Project: fluid flow | Computer Science homework help

Once the input is finished, your program will display an output table with three columns: time (in seconds), volume lost, and fluid height (i.e. the height of the water in the cylindrical tank). Assuming a constant flow, the volume of water in the tank will decrease to zero over time (i.e. the tank will be empty). For example, a 36-inch high cylinder with a radius of 6 inches will produce the following table:

Enter the height of the cylindrical tank, in inches: 36

Enter the radius of the cylindrical tank, in inches: 6

Initial Volume: 4071.50 cubic inches.

Note that the last value – and only the last value – for fluid height may be less than zero. Youshould assume the tank is initially full with water. Your table should compute one value for each second, starting at zero and ending when the tank runs dry (i.e. volume of fluid in the tank is ≤ 0).

The following constants and formulas will be helpful in your calculations (r = radius, h = height):

PI (π):

3.14159265

Initial Volume of a Cylinder (i.e. the water tank):

=   ²ℎ

Velocity of Outward Flow Through the Nozzle:

= 8.02 ∗ √(             ℎ    ℎ     ℎ         ℎ       )

Volume Lost From a Cylinder At Time t:

=       ∗ (4  ) ∗

Height of Fluid in the Cylindrical Tank at Time t:

_{ℎ = (                                                   )}

Note that you will first need to calculate the volume of the cylinder when it is full, and output it to the screen. For each time step, you will need to calculate the volume lost. Remember that the volume lost requires you to first calculate the velocity of flow. Once calculated, the volume lost is subtracted from that initial “full” volume. Afterwards, the new height of the fluid can be calculated from this new volume. When the volume in the tank reaches zero (or less), your program should stop its calculations. Your program may use the value of PI (π) shown here for testing purposes, or use the Math.PI constant.

Your numerical output should be precise to two decimal places on the right of the decimal for all real-number data. Your ability to modularize your solution is essential (i.e. break the program into methods). You must use arrays in your solution – at least two arrays are recommended to store the volume lost and fluid height values. Be sure to properly document your code and use good design principles.

Sample Tests

Enter the height of the cylindrical tank, in inches: 240

Enter the radius of the cylindrical tank, in inches: 12

Initial Volume: 108573.44 cubic inches.

Enter the radius of the cylindrical tank, in inches: 2.5

Initial Volume: 1649.34 cubic inches.

Enter the height of the cylindrical tank, in inches: 72

Enter the radius of the cylindrical tank, in inches: 8

Initial Volume: 14476.46 cubic inches.

Enter the height of the cylindrical tank, in inches: 128

Enter the radius of the cylindrical tank, in inches: 22

Initial Volume: 194627.95 cubic inches.