Differential Transformation Method for Mechanical Engineering Problems

Mohammad Hatami, Davood Domairry Ganji, Mohsen Sheikholeslami

• Publisher: Academic Press
• Year: 2016
• Print ISBN: 9780128051900
• eBook ISBN: 9780128053409
• Topic: Computer Science
• Subtopic: Computer Engineering
• Index: Computer Science

Differential Transformation Method for Mechanical Engineering Problems focuses on applying DTM to a range of mechanical engineering applications. The authors modify traditional DTM to produce two additional methods, multi-step differential transformation method (Ms-DTM) and the hybrid differential transformation method and finite difference method (Hybrid DTM-FDM). It is then demonstrated how these can be a suitable series solution for engineering and physical problems, such as the motion of a spherical particle, nanofluid flow and heat transfer, and micropolar fluid flow and heat transfer. - Presents the differential transformation method and why it holds an advantage over higher-order Taylor series methods - Includes a full mathematical introduction to DTM, Ms-DTM, and Hybrid DTM - Covers the use of these methods for solving a range of problems in areas such as nanofluid flow, heat transfer, and motion of a spherical particle in different conditions - Provides numerous examples and exercises which will help the reader fully grasp the practical applications of these new methods

Table of contents

• Cover image
• Title page
• Table of Contents
• Copyright
• Dedication
• Preface
• Chapter 1. Introduction to Differential Transformation Method
• Chapter 2. Differential Transformation Method in Advance
• Chapter 3. DTM for Heat Transfer Problems
• Chapter 4. DTM for Fluids Flow Analysis
• Chapter 5. DTM for Nanofluids and Nanostructures Modeling
• Chapter 6. DTM for Magnetohydrodynamic (MHD) and Porous Medium Flows
• Chapter 7. DTM for Particles Motion, Sedimentation, and Combustion
• Chapter 8. DTM for Solid Mechanics, Vibration, and Deflection
• Index