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Elastohydrodynamics of concentrated suspension with generalized newtonian fluid medium

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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).

    Article  CAS  Google Scholar 

  • Abdou-Sabet, S., Pudyak, R. C. and Rader, C. P., “Dynamically Vulcanized Thermoplastic Elastomers”,Rubber Chemistry and Technology,69, 476 (1996).

    CAS  Google Scholar 

  • Batchelor, G. K., “The Stress System in a Suspension of Force-Free Particles”,J. Fluid Mech.,41, 545 (1970).

    Article  Google Scholar 

  • Ball, R. C. and Melrose, J. R., “The Pathological Behavior of Sheared Hard-Spheres with Hydrodynamic Interactions”,Europhysics letters,32, 535 (1995).

    Article  Google Scholar 

  • 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).

    Article  CAS  Google Scholar 

  • 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).

    Article  CAS  Google Scholar 

  • Christensen, H., “Elastohydrodynamic Theory of Spherical Bodies in Normal Approach”,J. Lub. Tech.,92, 145 (1970).

    Google Scholar 

  • Davis, R. H., Serayssol, J. and Hinch, E. J., “The Elastohydrodynamic Collision of Two Spheres”,J. Fluid Mech.,163, 479 (1986).

    Article  Google Scholar 

  • Frankel, N. A. and Acrivos, A., “On the Viscosity of a Concentrated Suspension of Solid Spheres”,Chem. Eng. Sci.,22, 847 (1967).

    Article  Google Scholar 

  • 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).

    Article  CAS  Google Scholar 

  • Jarzebski, G. J., “On the Effective Viscosity of Pseudoplastic Suspensions”,Rheol. Acta,20, 280 (1981).

    Article  CAS  Google Scholar 

  • Kim, S. W. and Chun, Y. H., “Barrier Property by Controlled Laminar Morphology of LLDPE/EVOH Blends”,Korean J. Chem. Eng.,16, 511 (1999).

    CAS  Google Scholar 

  • Landau, L. D. and Lifshitz, E. M., “Theory of Elasticity”, 3rd ed. Pergamon Press, New York (1986).

    Google Scholar 

  • Lee, J.-D., So, J.-H. and Yang, S.-M., “Rheological Behavior and Stability of Concentrated Silical Suspensions”,J. Rheology,43, 1117 (1999).

    Article  CAS  Google Scholar 

  • Loewenberg, M. and Hinch, E. J., “Numerical Simulation of a Concentrated Emulsion in Shear Flow”,J. Fluid Mech.,321, 395 (1996).

    Article  CAS  Google Scholar 

  • 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).

    CAS  Google Scholar 

  • Munstedt, H., “Rheology of Rubber Modified Polymer Melts”,Polym. Eng. Sci.,21, 259 (1981).

    Article  Google Scholar 

  • 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).

    Article  CAS  Google Scholar 

  • 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).

    Article  CAS  Google Scholar 

  • Van den Brule, B. H. A. A. and Jongschaap, R. J. J., “Modeling of Concentrated Suspensions”,J. Statistical Physics,62, 1225 (1991).

    Article  Google Scholar 

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Correspondence to Sang-Yoon Kang.

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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

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