An action involves the expansion of how much water a sewer system can handle. Determine the impacted condition of this action during an extreme rainfall event. There are two flows into the sewer: (1) water from households and (2) water from the storm. There are two flows out of the sewer: (3) to a wastewater treatment plant and (4) the rest to a nearby river. In from houses: Q₁=30x10° L/day b) c) In from storm: Q₂=10x106 L/day Sewer =10³ L Out to a river: Q(t=0)=5x106 L/day Q₁(t=∞)=? L/day Out to wastewater plant: Q₂=25x106 L/day Model the sewer water as OD. a) Derive an expression (variables only, no numbers) for the unsteady uniform volume accumulation of water in the sewer (dv/dt) in L/day when only 5x106 L/day is initially released to the river. Starting from your result to part a, derive an expression for the steady uniform media flowrate Q4(t=00). Determine the values of dv/dt when Q4=Q4(t=0) = 5x106 L/day and the value of Q4(t=∞o).

Elements Of Electromagnetics
7th Edition
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Author:Sadiku, Matthew N. O.
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ChapterMA: Math Assessment
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In from storm:
Q=10x10° L/day
An action involves the expansion of how much water a
sewer system can handle. Determine the impacted
condition of this action during an extreme rainfall
Sewer
Out to a river:
In from houses:
Q;=30x10 L/day
_a(t=0)=5x106 L/day
Q(t=00)=? L/day
event. There are two flows into the sewer: (1) water
+=10° L
from households and (2) water from the storm. There
are two flows out of the sewer: (3) to a wastewater
Out to wastewater plant:
Q3=25x106 L/day
treatment plant and (4) the rest to a nearby river.
Model the sewer water as OD.
a) Derive an expression (variables only, no numbers) for the unsteady uniform volume
accumulation of water in the sewer (dV/dt) in L/day when only 5x106 L/day is initially
released to the river.
b) Starting from your result to part a, derive an expression for the steady uniform media
flowrate Qa(t=).
c) Determine the values of d/dt when Q4 =Qa(t=0)= 5x106 L/day and the value of Qa(t=).
Transcribed Image Text:In from storm: Q=10x10° L/day An action involves the expansion of how much water a sewer system can handle. Determine the impacted condition of this action during an extreme rainfall Sewer Out to a river: In from houses: Q;=30x10 L/day _a(t=0)=5x106 L/day Q(t=00)=? L/day event. There are two flows into the sewer: (1) water +=10° L from households and (2) water from the storm. There are two flows out of the sewer: (3) to a wastewater Out to wastewater plant: Q3=25x106 L/day treatment plant and (4) the rest to a nearby river. Model the sewer water as OD. a) Derive an expression (variables only, no numbers) for the unsteady uniform volume accumulation of water in the sewer (dV/dt) in L/day when only 5x106 L/day is initially released to the river. b) Starting from your result to part a, derive an expression for the steady uniform media flowrate Qa(t=). c) Determine the values of d/dt when Q4 =Qa(t=0)= 5x106 L/day and the value of Qa(t=).
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