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 Sch