Fluid dynamics of viscoelastic liquids /
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 th...
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| Format: | Book |
| Language: | English |
| Published: |
New York :
Springer-Verlag,
[1990], ©1990
New York : c1990 New York : ©1990 New York : c1990 New York : [1990] |
| Series: | Applied mathematical sciences (Springer-Verlag New York Inc.) ;
v. 84 Applied mathematical sciences (Springer-Verlag New York Inc.) ; v.84 Applied mathematical sciences (Springer-Verlag New York Inc.) v. 84 |
| Subjects: |
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| 100 | 1 | |a Joseph, Daniel D |0 http://viaf.org/viaf/sourceID/LC|n80045003 | |
| 100 | 1 | |a Joseph, Daniel D |1 http://viaf.org/viaf/56673442 | |
| 100 | 1 | |a Joseph, Daniel D | |
| 245 | 1 | 0 | |a Fluid dynamics of viscoelastic liquids / |c Daniel D. Joseph |
| 260 | |a New York : |b Springer-Verlag, |c [1990], ©1990 | ||
| 260 | |a New York : |b Springer-Verlag, |c c1990 | ||
| 260 | |a New York : |b Springer-Verlag, |c ©1990 | ||
| 260 | 0 | |a New York : |b Springer-Verlag, |c c1990 | |
| 263 | |a 8912 | ||
| 264 | 1 | |a New York : |b Springer-Verlag, |c [1990] | |
| 264 | 4 | |c ©1990 | |
| 300 | |a xvii, 755 p. : |b ill. (some col.) ; |c 24 cm | ||
| 300 | |a xvii, 755 p. : |b ill. (some col.) ; |c 25 cm | ||
| 300 | |a xvii, 755 p. : |b ill. ; |c 25 cm | ||
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| 490 | 1 | |a Applied mathematical sciences (Springer-Verlag New York Inc.) | |
| 490 | 1 | |a Applied mathematical sciences ; |v v. 84 | |
| 490 | 1 | |a Applied mathematical sciences, |v v. 84 | |
| 500 | |a Includes index | ||
| 500 | |a This WorldCat-derived record is shareable under Open Data Commons ODC-BY, with attribution to OCLC |5 CTY | ||
| 504 | |a Includes bibliographical references (p. [719]-734) and indexes | ||
| 504 | |a Includes bibliographical references and index | ||
| 504 | |a Includes bibliographical references | ||
| 505 | 0 | |a Models like Maxwell's and Boltzmann's -- Models like Jeffreys' -- Equations of motion -- Hadamard instability and frozen coefficients -- Characteristics and classification of type -- Hyperbolicity and change of type in steady flow -- Supercritical flow past bodies -- Mach wedges and upstream influence in the partly hyperbolic flow over a flat plate -- Hyperbolicity and change of type in sink flow -- Anomalous elongational flows and change of type -- Similarity solutions that give rise to hyperbolicity and change of type in steady flows of viscoelastic fluids -- Poiseuille flows -- Die swell and delayed die swell -- Hyperbolicity and change of type in the flow between rotating cylinders when the inner cylinder is corrugated -- Simple fluids and fading memory -- Asymptotic theories for simple fluids -- Second order fluids -- Elasticity and viscosity of liquids -- Wave propagation in linear viscoelastic fluids -- Nonlinear waves | |
| 520 | |a 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 | ||
| 650 | 0 | |a Differential equations, Partial | |
| 650 | 0 | |a Liquids | |
| 650 | 0 | |a Viscous flow | |
| 650 | 2 | |a Differential equations, Partial | |
| 650 | 7 | |a Differential equations, Partial |2 fast | |
| 650 | 7 | |a Liquids |2 fast | |
| 650 | 7 | |a Viscous flow |2 fast | |
| 776 | 0 | 8 | |i Online version: |a Joseph, Daniel D |t Fluid dynamics of viscoelastic liquids. |d New York : Springer-Verlag, ©1990 |w (OCoLC)610154720 |
| 776 | 1 | |w (OCoLC)610154720 | |
| 830 | 0 | |a Applied mathematical sciences (Springer-Verlag New York Inc.) ; |v v. 84 | |
| 830 | 0 | |a Applied mathematical sciences (Springer-Verlag New York Inc.) ; |v v.84 | |
| 830 | 0 | |a Applied mathematical sciences (Springer-Verlag New York Inc.) |v v. 84 | |
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