rdf-syntax-grammar
mods:
  schema location: http://www.loc.gov/mods/v3 http://www.loc.gov/standards/mods/v3/mods-3-2.xsd
  title info:
    title: Modeling and analysis of modern fluid problems
  name:
    name part: Zheng, Liancun
    role:
      role term: creator
    role:
      role term: author.
  name:
    name part: Zhang, Xinxin
    role:
      role term: author.
  name:
    name part: ScienceDirect (Online service)
  type of resource: text
  genre: bibliography
  genre: Electronic books.
  origin info:
    place:
      place term: enk
    date issued: 2017
    issuance: monographic
  language:
    language term: eng
  physical description:
    form: remote
    extent: 1 online resource (xii, 467 pages) : illustrations
  abstract: Modeling and Analysis of Modern Fluids helps researchers solve physical problems observed in fluid dynamics and related fields, such as heat and mass transfer, boundary layer phenomena, and numerical heat transfer. These problems are characterized by nonlinearity and large system dimensionality, and 'exact' solutions are impossible to provide using the conventional mixture of theoretical and analytical analysis with purely numerical methods. To solve these complex problems, this work provides a toolkit of established and novel methods drawn from the literature across nonlinear approximation theory. It covers PadïÅ½ approximation theory, embedded-parameters perturbation, Adomian decomposition, homotopy analysis, modified differential transformation, fractal theory, fractional calculus, fractional differential equations, as well as classical numerical techniques for solving nonlinear partial differential equations. In addition, 3D modeling and analysis are also covered in-depth.
  table of contents: Front Cover ; Mathematics in Science and Engineering; Mathematics in Science and Engineering; Copyright; Contents; Preface; 1 -- Introduction; 1.1 BASIC IDEALS OF ANALYTICAL METHODS; 1.1.1 Analytical Methods; 1.1.1.1 Taylor Series; 1.1.1.2 Fourier Series; 1.1.2 Padé Approximation; 1.1.2.1 Weierstrass Approximation Theorem; 1.1.2.2 Definition of Padé Approximants; 1.1.2.3 Uniqueness Theorem of Padé Approximants; 1.1.2.4 Table of Padé Approximants; 1.2 REVIEW OF ANALYTICAL METHODS; 1.2.1 Perturbation Method; 1.2.1.1 Regular Perturbation and Singular Perturbation
  table of contents: 1.2.1.2 Asymptotic Matching Method1.2.1.3 Poincare-Lighthill-Kuo Method; 1.2.1.4 Average Method; 1.2.1.5 Multiple Scales Method; 1.2.2 Adomian Decomposition Method; 1.2.3 Homotopy Analysis Method; 1.2.4 Differential Transformation Method; 1.2.5 Variational Iteration Method and Homotopy Perturbation Method; 1.3 FRACTAL THEORY AND FRACTIONAL VISCOELASTIC FLUID; 1.3.1 The Concept of Fractals; 1.3.2 Fractional Order Calculus; 1.3.2.1 Definition of Fractional Order Derivatives; 1.3.3 Fractional Integral Transformations and Their Properties; 1.3.3.1 Fourier Transformation
  table of contents: 1.3.3.2 Laplace Transformation1.3.3.3 Mellin Transformation; 1.3.4 Fractional Viscoelastic Fluid; 1.4 NUMERICAL METHODS; 1.5 MODELING AND ANALYSIS FOR MODERN FLUID PROBLEMS; 1.6 OUTLINE; REFERENCES; 2 -- Embedding-Parameters Perturbation Method; 2.1 BASICS OF PERTURBATION THEORY; 2.1.1 Perturbation Theory; 2.1.2 Asymptotic Expansion of Solutions; 2.1.3 Regular Perturbation and Singular Perturbation; 2.2 EMBEDDING-PARAMETER PERTURBATION; 2.2.1 Approximate Solution to Blasius Flow; 2.2.2 Approximate Solutions to Sakidias Flow; 2.3 MARANGONI CONVECTION
  table of contents: 2.4 MARANGONI CONVECTION IN A POWER LAW NON-NEWTONIAN FLUID2.4.1 Marangoni Convection Caused by Temperature Gradient; 2.4.2 Mathematical Formulation; 2.4.3 Embedding-Parameters Perturbation Method Solutions; 2.4.4 Results and Discussion; 2.5 MARANGONI CONVECTION IN FINITE THICKNESS; 2.5.1 Background to the Problem; 2.5.2 Mathematical Model for Three Types of Conditions; 2.5.3 Embedding-Parameters Perturbation Method Solutions and Discussion; 2.5.3.1 Solutions for Cases I and II; 2.6 SUMMARY; REFERENCES; 3 -- Adomian Decomposition Method; 3.1 INTRODUCTION
  table of contents: 3.2 NONLINEAR BOUNDARY LAYER OF POWER LAW FLUID3.2.1 Physical Background; 3.2.2 Mathematical Formulation; 3.2.3 Similarity Transformation; 3.2.4 Crocco Variable Transformation; 3.2.5 Adomian Decomposition Method Solutions; 3.2.6 Results and Discussion; 3.2.6.1 Analysis of Velocity Field; 3.2.6.2 Analysis of Temperature Field; 3.3 POWER LAW MAGNETOHYDRODYNAMIC FLUID FLOW OVER A POWER LAW VELOCITY WALL; 3.3.1 Physical Background; 3.3.2 Basic Governing Equations; 3.3.3 Lie Group of Transformation; 3.3.4 Generalized Crocco Variables Transformation; 3.3.5 Adomian Decomposition Method Solutions
  note: Liancun Zheng, Xinxin Zhang.
  note: Includes bibliographical references and index.
  subject:
    topic: Fluid dynamics
    topic: Mathematical models
  subject:
    topic: Dynamique des fluides
    topic: Modèles mathématiques
  subject:
    topic: TECHNOLOGY & ENGINEERING
    topic: Hydraulics
  subject:
    topic: Fluid dynamics
    topic: Mathematical models
  classification: TA357 .Z44 2017
  classification: 532/.05
  related item:
    identifier: (OCoLC)964294022
  related item:
    title info:
      title: Mathematics in science and engineering
  identifier: 9780128117590
  identifier: 0128117591
  identifier: 0128117532
  identifier: 9780128117538
  identifier: 2016962972
  identifier: 9780128117590 Ingram Content Group
  identifier: http://proxy.library.tamu.edu/login
  record info:
    record content source: YDX
    record creation date: 170503
    record change date: 20260327151831.2
    record identifier: in00005761817
    language of cataloging:
      language term: eng