CHAPTER 1
 

 
 

ACTIVITIES  > PROBLEMS  >  PROBLEM 1
1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 11|  12 | 13 | 14 | 15 | 16



1
 
Two tanks with additional outflow: Balance of volume
         
 
Consider two communicating tanks (one smaller, one larger) where the larger one has an additional outflow.
In the accompanying data sheet ( Two_Tanks_ Outflow.xls), level and volume data for the two tanks is reported. The graph on the right shows the volumes as functions of time. The diameters of the tanks are 99 mm and 149 mm, respectively.
  1. Roughly determine the rate of change of volume for both functions at a few important points. Then sketch the rates of change as functions of time.
  2. Formulate the law of balance of volume for Tank 1 in its instantaneous (dynamical) form and determine the flow through Pipe 1.
  3. Write down the law of balance of volume for Tank 2 in its instantaneous (dynamical) form.
  4. Find the volume current through Pipe 2.
  5. Determine how much liquid has flowed through Pipe 1 during the entire process (called the volume exchanged or transported).
Do the problems first by sketching functions by hand. Then do the problems by using a spread sheet and the data in the data sheet ( Two_ Tanks_Outflow.xls)

 

 

         

         
                     Click HERE to obtain pdf