did-you-know? rent-now

Rent More, Save More! Use code: ECRENTAL

did-you-know? rent-now

Rent More, Save More! Use code: ECRENTAL

5% off 1 book, 7% off 2 books, 10% off 3+ books

9789812563200

Vortex Dominated Flows: A Volume Celebrating Lu Ting's 80th Birthday

by ; ; ;
  • ISBN13:

    9789812563200

  • ISBN10:

    9812563202

  • Format: Hardcover
  • Copyright: 2005-08-08
  • Publisher: World Scientific Pub Co Inc
  • Purchase Benefits
  • Free Shipping Icon Free Shipping On Orders Over $35!
    Your order must be $35 or more to qualify for free economy shipping. Bulk sales, PO's, Marketplace items, eBooks and apparel do not qualify for this offer.
  • eCampus.com Logo Get Rewarded for Ordering Your Textbooks! Enroll Now
List Price: $148.00
  • Digital
    $250.88
    Add to Cart

    DURATION
    PRICE

Summary

Honoring the contributions of one of the field's leading experts, Lu Ting, this indispensable volume contains important new results at the cutting edge of research. A wide variety of significant new analytical and numerical results in critical areas are presented, including point vortex dynamics, superconductor vortices, cavity flows, vortex breakdown, shock/vortex interaction, wake flows, magneto-hydrodynamics, rotary wake flows, and hypersonic vortex phenomena. The book will be invaluable for those interested in the state of the art of vortex dominated flows, both from a theoretical and applied perspective. Professor Lu Ting and Joe Keller have worked together for over 40 years. In their first joint work entitled ?Periodic vibrations of systems governed by nonlinear partial differential equations?, perturbation analysis and bifurcation theory were used to determine the frequencies and modes of vibration of various physical systems. The novelty was the application to partial differe

Table of Contents

Preface xiii
Foreword xxix
Joeseph B. Keller
Circular Discrepancy and a Monte Carlo Algorithm for Generating a Low Circular Discrepancy Sequence
1(20)
Introduction
1(2)
Circular discrepancy
3(1)
Measuring Δ[P]
3(4)
The vortex points
7(2)
Other sequences
9(4)
Mapping the square to a disc
10(1)
Hammersley sequence
11(1)
Antonov-Saleev variant of the Sobol sequence
11(1)
Example
12(1)
Numerical results 1
13(1)
Numerical results 2
14(1)
Conclusion
15(6)
Periodic and Quasiperiodic Motion of Point Vortices
21(22)
Introduction
22(2)
Symplectic preliminaries
24(2)
Fixed point theorems
26(1)
Hamiltonian formulation of point vortex dynamics
27(6)
Decomposition of the Hamiltonian
33(2)
Estimates of the non-integrable perturbations
35(1)
Application of KAM and fixed point theorems
36(3)
Concluding remarks
39(4)
Experiments on Heave/Pitch Limit-Cycle Oscillations of a Supercritical Airfoil Close to the Transonic Dip
43(24)
Introduction
44(3)
Test set-up
47(1)
Equations of motion
48(4)
Structural-dynamic parameters
50(1)
Method of flutter calculations
50(2)
Results and discussion
52(11)
Transonic dip
52(4)
Limit-cycle oscillations
56(3)
Energy exchange in limit-cycle oscillations
59(4)
Concluding remarks
63(4)
Vortices in Superconductors
67(20)
Introduction
68(1)
The Ginzburg-Landau model
69(6)
The time-dependent Ginzburg-Landau equations
72(2)
A simplified GL model valid for high values of κ
74(1)
The vortex state in non-ideal superconductors
75(12)
Pinning of vortices
76(2)
Josephson junctions
78(2)
Surface superconductivity in high fields
80(2)
Thermal fluctuations
82(5)
Accurate Numerical Simulation of Three-dimensional Lid-driven Cavity Flows with Different Span Lengths
87(12)
Introduction
88(1)
Formulation and numerical method
88(5)
Governing equations
88(1)
Numerical method
89(4)
Results
93(3)
Concluding remarks
96(3)
Geometric, Stochastic and Algebraic Vortices
99(20)
Introduction
99(4)
Geometric vortices
103(3)
Conservation laws
103(1)
Slender vortices
104(1)
Diffusive vortices
105(1)
Stochastic vortices
106(4)
Proper orthogonal decomposition
106(1)
A de-noising definition of coherent vortices
107(2)
A probabilistic version of the vorticity equation
109(1)
Algebraic vortices
110(5)
Numerical vortex methods
110(3)
Adaptive wavelet method for the vorticity equation
113(2)
Conclusions
115(4)
Experimental Investigation & Numerical Simulation of Oblique Shock/Vortex Interaction
119(16)
Dedication to Professor Lu Ting
119(1)
Introduction
119(2)
Experimental investigation
121(5)
Experimental setup
122(1)
Measurement techniques
123(1)
Experimental program
124(2)
Numerical investigation
126(1)
Computational setup and boundary conditions
126(1)
Results
127(3)
Experimental results
127(1)
Weak/moderate interaction
127(2)
Numerical results
129(1)
Conclusions
130(5)
Breakdown of Slender Vortices: The State of the Art
135(22)
Introduction
136(2)
Inviscid incompressible flow
138(7)
Viscous incompressible flow
145(8)
Concluding remarks
153(4)
A Numerical Analysis of Vortex Dislocation in Wake-type Flow with Different Spanwise Nonuniformity
157(12)
Introduction
158(1)
Numerical simulation and method
159(3)
Numerical results
162(4)
Local spanwise nonuniformity
162(3)
Stepped spanwise nonuniformity
165(1)
Concluding remarks
166(3)
Vortex Dipole Coordinates on the Sphere
169(14)
Introduction
169(3)
The dipole coordinate system
172(2)
One and two dipoles
174(3)
The fundamental interactions
177(3)
Concluding remarks
180(3)
Magneto-Fluid-Dynamic Flow Control
183(16)
Dedication
183(1)
Abstract
183(1)
Introduction
184(1)
Governing equations
185(2)
Plasma models
187(1)
Electro-fluid-dynamic interaction
188(2)
Magneto-fluid-dynamic interaction
190(2)
Concluding remarks
192(7)
Interaction between Longitudinal Vortices and Normal and Oblique Shocks
199(30)
Introduction
199(2)
Governing equations
201(2)
Computational setup and boundary conditions
203(8)
Numerical method and vortex identification
211(2)
Results
213(8)
Conclusions
221(8)
Analysis of Rotor Vortex Wake Structure Using 3-C PIV Measurements
229(22)
Introduction
229(2)
Test set-up and 3-C PIV measurements
231(1)
PIV data process
231(2)
Rotation of PIV measuring plane
233(2)
Concluding remarks
235(16)
Typical Vortex Phenomena in Flow Fields Past Space Vehicles
251
Introduction
252(1)
Numerical simulation tool
253(3)
Vortical flow effects on space vehicles
256(1)
General
256(1)
Influence on lift
256(1)
Influence on drag
257(1)
Influence on heat flux
258(1)
Hot wall effects
259(1)
Conclusions
260

Supplemental Materials

What is included with this book?

The New copy of this book will include any supplemental materials advertised. Please check the title of the book to determine if it should include any access cards, study guides, lab manuals, CDs, etc.

The Used, Rental and eBook copies of this book are not guaranteed to include any supplemental materials. Typically, only the book itself is included. This is true even if the title states it includes any access cards, study guides, lab manuals, CDs, etc.

Rewards Program