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8  Measurement of density






             E. H. HIGHAM AND W.  H.  BOYES





             8.1  General                             8.2  Measurement of density
                                                      using weight
             The measurement and control of liquid density is
             critical to a large number of industrial processes.   The  actual  weighing  of  a  sample  of  known
             But although density in itself can be of interest, it   volume is perhaps the simplest practical  applica-
             is usually more important as a way  of  inferring   tion  of  this principle. Various methods  for con-
             composition,  or  concentration  of  chemicals  in   tinuous weighing have been devised, but the most
             solution, or of solids in suspension. In addition,   successful involves  the  use  of  a  horizontal  U-
             density is often used as a component in the meas-   shaped  tube  with  flexible couplings  at  a  pivot
             urement  of  mass  flow.  Because  the  density  of   point.
             gases is very small, the instruments for that meas-   One example of this type of instrument is the
             urement  have  to  be  very  sensitive  to  small   Fisher-Rosemount  mark  V  gravitrol  density
             changes.  They  will  be  dealt  with  separately  at   meter? shown in Figure 8.1. In it, the process fluid
             the end of the chapter.                  passes via flexible connectors into the tube loop
               In considering the measurement and control of   which is supported towards the curved end on a
             density  or relative density*  of  liquids,  the units   link associated with the force-balance measuring
             used in the two factors should be borne in mind.   system. In the pneumatic  version  of  the  instru-
             Density is defined as the mass per unit volume of   ment, the link is attached towards one end of the
             a liquid and is expressed in such units as kg/m3,   weighbeam  which  itself  is  supported  on  cross
             g/l or glml.                             flexure pivots and carries an adjustable counter-
               Relative density, on the other hand, is the ratio   balance  weight  on  the  opposite  side.  Also
             of the mass of a volume of liquid to the mass of   attached  to  the  weighbeam  is  a  dash-pot  to
             an equal volume of water at 4°C (or some other   reduce the effect of vibration induced by the flow
             specified  temperature),  the  relative  density  of   of  the  process  fluid  or  by  the  environment  in
             water being taken  as  1.0. Both  density and rela-   which the instrument is located.
             tive  density are temperature-dependent  and, for   In operation, the counterbalance weight is pos-
             high precision, the temperature at which a meas-   itioned  to  achieve  balance  with  the  tube  loop
             urement  is made will  have to be known,  so that   filled  with  fluid  having  a  density  within  the
             any necessary compensation can be introduced.   desired working range,  and the span adjustment
               The majority of industrial liquid-density instru-
             ments  are based  on the measurement  of weight,   Llquid -   Tube loop
             buoyancy.  or  hydrostatic  head,  but  measuring
             systems based on resonant elements or radiation   -
             techniques  are  also  used.  In  recent  years,  the
             increasing  popularity  of  Coriolis  force  based   Counter balance Wwhi
             mass  flowmeters  has  led  to  their  being  one  of
             the  most  common  ways  to  measure  density,
             derived, of course, from the mass flow value.




                                                          OUWA  10 2-  3  bar1
             *The term  “specific gravity” is  often used for relative           n3r  IUPPl”
                                                                                 Regulated
             density. However, it is not included in the SI System of            !l 3 bar)
             Units  and BS350  points out that it is commonly used   Figure 8 .I  Gravitrol density meter. Courtesy, Fisher-
             when the reference substance is water. “Specific gravity”   Rosemount Inc.
             is far more commonly used in the United States, where
             American Standard Units prevail.         +No longer available
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