Page 352 - The Tribology Handbook
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C14                      Total loss grease systems





               PIPE- FLOW  CALCULATIONS


                To attempt these it is necessary  that the user  should  know:
               (u) The relationship between the apparent viscosity (or shear stress) and the rate of shear, at the working temperature;
               (6)  The density of  the grease at the working temperature.
                This information can usually be obtained, for potentially suitable greases, from the lubricant supplier in graphical form as
               below  (logarithmic scales are generally used).






                                                                   .
                N  .                                              N  U
                 E
                                                                   E
                 In
                 z                                                 z
                                                                   o
                                                                   Lo
                                                                   W
                                                                   E
                                                                   I- o
                                                                   E
                 +                                                 a
                 z                                                 W
                 W
                                                                   I
                 rr                                                v)
                 a
                 a
                 a.
                 a
                               RATE OF SHEAR,  s-’                               RATE OF SHEAR,  s-’
                                    S                                                  S
                Given                  To estimate           Procedure
                                                                           ....   ~         ~~.           __
                Permissible pressureloss P/L,   Pipe  inside  diameter  D, to   calculate the value of2,167 fip/~
                                         -
                  over  a  known  length  of   give a certain rate of flow
                  DiDe                  0                     (b)  Plot  graph  of  ($)   F  against  F  from  supplier’s data  (if con-
                  .I                                             venient on log-log  paper)
                                                              (c)  Find  point  on (XS) F  scale equivalent  to  the  value found  in
                                                                 (a) above
                                                              (d)  Note value of F
                                                              (e)  Pipe diameter D  = 4LF/P
                Available pumping  pressure  P,   Rate of grease flow Q   (f) Plot curve F against S from manufacturers’ data
                  length  L  and  inside  diameter            (E)  Calculate F  = PD/4L from the given P, D and L conditions
                  D of pipe                                   (h)  Find corresponding value of S from curve
                                                              (i)  Then Q = nD3S/32
                                                               ____               __
                Rate  of  flow  Q and  inside   Pressure  gradient  P/L  to   32Q
                  diameter D  of  pipe  to  be   sustain flow rate Q   G)  Calculate S = - for given conditions
                                                                           xD3
                  used
                                                              (k)  Find corresponding value of S from the graph of F against S
                                                              (I) Then P/L = 4F/D
                                                -                                         ~_-___.~-
               Notes:
                 1  These formulae are correct for SI units, P  in N/m2, L in m, Q in m3/s. F in N/m2, S in S-’.
                 2  D is inside diameter.










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