Title
Fluid Dynamics of Viscoelastic Liquids (Applied Mathematical Sciences, 84),New
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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 illposed 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 lQ13 to 1010 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 NavierStokes equations. On the other hand, there are other liquids which are known to have much longer times of relaxation.
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- Q: What is the main focus of the book 'Fluid Dynamics of Viscoelastic Liquids'? A: The book primarily focuses on the elasticity of liquids and the mathematical and physical implications of this property in rheological fluid mechanics.
- Q: Who is the author of 'Fluid Dynamics of Viscoelastic Liquids'? A: The author of the book is Daniel D. Joseph.
- Q: What is the publication date of this book? A: The book was published on May 2, 1990.
- Q: How many pages does 'Fluid Dynamics of Viscoelastic Liquids' contain? A: The book contains 774 pages.
- Q: What type of binding does this book have? A: The book is available in hardcover binding.
- Q: Is this book suitable for engineering applications? A: Yes, the book discusses the practical dynamics of viscoelastic fluids, which are relevant for various engineering applications.
- Q: Does the book cover both theoretical and practical aspects of fluid dynamics? A: Yes, it covers both the theoretical and practical aspects, with a strong emphasis on the mathematical consequences of fluid elasticity.
- Q: What kind of models are discussed in this book regarding fluid dynamics? A: The book discusses constitutive models that are instantaneously elastic and models with small Newtonian viscosities.
- Q: Is this book intended for beginners in fluid dynamics? A: The content is more suitable for readers with a background in advanced mathematics and fluid mechanics, rather than complete beginners.
- Q: Are there illustrations or figures included in the book to aid understanding? A: The book includes figures and illustrations to help explain the complex concepts discussed throughout the chapters.