Compressible Flow With Applications To Engines Shocks And Nozzles
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Compressible Flow with Applications to Engines, Shocks and Nozzles
Author: Luis Manuel Braga da Costa Campos
language: en
Publisher: CRC Press
Release Date: 2022-11-30
Compressible Flow with Application to Shocks and Propulsion is part of the series "Mathematics and Physics for Science and Technology", which combines rigorous mathematics with general physical principles to model practical engineering systems with a detailed derivation and interpretation of results. Volume V presents the mathematical theory of partial differential equations and methods of solution satisfying initial and boundary conditions, and includes applications to: acoustic, elastic, water, electromagnetic and other waves; the diffusion of heat, mass and electricity; and their interactions. This is the second book of the volume. The first book of volume V starts with the classification of partial differential equations and proceeds with similarity methods that apply in general to linear equations with constant coefficients and all derivatives of the same order, such as the Laplace and Biharmonic equations, without and with forcing. The similarity solutions are also applied to Burger's non-linear diffusion equation. First-order linear and quasi-linear partial differential equations with variable coefficients are considered, with application to the representation of conservative/non-conservative, solenoidal/rotational and Beltrami/helical vector fields by one, two or three scalar and/or one vector potential in relation with exact, inexact and non-integrable differentials. The latter appear in the first and second principles of thermodynamics that specify the constitutive and diffusive properties of matter as concerns thermal, mechanical, elastic, flow, electrical, magnetic and chemical phenomena and their interactions. The book is intended for graduate students and engineers working with mathematical models and can be applied to problems in mechanical, aerospace, electrical and other branches of engineering dealing with advanced technology, and also in the physical sciences and applied mathematics. This book: Simultaneously covers rigorous mathematics, general physical principles and engineering applications with practical interest Provides interpretation of results with the help of illustrations Includes detailed proofs of all results L.M.B.C. Campos was chair professor and the Coordinator of the Scientific Area of Applied and Aerospace Mechanics in the Department of Mechanical Engineering and also the director (and founder) of the Center for Aeronautical and Space Science and Technology until retirement in 2020. L.A.R. Vilela is currently completing an Integrated Master's degree in Aerospace Engineering at Institute Superior Tecnico (1ST) of Lisbon University.
Linear Partial Differential and Difference Equations and Simultaneous Systems with Constant or Homogeneous Coefficients
Author: Luis Manuel Braga da Costa Campos
language: en
Publisher: CRC Press
Release Date: 2024-06-07
Linear Partial Differential and Difference Equations and Simultaneous Systems: With Constant or Homogeneous Coefficients is part of the series "Mathematics and Physics for Science and Technology," which combines rigorous mathematics with general physical principles to model practical engineering systems with a detailed derivation and interpretation of results. Volume V presents the mathematical theory of partial differential equations and methods of solution satisfying initial and boundary conditions, and includes applications to: acoustic, elastic, water, electromagnetic and other waves; the diffusion of heat, mass, and electricity; and their interactions. This is the third book of the volume. The book starts with six different methods of solution of linear partial differential equations (p.d.e.) with constant coefficients. One of the methods, namely characteristic polynomial, is then extended to a further five classes, including linear p.d.e. with homogeneous power coefficients and finite difference equations and simultaneous systems of both (simultaneous partial differential equations [s.p.d.e.] and simultaneous finite difference equations [s.f.d.e.]). The applications include detailed solutions of the most important p.d.e. in physics and engineering, including the Laplace, heat, diffusion, telegraph, bar, and beam equations. The free and forced solutions are considered together with boundary, initial, asymptotic, starting, and other conditions. The book is intended for graduate students and engineers working with mathematical models and can be applied to problems in mechanical, aerospace, electrical, and other branches of engineering dealing with advanced technology, and also in the physical sciences and applied mathematics.
Flow and Heat Exchange in Engineering
"Flow and Heat Exchange in Engineering" is a dynamic exploration tailored for undergraduate students. This comprehensive guide bridges theoretical principles with practical applications in fluid dynamics and thermal engineering. We delve into fundamental concepts of fluid flow and heat transfer, essential for understanding various engineering systems and processes. From pipelines to heat exchangers, our goal is to equip students with the knowledge and skills to design efficient and sustainable engineering solutions. Each chapter focuses on clarity and accessibility, presenting key theoretical concepts with real-world examples and practical illustrations. Engaging exercises and problems reinforce learning objectives and encourage critical thinking, enabling students to apply principles to solve complex engineering challenges. Whether pursuing a degree in mechanical, chemical, or aerospace engineering, this book provides a solid foundation in fluid flow and heat exchange principles, preparing students for success in their academic and future engineering careers. Join us as we unravel the mysteries of engineering flow and heat exchange, empowering the next generation of innovative engineers.