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Colloidal suspension rheology by Jan Mewis, Norman J. Wagner

By Jan Mewis, Norman J. Wagner

"Colloidal suspensions are encountered in a mess of common, organic, and industrially suitable items and approaches. figuring out what impacts the movement habit, or rheology, of colloid debris, and the way those suspensions will be manipulated, is critical for winning formula of goods resembling paint, polymers, meals, and harmaceuticals. This ebook is the 1st dedicated to the learn of colloidal rheology in all its facets. With fabric offered in an introductory demeanour, and complicated mathematical derivations stored to a minimal, the reader will achieve a powerful clutch of the elemental ideas of colloid technological know-how and rheology. starting with simply hydrodynamic results, the contributions of Brownian movement and interparticle forces are lined, ahead of the reader is guided via particular troublesome areas equivalent to thixotropy and shear thickening; specific sessions of colloid suspensions also are handled. a necessary advisor for tutorial and commercial researchers, this booklet is usually excellent for graduate path use"-- learn more... 1. creation to colloid technological know-how and rheology -- 2. Hydrodynamic results -- three. Brownian not easy spheres -- four. strong colloidal suspensions -- five. Non-spherical debris -- 6. Weakly flocculated suspensions -- 7. Thixotropy -- eight. Shear thickening -- nine. Rheometry of suspensions -- 10. Suspensions in viscoelastic media -- eleven. complex subject matters

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When the high shear limit is a power law rather than Newtonian, one can use the Herschel-Bulkley model: ␴ = ␴yH + k␥˙ n . 37) A third model is occasionally applied to suspensions with a yield stress: ␴ n = ␴yn + k␥˙ n . 38) With n = 12 this becomes the Casson equation, which is often used to model the flow of blood, a biological suspension. The power law term appearing in these equations can be written either as (k␥˙ )n or as k␥˙ n . The form (k␥˙ )n is sometimes preferred because then the parameter k has dimensions of 1/time; in the other case the dimensions of k depend on the value of n.

For a Maxwell fluid the relaxation time ␶ also describes the time decay of the modulus as G (t) = G0 e−t/␶ . Viscoelasticity is readily apparent in steady shear flow. In contrast to the Newtonian case, the normal stress components are not equal. 49) N2 = ␴yy − ␴zz. The first normal stress difference N1 measures the difference in normal stress between the flow and gradient directions. A positive value corresponds to the fluid forcing the plates apart, which is the case for most viscoelastic fluids but, as will be shown, not true for suspensions or colloidal dispersions at high shear rates, where it can be negative.

19. 001. the mechanical energy applied will be dissipated in heat, and is consequently called the loss angle. It should be pointed out that the viscoelastic nature of a material normally depends on frequency. Viscoelastic fluids tend to become more elastic at higher frequencies and more viscous at lower ones. Instead of using the strain as a reference to express the stresses and phase angles, one could also start from an oscillatory strain rate. A viscoelastic material can then be described by a generalization of the viscosity rather than of the modulus.

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