An LDA Study of Viscoelastic Flow Past a Rotating Cylinder
Author: Richard Lee Christiansen
Publisher:
Published: 1980
Total Pages: 534
ISBN-13:
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Author: Richard Lee Christiansen
Publisher:
Published: 1980
Total Pages: 534
ISBN-13:
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Publisher:
Published: 1994
Total Pages: 772
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DOWNLOAD EBOOKAuthor: Shu-Min F. Chiao
Publisher:
Published: 1988
Total Pages: 406
ISBN-13:
DOWNLOAD EBOOKAuthor: John Michael Kramer
Publisher:
Published: 1969
Total Pages: 278
ISBN-13:
DOWNLOAD EBOOKAuthor: Amit Chawda
Publisher:
Published: 1996
Total Pages:
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DOWNLOAD EBOOKAuthor: 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: Lifeng Wang
Publisher:
Published: 1999
Total Pages: 226
ISBN-13:
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Publisher:
Published: 1948
Total Pages: 400
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: Peter Townsend
Publisher:
Published: 1979
Total Pages: 47
ISBN-13:
DOWNLOAD EBOOKNumerical solutions are presented for the two-dimensional flow past a circular cylinder in an infinite domain. The flow is assumed to be uniform at infinity and the cylinder is allowed to rotate with a constant angular velocity omega. Omega is chosen to be in the range (0 - 5W/a) where a is the radius of the cylinder and W is the mainstream velocity at infinity. To incorporate visco-elastic properties into the flow, and implicit four constant Oldroyd model is used, and the resulting nonlinear constitutive equations are solved in parallel with the equations of motion as a coupled set of partial differential equations. The method of solution used is a finite difference technique with block over-relaxation. The results are compared with those of other numerical computations as well as with available experimental data. In particular, consideration is given to the influence of cylinder rotation and of visco-elasticity on the drag and lift experienced by the cylinder and on the streamline patterns and vorticity distribution. (Author).