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3653 results in ebooks in fluid mechanics

Page 20 of 183

  • 2 - Temporal Stability of Inviscid Incompressible Flows

  • W. O. Criminale, University of Washington, T. L. Jackson, University of Florida, R. D. Joslin
  • Book:
    Theory and Computation in Hydrodynamic Stability
    Published online:
    22 November 2018
    Print publication:
    06 December 2018, pp 26-75

  • Summary

    Chapter 2 is devoted to the temporal stability of incompressible flows. The equations of motion are linearized, and the Rayleigh and Orr–Sommerfeld equations are derived using normal mode analysis. Kelvin–Helmhotlz theory is then introduced for invisicd flows, followed by a number of important theorems related to invisicd flows such as Rayleigh’s Inflection Point Theorem, Fjotroft’s Thoerem and Howard’s Semicircle Theorem, all of which are discussed in detail. The chapter concludes with the stability of the laminar mixing layer.

Theory and Computation in Hydrodynamic Stability
  • 2nd edition
  • W. O. Criminale, T. L. Jackson, R. D. Joslin
  • Published online:
    22 November 2018
    Print publication:
    06 December 2018
  • The study of hydrodynamic stability is fundamental to many subjects, ranging from geophysics and meteorology through to engineering design. This treatise covers both classical and modern aspects of the subject, systematically developing it from the simplest physical problems, then progressing to the most complex, considering linear and nonlinear situations, and analyzing temporal and spatial stability. The authors examine each problem both analytically and numerically. Many relevant fluid flows are treated, including those where the fluid may be compressible, or those from geophysics, or those that require salient geometries for description. Details of initial-value problems are explored equally with those of stability. The text includes copious illustrations and an extensive bibliography, making it suitable for courses on hydrodynamic stability or as an authoritative reference for researchers. In this second edition the opportunity has been taken to update the text and, most importantly, provide solutions to the numerous extended exercises.

Page 20 of 183