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 | ||
|
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 | ||
|
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 | ||
|
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 | ||
|
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 | ||
|
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 | ||
|
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 | ||
Lo trovi qui: Univ. Federico II | ||
|
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 | ||
Lo trovi qui: Univ. Federico II | ||
|
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 | ||
Lo trovi qui: Univ. Federico II | ||
|
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 | ||
Lo trovi qui: Univ. del Salento | ||
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