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 (M. Hatami) received his B.Sc. and M.Sc degrees in mechanical engineering from Ferdowsi University of Mashhad, Mashhad, Iran. He completed his PhD of energy conversion at Babol University of Technology, Babol, Iran while he was a Ph.D. visiting scholar researcher in Eindhoven University of Technology (TU/e) in the Netherlands. Also, he was a post-doctoral researcher of International Research Center for Renewable Energy, State Key Laboratory of Multiphase Flow in Power Engineering, Xi'an Jiaotong University, Xi'an, Shanxi 710049, P.R. China. Dr. Hatami was chosen as the best scientist in North Khorasan province (Iran) in the field of engineering and he published more than 100 ISI and Scientific-research papers in the field of combustion engines, renewable energies, heat recoveries, nanofluids, etc. Mohammad is also editor in chief of Quarterly Journal of Mechanical Engineering and Innovation in Technology (ISSN:2476-7336). (in Persian), and editors of International Journal of Mechanical Engineering (IJME), American Journal of Modeling and Optimization, American Journal of Mechanical Engineering and International Journal of Renewable and Sustainable Energy. More details of him can be found in: https://www.researchgate.net/profile/Mohammad_Hatami4/info
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 works at the Babol Noshirvani University of Technology's Department of Mechanical Engineering, Iran. His research interests include Computational Fluid Dynamics, nanofluid simulation, mesoscopic modeling of fluid, nonlinear science, magnetohydrodynamics, ferrohydrodynamics, and electrohydrodynamics. He authored several papers and books across various areas of mechanical engineering. He was selected as a Web of Science Highly Cited Researcher (Top 0.01%) in 2016 and 2017. He is also the author of the books Applications of Nanofluid for Heat Transfer Enhancement; Application of Semi-Analytical Methods for Nanofluid Flow and Heat Transfer; Hydrothermal Analysis in Engineering Using Control Volume Finite Element Method; and External Magnetic Field Effects on Hydrothermal Treatment of Nanofluid, all published by Elsevier.