Differential Transformation Method for Mechanical Engineering Problems [Paperback]

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

1. Introduction to Differential Transformation Method 2. Differential Transformation Method in Advance 3. DTM for Heat Transfer Problems 4. DTM for Fluids Flow Analysis 5. DTM for Nanofluids and Nanostructures Modeling 6. DTM for Magnetohydrodynamic (MHD) and Porous Medium Flows 7. DTM for Particles Motion, Sedimentation, and Combustion 8. DTM for Solid Mechanics, Vibration, and Deflection

Presents innovative computational methods that researchers can use to tackle mechanical problems involving nanofluids, heat transfer and spherical particle movement