MATERIALS SCIENCE & ENGINEERING:AN INTRO
10th Edition
ISBN: 9798203933584
Author: Callister
Publisher: ZYBOOKS
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4
F3
Existing Flocculation Basin Design Parameters at 22.5 MGD:
A) # of Basins: 5
B) # of Stages per Basin: 2
c) Basin Dimensions: (30 ft. X 4 ft. X 15 ft.)
D) Volume per Basin 10,800 cf (80,787 Gal)
E) Total Flocculation Volume: 54,000 cf (406,920 Gal)
F) Theoretical Unit Detention Time: 25.9 minutes
G) Flow through Velocity (Q): 1.16 ft/min
Deliverables:
1) Determine if the existing flocculation basins are sufficient to accommodate the
projected future capacity.
A) Current Capacity: 22.5 MGD
B) Future Capacity: 34.5 MGD for 110,000 residents
C) If not, determine the number of additional flocculation basins needed to
accommodate the future capacity of 34.5 MGD.
a) Ignore this bullet point
2) Specify the basic dimensions (length, width, water height, weir dimensions, etc.)
of these additional flocculation basins.
3) Specify the design flow rate, detention time, and the flow-through velocity for
each basin under the maximum future capacity of 34.5 MGD, assuming one of
the basins is…
5. State transition matrix:
(t), which is defined as,
Calculate analytically the state transition matrix
(t) = et = L¯¹{(sI – A)¯¹}
Show that the answer is the following,
1
e-4t cos(√2t) -
e-4 sin(√2 t)
1
e
-4t
√2
(t) = et
-3
1
-4t sin (√2 t)
e
COS
-4t cos (√2t) + -
e
sin(√2 t)
2-4t sin(√2 t)|
Calculate the following:
(SI - A)-1=
Use the completion - in - the-square technique (CASE 3) to calculate the inverse Laplace:
L¯¹{(SI - A)¯¹} =
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