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This monograph contains a collection of integrals, some more challenging than others, with their worked-out solutions as indefinite integrals. The integrals were randomly selected, modified, or designed with the condition of having closed forms solutions with common functions. This list is meant for helping readers in practicing and getting hints for working out solutions to similar integrals that they might encounter. Readers might want to add their own favorite integrals to this list. We also present the application of some integrals in engineering related topics. For example, nonuniform loading, hydrostatic force, moment of inertia, polar moment of inertia, etc. We introduce an up-to-date online software tool, WolframAlpha, that can be used for comparing our answers for the integrals listed. However, readers may want to update to WolframAlpha Pro for recovering some of the integrals' step-by-step solutions. In addition, similar CAS (computer algebra system) tools like Maple, Mathematica, or Mathcad may also be employed.
Covers the mathematics and physics of both current conversion, such as solar cells, fuel cells, MHD, thermoelectric, and thermionic power generation, and discusses emerging conversion technologies such as solar thermal, nuclear fusion, and hydrogen energy.
Tensor analysis is used in engineering and science fields. Calculations of physical quantities in different systems of coordinates and transformations are required in scientific computations. This requires the use of mathematical concepts and application software. This book is designed to provide the necessary definitions, formulations, and procedures for tensor analysis and transformations to help engineers and scientists to perform their calculations in arbitrary coordinates systems.Features:* Application of AR (augmented reality) to enhance static figures* Easy to understand mathematical concepts through numerous figures, solved examples, and exercises* List of gradient-like operators for major systems of coordinates* Companion disc with applications
This book can be used as a reference for the topic of turbulence modeling, especially in an engineering modeling and simulation course or as a tool for professionals on practical applications. Turbulent flow modeling has many applications in industry. The relevant numerical methods have advanced to the level that could be used by industry professionals to model many natural turbulent flows with acceptable accuracy. In this book we cover the fundamentals of turbulence, modeling techniques, and algorithms (including RANS) available in COMSOL(R) as well as providing several modeling examples and instructions for building these models. The companion DVD includes models and figures discussed in the book.eBook Customers: Companion files are available for downloading with order number/proof of purchase by writing to the publisher at info@merclearning.com.Features:*Includes companion DVD with models and figures discussed in the book*Explains the physics and principles of turbulence and provides modeling examples using COMSOL
COMSOL Multiphysics software is one of the most valuable software modeling tools for engineers and scientists. This book is designed for engineers from the fields of mechanical, electrical, and civil disciplines, and introduces multiphysics modeling techniques and examples accompanied by practical applications using COMSOL 4.x.
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