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Mathematical modeling in science and engineering [[electronic resource] ] : an axiomatic approach / / Ismael Herrera, George F. Pinder
Mathematical modeling in science and engineering [[electronic resource] ] : an axiomatic approach / / Ismael Herrera, George F. Pinder
Autore Herrera Ismael
Edizione [1st ed.]
Pubbl/distr/stampa Hoboken, N.J., : Wiley, 2012
Descrizione fisica 1 online resource (259 p.)
Disciplina 501/.51
Altri autori (Persone) PinderGeorge Francis <1942->
Soggetto topico System analysis - Mathematical models
Science - Mathematical models
Engineering - Mathematical models
Soggetto genere / forma Electronic books.
ISBN 1-280-59115-3
9786613620989
1-118-20722-X
1-118-20723-8
1-118-20720-3
Classificazione TEC009000
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto MATHEMATICAL MODELING IN SCIENCE AND ENGINEERING: An Axiomatic Approach; CONTENTS; Preface; 1 AXIOMATIC FORMULATION OF THE BASIC MODELS; 1.1 Models; 1.2 Microscopic and macroscopic physics; 1.3 Kinematics of continuous systems; 1.3.1 Intensive properties; 1.3.2 Extensive properties; 1.4 Balance equations of extensive and intensive properties; 1.4.1 Global balance equations; 1.4.2 The local balance equations; 1.4.3 The role of balance conditions in the modeling of continuous systems; 1.4.4 Formulation of motion restrictions by means of balance equations; 1.5 Summary; Exercises; References
2 MECHANICS OF CLASSICAL CONTINUOUS SYSTEMS2.1 One-phase systems; 2.2 The basic mathematical model of one-phase systems; 2.3 The extensive/intensive properties of classical mechanics; 2.4 Mass conservation; 2.5 Linear momentum balance; 2.6 Angular momentum balance; 2.7 Energy concepts; 2.8 The balance of kinetic energy; 2.9 The balance of internal energy; 2.10 Heat equivalent of mechanical work; 2.11 Summary of basic equations for solid and fluid mechanics; 2.12 Some basic concepts of thermodynamics; 2.12.1 Heat transport; 2.13 Summary; Exercises; References
3 MECHANICS OF NON-CLASSICAL CONTINUOUS SYSTEMS3.1 Multiphase systems; 3.2 The basic mathematical model of multiphase systems; 3.3 Solute transport in a free fluid; 3.4 Transport by fluids in porous media; 3.5 Flow of fluids through porous media; 3.6 Petroleum reservoirs: the black-oil model; 3.6.1 Assumptions of the black-oil model; 3.6.2 Notation; 3.6.3 Family of extensive properties; 3.6.4 Differential equations and jump conditions; 3.7 Summary; Exercises; References; 4 SOLUTE TRANSPORT BY A FREE FLUID; 4.1 The general equation of solute transport by a free fluid; 4.2 Transport processes
4.2.1 Advection4.2.2 Diffusion processes; 4.3 Mass generation processes; 4.4 Differential equations of diffusive transport; 4.5 Well-posed problems for diffusive transport; 4.5.1 Time-dependent problems; 4.5.2 Steady state; 4.6 First-order irreversible processes; 4.7 Differential equations of non-diffusive transport; 4.8 Well-posed problems for non-diffusive transport; 4.8.1 Well-posed problems in one spatial dimension; 4.8.2 Well-posed problems in several spatial dimensions; 4.8.3 Well-posed problems for steady-state models; 4.9 Summary; Exercises; References
5 FLOW OF A FLUID IN A POROUS MEDIUM5.1 Basic assumptions of the flow model; 5.2 The basic model for the flow of a fluid through a porous medium; 5.3 Modeling the elasticity and compressibility; 5.3.1 Fluid compressibility; 5.3.2 Pore compressibility; 5.3.3 The storage coefficient; 5.4 Darcy's law; 5.5 Piezometric level; 5.6 General equation governing flow through a porous medium; 5.6.1 Special forms of the governing differential equation; 5.7 Applications of the jump conditions; 5.8 Well-posed problems; 5.8.1 Steady-state models; 5.8.2 Time-dependent problems
5.9 Models with a reduced number of spatial dimensions
Record Nr. UNINA-9910141300103321
Herrera Ismael  
Hoboken, N.J., : Wiley, 2012
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui
Mathematical modeling in science and engineering : an axiomatic approach / / Ismael Herrera, George F. Pinder
Mathematical modeling in science and engineering : an axiomatic approach / / Ismael Herrera, George F. Pinder
Autore Herrera Ismael
Edizione [1st ed.]
Pubbl/distr/stampa Hoboken, N.J., : Wiley, 2012
Descrizione fisica 1 online resource (259 p.)
Disciplina 501/.51
Altri autori (Persone) PinderGeorge Francis <1942->
Soggetto topico System analysis - Mathematical models
Science - Mathematical models
Engineering - Mathematical models
ISBN 1-280-59115-3
9786613620989
1-118-20722-X
1-118-20723-8
1-118-20720-3
Classificazione TEC009000
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto MATHEMATICAL MODELING IN SCIENCE AND ENGINEERING: An Axiomatic Approach; CONTENTS; Preface; 1 AXIOMATIC FORMULATION OF THE BASIC MODELS; 1.1 Models; 1.2 Microscopic and macroscopic physics; 1.3 Kinematics of continuous systems; 1.3.1 Intensive properties; 1.3.2 Extensive properties; 1.4 Balance equations of extensive and intensive properties; 1.4.1 Global balance equations; 1.4.2 The local balance equations; 1.4.3 The role of balance conditions in the modeling of continuous systems; 1.4.4 Formulation of motion restrictions by means of balance equations; 1.5 Summary; Exercises; References
2 MECHANICS OF CLASSICAL CONTINUOUS SYSTEMS2.1 One-phase systems; 2.2 The basic mathematical model of one-phase systems; 2.3 The extensive/intensive properties of classical mechanics; 2.4 Mass conservation; 2.5 Linear momentum balance; 2.6 Angular momentum balance; 2.7 Energy concepts; 2.8 The balance of kinetic energy; 2.9 The balance of internal energy; 2.10 Heat equivalent of mechanical work; 2.11 Summary of basic equations for solid and fluid mechanics; 2.12 Some basic concepts of thermodynamics; 2.12.1 Heat transport; 2.13 Summary; Exercises; References
3 MECHANICS OF NON-CLASSICAL CONTINUOUS SYSTEMS3.1 Multiphase systems; 3.2 The basic mathematical model of multiphase systems; 3.3 Solute transport in a free fluid; 3.4 Transport by fluids in porous media; 3.5 Flow of fluids through porous media; 3.6 Petroleum reservoirs: the black-oil model; 3.6.1 Assumptions of the black-oil model; 3.6.2 Notation; 3.6.3 Family of extensive properties; 3.6.4 Differential equations and jump conditions; 3.7 Summary; Exercises; References; 4 SOLUTE TRANSPORT BY A FREE FLUID; 4.1 The general equation of solute transport by a free fluid; 4.2 Transport processes
4.2.1 Advection4.2.2 Diffusion processes; 4.3 Mass generation processes; 4.4 Differential equations of diffusive transport; 4.5 Well-posed problems for diffusive transport; 4.5.1 Time-dependent problems; 4.5.2 Steady state; 4.6 First-order irreversible processes; 4.7 Differential equations of non-diffusive transport; 4.8 Well-posed problems for non-diffusive transport; 4.8.1 Well-posed problems in one spatial dimension; 4.8.2 Well-posed problems in several spatial dimensions; 4.8.3 Well-posed problems for steady-state models; 4.9 Summary; Exercises; References
5 FLOW OF A FLUID IN A POROUS MEDIUM5.1 Basic assumptions of the flow model; 5.2 The basic model for the flow of a fluid through a porous medium; 5.3 Modeling the elasticity and compressibility; 5.3.1 Fluid compressibility; 5.3.2 Pore compressibility; 5.3.3 The storage coefficient; 5.4 Darcy's law; 5.5 Piezometric level; 5.6 General equation governing flow through a porous medium; 5.6.1 Special forms of the governing differential equation; 5.7 Applications of the jump conditions; 5.8 Well-posed problems; 5.8.1 Steady-state models; 5.8.2 Time-dependent problems
5.9 Models with a reduced number of spatial dimensions
Record Nr. UNINA-9910811063603321
Herrera Ismael  
Hoboken, N.J., : Wiley, 2012
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui