Differential Transformation Method for Mechanical Engineering Problems

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

Mohammad Hatami is a Mechanical Engineering Associate Professor at Esfarayen University of Technology, Esfarayen, North Khorasan, Iran. He also was an associate professor at Ferdowsi University of Mashhad, and was selected as a young talent associate professor at Xi'an Jiaotong University. He completed his Ph.D. in energy conversion at Babol University of Technology whilst working as a Ph.D. visiting scholar researcher at Eindhoven University of Technology (TU/e) in the Netherlands. Dr. Hatami was previously a post-doctoral researcher at the State Key Laboratory of Multiphase Flow in Power Engineering, Xi'an Jiaotong University, in China. He has published more than 200 research papers and 10 books/chapter books in the field of experimental, mathematical and numerical modelling of nanofluids, heat recovery and acts as editor-in-chief of the Quarterly Journal of Mechanical Engineering and Innovation in Technology, Associate Editor of Fluid Dynamic & Material Processing, and an Editor for the International Journal of Mechanical Engineering (IJME), American Journal of Modelling and Optimization, and American Journal of Mechanical Engineering.

D. D. Ganji is a Professor of Mechanical Engineering and the Director of the Graduate Program at Babol Noshirvani University of Technology in Iran, as well as a consultant in nonlinear dynamics and the Dean of the National Elite Foundation of Iran. He has a Ph.D. in Mechanical Engineering from Tarbiat Modarres University. He is the Editor-in-Chief of International Journal of Nonlinear Dynamic and Engineering Science, and Editor of International Journal of Nonlinear Sciences and Numerical Simulation and International Journal of Differential Equations.

Dr. Mohsen Sheikholeslami is the Head of the Renewable Energy Systems and Nanofluid Applications in Heat Transfer Laboratory at the Babol Noshirvani University of Technology, in Iran. He was the first scientist to develop a novel numerical method (CVFEM) in the field of heat transfer and published a book based on this work, entitled "Application of Control Volume Based Finite Element Method (CVFEM) for Nanofluid Flow and Heat Transfer". He was selected as a Web of Science Highly Cited Researcher (Top 0.01%) by Clarivate Analytics, and he was ranked first in the field of mechanical engineering and transport globally (2020-2021) according to data published by Elsevier. Dr. Sheikholeslami has authored a number of books and is a member of the Editorial Boards of the ‘International Journal of Heat and Technology’ and ‘Recent Patents on Nanotechnology’.