Author: Daniel D. Joseph
Publisher: Springer Science & Business Media
ISBN: 1461244625
Category : Science
Languages : en
Pages : 772
Book Description
This book is about two special topics in rheological fluid mechanics: the elasticity of liquids and asymptotic theories of constitutive models. The major emphasis of the book is on the mathematical and physical consequences of the elasticity of liquids; seventeen of twenty chapters are devoted to this. Constitutive models which are instantaneously elastic can lead to some hyperbolicity in the dynamics of flow, waves of vorticity into rest (known as shear waves), to shock waves of vorticity or velocity, to steady flows of transonic type or to short wave instabilities which lead to ill-posed problems. Other kinds of models, with small Newtonian viscosities, give rise to perturbed instantaneous elasticity, associated with smoothing of discontinuities as in gas dynamics. There is no doubt that liquids will respond like elastic solids to impulses which are very rapid compared to the time it takes for the molecular order associated with short range forces in the liquid, to relax. After this, all liquids look viscous with signals propagating by diffusion rather than by waves. For small molecules this time of relaxation is estimated as lQ-13 to 10-10 seconds depending on the fluids. Waves associated with such liquids move with speeds of 1 QS cm/s, or even faster. For engineering applications the instantaneous elasticity of these fluids is of little interest; the practical dynamics is governed by diffusion, ·say, by the Navier-Stokes equations. On the other hand, there are other liquids which are known to have much longer times of relaxation.
Fluid Dynamics of Viscoelastic Liquids
Author: Daniel D. Joseph
Publisher: Springer Science & Business Media
ISBN: 1461244625
Category : Science
Languages : en
Pages : 772
Book Description
This book is about two special topics in rheological fluid mechanics: the elasticity of liquids and asymptotic theories of constitutive models. The major emphasis of the book is on the mathematical and physical consequences of the elasticity of liquids; seventeen of twenty chapters are devoted to this. Constitutive models which are instantaneously elastic can lead to some hyperbolicity in the dynamics of flow, waves of vorticity into rest (known as shear waves), to shock waves of vorticity or velocity, to steady flows of transonic type or to short wave instabilities which lead to ill-posed problems. Other kinds of models, with small Newtonian viscosities, give rise to perturbed instantaneous elasticity, associated with smoothing of discontinuities as in gas dynamics. There is no doubt that liquids will respond like elastic solids to impulses which are very rapid compared to the time it takes for the molecular order associated with short range forces in the liquid, to relax. After this, all liquids look viscous with signals propagating by diffusion rather than by waves. For small molecules this time of relaxation is estimated as lQ-13 to 10-10 seconds depending on the fluids. Waves associated with such liquids move with speeds of 1 QS cm/s, or even faster. For engineering applications the instantaneous elasticity of these fluids is of little interest; the practical dynamics is governed by diffusion, ·say, by the Navier-Stokes equations. On the other hand, there are other liquids which are known to have much longer times of relaxation.
Publisher: Springer Science & Business Media
ISBN: 1461244625
Category : Science
Languages : en
Pages : 772
Book Description
This book is about two special topics in rheological fluid mechanics: the elasticity of liquids and asymptotic theories of constitutive models. The major emphasis of the book is on the mathematical and physical consequences of the elasticity of liquids; seventeen of twenty chapters are devoted to this. Constitutive models which are instantaneously elastic can lead to some hyperbolicity in the dynamics of flow, waves of vorticity into rest (known as shear waves), to shock waves of vorticity or velocity, to steady flows of transonic type or to short wave instabilities which lead to ill-posed problems. Other kinds of models, with small Newtonian viscosities, give rise to perturbed instantaneous elasticity, associated with smoothing of discontinuities as in gas dynamics. There is no doubt that liquids will respond like elastic solids to impulses which are very rapid compared to the time it takes for the molecular order associated with short range forces in the liquid, to relax. After this, all liquids look viscous with signals propagating by diffusion rather than by waves. For small molecules this time of relaxation is estimated as lQ-13 to 10-10 seconds depending on the fluids. Waves associated with such liquids move with speeds of 1 QS cm/s, or even faster. For engineering applications the instantaneous elasticity of these fluids is of little interest; the practical dynamics is governed by diffusion, ·say, by the Navier-Stokes equations. On the other hand, there are other liquids which are known to have much longer times of relaxation.
Viscoelastic Fluids
Continuum Mechanics of Viscoelastic Liquids
Author: R. R. Huilgol
Publisher: Hindustan Publishing Corporation (India)
ISBN:
Category : Science
Languages : en
Pages : 392
Book Description
Publisher: Hindustan Publishing Corporation (India)
ISBN:
Category : Science
Languages : en
Pages : 392
Book Description
Topics in the Fluid Mechanics of Viscoelastic Liquids
Mechanics of Viscoelastic Fluids
Author: S. Zahorski
Publisher: Springer
ISBN:
Category : Science
Languages : en
Pages : 344
Book Description
Publisher: Springer
ISBN:
Category : Science
Languages : en
Pages : 344
Book Description
Coating Flows and Processing of Viscoelastic Liquids
Author: Anastasios C. Papanastasiou
Publisher:
ISBN:
Category : Fluid dynamics
Languages : en
Pages : 502
Book Description
Publisher:
ISBN:
Category : Fluid dynamics
Languages : en
Pages : 502
Book Description
The Mechanics of Viscoelastic Fluids
Author: American Society of Mechanical Engineers. Applied Mechanics Division
Publisher:
ISBN:
Category : Fluid dynamics
Languages : en
Pages : 140
Book Description
Publisher:
ISBN:
Category : Fluid dynamics
Languages : en
Pages : 140
Book Description
Lectures on Visco-Plastic Fluid Mechanics
Author: Guillaume Ovarlez
Publisher: Springer
ISBN: 3319894382
Category : Technology & Engineering
Languages : en
Pages : 259
Book Description
The book is designed for advanced graduate students as well as postdoctoral researchers across several disciplines (e.g., mathematics, physics and engineering), as it provides them with tools and techniques that are essential in performing research on the flow problems of visco-plastic fluids. The following topics are treated: analysis of classical visco-plastic fluid models mathematical modeling of flows of visco-plastic fluids computing flows of visco-plastic fluids rheology of visco-plastic fluids and visco-plastic suspensions application of visco-plastic fluids in engineering sciences complex flows of visco-plastic fluids.
Publisher: Springer
ISBN: 3319894382
Category : Technology & Engineering
Languages : en
Pages : 259
Book Description
The book is designed for advanced graduate students as well as postdoctoral researchers across several disciplines (e.g., mathematics, physics and engineering), as it provides them with tools and techniques that are essential in performing research on the flow problems of visco-plastic fluids. The following topics are treated: analysis of classical visco-plastic fluid models mathematical modeling of flows of visco-plastic fluids computing flows of visco-plastic fluids rheology of visco-plastic fluids and visco-plastic suspensions application of visco-plastic fluids in engineering sciences complex flows of visco-plastic fluids.
Mechanics of Viscoelastic Fluids
Author: Stefan Zahorski
Publisher:
ISBN: 9788301023812
Category :
Languages : en
Pages : 321
Book Description
Publisher:
ISBN: 9788301023812
Category :
Languages : en
Pages : 321
Book Description
Dynamics of Polymeric Liquids, Volume 1
Author: R. Byron Bird
Publisher: Wiley-Interscience
ISBN:
Category : Science
Languages : en
Pages : 680
Book Description
This revision of an introductory text examines Newtonian liquids and polymer fluid mechanics. It begins with a review of the main ideas of fluid dynamics as well as key points of Newtonian fluids.
Publisher: Wiley-Interscience
ISBN:
Category : Science
Languages : en
Pages : 680
Book Description
This revision of an introductory text examines Newtonian liquids and polymer fluid mechanics. It begins with a review of the main ideas of fluid dynamics as well as key points of Newtonian fluids.