
- Fluid dynamic
- #2
Frabjous
Gold Member
- 1,823
- 2,237
The system includes the expelled air.
- #3
tracker890 Source h
- 90
- 11
If the system includes air output, how should the cross-section be determined?
In a closed system, isn't it the case that fluids cannot cross the system boundaries? However, the following equation is indeed correct.
Frabjous said:
Last edited:
- #4
erobz
Gold Member
- 3,892
- 1,662
The system is the total mass. It's not changing in time. The tank is the control volume. The portion of the systems mass inside the control volume is changing in time, so you get:tracker890 Source h said:
$$ \frac{d}{dt} \int_{cv} \rho ~d V \llap{-} = - \int_{cs} \rho \vec{V} \cdot d \vec{A} $$
which reduces to ( uniformily distributed properties):
$$ \frac{d}{dt} m_{cv} = - \rho_e A_e V_e $$
Last edited:
- #5
berkeman
Mentor
- 68,289
- 21,994
Could you please explain why you are taking the time derivative of a 4-dimensional volume integral?tracker890 Source h said:
- #6
erobz
Gold Member
- 3,892
- 1,662
I was going to mention there are one too many integral signs.berkeman said:
- #7
tracker890 Source h
- 90
- 11
So, my thoughts are as follows, is this correct?erobz said:
- #8
tracker890 Source h
- 90
- 11
Accidentally typed the wrong characters, it has been corrected.berkeman said:
- #9
erobz
Gold Member
- 3,892
- 1,662
Yeah, that's how you are to look at it. That first derivative being non-zero is not something you are going to encounter when it comes to mass as the property in R.T.T.tracker890 Source h said:
In essence the system is not the control volume, its "the stuff" moving through the control volume, be it mass, momentum , or energy. The "system" enters the control volume, exits the control volume, and/or accumulates within the control volume.
Last edited:
- #10
tracker890 Source h
- 90
- 11
Thank you for the detailed and patient explanation. ^^erobz said:
FAQ: Q: The instantaneous gas discharge of the system and the C-E
Q: What is meant by "instantaneous gas discharge" in a system?
Instantaneous gas discharge refers to the rapid release of gas from a system in a very short period of time, often due to a sudden pressure change or failure in the containment mechanism. This can occur in various industrial and scientific applications, such as in chemical reactors or gas storage systems.
Q: How does the C-E (Collector-Emitter) configuration relate to gas discharge systems?
The C-E (Collector-Emitter) configuration is a term from electronics, specifically referring to a common transistor configuration in amplifiers. In the context of gas discharge systems, it might be used to describe the control mechanisms that manage the release of gas, where electronic components regulate the valves or sensors involved in the discharge process.
Q: What are the safety concerns associated with instantaneous gas discharge?
Safety concerns include the risk of explosions, toxic gas exposure, and pressure-related injuries. Proper containment, pressure relief systems, and monitoring are essential to mitigate these risks. Safety protocols and emergency response plans are also critical in handling potential incidents.
Q: What factors influence the rate of instantaneous gas discharge?
The rate of instantaneous gas discharge is influenced by factors such as the pressure differential, the size and shape of the discharge opening, the properties of the gas (e.g., density, viscosity), and the temperature of the system. These factors determine how quickly and efficiently gas can be released from the system.
Q: How can the instantaneous gas discharge be controlled or managed?
Instantaneous gas discharge can be controlled through the use of valves, pressure relief systems, and automated control systems that monitor and adjust the release parameters in real-time. Additionally, proper system design and regular maintenance are crucial to ensure that all components function correctly and safely.