Help with Pipe Flow: Tank Filling Proportion in 3 Hours

In summary, the storage tank is initially full and is replenished by an inflow pipe that can fill it in 8 hours. The outflow pipe can empty the tank in 12 hours. After 3 hours, the tank is approximately 1/24 full. The rate of inflow is 1 tank per 8 hours and the rate of outflow is 1 tank per 12 hours. This results in a net rate of inflow of 1/24 tank per hour. It is not clear from the conversation if the tank is overflowing or not.
  • #1
allaputa
6
0
A storage tank is replenished by an inflow pipe which can fill it in 8 hours.If the tank is initially full and the outflow pipe can empty it in 12 hours,what proportion of the tank is full after 3 hours duration?
 
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  • #2
What's the rate at which fluid flows into the tank? Out of the tank? (Express both rates in units of Tankfulls per hour.) What's the net rate of inflow?
 
  • #3
Doc not really clear about it
 
  • #4
One pipe flows into the tank at a rate of 1 tank per 8 hours. Express this in Tanks/hour.
 
  • #5
Is it emptying and filling at the same time? In this case the tank would be OVERFLOWING
1/8 - 1/12 = 1/24 of the whole tank volume every hour.
 

1. How do I calculate the tank filling proportion in 3 hours?

In order to calculate the tank filling proportion in 3 hours, you will need to know the volume of the tank and the flow rate of the pipe. The formula for calculating the tank filling proportion is (flow rate * time)/tank volume. This will give you the proportion of the tank that will be filled in 3 hours.

2. What is the importance of calculating the tank filling proportion?

Calculating the tank filling proportion is important because it helps to determine how much liquid will be in the tank after a certain amount of time. This information can be used for planning and monitoring purposes, as well as for ensuring the tank does not overflow or run out of liquid.

3. How does the flow rate of the pipe affect the tank filling proportion?

The flow rate of the pipe directly affects the tank filling proportion. A higher flow rate will result in a larger proportion of the tank being filled in a given amount of time, while a lower flow rate will result in a smaller proportion being filled.

4. What are some factors that can affect the accuracy of the tank filling proportion calculation?

Some factors that can affect the accuracy of the tank filling proportion calculation include changes in the flow rate over time, irregularities in the tank shape or size, and any external factors that may impact the flow of liquid into the tank.

5. Is there a way to adjust the tank filling proportion to fill the tank in a different time frame?

Yes, the tank filling proportion can be adjusted by changing the flow rate of the pipe. By increasing the flow rate, the tank will fill in a shorter amount of time, and by decreasing the flow rate, it will take longer to fill the tank. Keep in mind that the tank filling proportion will also be affected by the size and shape of the tank.

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