Skip to main content Accessibility help
×
  1. Home
  2. Browse subjects
  3. Mathematics
  4. Fluid dynamics and solid mechanics
  5. Content listing

Refine search

Refine search

Access:
Content type:
Publication date:
Apply   From and To filters
Subject: Show more
Journals Show more
Publishers: Show more
Societies Show more
Series: Show more
Collections: Show more

Actions for selected content:

Select all | Deselect all
  • View selected items
  • Export citations
  • Download PDF (zip)
  • Save to Kindle
  • Save to Dropbox
  • Save to Google Drive

Save Search

You can save your searches here and later view and run them again in "My saved searches".

Please provide a title, maximum of 40 characters.
Cancel
×

8123 results in Fluid dynamics and solid mechanics

Page 74 of 407

  • 16 - Magnetic Relaxation under Topological Constraints

  • from Part III - Dynamic Aspects of Dynamo Action
  • Keith Moffatt, University of Cambridge, Emmanuel Dormy, Ecole Normale Supérieure, Paris
  • Book:
    Self-Exciting Fluid Dynamos
    Published online:
    13 May 2019
    Print publication:
    25 April 2019, pp 441-462

  • Summary

    The theory of magnetic relaxation in a perfectly conducting but viscous fluid is presented as the counterpart of the dynamo process: both processes must be present in a statistically steady state in which the mean level of magnetic energy is constant. It is shown that the frozen-field property implies magnetic helicity conservation, which in turn implies a lower bound for the magnetic energy and so the existence of a steady state with arbitrarily prescribed magnetic field topology. Alternative relaxation procedures are described. Two-dimensional relaxation in an incompressible fluid is described, and the invariant magnetic signature function is introduced. The evolution of current sheets from saddle points of the initial field is demonstrated, with Y-type singularities at the ends of the current sheets. The relaxation of knotted structures in 3D is also discussed, and the minimum energy for a given knotted flux-tube is expressed in terms of its invariant flux and volume. Current sheets in general develop during such relaxation. Stability criteria for arbitrary magnetostatic states are obtained. Relaxation to steady solutions of the equations of ideal magnetohydrodynamics, with prescribed magnetic helicity and cross-helicity, is similarly described.

Instability in Geophysical Flows
  • William D. Smyth, Jeffrey R. Carpenter
  • Published online:
    17 April 2019
    Print publication:
    11 April 2019
  • Instabilities are present in all natural fluids from rivers to atmospheres. This book considers the physical processes that generate instability. Part I describes the normal mode instabilities most important in geophysical applications, including convection, shear instability and baroclinic instability. Classical analytical approaches are covered, while also emphasising numerical methods, mechanisms such as internal wave resonance, and simple `rules of thumb' that permit assessment of instability quickly and intuitively. Part II introduces the cutting edge: nonmodal instabilities, the relationship between instability and turbulence, self-organised criticality, and advanced numerical techniques. Featuring numerous exercises and projects, the book is ideal for advanced students and researchers wishing to understand flow instability and apply it to their own research. It can be used to teach courses in oceanography, atmospheric science, coastal engineering, applied mathematics and environmental science. Exercise solutions and MATLAB® examples are provided online. Also available as Open Access on Cambridge Core.

  • Appendix B - Projects

  • William D. Smyth, Oregon State University, Jeffrey R. Carpenter
  • Book:
    Instability in Geophysical Flows
    Published online:
    17 April 2019
    Print publication:
    11 April 2019, pp 307-316
    • Chapter
      • You have access
      • Open access
    • PDF
    • Export citation

  • 4 - Parallel Shear Flow: the Effects of Stratification

  • from Part I - Normal Mode Instabilities
  • William D. Smyth, Oregon State University, Jeffrey R. Carpenter
  • Book:
    Instability in Geophysical Flows
    Published online:
    17 April 2019
    Print publication:
    11 April 2019, pp 107-136
    • Chapter
      • You have access
      • Open access
    • PDF
    • Export citation

  • 6 - Synthesis: Viscous, Diffusive, Inhomogeneous, Parallel Shear Flow

  • from Part I - Normal Mode Instabilities
  • William D. Smyth, Oregon State University, Jeffrey R. Carpenter
  • Book:
    Instability in Geophysical Flows
    Published online:
    17 April 2019
    Print publication:
    11 April 2019, pp 153-173
    • Chapter
      • You have access
      • Open access
    • PDF
    • Export citation

  • 13 - Refining the Numerical Methods

  • from Part II - The View Ahead
  • William D. Smyth, Oregon State University, Jeffrey R. Carpenter
  • Book:
    Instability in Geophysical Flows
    Published online:
    17 April 2019
    Print publication:
    11 April 2019, pp 273-286
    • Chapter
      • You have access
      • Open access
    • PDF
    • Export citation

  • 10 - Summary

  • from Part I - Normal Mode Instabilities
  • William D. Smyth, Oregon State University, Jeffrey R. Carpenter
  • Book:
    Instability in Geophysical Flows
    Published online:
    17 April 2019
    Print publication:
    11 April 2019, pp 242-244
    • Chapter
      • You have access
      • Open access
    • PDF
    • Export citation

  • Preface

  • William D. Smyth, Oregon State University, Jeffrey R. Carpenter
  • Book:
    Instability in Geophysical Flows
    Published online:
    17 April 2019
    Print publication:
    11 April 2019, pp ix-x
    • Chapter
      • You have access
      • Open access
    • PDF
    • Export citation

  • 3 - Instabilities of a Parallel Shear Flow

  • from Part I - Normal Mode Instabilities
  • William D. Smyth, Oregon State University, Jeffrey R. Carpenter
  • Book:
    Instability in Geophysical Flows
    Published online:
    17 April 2019
    Print publication:
    11 April 2019, pp 53-106
    • Chapter
      • You have access
      • Open access
    • PDF
    • Export citation

  • Part II - The View Ahead

  • William D. Smyth, Oregon State University, Jeffrey R. Carpenter
  • Book:
    Instability in Geophysical Flows
    Published online:
    17 April 2019
    Print publication:
    11 April 2019, pp 245-246
    • Chapter
      • You have access
      • Open access
    • PDF
    • Export citation

  • References

  • William D. Smyth, Oregon State University, Jeffrey R. Carpenter
  • Book:
    Instability in Geophysical Flows
    Published online:
    17 April 2019
    Print publication:
    11 April 2019, pp 317-322
    • Chapter
      • You have access
      • Open access
    • PDF
    • Export citation

  • 7 - Nonparallel Flow: Instabilities of a Cylindrical Vortex

  • from Part I - Normal Mode Instabilities
  • William D. Smyth, Oregon State University, Jeffrey R. Carpenter
  • Book:
    Instability in Geophysical Flows
    Published online:
    17 April 2019
    Print publication:
    11 April 2019, pp 174-194
    • Chapter
      • You have access
      • Open access
    • PDF
    • Export citation

  • 8 - Instability in a Rotating Environment

  • from Part I - Normal Mode Instabilities
  • William D. Smyth, Oregon State University, Jeffrey R. Carpenter
  • Book:
    Instability in Geophysical Flows
    Published online:
    17 April 2019
    Print publication:
    11 April 2019, pp 195-221
    • Chapter
      • You have access
      • Open access
    • PDF
    • Export citation

  • 1 - Preliminaries

  • from Part I - Normal Mode Instabilities
  • William D. Smyth, Oregon State University, Jeffrey R. Carpenter
  • Book:
    Instability in Geophysical Flows
    Published online:
    17 April 2019
    Print publication:
    11 April 2019, pp 3-23
    • Chapter
      • You have access
      • Open access
    • PDF
    • Export citation

  • 12 - Instability and Turbulence

  • from Part II - The View Ahead
  • William D. Smyth, Oregon State University, Jeffrey R. Carpenter
  • Book:
    Instability in Geophysical Flows
    Published online:
    17 April 2019
    Print publication:
    11 April 2019, pp 262-272
    • Chapter
      • You have access
      • Open access
    • PDF
    • Export citation

  • Appendix A - Homework Exercises

  • William D. Smyth, Oregon State University, Jeffrey R. Carpenter
  • Book:
    Instability in Geophysical Flows
    Published online:
    17 April 2019
    Print publication:
    11 April 2019, pp 287-306
    • Chapter
      • You have access
      • Open access
    • PDF
    • Export citation

  • 9 - Convective Instability in Complex Fluids

  • from Part I - Normal Mode Instabilities
  • William D. Smyth, Oregon State University, Jeffrey R. Carpenter
  • Book:
    Instability in Geophysical Flows
    Published online:
    17 April 2019
    Print publication:
    11 April 2019, pp 222-241
    • Chapter
      • You have access
      • Open access
    • PDF
    • Export citation

  • Frontmatter

  • William D. Smyth, Oregon State University, Jeffrey R. Carpenter
  • Book:
    Instability in Geophysical Flows
    Published online:
    17 April 2019
    Print publication:
    11 April 2019, pp i-iv
    • Chapter
      • You have access
      • Open access
    • PDF
    • Export citation

  • Part I - Normal Mode Instabilities

  • William D. Smyth, Oregon State University, Jeffrey R. Carpenter
  • Book:
    Instability in Geophysical Flows
    Published online:
    17 April 2019
    Print publication:
    11 April 2019, pp 1-2
    • Chapter
      • You have access
      • Open access
    • PDF
    • Export citation

  • Contents

  • William D. Smyth, Oregon State University, Jeffrey R. Carpenter
  • Book:
    Instability in Geophysical Flows
    Published online:
    17 April 2019
    Print publication:
    11 April 2019, pp v-viii
    • Chapter
      • You have access
      • Open access
    • PDF
    • Export citation

Page 74 of 407