noninteractive tanks

7
Abellar, Rodgie John G. Group 1 BSChE - 5 Aries, Allen Jerry P. Jardenil, Stephen Paul P Colegio San Agustin - Bac College of Engineerin ChE 501: Computing Applications an Endterm Exam System Response of Non-interactive C 5 5 5 5 5 INPUT System Input Step Input Magnitude 10 Tank A Tank B Cross-sectional Area A 1 2 Valve Resistance R 0.9 ft/(cfm) 5 ft/(cfm) Initial Steady-state Height 8 5 Time Consant τ 0.9 min 10 min Process Gain K 5 ft/(cfm) ft/(cfm) ω 1 rad/min ft 2 ft 2 ` ` A R 1

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Spreadsheet Generated plot for second order system

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Page 1: Noninteractive Tanks

Abellar, Rodgie John G.Group 1 BSChE - 5Aries, Allen Jerry P.

Jardenil, Stephen Paul P.Colegio San Agustin - Bacolod

College of Engineering

ChE 501: Computing Applications and Simulations in ChEEndterm Exam

System Response of Non-interactive Cascading Tanks

55555

INPUT OUTPUT

t, minSystem Input Step 0.0000 5.0000

0.5000 5.5719Input Magnitude 10 1.0000 6.9115

1.5000 8.6424Tank A Tank B 2.0000 10.5507

Cross-sectional Area A 1 2 2.5000 12.5162Valve Resistance R 0.9 ft/(cfm) 5 ft/(cfm) 3.0000 14.4721Initial Steady-state Height 8 5 3.5000 16.3821

4.0000 18.2273Time Consant τ 0.9 min 10 min 4.5000 19.9988Process Gain K 5 ft/(cfm) ft/(cfm) 5.0000 21.6933

5.5000 23.3104ω 1 rad/min 6.0000 24.8518

6.5000 26.31987.0000 27.71727.5000 29.0470

hB(t), ft

ft2 ft2

`

0.0000 10.0000 20.0000 30.0000 40.0000 50.0000 60.00000.0000

10.0000

20.0000

30.0000

40.0000

50.0000

60.0000

Time (minutes)

Tank

Hei

ght (

ft)

`

`

A

`

B

R1

R2

Page 2: Noninteractive Tanks

8.0000 30.31238.5000 31.51619.0000 32.66129.5000 33.7506

10.0000 34.786910.5000 35.772711.0000 36.710411.5000 37.602412.0000 38.450912.5000 39.258013.0000 40.025713.5000 40.756014.0000 41.450714.5000 42.111515.0000 42.740115.5000 43.338016.0000 43.906816.5000 44.447817.0000 44.962417.5000 45.452018.0000 45.917618.5000 46.360619.0000 46.781919.5000 47.182720.0000 47.564020.5000 47.926721.0000 48.271621.5000 48.599822.0000 48.911922.5000 49.208823.0000 49.491323.5000 49.759924.0000 50.015524.5000 50.258625.0000 50.489825.5000 50.709826.0000 50.919026.5000 51.118127.0000 51.307427.5000 51.487528.0000 51.658828.5000 51.821729.0000 51.976729.5000 52.124230.0000 52.2644

0.0000 10.0000 20.0000 30.0000 40.0000 50.0000 60.00000.0000

10.0000

20.0000

30.0000

40.0000

50.0000

60.0000

Time (minutes)

Tank

Hei

ght (

ft)

Page 3: Noninteractive Tanks

30.5000 52.397931.0000 52.524831.5000 52.645532.0000 52.760332.5000 52.869533.0000 52.973533.5000 53.072334.0000 53.166334.5000 53.255735.0000 53.340835.5000 53.421736.0000 53.498736.5000 53.571937.0000 53.641637.5000 53.707838.0000 53.770838.5000 53.830839.0000 53.887839.5000 53.942040.0000 53.993640.5000 54.042741.0000 54.089441.5000 54.133842.0000 54.176142.5000 54.216343.0000 54.254543.5000 54.290844.0000 54.325444.5000 54.358345.0000 54.389645.5000 54.419446.0000 54.447746.5000 54.474647.0000 54.500347.5000 54.524648.0000 54.547848.5000 54.569949.0000 54.590849.5000 54.610850.0000 54.629850.5000 54.647851.0000 54.665051.5000 54.681452.0000 54.696952.5000 54.7117

Page 4: Noninteractive Tanks

53.0000 54.725753.5000 54.739154.0000 54.751854.5000 54.763955.0000 54.775555.5000 54.786456.0000 54.796856.5000 54.806757.0000 54.816257.5000 54.825158.0000 54.833758.5000 54.841859.0000 54.849559.5000 54.856860.0000 54.8638

Page 5: Noninteractive Tanks

Colegio San Agustin - BacolodCollege of Engineering

ChE 501: Computing Applications and Simulations in ChEEndterm Exam

System Response of Non-interactive Cascading Tanks

Response Lag N/A min

Natural Oscillation Frequency N/A rad/minPercentage Overshoot N/A

0.0000 10.0000 20.0000 30.0000 40.0000 50.0000 60.00000.0000

10.0000

20.0000

30.0000

40.0000

50.0000

60.0000

Time (minutes)

Tank

Hei

ght (

ft)

R2

Page 6: Noninteractive Tanks

0.0000 10.0000 20.0000 30.0000 40.0000 50.0000 60.00000.0000

10.0000

20.0000

30.0000

40.0000

50.0000

60.0000

Time (minutes)

Tank

Hei

ght (

ft)

Page 7: Noninteractive Tanks

0.0000 10.0000 20.0000 30.0000 40.0000 50.0000 60.00000.0000

10.0000

20.0000

30.0000

40.0000

50.0000

60.0000

Time (minutes)

Tank

Hei

ght (

ft)

Page 8: Noninteractive Tanks

0.0000 10.0000 20.0000 30.0000 40.0000 50.0000 60.00000.0000

10.0000

20.0000

30.0000

40.0000

50.0000

60.0000

Time (minutes)

Tank

Hei

ght (

ft)