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8133 results in Fluid dynamics and solid mechanics

Page 11 of 407

  • SPECTRAL CLUSTERING AND LONG TIMESERIES CLASSIFICATION

  • Part of
  • NADEZDA SUKHORUKOVA, JAMES WILLARD-TURTON, GEORGINA GARWOLI, CLAIRE MORGAN, ALINA ROKEY
  • Journal:
    The ANZIAM Journal / Volume 66 / Issue 2 / April 2024
    Published online by Cambridge University Press:
    18 September 2024, pp. 121-131
    • Article
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      • Open access
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  • Clustering is a method of allocating data points in various groups, known as clusters, based on similarity. The notion of expressing similarity mathematically and then maximizing it (minimize dissimilarity) can be formulated as an optimization problem. Spectral clustering is an example of such an approach to clustering, and it has been successfully applied to visualization of clustering and mapping of points into clusters in two and three dimensions. Higher dimension problems remained untouched due to complexity and, most importantly, lack of understanding what “similarity” means in higher dimensions. In this paper, we apply spectral clustering to long timeseries EEG (electroencephalogram) data. We developed several models, based on different similarity functions and different approaches for spectral clustering itself. The results of the numerical experiment demonstrate that the created models are accurate and can be used for timeseries classification.

  • CAPILLARY LEVELLING OF THIN LIQUID FILMS OF POWER-LAW RHEOLOGY

  • Part of
  • MICHAEL C. DALLASTON
  • Journal:
    The ANZIAM Journal / Volume 66 / Issue 1 / January 2024
    Published online by Cambridge University Press:
    16 September 2024, pp. 62-76
    • Article
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      • Open access
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  • We find solutions that describe the levelling of a thin fluid film, comprising a non-Newtonian power-law fluid, that coats a substrate and evolves under the influence of surface tension. We consider the evolution from periodic and localized initial conditions as separate cases. The particular (similarity) solutions in each of these two cases exhibit the generic property that the profiles are weakly singular (that is, higher-order derivatives do not exist) at points where the pressure gradient vanishes. Numerical simulations of the thin film equation, with either periodic or localized initial condition, are shown to approach the appropriate particular solution.

Hydrodynamic Instabilities and Turbulence
  • Rayleigh–Taylor, Richtmyer–Meshkov, and Kelvin–Helmholtz Mixing
  • Ye Zhou
  • Published online:
    27 June 2024
    Print publication:
    19 December 2024
  • Turbulent mixing induced by hydrodynamic instabilities is found in many high- and low- energy-density regimes, ranging from supernovae to inertial confinement fusion to scramjet engines. While these applications have long been recognized, unprecedented advances in both computational and experimental tools have provided novel, critical insights to the field. Incorporating the most recent theoretical, computational, and experimental results, this title provides a comprehensive yet accessible description of turbulent mixing driven by Rayleigh–Taylor, Richtmyer–Meshkov, and Kelvin–Helmholtz instabilities. An overview of core concepts and equations is provided, followed by detailed descriptions of complex and turbulent flows. The influences of stabilizing mechanisms, rotations, magnetic fields, and time-dependent accelerations on the evolution of hydrodynamic instabilities are explained. This book is ideal for advanced undergraduates as well as graduates beginning research in this exciting field, while also functioning as an authoritative reference volume for researchers in the wide range of disciplines for which it has applications.

  • 5 - Introduction to Continuum Thermodynamics

  • Kari Santaoja, Aalto University, Finland, J. N. Reddy, Texas A & M University
  • Book:
    Continuum Thermodynamics and Material Modelling
    Published online:
    25 October 2024
    Print publication:
    13 June 2024, pp 191-212

  • Summary

    This concise and rigorous textbook introduces students to the subject of continuum thermodynamics, providing a complete treatment of the subject with practical applications to material modelling.

    • Presents mathematical prerequisites and the foundations of continuum mechanics, taking the student step-by-step through the subject to allow full understanding of the theory.

    • Introduces more advanced topics such as theories for the investigation of material models, showing how they relate to real-world practical applications.

    • Numerous examples and illustrations, alongside end-of-chapter problems with helpful hints, help describe complex concepts and mathematical derivations.

    This is the ideal, accessible introduction to continuum thermodynamics for senior undergraduate and graduate students in mechanical, aeronautical and civil engineering.

  • 9 - Material Models for Creep

  • Kari Santaoja, Aalto University, Finland, J. N. Reddy, Texas A & M University
  • Book:
    Continuum Thermodynamics and Material Modelling
    Published online:
    25 October 2024
    Print publication:
    13 June 2024, pp 343-374

  • Summary

    This concise and rigorous textbook introduces students to the subject of continuum thermodynamics, providing a complete treatment of the subject with practical applications to material modelling.

    • Presents mathematical prerequisites and the foundations of continuum mechanics, taking the student step-by-step through the subject to allow full understanding of the theory.

    • Introduces more advanced topics such as theories for the investigation of material models, showing how they relate to real-world practical applications.

    • Numerous examples and illustrations, alongside end-of-chapter problems with helpful hints, help describe complex concepts and mathematical derivations.

    This is the ideal, accessible introduction to continuum thermodynamics for senior undergraduate and graduate students in mechanical, aeronautical and civil engineering.

  • 8 - Material Models for Heat Conduction and Time-Independent Deformation

  • Kari Santaoja, Aalto University, Finland, J. N. Reddy, Texas A & M University
  • Book:
    Continuum Thermodynamics and Material Modelling
    Published online:
    25 October 2024
    Print publication:
    13 June 2024, pp 311-342

  • Summary

    This concise and rigorous textbook introduces students to the subject of continuum thermodynamics, providing a complete treatment of the subject with practical applications to material modelling.

    • Presents mathematical prerequisites and the foundations of continuum mechanics, taking the student step-by-step through the subject to allow full understanding of the theory.

    • Introduces more advanced topics such as theories for the investigation of material models, showing how they relate to real-world practical applications.

    • Numerous examples and illustrations, alongside end-of-chapter problems with helpful hints, help describe complex concepts and mathematical derivations.

    This is the ideal, accessible introduction to continuum thermodynamics for senior undergraduate and graduate students in mechanical, aeronautical and civil engineering.

  • 11 - Introduction to Material Models in Fluid Mechanics

  • Kari Santaoja, Aalto University, Finland, J. N. Reddy, Texas A & M University
  • Book:
    Continuum Thermodynamics and Material Modelling
    Published online:
    25 October 2024
    Print publication:
    13 June 2024, pp 437-446

  • Summary

    This concise and rigorous textbook introduces students to the subject of continuum thermodynamics, providing a complete treatment of the subject with practical applications to material modelling.

    • Presents mathematical prerequisites and the foundations of continuum mechanics, taking the student step-by-step through the subject to allow full understanding of the theory.

    • Introduces more advanced topics such as theories for the investigation of material models, showing how they relate to real-world practical applications.

    • Numerous examples and illustrations, alongside end-of-chapter problems with helpful hints, help describe complex concepts and mathematical derivations.

    This is the ideal, accessible introduction to continuum thermodynamics for senior undergraduate and graduate students in mechanical, aeronautical and civil engineering.

  • 6 - Axioms of Thermodynamics and Their Consequences

  • Kari Santaoja, Aalto University, Finland, J. N. Reddy, Texas A & M University
  • Book:
    Continuum Thermodynamics and Material Modelling
    Published online:
    25 October 2024
    Print publication:
    13 June 2024, pp 213-276

  • Summary

    This concise and rigorous textbook introduces students to the subject of continuum thermodynamics, providing a complete treatment of the subject with practical applications to material modelling.

    • Presents mathematical prerequisites and the foundations of continuum mechanics, taking the student step-by-step through the subject to allow full understanding of the theory.

    • Introduces more advanced topics such as theories for the investigation of material models, showing how they relate to real-world practical applications.

    • Numerous examples and illustrations, alongside end-of-chapter problems with helpful hints, help describe complex concepts and mathematical derivations.

    This is the ideal, accessible introduction to continuum thermodynamics for senior undergraduate and graduate students in mechanical, aeronautical and civil engineering.

  • 7 - Special Cases of Continuum Thermodynamics and Validation of Material Models

  • Kari Santaoja, Aalto University, Finland, J. N. Reddy, Texas A & M University
  • Book:
    Continuum Thermodynamics and Material Modelling
    Published online:
    25 October 2024
    Print publication:
    13 June 2024, pp 277-310

  • Summary

    This concise and rigorous textbook introduces students to the subject of continuum thermodynamics, providing a complete treatment of the subject with practical applications to material modelling.

    • Presents mathematical prerequisites and the foundations of continuum mechanics, taking the student step-by-step through the subject to allow full understanding of the theory.

    • Introduces more advanced topics such as theories for the investigation of material models, showing how they relate to real-world practical applications.

    • Numerous examples and illustrations, alongside end-of-chapter problems with helpful hints, help describe complex concepts and mathematical derivations.

    This is the ideal, accessible introduction to continuum thermodynamics for senior undergraduate and graduate students in mechanical, aeronautical and civil engineering.

  • 1 - Introduction

  • Kari Santaoja, Aalto University, Finland, J. N. Reddy, Texas A & M University
  • Book:
    Continuum Thermodynamics and Material Modelling
    Published online:
    25 October 2024
    Print publication:
    13 June 2024, pp 1-14

  • Summary

    This concise and rigorous textbook introduces students to the subject of continuum thermodynamics, providing a complete treatment of the subject with practical applications to material modelling.

    • Presents mathematical prerequisites and the foundations of continuum mechanics, taking the student step-by-step through the subject to allow full understanding of the theory.

    • Introduces more advanced topics such as theories for the investigation of material models, showing how they relate to real-world practical applications.

    • Numerous examples and illustrations, alongside end-of-chapter problems with helpful hints, help describe complex concepts and mathematical derivations.

    This is the ideal, accessible introduction to continuum thermodynamics for senior undergraduate and graduate students in mechanical, aeronautical and civil engineering.

Page 11 of 407