The text provides insight into the different mathematical tools and techniques that can be applied to the analysis and numerical computations of flow models.

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 specialized in the mathematical modeling of flow problems. He has taught courses such as Fluid Mechanics, Discrete Mathematics, Partial differential equations, Abstract Algebra, Mathematical Methods, and Measure theory to postgraduate students. He has 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 subjects such as viscous potential flow, electro-hydrodynamics, magneto-hydrodynamics, heat, and mass transfer. He has excellent communication skills and leadership qualities. Dr. Awasthi has qualified for the National Eligibility Test (NET) conducted on all India levels in 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 115 plus 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 eight books. He has attended many symposia, workshops, and conferences in mathematics as well as fluid mechanics. He has won the Research Awards four times consecutively from 2013–2016 from 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. Recently in 2023 Dr. Awasthi name has been included in the world’s top 2% researcher/ scientist list jointly issued by Stanford University USA and Scopus Database.

Dr. Ashwani Kumar earned a PhD in Mechanical Engineering in the area of Mechanical Vibration and Design. He is currently a Senior Lecturer, Mechanical Engineering (Gazetted Officer Group B) at the Technical Education Department Uttar Pradesh (under Government of Uttar Pradesh) Kanpur, India since December 2013. He was an Assistant Professor in Department of Mechanical Engineering, Graphic Era University Dehradun India (NIRF Ranking 55) from July 2010 to November 2013. He has more than 13 years of research, academic, and administrative experience including Coordinator for AICTE-Extension of Approval, Nodal officer for PMKVY-TI Scheme (Government of India), internal coordinator-CDTP scheme (Government of Uttar Pradesh), Industry Academia relation officer, Assistant Centre Superintendent (ACS)-Institute Examination Cell, Zonal Officer to conduct Joint Entrance Examination (JEE-Diploma), Sector Magistrate for Lok Sabha-Vidhan Sabha Election, among others. He is Series Editor of four book series (1) Advances in Manufacturing, Design and Computational Intelligence Techniques, (2) Renewable and Sustainable Energy Developments, (3) Smart Innovations and Technological Advancements in Mechanical and Materials Engineering, and (4) Computational Intelligence and Biomedical Engineering. He is guest editor of a special issue titled Sustainable Buildings, Resilient Cities and Infrastructure Systems (Buildings ISSN: 2075-5309, I.F. 3.8). He is Editor-in- Chief for International Journal of Materials, Manufacturing and Sustainable Technologies (IJMMST, ISSN: 2583-6625), and Editor of International Journal of Energy Resources Applications (IJERA, ISSN: 2583-6617). He is guest editor and editorial board member of eight international journals and acts as review board member of 20 prestigious (Indexed in SCI/SCIE/Scopus) international journals with high impact factor, i.e. Applied Acoustics, Measurement, JESTEC, AJSE, SV-JME, and LAJSS. In addition, he has published 100+ research articles in journals, book chapters, and conferences. He has authored/co-authored cum edited 30+ books on mechanical, materials, and energy engineering. He has published two patents. He is associated with International Conferences as Invited Speaker/Session Chair/Advisory Board/Review Board Member/Program Committee Member. He has delivered many invited talks in webinar, FDP, and Workshops. He has been awarded Best Teacher for excellence in academic and research. He has successfully guided 15 BTech, MTech, and PhD theses. He is an external doctoral committee member of S.R.M. University, New Delhi. He is currently involved in the research areas of AI & ML in Mechanical Engineering, Smart Materials & Manufacturing Techniques, Thermal Energy Storage, Building Efficiency, Renewable Energy Harvesting, Sustainable Transportation and Heavy Vehicle Dynamics. His Orcid is 0000-0003- 4099- 935X, Google Scholar web link is https://scholar. google.com/citations?hl=en&user=KOILpEkAAAAJ and research gate web link is https://www.researchgate.net/profile/Ashwani-Kumar-45.

Dr. Nitesh Dutt is Head of Department and Associate Professor in the Department of Mechanical Engineering, COER University Roorkee, Uttarakhand, India. He has more than seven years of teaching experience. He has a bachelor’s degree in Mechanical Engineering, and Masters and PhD from IIT Roorkee. He has published more than 11 research articles in international journals and conferences. His main areas of research are Renewable Energy, Green Energy Harvesting, Nuclear Engineering, Heat and Mass Transfer, Thermodynamics, Fluid Mechanics, Refrigeration, and Air Conditioning, Computational Fluid Dynamics (CFD).

Dr. Satyvir Singh is a postdoc research associate in Applied and Computational Mathematics at RWTH Aachen University, Germany. Prior to that, he worked as a Research Fellow in Nanyang Technological University, Singapore. He completed his PhD in the School of Mechanical and Aerospace Engineering from Gyeongsang National University, South Korea. He earned his MTech in the Department of Mathematics from IIT Madras, India. Dr. Singh has a vast area of research that includes computational Fluid dynamics, high-order numerical methods, multi-component flows, kinetic theory of gases and quantum physics, and computational biology. He has qualified for the CSIR-NET- JRF exam with A.I.R.-38. He has published 30 plus research publications (journal articles/book chapters/conference articles) in Elsevier, AIP, APS, Springer, and many other international journals. He has also attended many international conferences and presented his research work in the USA, the UK, South Korea, Singapore, Germany, China, Japan, and India.