Fluid Dynamics of Viscoelastic Liquids, Softcover reprint of the original 1st ed. 1990 Applied Mathematical Sciences Series, Vol. 84

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.

Preface. 1. Moving Toward an Integrated Decision Support System for Manpower Planning at Continental Airlines: Optimization of Pilot Training Assignments, Gang Yu, et al. 2. Shortcomings of MRP II and a New Planning Meta-Method, A. Kimms, A. Drexl. 3. The Development, Implementation and Use of a Package to Facilitate Planning and Production Scheduling in a Tobacco Processing Plant, M.G. Nicholls. 4. Stability Radius of an Optimal Schedule: A Survey and Recent Developments, Y.N. Sotskov, et al. 5. Scheduling Jobs with Sequence Dependent Setups on Coupled Lines, E.C. Sewell, J.C. Tan. 6. Optimizing the Radial Component Insertion Operations on PCBs, S.Y. Chang, et al. 7. Combinatorial Optimization in a Cattle Yard: Feed Distribution, Vehicle Scheduling, Lot Sizing, and Dynamic Pen Assignment, M. Dror, J.M.Y. Leung. 8. Optimizing a Retail Promotional Calendar by Mixed Integer, Linear Programming, S.A. Smith. 9. An Implementation of a System Using Heuristics to Support Decisions About Shop Floor Setup Changes, R. Dé. 10. Integrative Population Analysis for Better Solutions to Large-Scale Mathematical Programs, F. Glover, et al. 11. Lagrangian Relaxation for Flow Shop Scheduling, G.G. Polak. 12. A Heuristic for Vehicle Routing and Manpower Planning, G.A. Bohoris, J.M. Thomas. 13. Conceptual Design and Analysis of Rail Car Unloading Area, J.F. Bard. 14. A Study of the Space Shuttle Scheduling Problem, S.A. Brah, J.L. Hunsucker. 15. Models and Implementation Techniques for Local Access Telecommunication Network Design, Geon Cho, D.X. Shaw. Appendix A: Pseudo-Code of Algorithm 2.