Orthogonal Collocation Analysis of Viscoelastic Fluid Flow in the Disk and Cylinder System
Author: Joseph P. Nirschl
Publisher:
Published: 1972
Total Pages: 526
ISBN-13:
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Author: Joseph P. Nirschl
Publisher:
Published: 1972
Total Pages: 526
ISBN-13:
DOWNLOAD EBOOKAuthor: John Michael Kramer
Publisher:
Published: 1969
Total Pages: 278
ISBN-13:
DOWNLOAD EBOOKAuthor: Christopher Thomas Hill
Publisher:
Published: 1969
Total Pages: 464
ISBN-13:
DOWNLOAD EBOOKAuthor: University of Wisconsin--Madison. Rheology Research Center
Publisher:
Published: 1980
Total Pages: 434
ISBN-13:
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Publisher:
Published: 1971
Total Pages: 500
ISBN-13:
DOWNLOAD EBOOKAuthor: Daniel D. Joseph
Publisher: Springer Science & Business Media
Published: 2013-11-27
Total Pages: 772
ISBN-13: 1461244625
DOWNLOAD EBOOKThis 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.
Author: Michael Renardy
Publisher: SIAM
Published: 2000-01-01
Total Pages: 113
ISBN-13: 9780898719413
DOWNLOAD EBOOKThis monograph is based on a series of lectures presented at the 1999 NSF-CBMS Regional Research Conference on Mathematical Analysis of Viscoelastic Flows. It begins with an introduction to phenomena observed in viscoelastic flows, the formulation of mathematical equations to model such flows, and the behavior of various models in simple flows. It also discusses the asymptotics of the high Weissenberg limit, the analysis of flow instabilities, the equations of viscoelastic flows, jets and filaments and their breakup, as well as several other topics.
Author: Richard Lee Christiansen
Publisher:
Published: 1980
Total Pages: 534
ISBN-13:
DOWNLOAD EBOOKAuthor: University of Wisconsin--Madison. Engineering Experiment Station
Publisher:
Published: 1971
Total Pages: 92
ISBN-13:
DOWNLOAD EBOOKAuthor: University of Wisconsin--Madison. Engineering Experiment Station
Publisher:
Published: 1970
Total Pages: 298
ISBN-13:
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