Abstract
Lubrication theory is applied to compute the deformation of two approaching particles suspended in a Generalized Newtonian fluid with linear elastic theory estimating deformation and force on the particles with respect to deformability δ. The relative viscosity of concentrated suspension with deformable particles in a Generalized New-tonian fluid is obtained for a simple cubic array configuration by using the results of deformation and force for two particles. Since the deformation of particles generates the freedom of moving particles geometrically, the suspension with deformable particles shows shear thinning behavior.
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References
Araki, T. and White, J. L., “Shear Viscosity of Rubber Modified Thermoplastics: Dynamically Vulcanized Thermoplastic Elastomers and ABS Resins at Low Stress”,Polymer Eng. Sci.,38, 590 (1998).
Abdou-Sabet, S., Pudyak, R. C. and Rader, C. P., “Dynamically Vulcanized Thermoplastic Elastomers”,Rubber Chemistry and Technology,69, 476 (1996).
Batchelor, G. K., “The Stress System in a Suspension of Force-Free Particles”,J. Fluid Mech.,41, 545 (1970).
Ball, R. C. and Melrose, J. R., “The Pathological Behavior of Sheared Hard-Spheres with Hydrodynamic Interactions”,Europhysics letters,32, 535 (1995).
Ball, R. C. and Melrose, J. R., “A Simulation Technique for Many Spheres in Quasi-Static Motion Under Frame-invariant Pair Drag and Brownian Forces”,Physica A,247, 444 (1997).
Catherall, A. A., Melrose, J. R. and Ball, R. C., “Shear Thickening and Order-Disorder Effects in Concentrated Colloids at High Shear Rates”,J. Rheol.,44, 1 (2000).
Christensen, H., “Elastohydrodynamic Theory of Spherical Bodies in Normal Approach”,J. Lub. Tech.,92, 145 (1970).
Davis, R. H., Serayssol, J. and Hinch, E. J., “The Elastohydrodynamic Collision of Two Spheres”,J. Fluid Mech.,163, 479 (1986).
Frankel, N. A. and Acrivos, A., “On the Viscosity of a Concentrated Suspension of Solid Spheres”,Chem. Eng. Sci.,22, 847 (1967).
Ha, J.-W. and Yang, S.-M., “Deformation and Breakup of Newtonian and Non-Newtonian Conducting Drops in an Electric Field”,J. Fluid Mech.,405, 131 (2000).
Jarzebski, G. J., “On the Effective Viscosity of Pseudoplastic Suspensions”,Rheol. Acta,20, 280 (1981).
Kim, S. W. and Chun, Y. H., “Barrier Property by Controlled Laminar Morphology of LLDPE/EVOH Blends”,Korean J. Chem. Eng.,16, 511 (1999).
Landau, L. D. and Lifshitz, E. M., “Theory of Elasticity”, 3rd ed. Pergamon Press, New York (1986).
Lee, J.-D., So, J.-H. and Yang, S.-M., “Rheological Behavior and Stability of Concentrated Silical Suspensions”,J. Rheology,43, 1117 (1999).
Loewenberg, M. and Hinch, E. J., “Numerical Simulation of a Concentrated Emulsion in Shear Flow”,J. Fluid Mech.,321, 395 (1996).
Moon, D. Y., Kwon, M. H. and Park, O. O., “Morphology Evolution in PS/LDPE Blends in a Twin Screw Extruder: Effects of Compatibilizer”,Korean J. Chem. Eng.,18, 33 (2001).
Munstedt, H., “Rheology of Rubber Modified Polymer Melts”,Polym. Eng. Sci.,21, 259 (1981).
So, J.-H., Yang, S.-M. and Hyun, J. C., “Microstructure Evolution and Rheological Responses of Hard Sphere Suspensions”,Chem. Eng. Sci.,56, 2967 (2001).
Tanaka, N. and White, J. L., “A Cell Model Theory of the Shear Viscosity of a Concentrated Suspension of Interacting Spheres in Non-Newtonian Fluid”,J. Non-Newtonian Fluid Mech.,7, 333 (1980).
Van den Brule, B. H. A. A. and Jongschaap, R. J. J., “Modeling of Concentrated Suspensions”,J. Statistical Physics,62, 1225 (1991).
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Kang, SY. Elastohydrodynamics of concentrated suspension with generalized newtonian fluid medium. Korean J. Chem. Eng. 19, 371–376 (2002). https://doi.org/10.1007/BF02697142
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DOI: https://doi.org/10.1007/BF02697142