This lab report was carried out to determine the design of tank that would be able to reduce the depth of water by 5 cm in a time interval of 84 seconds. The parameters that were to be varied for the design is the height of the water, the pressure of the water to meet the required time and depth reduction. Based on the analysis carried out, a height of 1O cm of water would be needed and a pressure mechanism that halves the pressure in the tank to be able to meet the required specifications.
This design of tank is specific to the functions that they will play in the engineering application they will be put into. The major parameters that are considered in designing of tanks include pressure, the volume of the tank and the time that it takes to extract fluids from them. This lab seeks to design a tank that will be able to drain water by 5cm in exactly 84 seconds. There are specific design of outlets that are unquantified that will be used to design the tank. As such, this lab will begin with determining the ideal pressure of water that will be able to drain water at the needed rate. The height of the water that will produce this pressure will then be examined and this will be the height of the tank design.
This lab was carried out in three parts. The first part found the correlation between pressure of water and time. This part was to determine the relationship between pressure and height of the water. The part was to help determine if pressure acted linearly since it was a variable in determination of the design of the tank. The second part was to find the correlation between time and height of water. This part had the purpose of determining the rate of water reduction given different initial heights of water. The results of this section were to determine if different heights of the water would give different rates of flow of water. The final part was to explore the results from the second section and determine which of the heights would give the rate of outflow of 5 cm in exactly four seconds.
Results & discussion
The variation of pressure with height was graphed as in figure 1 and the result was a straight line graph whose equation is y=0.004x-0.0021. The constant is relatively small meaning that there is no variance in the curve. This means that the height and pressure are directly proportional to each other.
Graph 1: Pressure Vs Height graph
Graph 2: Time vs height graph
Graph 3: Time vs height graph
Graph 4; Time Vs Height graph
Graph 2, 3 and 4 have different values for the constant. This is an indication that there is an effect of change in the initial height of water in the tank. The first setup implies that 1 cm = 8.4, the second implies that 1cm = 5.2 sec and the third, implies that 1 cm = 6.8 sec. The first height gives the best possibility. However, to empty 5 cm, we would only use 42 seconds. To increase the time to 84, we would need to need to halve the pressure so that we can increase the time to 84. Since pressure is directly proportional to height. Our design of the tank should therefore 1 meter tall and it should be connected to a tube that halves the pressure of the water.
Jamal H., 2017, Parameters considered in Designing Spillways, Civilorg