Skip to main content
SpringerLink
Log in
Book cover

Fluid Dynamics of Viscoelastic Liquids

  • Textbook
  • © 1990

Overview

Authors:
  1. Daniel D. Joseph

    1. Department of Aerospace Engineering and Mechanics, University of Minnesota, Minneapolis, USA

    View author publications

    You can also search for this author in PubMed   Google Scholar

Part of the book series: Applied Mathematical Sciences (AMS, volume 84)

This is a preview of subscription content, log in via an institution to check access.

Access this book

Log in via an institution
eBook USD 79.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book USD 99.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book USD 109.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Other ways to access

Licence this eBook for your library

Institutional subscriptions

Table of contents (20 chapters)

  1. Front Matter

    Pages i-xvii
    Download chapter PDF

  2. Models Like Maxwell’s and Boltzmann’s

    • Daniel D. Joseph
    Pages 1-34

  3. Models Like Jeffreys’

    • Daniel D. Joseph
    Pages 35-43

  4. Equations of Motion

    • Daniel D. Joseph
    Pages 44-68

  5. Hadamard Instability and Frozen Coefficients

    • Daniel D. Joseph
    Pages 69-100

  6. Characteristics and Classification of Type

    • Daniel D. Joseph
    Pages 101-126

  7. Hyperbolicity and Change of Type in Steady Flow

    • Daniel D. Joseph
    Pages 127-163

  8. Supercritical Flow Past Bodies

    • Daniel D. Joseph
    Pages 164-208

  9. Mach Wedges and Upstream Influence in the Partly Hyperbolic Flow Over a Flat Plate

    • Daniel D. Joseph
    Pages 209-248

  10. Hyperbolicity and Change of Type in Sink Flow

    • Daniel D. Joseph
    Pages 249-272

  11. Anomalous Elongational Flows and Change of Type

    • Daniel D. Joseph
    Pages 273-295

  12. Similarity Solutions that Give Rise to Hyperbolicity and Change of Type in Steady Flows of Viscoelastic Fluids

    • Daniel D. Joseph
    Pages 296-327

  13. Poiseuille Flows

    • Daniel D. Joseph
    Pages 328-364

  14. Die Swell and Delayed Die Swell

    • Daniel D. Joseph
    Pages 365-409

  15. Hyperbolicity and Change of Type in the Flow Between Rotating Cylinders When the Inner Cylinder Is Corrugated

    • Daniel D. Joseph
    Pages 410-420

  16. Simple Fluids and Fading Memory

    • Daniel D. Joseph
    Pages 421-438

  17. Asymptotic Theories for Simple Fluids

    • Daniel D. Joseph
    Pages 439-480

  18. Second Order Fluids

    • Daniel D. Joseph
    Pages 481-538

  19. Elasticity and Viscosity of Liquids

    • Daniel D. Joseph
    Pages 539-572

  20. Wave Propagation in Linear Viscoelastic Fluids

    • Daniel D. Joseph
    Pages 573-604
Back to top

Keywords

About this book

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.

Authors and Affiliations

  • Department of Aerospace Engineering and Mechanics, University of Minnesota, Minneapolis, USA

    Daniel D. Joseph

Bibliographic Information

Publish with us

Policies and ethics

Back to top

Search

Navigation