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Applications of mathematical heat transfer and fluid flow models in engineering and medicine / / Abram S. Dorfman
Applications of mathematical heat transfer and fluid flow models in engineering and medicine / / Abram S. Dorfman
Autore Dorfman A. Sh (Abram Shlemovich)
Pubbl/distr/stampa Chichester, UK ; ; Hoboken, NJ : , : John Wiley & Sons, , 2017
Descrizione fisica 1 online resource (588 pages) : illustrations
Disciplina 621.402/2
Collana Wiley-asme press series
Soggetto topico Heat - Transmission - Mathematical models
Fluid mechanics - Mathematical models
ISBN 1-119-32071-2
1-119-32074-7
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Record Nr. UNINA-9910154920903321
Dorfman A. Sh (Abram Shlemovich)  
Chichester, UK ; ; Hoboken, NJ : , : John Wiley & Sons, , 2017
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui
Applications of mathematical heat transfer and fluid flow models in engineering and medicine / / Abram S. Dorfman
Applications of mathematical heat transfer and fluid flow models in engineering and medicine / / Abram S. Dorfman
Autore Dorfman A. Sh (Abram Shlemovich)
Pubbl/distr/stampa Chichester, UK ; ; Hoboken, NJ : , : John Wiley & Sons, , 2017
Descrizione fisica 1 online resource (588 pages) : illustrations
Disciplina 621.402/2
Collana Wiley-asme press series
Soggetto topico Heat - Transmission - Mathematical models
Fluid mechanics - Mathematical models
ISBN 1-119-32071-2
1-119-32074-7
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Record Nr. UNINA-9910823137703321
Dorfman A. Sh (Abram Shlemovich)  
Chichester, UK ; ; Hoboken, NJ : , : John Wiley & Sons, , 2017
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui
Applied Complex Flow : Applications of Complex Flows and CFD / / Aydin Azizi, editor
Applied Complex Flow : Applications of Complex Flows and CFD / / Aydin Azizi, editor
Edizione [1st ed. 2023.]
Pubbl/distr/stampa Singapore : , : Springer, , [2023]
Descrizione fisica 1 online resource (193 pages)
Disciplina 532.00285
Collana Emerging Trends in Mechatronics Series
Soggetto topico Fluid mechanics - Data processing
Fluid mechanics - Mathematical models
ISBN 9789811977466
9789811977459
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto 1. Modeling Hemodynamics of Rotary Blood Pumps and Predicting the Potential Risks -- 2. Microfluidic-Integrated Biosensors -- 3. Droplet Microfluidics: A Multiphase System -- 4. Subject Specific Modelling of Aortic Flows -- 5. 3D Printing of Polymer Composites -- 6. Magnetorheological Fluids -- 7. Ceramic Manufacturing for Green Energy Applications -- 8. Rheology and Cure Kinetics of Modified and Non-modified Resin Systems.
Record Nr. UNINA-9910647777803321
Singapore : , : Springer, , [2023]
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui
Bio-mimetic swimmers in incompressible fluids : modeling, well-posedness, and controllability / / Alexander Khapalov
Bio-mimetic swimmers in incompressible fluids : modeling, well-posedness, and controllability / / Alexander Khapalov
Autore Khapalov Alexander Y.
Pubbl/distr/stampa Cham, Switzerland : , : Birkhäuser, , [2021]
Descrizione fisica 1 online resource (177 pages)
Disciplina 620.106
Collana Advances in Mathematical Fluid Mechanics
Soggetto topico Fluid mechanics - Mathematical models
Mecànica de fluids
Models matemàtics
Biomimètica
Soggetto genere / forma Llibres electrònics
ISBN 3-030-85285-7
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto Intro -- Preface -- Acknowledgments -- Contents -- 1 Introduction -- 1.1 Modeling: Mimicking the Nature -- 1.2 Mathematical Approach to Swimming Modeling -- 1.3 Swimming Controllability -- 1.4 Related Selected Bibliography -- Part I Modeling of Bio-Mimetic Swimmers in 2D and 3D Incompressible Fluids -- 2 Bio-Mimetic Fish-Like Swimmers in a 2D Incompressible Fluid: Empiric Modeling -- 2.1 Swimmer's Body as a Collection of Separate Sets -- 2.2 Bio-Mimetic Fish- and Snake-Like Swimmers -- 2.3 Swimmer's Internal Forces -- 2.3.1 Rotational Internal Forces -- 2.3.2 Elastic Internal Forces -- 2.4 Swimmer's Geometric Controls -- 2.5 Internal Forces and Conservation of Momenta -- 2.5.1 About Swimmers with Body Parts Different in Mass -- 2.6 Fluid Equations: Non-stationary Stokes and Navier-Stokes Equations in 2D -- 2.7 A Model of a 2D Fish-Like Bio-Mimetic Swimmer: The Case of Stokes Equations -- 2.8 A Model of a 2D Fish-Like Bio-Mimetic Swimmer: The Case of Navier-Stokes Equations -- 3 Bio-Mimetic Aquatic Frog- and Clam-Like Swimmers in a 2D Fluid: Empiric Modeling -- 3.1 A Bio-Mimetic Aquatic Frog-Like Swimmer in a 2D Incompressible Fluid -- 3.2 A Bio-Mimetic Clam-Like Swimmer in a 2D Incompressible Fluid -- 4 Bio-Mimetic Swimmers in a 3D Incompressible Fluid: Empiric Modeling -- 4.1 Rotational Forces in 3D -- 4.2 A Model of a 3D Fish-Like Bio-Mimetic Swimmer: The Case of Stokes Equations -- 4.3 A Bio-Mimetic Frog-Like Swimmer in a 3D Incompressible Fluid -- 4.4 A Bio-Mimetic Clam-Like Swimmer in a 3D Incompressible Fluid -- Part II Well-Posedness of Models for Bio-Mimetic Swimmers in 2D and 3D Incompressible Fluids -- 5 Well-Posedness of 2D or 3D Bio-Mimetic Swimmers: The Case of Stokes Equations -- 5.1 Notations -- 5.2 Swimmer's Body -- 5.3 Initial- and Boundary-Value Problem Setup -- 5.3.1 Estimates for Internal Forces.
5.4 Main Result: Existence and Uniqueness of Solutions -- 5.5 Proof of Theorem 5.1 -- 5.5.1 Preliminary Results: Decoupled Equation for zi(t)'s -- 5.5.2 Three Decoupled Solution Mappings for (5.3.1) -- 5.5.2.1 Solution Mapping A for zi(t), i = 1, …, n -- 5.5.2.2 Solution Mapping for Decoupled Non-stationary Stokes Equations -- 5.5.2.3 The Force Term -- 5.5.3 Proof of Theorem 5.1 -- 5.5.3.1 Proof of Existence: A Fixed Point Argument -- 5.5.3.2 Proof of Uniqueness -- 6 Well-Posedness of 2D or 3D Bio-Mimetic Swimmers… -- 6.1 Problem Setup and Main Results -- 6.1.1 Problem Setting -- 6.1.2 Main Results -- 6.2 Proofs of the Main Results -- 6.2.1 Solution Mapping for Decoupled Navier-Stokes Equations -- 6.2.2 Preliminary Results -- 6.2.3 Continuity of BNS -- 6.2.4 Proof of Theorems 6.1 and 6.2 -- Part III Micromotions and Local Controllability for Bio-Mimetic Swimmers in 2D and 3D Incompressible Fluids -- 7 Local Controllability of 2D and 3D Swimmers: The Case of Non-stationary Stokes Equations -- 7.1 Definitions of Controllability for Bio-Mimetic Swimmers -- 7.2 Main Results -- 7.2.1 Main Results -- 7.2.2 Main Results in Terms of Projections of Swimmers' Forces on the Fluid Velocity Space -- 7.3 Preliminary Results -- 7.3.1 Implicit Solution Formula -- 7.3.2 Differentiation with Respect to vj's and wk's -- 7.4 Volterra Equations for d zi (τ) d vj's -- 7.5 Auxiliary Estimates -- 7.6 Proof of Theorem 7.2 -- 7.7 Proof of Theorem 7.1 -- 7.7.1 Step 1 -- 7.7.2 Step 2 -- 8 Local Controllability of 2D and 3D Swimmers: The Case of Navier-Stokes Equations -- 8.1 Problem Setting -- 8.2 Main Results -- 8.2.1 Main Results: Micromotions in 2D and 3D -- 8.2.2 Main Results: Local Controllability in 2D -- 8.2.3 Main Results: Local Controllability in 3D -- 8.2.4 Methodology of Controllability Proofs -- 8.3 Derivatives ∂u∂vj |vjs=0 : 2D Case.
8.3.1 Auxiliary Notations -- 8.3.2 Equation for wh and its Well-Posedness -- 8.3.3 Auxiliary Regularity Results for Parabolic Systems from Lad2 -- 8.3.4 Auxiliary System of Linear Equations Systems -- 8.3.5 Derivatives ∂u∂vj |vjs=0 -- 8.4 Derivatives ∂zi∂vj | vjs = 0 as Solutions to Volterra Equations: 2D Case -- 8.4.1 Expression for zi(t -- h) - zi(t -- 0)h -- 8.4.2 Evaluation of the Integrand in the 1st Term on the Right in (8.4.2) -- 8.4.3 Volterra Equations -- 8.5 Proofs of Theorems 8.1 and 8.2 -- 8.5.1 Further Modification of (8.4.12) -- 8.5.2 Proofs of Theorem 8.1 and of Theorem 8.2 in the Case of Local Controllability Near Equilibrium (i.e., When u0 = 0) -- 8.5.2.1 Step 1 -- 8.5.2.2 Step 2 -- 8.5.2.3 Step 3: Proof of Theorem 8.1 when u0 = 0 -- 8.5.2.4 Step 4 -- 8.5.3 Proof of Theorems 8.2 and 8.1 -- 8.5.3.1 Step 1 -- 8.5.3.2 Step 2 -- 8.6 Proofs of Theorems 8.1 and 8.4 -- 8.6.1 Adjustments in Sects.8.3 and 8.4 -- 8.6.2 Adjustments in Sect.8.5 -- 8.6.2.1 Section 8.5.2.4, Step 4 in the 3D Case -- 8.6.2.2 Section 8.5.3 in the 3D Case -- Part IV Transformations of Swimmers' Internal Forces Acting in 2D and 3D Incompressible Fluids -- 9 Transformation of Swimmers' Forces Acting in a 2D Incompressible Fluid -- 9.1 Main Results -- 9.1.1 Qualitative Estimates for Forces Acting Upon Small Sets in an Incompressible 2D Fluid -- 9.1.2 Transformations of Forces Acting Upon Small Rectangles in an Incompressible 2D Fluid -- 9.1.3 Transformations of Forces Acting Upon Small Discs in an Incompressible 2D Fluid -- 9.1.4 Interpretation of Theorems 9.3 and 9.4: What Shape of S Is Better for Locomotion? -- 9.2 Proof of Theorem 9.1 -- 9.2.1 Step 1 -- 9.2.2 Step 2: Green's Formula -- 9.2.3 Step 3: Evaluation of the Integral of the Gradient of the 1-st Terms on the Right in (9.2.7) Over A.
9.2.4 Step 4: Evaluation of the Integral of the Gradient of the 2-nd Term in (9.2.7) Over A -- 9.3 Proof of Theorem 9.2 -- 9.3.1 Step 1 -- 9.3.2 Step 2 -- 9.3.3 Step 3 -- 9.3.4 Step 4 -- 9.4 Proofs of Theorems 9.3 and 9.4 -- 9.4.1 Proof of Theorem 9.3 -- 9.4.2 Step 1 -- 9.4.3 Step 2 -- 9.4.4 Step 3 -- 9.4.5 Step 4 -- 9.4.6 Step 5 -- 9.4.7 Step 6 -- 9.4.8 Step 7 -- 9.4.9 Step 8 -- 9.4.10 Step 9 -- 9.4.11 Proof of Theorem 9.4: Forces Acting Upon Small Discs in a Fluid -- 10 Transformation of Swimmers' Forces Acting in a 3D Incompressible Fluid -- 10.1 Main Results -- 10.1.1 Qualitative Estimates for Forces Acting Upon Small Sets in an Incompressible 3D Fluid -- 10.1.2 A General Formula for 1meas{S}S(PH bξ)(x)dx -- 10.1.3 The Case of Parallelepipeds -- 10.1.4 Spheres in 3D -- 10.1.5 Instrumental Observations in Relation to Controlled Steering -- 10.2 Proofs of Theorems 10.1 and 10.2 -- 10.2.1 Proof of Theorem 10.1 -- 10.2.1.1 Step 1 -- 10.2.1.2 Step 2: Green's Formula -- 10.2.1.3 Step 3: Evaluation of the First Term on the Right in (10.2.7)over A -- 10.2.1.4 Step 4 -- 10.2.1.5 Step 5 -- 10.2.2 Proof of Theorem 10.2 -- 10.2.2.1 Step 1 -- 10.2.2.2 Step 2 -- 10.2.2.3 Step 3 -- 10.2.2.4 Step 4: Calculation of the Terms in the Last Line in (10.2.26) -- 10.3 Proofs of Main Results -- 10.3.1 Proofs of Theorems 10.3-10.5 -- 10.3.1.1 Auxiliary Formulas -- 10.3.1.2 Proof of Theorem 10.3 -- 10.3.1.3 Proof of Theorem 10.4 -- 10.3.1.4 Proof of Theorem 10.5 -- Part V Global Steering for Bio-Mimetic Swimmers in 2D and 3D Incompressible Fluids -- 11 Swimming Capabilities of Swimmers in 2D and 3D Incompressible Fluids: Force Controllability -- 11.1 Discussion of Concepts for Global Swimming Locomotion -- 11.2 An Instrumental Observation -- 11.3 Illustrating Examples in 2D: A Snake- or Fish-Like and Breaststroke Locomotions.
11.3.1 Fish- or Snake-Like Locomotion to the Left -- 11.3.2 Turning Motion of One Rectangle, While the Other Two Retain Their Position -- 11.3.3 Breaststroke Locomotion for a Swimmer Consisting of 3 Rectangles: A Bio-Mimetic Clam (Scallop) -- 11.3.4 Breaststroke Locomotion for a Swimmer Consisting of 5 Rectangles: A Bio-Mimetic Aquatic Frog -- 11.4 Breaststroke Pattern for a Swimmer Consisting of 3 Discs -- 11.5 Illustrating Examples in 3D -- 11.6 Breaststroke Locomotion of a Swimmer Consisting of 3 Balls in 3D -- References.
Record Nr. UNISA-996466398103316
Khapalov Alexander Y.  
Cham, Switzerland : , : Birkhäuser, , [2021]
Materiale a stampa
Lo trovi qui: Univ. di Salerno
Opac: Controlla la disponibilità qui
Bio-mimetic swimmers in incompressible fluids : modeling, well-posedness, and controllability / / Alexander Khapalov
Bio-mimetic swimmers in incompressible fluids : modeling, well-posedness, and controllability / / Alexander Khapalov
Autore Khapalov Alexander Y.
Pubbl/distr/stampa Cham, Switzerland : , : Birkhäuser, , [2021]
Descrizione fisica 1 online resource (177 pages)
Disciplina 620.106
Collana Advances in Mathematical Fluid Mechanics
Soggetto topico Fluid mechanics - Mathematical models
Mecànica de fluids
Models matemàtics
Biomimètica
Soggetto genere / forma Llibres electrònics
ISBN 3-030-85285-7
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto Intro -- Preface -- Acknowledgments -- Contents -- 1 Introduction -- 1.1 Modeling: Mimicking the Nature -- 1.2 Mathematical Approach to Swimming Modeling -- 1.3 Swimming Controllability -- 1.4 Related Selected Bibliography -- Part I Modeling of Bio-Mimetic Swimmers in 2D and 3D Incompressible Fluids -- 2 Bio-Mimetic Fish-Like Swimmers in a 2D Incompressible Fluid: Empiric Modeling -- 2.1 Swimmer's Body as a Collection of Separate Sets -- 2.2 Bio-Mimetic Fish- and Snake-Like Swimmers -- 2.3 Swimmer's Internal Forces -- 2.3.1 Rotational Internal Forces -- 2.3.2 Elastic Internal Forces -- 2.4 Swimmer's Geometric Controls -- 2.5 Internal Forces and Conservation of Momenta -- 2.5.1 About Swimmers with Body Parts Different in Mass -- 2.6 Fluid Equations: Non-stationary Stokes and Navier-Stokes Equations in 2D -- 2.7 A Model of a 2D Fish-Like Bio-Mimetic Swimmer: The Case of Stokes Equations -- 2.8 A Model of a 2D Fish-Like Bio-Mimetic Swimmer: The Case of Navier-Stokes Equations -- 3 Bio-Mimetic Aquatic Frog- and Clam-Like Swimmers in a 2D Fluid: Empiric Modeling -- 3.1 A Bio-Mimetic Aquatic Frog-Like Swimmer in a 2D Incompressible Fluid -- 3.2 A Bio-Mimetic Clam-Like Swimmer in a 2D Incompressible Fluid -- 4 Bio-Mimetic Swimmers in a 3D Incompressible Fluid: Empiric Modeling -- 4.1 Rotational Forces in 3D -- 4.2 A Model of a 3D Fish-Like Bio-Mimetic Swimmer: The Case of Stokes Equations -- 4.3 A Bio-Mimetic Frog-Like Swimmer in a 3D Incompressible Fluid -- 4.4 A Bio-Mimetic Clam-Like Swimmer in a 3D Incompressible Fluid -- Part II Well-Posedness of Models for Bio-Mimetic Swimmers in 2D and 3D Incompressible Fluids -- 5 Well-Posedness of 2D or 3D Bio-Mimetic Swimmers: The Case of Stokes Equations -- 5.1 Notations -- 5.2 Swimmer's Body -- 5.3 Initial- and Boundary-Value Problem Setup -- 5.3.1 Estimates for Internal Forces.
5.4 Main Result: Existence and Uniqueness of Solutions -- 5.5 Proof of Theorem 5.1 -- 5.5.1 Preliminary Results: Decoupled Equation for zi(t)'s -- 5.5.2 Three Decoupled Solution Mappings for (5.3.1) -- 5.5.2.1 Solution Mapping A for zi(t), i = 1, …, n -- 5.5.2.2 Solution Mapping for Decoupled Non-stationary Stokes Equations -- 5.5.2.3 The Force Term -- 5.5.3 Proof of Theorem 5.1 -- 5.5.3.1 Proof of Existence: A Fixed Point Argument -- 5.5.3.2 Proof of Uniqueness -- 6 Well-Posedness of 2D or 3D Bio-Mimetic Swimmers… -- 6.1 Problem Setup and Main Results -- 6.1.1 Problem Setting -- 6.1.2 Main Results -- 6.2 Proofs of the Main Results -- 6.2.1 Solution Mapping for Decoupled Navier-Stokes Equations -- 6.2.2 Preliminary Results -- 6.2.3 Continuity of BNS -- 6.2.4 Proof of Theorems 6.1 and 6.2 -- Part III Micromotions and Local Controllability for Bio-Mimetic Swimmers in 2D and 3D Incompressible Fluids -- 7 Local Controllability of 2D and 3D Swimmers: The Case of Non-stationary Stokes Equations -- 7.1 Definitions of Controllability for Bio-Mimetic Swimmers -- 7.2 Main Results -- 7.2.1 Main Results -- 7.2.2 Main Results in Terms of Projections of Swimmers' Forces on the Fluid Velocity Space -- 7.3 Preliminary Results -- 7.3.1 Implicit Solution Formula -- 7.3.2 Differentiation with Respect to vj's and wk's -- 7.4 Volterra Equations for d zi (τ) d vj's -- 7.5 Auxiliary Estimates -- 7.6 Proof of Theorem 7.2 -- 7.7 Proof of Theorem 7.1 -- 7.7.1 Step 1 -- 7.7.2 Step 2 -- 8 Local Controllability of 2D and 3D Swimmers: The Case of Navier-Stokes Equations -- 8.1 Problem Setting -- 8.2 Main Results -- 8.2.1 Main Results: Micromotions in 2D and 3D -- 8.2.2 Main Results: Local Controllability in 2D -- 8.2.3 Main Results: Local Controllability in 3D -- 8.2.4 Methodology of Controllability Proofs -- 8.3 Derivatives ∂u∂vj |vjs=0 : 2D Case.
8.3.1 Auxiliary Notations -- 8.3.2 Equation for wh and its Well-Posedness -- 8.3.3 Auxiliary Regularity Results for Parabolic Systems from Lad2 -- 8.3.4 Auxiliary System of Linear Equations Systems -- 8.3.5 Derivatives ∂u∂vj |vjs=0 -- 8.4 Derivatives ∂zi∂vj | vjs = 0 as Solutions to Volterra Equations: 2D Case -- 8.4.1 Expression for zi(t -- h) - zi(t -- 0)h -- 8.4.2 Evaluation of the Integrand in the 1st Term on the Right in (8.4.2) -- 8.4.3 Volterra Equations -- 8.5 Proofs of Theorems 8.1 and 8.2 -- 8.5.1 Further Modification of (8.4.12) -- 8.5.2 Proofs of Theorem 8.1 and of Theorem 8.2 in the Case of Local Controllability Near Equilibrium (i.e., When u0 = 0) -- 8.5.2.1 Step 1 -- 8.5.2.2 Step 2 -- 8.5.2.3 Step 3: Proof of Theorem 8.1 when u0 = 0 -- 8.5.2.4 Step 4 -- 8.5.3 Proof of Theorems 8.2 and 8.1 -- 8.5.3.1 Step 1 -- 8.5.3.2 Step 2 -- 8.6 Proofs of Theorems 8.1 and 8.4 -- 8.6.1 Adjustments in Sects.8.3 and 8.4 -- 8.6.2 Adjustments in Sect.8.5 -- 8.6.2.1 Section 8.5.2.4, Step 4 in the 3D Case -- 8.6.2.2 Section 8.5.3 in the 3D Case -- Part IV Transformations of Swimmers' Internal Forces Acting in 2D and 3D Incompressible Fluids -- 9 Transformation of Swimmers' Forces Acting in a 2D Incompressible Fluid -- 9.1 Main Results -- 9.1.1 Qualitative Estimates for Forces Acting Upon Small Sets in an Incompressible 2D Fluid -- 9.1.2 Transformations of Forces Acting Upon Small Rectangles in an Incompressible 2D Fluid -- 9.1.3 Transformations of Forces Acting Upon Small Discs in an Incompressible 2D Fluid -- 9.1.4 Interpretation of Theorems 9.3 and 9.4: What Shape of S Is Better for Locomotion? -- 9.2 Proof of Theorem 9.1 -- 9.2.1 Step 1 -- 9.2.2 Step 2: Green's Formula -- 9.2.3 Step 3: Evaluation of the Integral of the Gradient of the 1-st Terms on the Right in (9.2.7) Over A.
9.2.4 Step 4: Evaluation of the Integral of the Gradient of the 2-nd Term in (9.2.7) Over A -- 9.3 Proof of Theorem 9.2 -- 9.3.1 Step 1 -- 9.3.2 Step 2 -- 9.3.3 Step 3 -- 9.3.4 Step 4 -- 9.4 Proofs of Theorems 9.3 and 9.4 -- 9.4.1 Proof of Theorem 9.3 -- 9.4.2 Step 1 -- 9.4.3 Step 2 -- 9.4.4 Step 3 -- 9.4.5 Step 4 -- 9.4.6 Step 5 -- 9.4.7 Step 6 -- 9.4.8 Step 7 -- 9.4.9 Step 8 -- 9.4.10 Step 9 -- 9.4.11 Proof of Theorem 9.4: Forces Acting Upon Small Discs in a Fluid -- 10 Transformation of Swimmers' Forces Acting in a 3D Incompressible Fluid -- 10.1 Main Results -- 10.1.1 Qualitative Estimates for Forces Acting Upon Small Sets in an Incompressible 3D Fluid -- 10.1.2 A General Formula for 1meas{S}S(PH bξ)(x)dx -- 10.1.3 The Case of Parallelepipeds -- 10.1.4 Spheres in 3D -- 10.1.5 Instrumental Observations in Relation to Controlled Steering -- 10.2 Proofs of Theorems 10.1 and 10.2 -- 10.2.1 Proof of Theorem 10.1 -- 10.2.1.1 Step 1 -- 10.2.1.2 Step 2: Green's Formula -- 10.2.1.3 Step 3: Evaluation of the First Term on the Right in (10.2.7)over A -- 10.2.1.4 Step 4 -- 10.2.1.5 Step 5 -- 10.2.2 Proof of Theorem 10.2 -- 10.2.2.1 Step 1 -- 10.2.2.2 Step 2 -- 10.2.2.3 Step 3 -- 10.2.2.4 Step 4: Calculation of the Terms in the Last Line in (10.2.26) -- 10.3 Proofs of Main Results -- 10.3.1 Proofs of Theorems 10.3-10.5 -- 10.3.1.1 Auxiliary Formulas -- 10.3.1.2 Proof of Theorem 10.3 -- 10.3.1.3 Proof of Theorem 10.4 -- 10.3.1.4 Proof of Theorem 10.5 -- Part V Global Steering for Bio-Mimetic Swimmers in 2D and 3D Incompressible Fluids -- 11 Swimming Capabilities of Swimmers in 2D and 3D Incompressible Fluids: Force Controllability -- 11.1 Discussion of Concepts for Global Swimming Locomotion -- 11.2 An Instrumental Observation -- 11.3 Illustrating Examples in 2D: A Snake- or Fish-Like and Breaststroke Locomotions.
11.3.1 Fish- or Snake-Like Locomotion to the Left -- 11.3.2 Turning Motion of One Rectangle, While the Other Two Retain Their Position -- 11.3.3 Breaststroke Locomotion for a Swimmer Consisting of 3 Rectangles: A Bio-Mimetic Clam (Scallop) -- 11.3.4 Breaststroke Locomotion for a Swimmer Consisting of 5 Rectangles: A Bio-Mimetic Aquatic Frog -- 11.4 Breaststroke Pattern for a Swimmer Consisting of 3 Discs -- 11.5 Illustrating Examples in 3D -- 11.6 Breaststroke Locomotion of a Swimmer Consisting of 3 Balls in 3D -- References.
Record Nr. UNINA-9910508447603321
Khapalov Alexander Y.  
Cham, Switzerland : , : Birkhäuser, , [2021]
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui
Chemical and biological processes in fluid flows [[electronic resource] ] : a dynamical systems approach / / Zoltán Neufeld, Emilio Hernández-García
Chemical and biological processes in fluid flows [[electronic resource] ] : a dynamical systems approach / / Zoltán Neufeld, Emilio Hernández-García
Autore Neufeld Zoltán
Pubbl/distr/stampa London, : Imperial College Press, c2010
Descrizione fisica 1 online resource (304 p.)
Disciplina 532.5015118
Altri autori (Persone) Hernández-GarcíaEmilio <1963->
Soggetto topico Fluid dynamics - Mathematical models
Fluid mechanics - Mathematical models
Soggetto genere / forma Electronic books.
ISBN 1-282-75976-0
9786612759765
1-84816-178-6
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto Contents; Preface; Chemically and biologically reacting flows; Plan of the book; 1 Fluid Flows; 1.1 Conservation laws; 1.2 Laminar and turbulent flows; 1.3 Turbulence; 1.4 Kolmogorov's theory of turbulence; 1.5 Two-dimensional flows; 2 Mixing and Dispersion in Fluid Flows; 2.1 Introduction; 2.1.1 Advection; 2.1.2 Diffusion; 2.1.3 Advection and diffusion; 2.2 Steady two-dimensional flows; 2.2.1 Advection along streamlines; 2.2.2 Dispersion of diffusive tracers in steady flows; 2.3 Advection in weakly time-dependent two-dimensional flows; 2.4 Chaotic advection in three dimensions
2.5 Dispersion by chaotic advection 2.5.1 The Lyapunov exponent; 2.6 Chaotic advection in open flows; 2.7 Chaotic advection and diffusion; 2.7.1 The filament model; 2.7.2 Asymptotic decay in chaotic flows; 2.8 Mixing in turbulent flows; 2.8.1 Relative dispersion in turbulence; 2.8.2 Passive scalar in turbulent flows; 2.9 Distribution of inertial particles in flows; 3 Chemical and Ecological Models; 3.1 Chemical dynamics; 3.1.1 The Law of Mass Action; 3.1.2 Binary, First-Order, and Zeroth-Order Reactions; 3.1.3 Autocatalytic and Enzymatic Reactions: The adiabatic elimination
3.1.4 Oscillations and excitability 3.1.5 Multistability; 3.2 Biological models; 3.2.1 Simple birth, death and saturation; 3.2.2 Predator-Prey models; 3.2.3 Competition; 3.3 Summary; 4 Reaction-diffusion Dynamics; 4.1 Diffusion and linear growth; 4.1.1 Linear spreading of perturbations; 4.1.2 The minimum habitat-size problem; 4.1.3 Plankton filaments; 4.2 Fisher waves; 4.3 Multistability: Fronts advancing on metastable states; 4.4 Excitable waves; 4.5 Turing diffusive instabilities; 4.6 Oscillatory media and beyond; 5 Fast Binary Reactions and the Lamellar Approach
5.1 Lamellar reacting models 5.2 Fast binary reactions in simple flows; 5.3 The fast binary reaction in complex flows; 6 Decay-type and Stable Reaction Dynamics in Flows; 6.1 Stable reaction dynamics and its global steady state; 6.2 The spectrum of decaying scalar in a flow; 6.2.1 The inertial-convective range; 6.2.2 The viscous-convective range; 6.3 Smooth and filamental distributions .; 6.4 Structure functions, multifractality and intermittency; 6.5 Two-dimensional turbulence with linear damping; 7 Mixing in Autocatalytic-type Processes; 7.1 Mixing in autocatalytic reactions
7.1.1 The closed-flow case7.1.2 The open flow case; 7.1.3 Results from the filament model; 7.1.4 Front propagation in cellular flows; 7.2 Mixing and bistable dynamics; 7.3 Mixing in excitable dynamics; 7.3.1 Excitable plankton dynamics; 7.4 Competition dynamics; 8 Mixing in Oscillatory Media; 8.1 Synchronization of oscillatory dynamics by mixing; 8.1.1 Persistent patterns in uniform medium; 8.2 Synchronization in non-uniform medium; 8.3 Noise induced oscillations in excitable media; 8.4 The effect of chaotic dispersion on cyclic competition; 9 Further Reading
9.1 Complex fluids and reactive flows
Record Nr. UNINA-9910455616703321
Neufeld Zoltán  
London, : Imperial College Press, c2010
Materiale a stampa
Lo trovi qui: Univ. Federico II
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Chemical and biological processes in fluid flows [[electronic resource] ] : a dynamical systems approach / / Zoltán Neufeld, Emilio Hernández-García
Chemical and biological processes in fluid flows [[electronic resource] ] : a dynamical systems approach / / Zoltán Neufeld, Emilio Hernández-García
Autore Neufeld Zoltán
Pubbl/distr/stampa London, : Imperial College Press, c2010
Descrizione fisica 1 online resource (304 p.)
Disciplina 532.5015118
Altri autori (Persone) Hernández-GarcíaEmilio <1963->
Soggetto topico Fluid dynamics - Mathematical models
Fluid mechanics - Mathematical models
ISBN 1-282-75976-0
9786612759765
1-84816-178-6
Classificazione BIO 249f
CIT 280f
PHY 220f
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto Contents; Preface; Chemically and biologically reacting flows; Plan of the book; 1 Fluid Flows; 1.1 Conservation laws; 1.2 Laminar and turbulent flows; 1.3 Turbulence; 1.4 Kolmogorov's theory of turbulence; 1.5 Two-dimensional flows; 2 Mixing and Dispersion in Fluid Flows; 2.1 Introduction; 2.1.1 Advection; 2.1.2 Diffusion; 2.1.3 Advection and diffusion; 2.2 Steady two-dimensional flows; 2.2.1 Advection along streamlines; 2.2.2 Dispersion of diffusive tracers in steady flows; 2.3 Advection in weakly time-dependent two-dimensional flows; 2.4 Chaotic advection in three dimensions
2.5 Dispersion by chaotic advection 2.5.1 The Lyapunov exponent; 2.6 Chaotic advection in open flows; 2.7 Chaotic advection and diffusion; 2.7.1 The filament model; 2.7.2 Asymptotic decay in chaotic flows; 2.8 Mixing in turbulent flows; 2.8.1 Relative dispersion in turbulence; 2.8.2 Passive scalar in turbulent flows; 2.9 Distribution of inertial particles in flows; 3 Chemical and Ecological Models; 3.1 Chemical dynamics; 3.1.1 The Law of Mass Action; 3.1.2 Binary, First-Order, and Zeroth-Order Reactions; 3.1.3 Autocatalytic and Enzymatic Reactions: The adiabatic elimination
3.1.4 Oscillations and excitability 3.1.5 Multistability; 3.2 Biological models; 3.2.1 Simple birth, death and saturation; 3.2.2 Predator-Prey models; 3.2.3 Competition; 3.3 Summary; 4 Reaction-diffusion Dynamics; 4.1 Diffusion and linear growth; 4.1.1 Linear spreading of perturbations; 4.1.2 The minimum habitat-size problem; 4.1.3 Plankton filaments; 4.2 Fisher waves; 4.3 Multistability: Fronts advancing on metastable states; 4.4 Excitable waves; 4.5 Turing diffusive instabilities; 4.6 Oscillatory media and beyond; 5 Fast Binary Reactions and the Lamellar Approach
5.1 Lamellar reacting models 5.2 Fast binary reactions in simple flows; 5.3 The fast binary reaction in complex flows; 6 Decay-type and Stable Reaction Dynamics in Flows; 6.1 Stable reaction dynamics and its global steady state; 6.2 The spectrum of decaying scalar in a flow; 6.2.1 The inertial-convective range; 6.2.2 The viscous-convective range; 6.3 Smooth and filamental distributions .; 6.4 Structure functions, multifractality and intermittency; 6.5 Two-dimensional turbulence with linear damping; 7 Mixing in Autocatalytic-type Processes; 7.1 Mixing in autocatalytic reactions
7.1.1 The closed-flow case7.1.2 The open flow case; 7.1.3 Results from the filament model; 7.1.4 Front propagation in cellular flows; 7.2 Mixing and bistable dynamics; 7.3 Mixing in excitable dynamics; 7.3.1 Excitable plankton dynamics; 7.4 Competition dynamics; 8 Mixing in Oscillatory Media; 8.1 Synchronization of oscillatory dynamics by mixing; 8.1.1 Persistent patterns in uniform medium; 8.2 Synchronization in non-uniform medium; 8.3 Noise induced oscillations in excitable media; 8.4 The effect of chaotic dispersion on cyclic competition; 9 Further Reading
9.1 Complex fluids and reactive flows
Record Nr. UNINA-9910780731503321
Neufeld Zoltán  
London, : Imperial College Press, c2010
Materiale a stampa
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Chemical and biological processes in fluid flows : a dynamical systems approach / / Zoltan Neufeld, Emilio Hernandez-Garcia
Chemical and biological processes in fluid flows : a dynamical systems approach / / Zoltan Neufeld, Emilio Hernandez-Garcia
Autore Neufeld Zoltan
Edizione [1st ed.]
Pubbl/distr/stampa London, : Imperial College Press, c2010
Descrizione fisica 1 online resource (304 p.)
Disciplina 532.5015118
Altri autori (Persone) Hernandez-GarciaEmilio <1963->
Soggetto topico Fluid dynamics - Mathematical models
Fluid mechanics - Mathematical models
ISBN 1-282-75976-0
9786612759765
1-84816-178-6
Classificazione BIO 249f
CIT 280f
PHY 220f
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto Contents; Preface; Chemically and biologically reacting flows; Plan of the book; 1 Fluid Flows; 1.1 Conservation laws; 1.2 Laminar and turbulent flows; 1.3 Turbulence; 1.4 Kolmogorov's theory of turbulence; 1.5 Two-dimensional flows; 2 Mixing and Dispersion in Fluid Flows; 2.1 Introduction; 2.1.1 Advection; 2.1.2 Diffusion; 2.1.3 Advection and diffusion; 2.2 Steady two-dimensional flows; 2.2.1 Advection along streamlines; 2.2.2 Dispersion of diffusive tracers in steady flows; 2.3 Advection in weakly time-dependent two-dimensional flows; 2.4 Chaotic advection in three dimensions
2.5 Dispersion by chaotic advection 2.5.1 The Lyapunov exponent; 2.6 Chaotic advection in open flows; 2.7 Chaotic advection and diffusion; 2.7.1 The filament model; 2.7.2 Asymptotic decay in chaotic flows; 2.8 Mixing in turbulent flows; 2.8.1 Relative dispersion in turbulence; 2.8.2 Passive scalar in turbulent flows; 2.9 Distribution of inertial particles in flows; 3 Chemical and Ecological Models; 3.1 Chemical dynamics; 3.1.1 The Law of Mass Action; 3.1.2 Binary, First-Order, and Zeroth-Order Reactions; 3.1.3 Autocatalytic and Enzymatic Reactions: The adiabatic elimination
3.1.4 Oscillations and excitability 3.1.5 Multistability; 3.2 Biological models; 3.2.1 Simple birth, death and saturation; 3.2.2 Predator-Prey models; 3.2.3 Competition; 3.3 Summary; 4 Reaction-diffusion Dynamics; 4.1 Diffusion and linear growth; 4.1.1 Linear spreading of perturbations; 4.1.2 The minimum habitat-size problem; 4.1.3 Plankton filaments; 4.2 Fisher waves; 4.3 Multistability: Fronts advancing on metastable states; 4.4 Excitable waves; 4.5 Turing diffusive instabilities; 4.6 Oscillatory media and beyond; 5 Fast Binary Reactions and the Lamellar Approach
5.1 Lamellar reacting models 5.2 Fast binary reactions in simple flows; 5.3 The fast binary reaction in complex flows; 6 Decay-type and Stable Reaction Dynamics in Flows; 6.1 Stable reaction dynamics and its global steady state; 6.2 The spectrum of decaying scalar in a flow; 6.2.1 The inertial-convective range; 6.2.2 The viscous-convective range; 6.3 Smooth and filamental distributions .; 6.4 Structure functions, multifractality and intermittency; 6.5 Two-dimensional turbulence with linear damping; 7 Mixing in Autocatalytic-type Processes; 7.1 Mixing in autocatalytic reactions
7.1.1 The closed-flow case7.1.2 The open flow case; 7.1.3 Results from the filament model; 7.1.4 Front propagation in cellular flows; 7.2 Mixing and bistable dynamics; 7.3 Mixing in excitable dynamics; 7.3.1 Excitable plankton dynamics; 7.4 Competition dynamics; 8 Mixing in Oscillatory Media; 8.1 Synchronization of oscillatory dynamics by mixing; 8.1.1 Persistent patterns in uniform medium; 8.2 Synchronization in non-uniform medium; 8.3 Noise induced oscillations in excitable media; 8.4 The effect of chaotic dispersion on cyclic competition; 9 Further Reading
9.1 Complex fluids and reactive flows
Record Nr. UNINA-9910826386003321
Neufeld Zoltan  
London, : Imperial College Press, c2010
Materiale a stampa
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Chemical evolution and estimated flow velocity of water in the Trinity aquifer, south-central Texas / / by S.A. Jones, Roger W. Lee, and John F. Busby
Chemical evolution and estimated flow velocity of water in the Trinity aquifer, south-central Texas / / by S.A. Jones, Roger W. Lee, and John F. Busby
Autore Jones S. A (Sonya A.)
Pubbl/distr/stampa Austin, Texas : , : U.S. Geological Survey, , 1997
Descrizione fisica 1 online resource (iv, 22 pages) : illustrations, maps
Collana Water-resources investigations report
Soggetto topico Groundwater flow - Texas - Trinity Aquifer
Streamflow - Texas - Trinity Aquifer
Water chemistry - Texas - Trinity Aquifer
Fluid mechanics - Mathematical models
Groundwater flow
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Record Nr. UNINA-9910716641303321
Jones S. A (Sonya A.)  
Austin, Texas : , : U.S. Geological Survey, , 1997
Materiale a stampa
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Computational methods for heat and mass transfer / Pradip Majumdar
Computational methods for heat and mass transfer / Pradip Majumdar
Autore Majumdar, Pradip, 1954-
Pubbl/distr/stampa New York : Taylor & Francis, 2005
Descrizione fisica xx, 717 p. : ill. ; 24 cm
Disciplina 532.001
Collana Series in computational and physical processes in mechanics and thermal sciences
Soggetto topico Fluid mechanics - Mathematical models
Heat - Transmission - Mathematical models
Mass transfer - Mathematical models
ISBN 1560329947
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Record Nr. UNISALENTO-991003473299707536
Majumdar, Pradip, 1954-  
New York : Taylor & Francis, 2005
Materiale a stampa
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