| 书目名称 | Fluid Dynamics of Viscoelastic Liquids |
| 编辑 | Daniel D. Joseph |
| 视频video | |
| 丛书名称 | Applied Mathematical Sciences |
| 图书封面 |  |
| 描述 | 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 a |
| 出版日期 | Textbook 1990 |
| 关键词 | differential equation; dynamics; elasticity; fluid dynamics; partial differential equation; fluid- and ae |
| 版次 | 1 |
| doi | https://doi.org/10.1007/978-1-4612-4462-2 |
| isbn_softcover | 978-1-4612-8785-8 |
| isbn_ebook | 978-1-4612-4462-2Series ISSN 0066-5452 Series E-ISSN 2196-968X |
| issn_series | 0066-5452 |
| copyright | Springer-Verlag Berlin Heidelberg 1990 |
发表于 2025-3-21 18:59:43
