Cavitation in Non-Newtonian Fluids: With Biomedical and by Emil Brujan

By Emil Brujan

Non-Newtonian homes on bubble dynamics and cavitation are essentially diversified from these of Newtonian fluids. the main major impact arises from the dramatic bring up in viscosity of polymer strategies in an extensional circulation, equivalent to that generated a few round bubble in the course of its progress or cave in part. additionally, many organic fluids, corresponding to blood, synovial fluid, and saliva, have non-Newtonian homes and will reveal major viscoelastic behaviour. This monograph elucidates common facets of bubble dynamics and cavitation in non-Newtonian fluids and applies them to the fields of biomedicine and bioengineering. additionally it provides many examples from the method industries. the sector is strongly interdisciplinary and the varied disciplines contain have and should proceed to miss and reinvent each one others’ paintings. This ebook is helping researchers to imagine intuitively in regards to the assorted physics of those structures, to try to bridge a few of the groups concerned, and to exhibit the curiosity, attractiveness, and diversity of actual phenomena that take place themselves at the micrometer and microsecond scales. Non-Newtonian fluids.- Nucleation.- Bubble dynamics.- Hydrodynamic cavitation.- Cavitation erosion.- Cardiovascular cavitation.- Cavitation in different non-newtonian organic fluids.

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The BKBZ Model The KBKZ model is an integral type constitutive equation proposed by Kaye (1962) and Bernstein et al. (1963). 5 for uniaxial extension, m = 0 for planar extension, m = 1 for biaxial extension, and ς is the extension ratio. The memory function is expressed as an exponentially fading term while the strain function can be written as (Papanastasiou et al. 75) where α and β are adjustable parameters determined from the shear and extensional results, respectively. The set of parameters {λ, a} are the conventional relaxation time and weight, which can be evaluated from simple rheological tests such as stress relaxation or sinusoidal oscillations.

1999). The density of the synovial fluid is ρ = 1008–1015 kg/m3 (Duck 1990). Rheological studies have documented three types of non-Newtonian properties for the synovial fluid: shear-thinning, elasticity, and rheopexy. King (1966) seems to be the first who tested synovial fluids of bullocks using a cone-and-plate rheometer. He found that, at very small shear rates (<10–1 s–1 ), the apparent viscosity of the synovial fluid from the knee joint is constant at a value of about 10 Ns/m2 and then decreases with increasing shear rate.

Biophys. J. 76, 573–579. , Sackmann, E. 1998 Local measurements of viscoelastic parameters of adherent cell surfaces by magnetic bead microrheometry. Biophys. J. 75, 2038–2049. , Zapas, L. 1963 A study of stress relaxation with finite strain. Trans. Soc. Rheol. 7, 391–410. , Hassanger, O. 1987 Dynamics of Polymeric Liquids: Fluid Mechanics. Wiley, New York. Broersma, S. 1960 Rotational diffusion constant of a cylindrical particle. J. Chem. Phys. 32, 1626–1631. V. 1970 Interactions among erythrocyes under shear.

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