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.