عنوان

Modeling and analysis of modern fluid problems /

شابک

0128117591

شابک

9780128117590

شابک اشتباه

0128117532

شابک اشتباه

9780128117538

عنوان اصلي

Modeling and analysis of modern fluid problems /

نام عام مواد

[Book]

نام نخستين پديدآور

Liancun Zheng, Xinxin Zhang.

محل نشرو پخش و غیره

San Diego, CA :

نام ناشر، پخش کننده و غيره

Academic Press is an imprint of Elsevier,

تاریخ نشرو بخش و غیره

[2017]

نام خاص و کميت اثر

1 online resource (xii, 467 pages) :

ساير جزييات

illustrations

عنوان فروست

Mathematics in science and engineering

متن يادداشت

Includes bibliographical references and index.

متن يادداشت

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

متن يادداشت

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

متن يادداشت

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

متن يادداشت

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

متن يادداشت

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

بدون عنوان

0

بدون عنوان

8

بدون عنوان

8

بدون عنوان

8

بدون عنوان

8

متن يادداشت

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 PadïŽ 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.

منبع سفارش / آدرس اشتراک

Ingram Content Group

شماره انبار

9780128117590

شماره استاندارد بين المللي کتاب و موسيقي

9780128117538

موضوع مستند نشده

Fluid dynamics-- Mathematical models.

موضوع مستند نشده

Fluid dynamics-- Mathematical models.

موضوع مستند نشده

TECHNOLOGY & ENGINEERING-- Hydraulics.

موضوع مستند نشده

TEC-- 014000

شماره

ويراست

شماره رده

نشانه اثر

مستند نام اشخاص تاييد نشده

Zheng, Liancun

مستند نام اشخاص تاييد نشده

Zhang, Xinxin

تاريخ عمليات

20200822084940.0

قواعد فهرست نويسي ( بخش توصيفي )

pn

نام الکترونيکي

نوع ماده

[Book]

تكميل شده

Y