Publication

Viscoelastic fluid models derived from kinetic equations for polymers

Marco Picasso
2002
Journal Articles

Abstract

Differential relationships between velocity and stress are derived from the kinetic theory of polymeric liquids. The Fokker-Planck equation corresponding to the so-called dumbbell theory for dilute solutions of polymers is considered. A Chapman-Enskog expansion for time-dependent, nonhomogeneous flows is proposed when the elastic character of the fluid is small, and the results included in the book of R. Bird, C. Curtiss, R. Armstrong, and O. Hassager [ Dynamics of Polymeric Liquids, Vol. 2, Kinetic Theory, John Wiley& Sons, New York, 1987] are recovered. A comparison with Oldroyd-B, FENE, and FENE-P fluids is presented in the frame of the plane Couette flow.

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https://infoscience.epfl.ch/entities/publication/2d529b36-7830-44f2-ae6e-8c349a884fa1

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Marco Picasso
2002
Journal Articles

Abstract

Official source

https://infoscience.epfl.ch/entities/publication/2d529b36-7830-44f2-ae6e-8c349a884fa1

About this result

Related concepts (32)

Fluid dynamics

In physics, physical chemistry and engineering, fluid dynamics is a subdiscipline of fluid mechanics that describes the flow of fluids—liquids and gases. It has several subdisciplines, including aerodynamics (the study of air and other gases in motion) and hydrodynamics (the study of liquids in motion). Fluid dynamics has a wide range of applications, including calculating forces and moments on aircraft, determining the mass flow rate of petroleum through pipelines, predicting weather patterns, understanding nebulae in interstellar space and modelling fission weapon detonation.

Fluid mechanics

Fluid mechanics is the branch of physics concerned with the mechanics of fluids (liquids, gases, and plasmas) and the forces on them. It has applications in a wide range of disciplines, including mechanical, aerospace, civil, chemical, and biomedical engineering, as well as geophysics, oceanography, meteorology, astrophysics, and biology. It can be divided into fluid statics, the study of fluids at rest; and fluid dynamics, the study of the effect of forces on fluid motion.

Fluid

In physics, a fluid is a liquid, gas, or other material that continuously deforms (flows) under an applied shear stress, or external force. They have zero shear modulus, or, in simpler terms, are substances which cannot resist any shear force applied to them. Although the term fluid generally includes both the liquid and gas phases, its definition varies among branches of science. Definitions of solid vary as well, and depending on field, some substances can be both fluid and solid.

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Viscoelastic fluid models derived from kinetic equations for polymers

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