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Mixing strain distribution functions

If we accept the premise that the total strain is a key variable in the quality of laminar mixing, we are immediately faced with the problem that in most industrial mixers, and in processing equipment in general, different fluid particles experience different strains. This is true for both batch and continuous mixers. In the former, the different strain histories are due to the different paths the fluid particles follow in the mixer, whereas in a continuous mixer, superimposed on the different paths there is also a different residence time for every fluid particle in the mixer. To quantitatively describe the various strain histories, strain distribution functions (SDF) were defined (56), which are similar in concept to the residence time distribution functions discussed earlier. [Pg.364]

As discussed in Chapter 6, the quality of mixing is related to the increase in interfacial area, which is proportional to strain. The calculation of the average strain, y, requires the residence time distribution function,/(f). We present the analysis for isothermal Newtonian flow in a single-screw extruder only, which is due to Pinto and Tadmor (1970). We give only a descriptive analysis for twin-screw extruders. [Pg.258]

In distributive mixing, the flow field produces deformation in the dispersed phase, without inducing breakup. As a consequence, a lamellar morphology of alternating striations of dispersed phase and the matrix is obtained, which can be characterized by the striation thickness distribution. Note that the striation thickness (5) is a function of the initial length scale (la), viscosity of the dispersed phase r]i), total shear strain (y) (product of shear rate and time), volume fraction of the dispersed phase (4>a), and viscosity of the matrix (rim) [59] (Eq. (3.1)) ... [Pg.30]


See other pages where Mixing strain distribution functions is mentioned: [Pg.357]    [Pg.372]    [Pg.177]    [Pg.182]    [Pg.358]    [Pg.359]    [Pg.252]    [Pg.252]    [Pg.182]    [Pg.261]    [Pg.785]    [Pg.714]    [Pg.178]    [Pg.571]    [Pg.128]    [Pg.47]    [Pg.146]    [Pg.184]    [Pg.86]    [Pg.130]    [Pg.178]   
See also in sourсe #XX -- [ Pg.364 , Pg.365 , Pg.366 , Pg.367 , Pg.368 , Pg.369 , Pg.370 , Pg.371 ]




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