Partial Differentials with Applications to Thermodynamics and Compressible Flow

— —

Luis Manuel Braga da Costa Campos (University of Lisbon, Portugal) Luis Antonio Raio Vilela

Partial Differentials with Applications to Thermodynamics and Compressible Flow

Luis Manuel Braga da Costa Campos (University of Lisbon, Portugal), Luis Antonio Raio Vilela

$252

Mixed media product

Not in-store but you can order this
How long will it take?

Availability Information

We source books from suppliers in Australia and overseas. For books we don't currently have in stock, the time it takes to get them from our suppliers can vary widely - from a few days to a few months - so we check each book with each supplier to determine the expected time it will take to be supplied to us.

We then advise you accordingly. If the time taken to get any book is too long for you, you can let us know and we will cancel or adjust your order, and refund as required.

To find out the anticipated arrival time for specific items prior to ordering, please contact us by phone or email:

Phone +61 2 9264 3111, or 1800 4 BOOKS (1800 4 26657) if outside Sydney:
option 1 Abbey's Bookshop (Crime, History, Science, Kids & more) • info@abbeys.com.au
option 2 Language Book Centre (ESL & Foreign Languages) • language@abbeys.com.au
option 3 Galaxy Bookshop (Sci-fi, Fantasy, Romance, Graphic Novels) • sf@galaxybooks.com.au

QTY:

English

CRC Press
30 November 2022

Discrete mathematics; Differential calculus & equations; Applied mathematics; Mechanical engineering; Environmental science, engineering & technology

Series: Mathematics and Physics for Science and Technology

This book is part of the series Mathematics and Physics Applied to Science and Technology. It combines rigorous mathematics with general physical principles to model practical engineering systems with a detailed derivation and interpretation of results. The book presents the mathematical theory of partial differential equations and methods of solution satisfying initial and boundary conditions. It includes applications to acoustic, elastic, water, electromagnetic and other waves, to the diffusion of heat, mass and electricity, and to their interactions. The author covers simultaneously rigorous mathematics, general physical principles and engineering applications with practical interest. The book provides interpretation of results with the help of illustrations throughout and discusses similar phenomena, such as the diffusion of heat, electricity and mass. 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.

By: Luis Manuel Braga da Costa Campos (University of Lisbon Portugal), Luis Antonio Raio Vilela
Imprint: CRC Press
Country of Publication: United Kingdom
Dimensions: Height: 234mm, Width: 156mm,
Weight: 1.230kg
ISBN: 9780367623906
ISBN 10: 0367623900
Series: Mathematics and Physics for Science and Technology
Pages: 508
Publication Date: 30 November 2022
Audience: Professional and scholarly , Undergraduate
Format: Mixed media product
Publisher's Status: Active

Part 1: Vector Fields with applications to Thermodynamics and Irreversibility. 1. Classes of Equations and Similarity Solutions. 1.1. Hierarchy of Partial Differential Equations. 1.2 General Integral and Arbitrary Functions. 1.3. Unforced P.D.E. with First-Order Derivatives. 1.4. Quasi-Linear and Forced First-Order P.D.E.S. 1.5. Differentials of First-Degree in Three Variables. 1.6. P.D.E.s with Constant Coefficients and All Derivatives of Same Order. 1.7. Harmonic and Biharmonic Functions on the Plane. 1.8. Forced Linear P.D.E. with Derivatives of Constant Order. 1.9. Forced Harmonic and Biharmonic Equations. 1.10. Conclusion. 2. Thermodynamics, Irreversibility, Compressible Flow and Shocks. 2.1. Work, Heat, Entropy and Temperature. 2.2. Functions of State and Constitutive Properties. 2.3. Three Principles and Four Processes of Thermodynamics. 2.4. Entropy Production and Diffusive Properties. Part 2: Compressible Flow with applications to Engines, Shocks and Nozzles. 2. Thermodynamics, Irreversibility, Compressible Flow and Shocks. 2.5 Equation of State and Thermodynamic Cycles. 2.6 Adiabatic Compressible Fluid Flow. 2.7. Vortex Sheet and the Normal Shock (Rankine 1870; Huginot 1887). 2.8. Oblique Shock (Busemann 1931) and Adiabatic Turn (Prandtl, Meyer 1908). 2.9. The 'Choked' or 'Shocked' Nozzle. 2.10. Conclusion.

Luis Manuel Braga da Costa Campos was 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 Instituto Superior Tecnico (IST) of Lisbon University.