Mathematical Modeling, Design, and Optimization of Complex Engineering Systems

The text provides a solid foundation in mathematical, modeling, and optimization techniques ensuring that readers develop a deep understanding of the core concepts before delving into more complex topics. It discusses analytical techniques used to solve structural performance, potential flow analysis, fluid flow control in MEMS, two-fluid nonlinear model, and unsteady blood flow. Features: - Discusses fundamental equations and governing principles of heat transfer and fluid dynamics. - Covers topics such as analytical methods, numerical techniques, turbulence modeling, multiphase flow dynamics, circular economy, industry 4.0, food security, different inventory models, and transportation problems. - Presents detailed exploration of various computational methods including finite difference, finite element, and spectral element methods. - Addresses the integrated approach needed for solving complex problems involving heat and fluid flow for a wide range of applications, including industrial, agricultural and environmental systems. - Showcases how to use powerful computer tools and mathematical methods to analyze and improve real-world systems, such as building performance, materials property enhancement, wastewater treatment, genetically modified crops, and climate models. It is primarily written for senior undergraduates, graduate students, and academic researchers in manufacturing engineering, industrial engineering, engineering mathematics, mathematics, production engineering, industrial engineering, and environmental engineering.

Mukesh Kumar Awasthi has done his Ph.D. on the topic "Viscous Correction for the Potential Flow Analysis of Capillary and Kelvin-Helmholtz instability". He is working as 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 125 plus research publications (journal articles/books/book chapters/conference articles) in many national and international books, journals and conferences. Also, he has published 10 books. 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 in the top 2% influential researchers in the World prepared by Stanford University based on Scopus data in 2022. His Orcid is 0000-0002-6706-5226, Google Scholar web link is https://scholar.google.co.in/citations?user=Dj3ktGAAAAAJand research gate web link ishttps://www.researchgate.net/profile/Mukesh-Awasthi-2. Ashwani Kumar holds a Ph.D. in Mechanical Engineering with a diverse and impressive career spanning over 15 years. He currently holds the position of Professor & Head of Department Mechanical Engineering (Gazetted Officer Class 1) at the Technical Education Department Uttar Pradesh (Government of Uttar Pradesh) in Kanpur, India. Prior to his current role, Dr. Kumar served as Senior Lecturer & Lecturer in same organization and Assistant Professor in the Department of Mechanical Engineering at Graphic Era University, Dehradun (ranked 52th by NIRF India) from July 2010 to November 2013. Beyond his academic contributions, Dr. Kumar possesses extensive leadership and administrative experience. He has held numerous key positions within the education sector, 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 for Joint Entrance Examination (JEE-Diploma), and Sector Magistrate for State Assembly and General Elections. Dr. Kumar is a passionate researcher and a prominent figure in the field of academic publishing. His dedication to knowledge dissemination is evident in his role as Series Editor for eight distinguished book series published by reputed publishers. These series encompass a wide range of topics, titled as: Advances in Manufacturing, Design and Computational Intelligence Techniques / Renewable and Sustainable Energy Developments / Smart Innovations and Technological Advancements in Mechanical and Materials Engineering / Solar Thermal Energy Systems: Advancements in Engineering, Ergonomics, and Sustainable Development / Artificial Intelligence and Machine Learning for Intelligent Engineering Systems / Computational Intelligence and Biomedical Engineering/ Advances in Green Technologies for Sustainable Energy Solutions/ Advances in Materials, Manufacturing and Computational Intelligence Techniques. Dr. Kumar's editorial expertise extends beyond book series. He serves as Editor-in-Chief for the International Journal of Materials, Manufacturing and Sustainable Technologies (IJMMST, ISSN: 2583-6625), and Editor of the International Journal of Energy Resources Applications (IJERA, ISSN: 2583-6617). He has also been a guest editor for a special issue of Buildings titled as Sustainable Buildings, Resilient Cities and Infrastructure Systems (ISSN: 2075-5309, I.F. 3.1) and holds editorial board positions on eight international journals and acts as review board member of 20 prestigious (Indexed in SCI/SCIE/Scopus) international journals with high impact factor. Dr. Kumar's dedication to scholarship is further demonstrated by his prolific authorship of over 200+ articles in prestigious journals, book chapters, and conference proceedings. Additionally, he has co-authored or edited over 40+ books in Mechanical Engineering, Materials Science, and Renewable Energy Engineering. Dr. Kumar's achievements have been recognized with prestigious awards, including a Best Teacher award for excellence in academics and research. He has also successfully guided 15 students through their B.Tech., M.Tech, and Ph.D. theses and currently serves as an external doctoral committee member at S.R.M. University, New Delhi. Dr. Kumar is actively involved in cutting-edge research, focusing on areas such as Artificial Intelligence and Machine Learning in Mechanical Engineering, Smart Materials and Manufacturing Techniques, Thermal Energy Storage, Building Efficiency, Renewable Energy Harvesting, Sustainable Transportation, and Heavy Vehicle Dynamics. He holds four patents and frequently participates in international conferences as an invited speaker, session chair, and member of advisory boards, review boards, and program committees. Dr. Kumar's ORCID ID is 0000-0003-4099-935X and Google Scholar link: https://scholar.google.com/citations?hl=en&user=KOILpEkAAAAJ. Manoj Gupta is a distinguished materials scientist and engineer with a remarkable track record of innovation and academic leadership. Formerly the Head of the Materials Division within the Mechanical Engineering Department and the Director designate of the Materials Science and Engineering Initiative at the National University of Singapore (NUS), his contributions have significantly advanced the field. Dr. Gupta earned his Ph.D. from the University of California, Irvine, USA in 1992, followed by postdoctoral research at the University of Alberta, Canada, also in 1992. His exceptional research impact is consistently recognized globally. He is ranked among the top 0.6% of researchers worldwide according to Stanford's list, within the top 1% of scientists globally by The Universal Scientific Education and Research Network (achieving this recognition as early as August 2017), and within the top 2.5% of scientists as per ResearchGate metrics. His innovative spirit is evident in the development of two significant materials processing techniques. Dr. Gupta's extensive scholarly output includes over 600 peer-reviewed journal publications, demonstrating his significant contributions to scientific literature. He also holds two US patents and one Trade Secret, highlighting the practical and industrial relevance of his research. His current academic influence is underscored by an h-index of 90, i10 index 471 and over 30,000 citations. Furthermore, he has co-authored eight influential books published by leading academic publishers, further disseminating his expertise. Beyond his research and publications, Dr. Gupta is actively engaged with the global scientific community, serving as Editor-in-chief or Editor for twelve international peer-reviewed journals. A recipient of numerous awards, he fosters international collaborations through active visits and engagements as a visiting researcher, professor, and chair professor in countries including Japan, France, Saudi Arabia, Qatar, China, USA, and India. His Google scholar web link is https://scholar.google.com.sg/citations?user=PGzgTLoAAAAJ&hl=en.

1. Mathematical Modeling and Optimization Techniques: Applications in Engineering, Economics and Data Science. 2. The Future of Artificial Intelligence: Innovations, Challenges, and Ethical Considerations toward 2030 and Beyond. 3. Finite Element Analysis for Structural Performance of Flat Slabs with Column-Adjacent Openings of Varying Shapes. 4. Finite Element Analysis of Sisal Fiber and Human Hair Composites: A Review. 5. Green Synthesis of Gold Nanoparticles and Their Applications: A Comprehensive Review. 6. Potential Flow Analysis of Rayleigh-Taylor Instability in Nanofluid Layer. 7. Materials Integration of Pressure Sensor Mechanism for Fluid Flow Control in MEMS Microfluidic Device Application: A Review. 8. Mathematical and Computational Analysis of a Two-Fluid Nonlinear Model for Pulsatile Blood Flow in a Stenosed Artery. 9. Numerical Simulation of Unsteady Blood Flow in a Multi-Stenosed Artery. 10. Exploring the Compatibility of Just-in-Time with Circular Economy Principles. 11. Modelling and Simulation of System for Power Factor Enhancement in Commercial Utilities. 12. Feasibility Study on the Implementation of Industry 4.0 Based MHS for Pipe Manufacturing Industry. 13. Fixed-Bed Column Studies for Removal of Contaminants from Synthetic Wastewater. 14. Mapping the Research Landscape of Genetically Modified Crops and Food Security: A Bibliometric Perspective. 15. Characteristic Comparative Study of Metallic Toxicants by Using Thin Layer Chromatography and Atomic Adsorption Technique. 16. An EPQ Inventory Model with Fuzzy Deterioration Rate and Finite Production Rate. 17. A Periodic Review Inventory Model with Emergency Order Using Weibull Distribution for Demand Items Under Bayesian Approach. 18. Finding an Optimal Solution and Optimal Cost Percentage to a Road Green Freight Transportation Problem. 19. Enhanced Solution of Transportation Problems with Russell's Approximation Method Under the Fuzzy Environment. 20. A Study of Digitalization on Impulsive Buying Behavior of Consumers with Special Reference to Madhya Pradesh. 21. A Novel Design of Piezometric Energy Harvester for Bicycle. 22. Designing Optimization Frameworks for ICT-Enabled e-Leadership Strategies. 23. Models for Analyzing the Impact of Leadership and Followership Values on Organizational Outcomes.