Mathematical Modeling and Simulation of Complex Fluid Systems

This book explores modern fluid mechanics through mathematical modeling and advanced computational techniques, covering complex topics like compressible flows and fluid–structure interactions. It integrates computational techniques, multiscale modeling, and AI applications, with a focus on industry-specific challenges in energy, manufacturing, and environmental sciences. This book spans fundamental fluid mechanics to cutting-edge simulations of complex fluid systems, providing insights into a wide range of fluid behaviors in engineering, biological, environmental, and industrial contexts. It addresses key challenges such as non-Newtonian fluids, compressible flows, multiphase systems, and fluid–structure interactions. Contemporary research trends like AI driven optimization and sustainable energy solutions are also discussed.

Main Features:

• Covers basic principles to specialized topics such as compressible flows, multiphase systems, and fluid–structure interactions.
• Focuses on numerical methods, optimization, and computational fluid dynamics (CFD) tools to solve complex fluid dynamics problems.
• Discusses applications relevant to industries such as petroleum, manufacturing, and energy, including heat exchangers, porous media, and lubrication systems.
• Covers modern advancements like machine learning, AI optimization, and sustainable energy solutions.
• Applies fluid dynamics across biological, environmental, and industrial contexts, making the book relevant to engineers, environmental scientists, and healthcare professionals.

This book is a valuable resource for researchers, engineers, and students in fluid mechanics, computational fluid dynamics, and applied mathematics, providing both theoretical depth and practical solutions.

Dr. Satyvir Singh is a Research Associate Fellow in the Institute of Applied and Computational Mathematics at RWTH Aachen University, Germany. He earned his Ph.D. in Computational Fluid mechanics with thesis entitled ‘Development of 3D discontinuous Galerkin method for solving Boltzmann-type gas kinetic equations for diatomic and polyatomic gases’ in the School of Mechanical and Aerospace Engineering at Gyeongsang National University, South Korea. Subsequently, He worked as a Senior Research Fellow at Research Center for Aircraft Parts Technology, Gyeongsang National University, South Korea. After then, Dr. Singh worked as a Research Fellow in School of Physical and Mathematical Sciences at Nanyang Technological University Singapore. He completed Master Degree M. Tech. in Industrial Mathematics & Scientific Computing at Indian Institute of Technology Madras, India. He qualified two highly competitive Indian examinations – Junior Research Fellowship and National Eligibility Test in Mathematical Sciences with All Indian Rank # 38, and Graduate Aptitude Test for Engineering in Mathematics with All Indian Rank - 244. For his teaching background, He worked in India as Assistant Professor in Galgotias College of Engineering & Technology Greater Noida, and IMS Engineering College Ghaziabad, where he taught various Mathematics courses to undergraduate and post graduate students. Dr. Singh has a vast research area, including computational fluid dynamics, high-order numerical methods, hydrodynamic instability, gas kinetic theory, heat and mass transfer, and computational biology. His commitment to research is reflected in his more than 50 research articles (700+ citations) in reputable journals, including Physics of Fluids, J. Computational Physics, Computers & Fluids, Int. J. Heat and Mass Transfer, Physical Review Fluids, Applied Mathematics Computations, etc. Also, he has published one book. Besides it, he has attended many international conferences and presented his research work in USA, UK, Italy, South Korea, Singapore, Germany, Greece, China, Japan and India. As a Co-PI, Dr. Singh has received the research fund for the project “Mathematical Modelling and High-fidelity Simulations for Brain Tumor Dynamics” by the Deanship of Graduate Studies and Scientific Research Scheme, Jazan University, Saudi Arabia (2024). His Orcid is https://orcid.org/my-orcid?orcid=0000-0001-6669-5296, the Google Scholar web link is https://scholar.google.com/citations?user=sQT89LYAAAAJ&hl=en, and the Research Gate web page is https://www.researchgate.net/profile/Satyvir-Singh.

Dr. Mukesh Kumar Awasthi did his PhD on the topic “Viscous Correction for the Potential Flow Analysis of Capillary and Kelvin-Helmholtz instability”. He is an Assistant Professor in the Department of Mathematics at Babasaheb Bhimrao Ambedkar University, Lucknow. Dr. Awasthi is specialized in the mathematical modeling of flow problems. He has taught courses of Fluid Mechanics, Discrete Mathematics, Partial differential equations, Abstract Algebra, Mathematical Methods, and Measure theory to postgraduate students. He has acquired excellent knowledge in the mathematical modeling of flow problems and he can solve these problems analytically as well as numerically. He has a good grasp of the subjects like viscous potential flow, electro-hydrodynamics, magneto-hydrodynamics, heat, and mass transfer. He has excellent communication skills and leadership qualities. He is self-motivated and responds to suggestions in a more convincing manner. Dr. Awasthi has qualified National Eligibility Test (NET) conducted on all India level in the year 2008 by the Council of Scientific and Industrial Research (CSIR) and got Junior Research Fellowship (JRF) and Senior Research Fellowship (SRF) for doing research. He has published over 150 research publications (journal articles/books/book chapters/conference articles) in Elsevier, Taylor & Francis, Springer, Emerald, World Scientific, and many other national and international journals and conferences. Also, he has published 22 books. He is also a series editor of Artificial Intelligence and Machine Learning for Intelligent Engineering Systems published by CRC Press (Taylor & Francis USA. He has attended many symposia, workshops, and conferences in mathematics as well as fluid mechanics. He has got the “Research Awards” consecutively four times from 2013-2016 by the University of Petroleum and Energy Studies, Dehradun, India. He has also received the start-up research fund for his project “Nonlinear study of the interface in multilayer fluid system” from UGC, New Delhi. He is also listed among the top 2% of influential researchers in the world, as prepared by Stanford University based on Scopus data for the years 2022, 2023 and 2024. His Orcid is 0000-0002-6706-5226, Google Scholar web link is https://scholar.google.co.in/citations?user=Dj3ktGAAAAAJ and research gate web link ishttps://www.researchgate.net/profile/Mukesh-Awasthi-2.