yes both could be and whyLnewqban said:I don't understand the problem, but I welcome you, @pranta !
What do you think the answer could be, and why?
pranta said:
Its only has effect in the transient behavior.pranta said:
Where you put the pipe and its size matter for the transient response i.e. how ##\delta h ## changes in time. There is going to be some decaying fluctuation curve that may have absolute differences ( but similar "shape" responses )pranta said:
The height difference is what is the relevant driver. The ratio of tank areas comes into play as well for the transient behavior.pranta said:
Thats a good point. What are those arrows indicating entering and exiting tank A and B. I may be jumping the gun on believing the OP is accurately describing "the actual system" given that diagram.Lnewqban said:
Try putting the connecting pipe just below the level of the water shown for the tank on the left.pranta said:
erobz said:
phinds said:
do you think that the connection pipe level may affect the water level difference between two tanks?phinds said:
Clearly you did not understand what I said. Read it again.pranta said:
i didn’t understand. can you explain a bit morephinds said:
Then you aren't telling us the whole story. If there is no valve than this system is being maintained at these levels by an incoming flow on the left tank, and an outgoing flow in the right tank.pranta said:
right just by gravitational flowerobz said:
If the tanks are being maintained at the current levels what does that imply for the volumetric flowrate entering tank A and exiting tank B?pranta said:
inflow rate in tank A is higher than the outflow rate in tank Berobz said:
Is the volume of liquid in either tank changing over time?pranta said:
The "Multiple Tanks Concept" in fluid dynamics refers to a system where several tanks are interconnected, and the water level in one tank can influence the water levels in the others. This concept is often used to study how changes in one part of the system affect the entire network, including flow rates and equilibrium states.
Changing the water level in one tank affects the others through the principles of fluid pressure and flow. When the water level in one tank changes, it alters the pressure at the connection points between tanks, causing water to flow from higher pressure areas to lower pressure areas until equilibrium is reached. The specific impact on each tank depends on the system's configuration and the characteristics of the connecting pipes or channels.
The rate of water flow between tanks is influenced by several factors including the difference in water levels (pressure difference), the cross-sectional area and length of the connecting pipes, the viscosity of the fluid, and any resistance or friction within the pipes. These factors are often described using principles from fluid mechanics, such as Bernoulli's equation and the Hagen-Poiseuille equation.
Yes, a multiple tanks system can reach a stable equilibrium where the water levels in all tanks remain constant over time. This occurs when the inflow and outflow rates for each tank are balanced, meaning that the pressure differences driving the flow between tanks have been equalized. In a perfectly closed system with no external inputs or losses, this equilibrium will persist indefinitely.
The multiple tanks concept can be applied in various real-world scenarios such as water distribution networks, chemical processing plants, and environmental engineering projects. For example, in municipal water supply systems, understanding how water levels and pressures interact in interconnected reservoirs can help optimize the distribution of water to different areas. Similarly, in industrial processes, managing the levels of different tanks can be crucial for ensuring efficient and safe operations.
