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Sludge
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Drain
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Design
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Program
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This
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program
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designs
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the
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channel
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that
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will
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be
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used
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for
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the
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sedimentation
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tank
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sludge
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drainage.
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The
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sludge
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drain
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runs
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along
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the
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bottom
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of
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the
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each
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sedimentation
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tank
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and
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collects
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the
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flocs
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as
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they
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fall
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from
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the
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lamella
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and
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slopes.
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Sludge
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Drain
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Design
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Algorithm
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...
...
...
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Algorithm
The number of sludge drains is determined by the number of sloped pairs in the sedimentation tanks. This is defined as N.SedSludge,
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and
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uses
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the
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number
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of
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slope
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pairs
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calculated
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in
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the
...
...
...
...
program.
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The
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orifice
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spacing
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of
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the
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sludge
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drain
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is
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set
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so
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that
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there
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are
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two
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orifices
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per
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slope
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plate.
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So
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orifice
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spacing
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is
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calculated
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as
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W.SedSlopePlate/2.
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The
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width
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of
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the
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sed
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slope
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plates
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is
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a
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basic
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user
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input.
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Next,
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the
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number
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of
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orifices
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in
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the
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pipe
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can
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be
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calculated
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given
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the
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orifice
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spacing
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and
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the
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length
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of
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the
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sedimentation
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tank
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from
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the
...
...
program.
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| Include Page | ||||
|---|---|---|---|---|
|
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The
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dimensions
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of
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the
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sludge
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drain
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channel
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and
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the
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sludge
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valve
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are
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determined
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based
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on
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the
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maximum
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acceptable
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head
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loss
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through
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the
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drain.
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Here
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it
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is
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assumed
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that
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we
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are
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willing
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to
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use
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80%
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of
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the
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available
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head
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to
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get
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the
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flow
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through
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the
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valve.
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So
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HL.Valve
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=
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0.8
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HW.Sed.
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Calculation
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of
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the
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diameter
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of
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the
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valve
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requires
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that
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we
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know
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the
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drain
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rate.
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This
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value
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is
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determined
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by
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the
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dimensions
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of
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the
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sed
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tank
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and
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the
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time
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needed
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to
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drain
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the
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tank,
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a
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user
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defined
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value.
| Latex |
|---|
} \large $$ Q_{SedSludgeDrain} = {{W_{SedBay} L_{Sed} HW_{SedEst} } \over {0.5Ti_{SludgeDrain} }} $$ {latex} |
This
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initial
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drain
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rate
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is
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then
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used
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to
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calculate
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the
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diameter
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of
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the
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valve
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needed
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via
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the
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D.pipeschedule
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funcion
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of
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the
...
...
...
program.
| Latex |
|---|
} \large $$ ND_{SedSludgeValve} = D_{pipeschedule} (Q_{SedSludgeDrain} ,EN_{PipeSpec} ,HL_{Valve} ,T_{PlantWall} ,Nu_{Water} ,E_{Pvc} ,K_{GateValve} + K_{PipeExit} ) $$ {latex} |
The
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actual
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head
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loss
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across
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the
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valve
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is
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then
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calculated
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from
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the
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head
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loss
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function
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found
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in
...
| Latex |
|---|
Functions|Fluids Functions Design Program] {latex} \large $$ HL_{Valve} = h_e (Q_{SedSludgeDrain} ,innerdiameter(ND_{SedSludgeValve} ,EN_{PipeSpec} ),K_{GateValve} + K_{PipeExit} ) $$ {latex} |
Using
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this
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result
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we
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can
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find
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the
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desired
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head
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loss
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across
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the
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sludge
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drain
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and
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then
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the
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required
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size
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of
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the
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drain
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channel.
| Latex |
|---|
} \large $$ HL_{SludgeDrain} = HW_{Sed} - HL_{Valve} $$ {latex} |
The
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diameter
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of
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the
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sludge
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drain
...
pipe
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is
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estimated
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through
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an
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iterative
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process,
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using
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the
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ID.Manifold
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equation
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found
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in
...
the
...
...
...
program.
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| Include Page | ||||
|---|---|---|---|---|
|
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Because
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the
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sludge
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drain
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is
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no
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longer
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a
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pipe
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but
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now
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a
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rectangular
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channel,
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this
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diameter
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is
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then
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used
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to
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calculate
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the
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required
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cross-sectional
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area
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of
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the
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drain.
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Based
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on
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manifold
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theory,
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the
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total
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area
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of
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the
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sludge
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orifices
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is
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equal
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to
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the
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cross
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sectional
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area
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of
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the
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manifold.
| Latex |
|---|
} \large $$ A_{SedSludge} = {\pi \over 4}ID_{SedSludge} ^2 $$ {latex} |
In
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order
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to
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reduce
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the
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total
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depth
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of
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the
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sed
...
tanks
...
we
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assume
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that
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the
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sludge
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drain
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is
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twice
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as
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wide
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as
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it
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is
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high.
| Latex |
|---|
} \large $$ W_{SedSludge} = \sqrt {2A_{SedSludge} } $$ {latex} {latex} |
| Latex |
|---|
\large
$$
H_{SedSludge} = {{A_{SedSludge} } \over {W_{SedSludge} }}
$$
{latex}
|
Once
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the
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total
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area
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of
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the
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orifices
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and
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the
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number
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of
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orifices
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have
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been
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calculated
...
the
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diameter
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of
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each
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orifice
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is
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found
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by
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rounding
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the
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required
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diameter
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up
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to
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the
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next
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available
...
drill
...
diameter.
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The
...
initial
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flow
...
rate
...
through
...
the
...
sludge
...
drain
...
is
...
calculated
...
using
...
the
...
Q.Orifice
...
equation
...
found
...
in
...
...
| Latex |
|---|
Design Program]: {latex} \large $$ Q_{SludgeDrainInitial} = Pi_{VenaContractaOrifice} A_{SedSludgeOrifice} \sqrt {2gHW_{Sed} } $$ {latex} |
The
...
thickness
...
and
...
width
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of
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the
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drain
...
cover
...
are
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determined
...
using
...
geometry.
| Latex |
|---|
} \large $$ T_{SedSludge} = T_{SedInletSlope} (1 + \sin (AN_{SedTopInlet} )) $$ {latex} |
Determination
...
of
...
W.SedDrainCover:
| Latex |
|---|
}
\large
$$
W_{SedDrainCover} = W_{SedSludgeFlat} + 2_{WSedSludgeSF} + 2{{T_{SedInletSlope} } \over {\sin (AN_{SedTopInlet} )}}
$$
|
| Wiki Markup |
|---|
{latex} \\ \\ {float:left|border=2px solid black} [!bottomsedtank.bmppng!|^bottomsedtank.png]|width=800px!|bottomsedtank.bmp] {float} \\ \\ |