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1

Joseph, Daniel D. Fluid Dynamics of Viscoelastic Liquids. Springer New York, 1990. http://dx.doi.org/10.1007/978-1-4612-4462-2.

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2

Joseph, Daniel D. Fluid dynamics of viscoelastic liquids. Springer-Verlag, 1990.

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3

Meng, Sha. A spectral element method for viscoelastic fluid flow. De Montfort University, 2001.

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4

Kokkonidis, N. Numerical simulation of viscoelastic fluid flow using integral constitutive equations and finite volume methods. UMIST, 1996.

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5

IUTAM Symposium on Numerical Simulation of Non-Isothermal Flow of Viscoelastic Liquids (1993 Kerkrade, Netherlands). IUTAM Symposium on Numerical Simulation of Non-Isothermal Flow of Viscoelastic Liquids: Proceedings of an IUTAM symposium held in Kerkrade, the Netherlands, 1-3 November 1993. Kluwer Academic Publishers, 1995.

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6

Dunwoody, J. Elements of stability of viscoelastic fluids. Longman Scientific & Technical, 1989.

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7

Joseph, Daniel D. Potential flows of viscous and viscoelastic fluids. Cambridge University Press, 2007.

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8

Leonov, A. I., and A. N. Prokunin. Nonlinear Phenomena in Flows of Viscoelastic Polymer Fluids. Springer Netherlands, 1994. http://dx.doi.org/10.1007/978-94-011-1258-1.

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9

Leonov, A. I. Nonlinear phenomena in flows of viscoelastic polymer fluids. Chapman & Hall, 1994.

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10

Leonov, A. I. Nonlinear Phenomena in Flows of Viscoelastic Polymer Fluids. Springer Netherlands, 1994.

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11

Siginer, Dennis A. Stability of Non-Linear Constitutive Formulations for Viscoelastic Fluids. Springer International Publishing, 2014. http://dx.doi.org/10.1007/978-3-319-02417-2.

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12

Hulsen, Martinus Antonius. Analysis and numerical simulation of the flow of viscoelastic fluids. Delft University Press, 1988.

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13

Dijksman, J. F. IUTAM Symposium on Numerical Simulation of Non-Isothermal Flow of Viscoelastic Liquids: Proceedings of an IUTAM Symposium held in Kerkrade, The Netherlands, 1-3 November 1993. Springer Netherlands, 1995.

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14

Joseph, Daniel D. Fluid Dynamics of Viscoelastic Liquids. Springer, 2013.

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15

Joseph, Daniel D. Fluid Dynamics of Viscoelastic Liquids. Springer London, Limited, 2013.

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16

Joseph, Daniel D. Fluid Dynamics of Viscoelastic Liquids (Applied Mathematical Sciences). Springer, 2007.

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17

Quintana, Gina C. The effect of Marangoni forces on the translational terminal velocity of newtonian droplets in a viscoelastic fluid of infinite extent. 1986.

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18

Dunwoody, J. Elements of Stability in Viscoelastic Fluid (Pitman Research Notes in Mathematics). Longman Higher Education, 1990.

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19

Tanaka, H. Phase separation in soft matter: the concept of dynamic asymmetry. Oxford University Press, 2017. http://dx.doi.org/10.1093/oso/9780198789352.003.0015.

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In this article, we review the basic physics of viscoelastic phase separation including fracture phase separation. We show that with an increase in the ratio of the deformation rate of phase separation to the slowest mechanical relaxation rate the type of phase separation changes from fluid phase separation, to viscoelastic phase separation, to fracture phase separation. We point out that there is a physical analogy of this to the transition of the mechanical fracture behaviour of materials under shear from liquid-type, to ductile, to brittle fracture. This allows us to discuss phase separatio
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20

Furst, Eric M., and Todd M. Squires. Particle motion. Oxford University Press, 2018. http://dx.doi.org/10.1093/oso/9780199655205.003.0002.

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The movement of colloidal particles in simple and complex fluids and viscoelastic solids is central to the microrheology endeavor. All microrheology experiments measure the resistance of a probe particle forced to move within a material, whether that probe is forced externally or simply allowed to fluctuate thermally. This chapter lays a foundation of the fundamental mechanics of micrometer-dimension particles in fluids and soft solids. In an active microrheology experiment, a colloid of radius a is driven externally with a specifed force F (e.g.magnetic, optical, or gravitational), and moves
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21

Funada, Toshio, Jing Wang, and Daniel D. Joseph. Potential Flows of Viscous and Viscoelastic Fluids. Cambridge University Press, 2007.

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22

Leonov, A. I., and A. N. Prokunin. Nonlinear Phenomena in Flows of Viscoelastic Polymer Fluids. Springer Netherlands, 2012.

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23

Leonov, A. I., and A. N. Prokunin. Nonlinear Phenomena in Flows of Viscoelastic Polymer Fluids. Springer, 1994.

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24

Stability Of Nonlinear Constitutive Formulations For Viscoelastic Fluids. Springer International Publishing AG, 2013.

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25

Nonlinear Phenomena in Flows of Viscoelastic Polymer Fluids. Island Press, 1994.

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26

Siginer, Dennis A. Stability of Non-Linear Constitutive Formulations for Viscoelastic Fluids. Springer London, Limited, 2013.

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27

Ystrom, Jacob. On the Numerical Modeling of Concentrated Suspensions and of Viscoelastic Fluids (Doctoral Thesis, Stockholm, Royal Institute of Technology). KTH, 1996.

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28

Furst, Eric M., and Todd M. Squires. Microrheology. Oxford University Press, 2018. http://dx.doi.org/10.1093/oso/9780199655205.001.0001.

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We present a comprehensive overview of microrheology, emphasizing the underlying theory, practical aspects of its implementation, and current applications to rheological studies in academic and industrial laboratories. Key methods and techniques are examined, including important considerations to be made with respect to the materials most amenable to microrheological characterization and pitfalls to avoid in measurements and analysis. The fundamental principles of all microrheology experiments are presented, including the nature of colloidal probes and their movement in fluids, soft solids, an
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