Piping Loss Calculations                                                  Turbulent Flow Solution
Input Values                          Head Loss, given
                                      piping and flow
                                                                          4" sch 80                                6" sch 80
     Pipe ID      0.0972 m               Velocity         2.70            D=                    0.0972                 0.1541
  Roughness        5E-05 m                     Re    2.62E+03             W=                       22.3 kg/m              28.2
     Length          200 m               Geuss f      0.02000             hf=                       39 m                   4.7
     Sum(K)           11                Iterate       0.05363
                                          f to        0.04459             Pw=rho g HQ           19122 W                 2304
     Density        2500 kg/m^3        improve        0.04609             Ps=Pw/efficiency      38243 W                 4609
     Kin Visc     0.0001 m^2/s                        0.04581             /1000 W/kW               38 kW                   5
                                          Final f     0.04586             *24*365 hrs/year     335012 kW/hr/year       40373
                                                                          *$0.08/kWhr           26801 $/year            3230
        Head        100.0 m                Head           39.0
        Flow     0.02000 m^3/s             Flow       0.02000             Mass of pipe            4460                  5640
                                                                          Cost of Pipe           44600                 56400
                                      Power + Initial cost                Year 1                 71401                 59630
adjusted to present value at 8%       Power/1.08                          Year 2                 24816                  2991
                                      Power/1.08^2                        Year 3                 22978                  2769
                                                                          Total                119194                  65390
The 6 inch pipe is most economical
Piping Loss Calculations                                                  Laminar Flow Solution
Input Values                          Head Loss, given
                                      piping and flow
                                                                          4" sch 80                                6" sch 80
     Pipe ID      0.0972 m               Velocity         2.70            D=                    0.0972                 0.1541
  Roughness        5E-05 m                     Re    2.62E+03             W=                       22.3 kg/m              28.2
     Length          200 m               Geuss f                          hf=                      22.7 m                  3.6
     Sum(K)           11                Iterate
                                          f to                            Pw=rho g HQ           11130 W                 1765
     Density        2500 kg/m^3        improve                            Ps=Pw/efficiency      22260 W                 3530
     Kin Visc     0.0001 m^2/s                                            /1000 W/kW               22 kW                   4
                                          Final f     0.02443             *24*365 hrs/year     194994 kW/hr/year       30924
                                                                          *$0.08/kWhr           15600 $/year            2474
        Head        100.0 m                Head           22.7
        Flow     0.02000 m^3/s             Flow       0.02000             Mass of pipe            4460                  5640
                                                                          Cost of Pipe           44600                 56400
                                      Power + Initial cost                Year 1                 60200                 58874
adjusted to present value at 8%       Power/1.08                          Year 2                 14444                  2291
                                      Power/1.08^2                        Year 3                 13374                  2121
                                                                          Total                  88018                 63286
The 6 inch pipe is most economical
The most realistic assumption is probably laminar flow in the 6 inch pipe and turbulent flow in the 4 inch pipe.