Page 265 - Introduction to Colloid and Surface Chemistry
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254  Rheology

          Many  colloidal  systems  exhibit  so-called  Bingham  flow,  which  is
        characterised by the  equation

             a -  o- B  =  rjD                                 (9.7)

          Plasticity is due  to  a continuous  structural network which imparts
        rigidity  to  the  sample  and  which  must  be  broken  before  flow  can
        occur.  It is  often  difficult  to distinguish between  plastic and ordinary
        shear-thinning  behaviour.  Modelling  clay, drilling muds and  certain
        pigment  dispersions  are  examples  of plastic  dispersions.  Suspensions
        of  carbon  black  in  hydrocarbon  oil  often  acquire  a  yield  value  on
        standing  and  become  conducting,  owing to  the  contact  between  the
        carbon  particles  which  is  developed  throughout  the  system 217 ,
        Shearing  reduces  this  conductivity,  and  the  addition  of  peptising
        agents  reduces  both  the  conductivity  and  the  yield value.

        Shear-thickening

        Shear-thickening  is characterised  by an increase  in apparent viscosity
        with  increasing rate of  deformation.
          Shear-thickening  is  shown  in  particular,  as  a  dilatant  effect,  by
        pastes  of  densely  packed  peptised  particles  in  which  there  is  only
        snfficient  liquid to fill the  voids.  As  the  shear  rate  is increased,  this
        dense  packing  must be  broken  down to permit  the  particles  to flow
        past one another.  The resulting expansion  leaves insufficient  liquid to
        fill the  voids and  is opposed  by surface  tension  forces.  This  explains
        why  wet sand  apparently  becomes  dry and firm when walked upon.


        Time-dependent phenomena

        Thixotropy

        Thixotropy  is  the  time-dependent  analogue  of  shear-thinning and
        plastic  behaviour,  and  arises  from  somewhat  similar  causes.  If  a
        thixotropic  system  is  allowed  to  stand  and  is  then  sheared  at
        a  constant  rate,  the  apparent  viscosity  decreases  with  time  until  a
        balance  between  structural breakdown  and  structure  re-formation is
        reached.  If the  sheared  system is then allowed to stand,  it eventually
        regains  its  original structure.  A  thixotropic hysteresis  loop  (Figure
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