Pipes and Cisterns: Inlet

In this current study, the discussion will be focused on the explanation of the pipes and cisterns. The formulas regarding the pipes and the cistern have been included in the discussion section of the current study. On the other hand, it has been seen that the current study has aimed to include the discussion regarding the explanation of inlet pipes. It has been found in the terminology that the cisterns have been commonly used as prevalent in areas where water scares. Based on this particular fact, the formulas and the functionality of the pipes and the cisterns have been represented in this study. In addition, some examples based on the formula of cisterns and pipes have been demonstrated as well. 

Explanation of pipes and cisterns

As it has been referred to in the terminology, the concept of pipes and Cistern has been recognised as similar to the concept of work and wages. Based on this concept, the inlet pipes have been considered the kind of pipes that usually help in filling the tank or cistern. Based on this particular explanation of the inlet pipe and the cistern it can be proposed that if a pipe can fill a tank in (N) hours, then the pipe has the capacity of filling a tank 1/n parts in one hour. Based on this concept further explanations of this discussion part have been conducted. 

Explanation of inlet pipes

Based on the terminology of physics, it can be easily stated that a narrow way of entering a liquid substance into a tank or cistern is called the inlet pipe. As per the representation of the definition of inlet piping, it can be stated that the inlet piping needs to have the full diameter of the intake opening of the compressor. This particular circumstance will be considered if the used inlet pipe is larger and extreme in size in comparison it needs to be. 

Explanation of pipes and cisterns formula

The important formulas have been mentioned in the below section:

• If x hour is needed to fill up a tank, the part of the cistern will be filled in 1/x hours
• If two pipes are connected with the cistern and one of them is an inlet whereas the other one is an outlet and both are opened at the same time, then the net part of the tank will be filled in 1 hour= {(x*y)/(y-x)}with the condition that showcases y>x.
• One inlet can fill the cistern in x hours and another inlet pipe can do the same in y hours. If  both inlet pipes have been opened at the same time, the tank will entirely fill in = {(x*y)/(x+y)}

Design of inlet pipe

Some factors are required to be considered at the moment of selecting the design of the inlet pipes. The factors that can impact the time within which the inlet pipe can fill a cistern are that the inlet pipe needs to be short and direct as per possibility. On the other hand, if the inlet pipes are with a long radius, the elbows are needed to be bent with a long radius as well. In addition, for the large reciprocating compressors, the air inlet needs to be located on the bottom of the cistern. 

Two pipes A and B can fill a cistern 

As per the explanation of the cisterns and the pipes, it can be exemplified by conjecturing that if A and B inlet pipes can fill a cistern in 20 minutes and 30 minutes in a  respective manner if both pipes are open in a simultaneous manner, in 12 minutes the tank will be filled. This particular example has been derived and calculated based on a particular formula that is (1/20)+(1/30). 

Process of solving pipes and cistern questions

In order to solve the equations related to the pipes and cisterns, one must have in-depth knowledge regarding the terms like inlet, outlet, filling the tank and many more. In addition, one must have knowledge regarding the formulas related to both concepts. A person is able to gain these previously mentioned aspects, only then one can answer the problems related to the pipes and cistern. Additionally, it has been seen that the practices of different problems help in memorising different formulas related to the topic as well.  

Conclusion

The present study has been focused on the discussion regarding two concepts such as pipes and cisterns. The discussion of this present study has been conducted by creating a focus on the explanation of inlet pipes. The inlet pipes have been exemplified in an effective manner in the discussion for a better understanding of the formulas that the mathematics demonstrates within the representation of different terminology. Based on the explanation of the inlet pipes, the discussion section of the current study includes the discussion regarding various designs of inlet pipes. The explanation of how two pipes A and B can fill a cistern has been demonstrated as well.