5.1.
1 Backwash Pump Design
Filter backwash systems will function properly only when pumps are correctly sized and
accurately controlled during runtime. One of the ways to achieve this is the use of variable
speed drive for backwash flowrate control. In backwash systems, the function of the VSD and
PID tuning is to run the pump within the acceptable range with minimum fluctuations in
flow.
Variable speed drives (VSDs) are advantageous due to low operation costs potential. To
achieve the energy saving goal, the drive speed should vary between 50% and 75% of full
speed for most of the runtime. The relationship between pump speed, flow, and head is given
by the affinity laws as follows:
                              Figure 4.1: Backwash Pump Sizing
System specifications: Flowrate      –      60m3/h
                       Static Head   -      8m
   Determining Preliminary Pipe Size
Discharge=MeanVelocity of Flow × Pipe Cross sectional Area
           π d2
Q=v ×
            4
The guideline for the velocity of water should be selected in the range of 1m/s to 3m/s.
           4Q
∴ d=
       √   πv
           4 × 0.0167
∴ d=
       √      π ×3
∴ d=0.049 m
   Pipe Size Section
Using these parameters, the pipe with nominal diameter 50mm is selected.
   Estimating Friction losses due to fittings
Elbow: Quantity – 1 (Regular flanged 90o)
From appendix A4; K = 0.28
                 v2
H f (elbow )=K
                 2g
                        12
H f (elbow )=0.28 ×
                      2× 9.81
H f (elbow )=0.014 m
Valve: Quantity – 2 (Flanged Gate Valves)
From appendix A4; K = 0.09
                v2
H f (valve)=K      ×2
                2g
                         12
H f (valve)=0.09 ×            ×2
                      2 ×9.81
H f (valve)=0.0092 m
Reducer: Quantity – 2 (Bell-mouth Inlet)
From appendix A4; K = 0.05
                  v2
H f (reducer)=K      ×2
                  2g
                          12
H f (reducer)=0.05×             ×2
                       2 × 9.81
H f (reducer)=0.0051m
   Estimating the pipe frictional losses ( H f ) using the Hazen-Williams Empirical
    Formula
Pipe material – Stainless steel, welded and seamless
Hazen William’s Coefficient (C) -100
Pipe internal diameter (d) – 0.05m
Pipe length (L) – 12m
Flowrate (Q) – 60m3/h
                10.67 × L ×Q1.852
H f ( pipe)=
                  C 1.852 ×d 4.87
                10.67 ×12 ×0.01671.852
H f ( pipe)=
                   1001.852 ×0.05 4.87
H f ( pipe )=0.133 m
Total head losses ; H f ( total )=H f ( pipe ) + H f (elbow )+ H f (reducer ) + H f (valve)
H f ( total )=0.133+ 0.0051+ 0.0092+ 0.014
H f ( total )=0.161m
Therefore, Total head (dynamic) at design conditions:
H= (10−0.5 ) +0.16
∴ H =9.66 m
    Pump Selection
                              Figure 4.2: Pump Selection Chart
From the calculations, the pump with specifications 65-50-125 is selected from the pump
selection chart above. Using these specifications from the preliminary pump selection, the
critical system parameters are selected from appendix A3. These parameters are shown on the
table below.
  Pump Type         Power         Impeller Size   Pipe Nominal      System      NPSHR
                   Required           (mm)          Diameter       Head (m)        (m)
                     (kW)                             (mm)
  Centrifugal          5               120             50            9.66           3