Theory and applications of nonviscous fluid flows:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Berlin u.a.
Springer
2002
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| Schriftenreihe: | Physics and astronomy online library
|
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | Literaturverz. S. 281 - 290 |
| Beschreibung: | XII, 294 S. graph. Darst. : 24 cm |
| ISBN: | 3540414126 |
Internformat
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| 245 | 1 | 0 | |a Theory and applications of nonviscous fluid flows |c Radyadour Kh. Zeytounian |
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Datensatz im Suchindex
| _version_ | 1804128567436509184 |
|---|---|
| adam_text | RADYADOUR KH. ZEYTOUNIAN THEORY AND APPLICATIONS OF NONVISCOUS FLUID
FLOWS WITH 38 FIGURES SPRINGER CONTENTS INTRODUCTION 1 1. FLUID DYNAMIC
LIMITS OF THE BOLTZMANN EQUATION 11 1.1 THE BOLTZMANN EQUATION 11 1.2
THE FLUID DYNAMIC LIMITS 12 1.2.1 HILBERT EXPANSION 15 1.2.2 THE ENTROPY
APPROACH 17 1.2.3 SOME COMPLEMENTARY REMARKS 18 1.3 COMMENTS 20 2. FROM
CLASSICAL CONTINUUM THEORY TO EULER EQUATIONS VIA N*S*F EQUATIONS 25 2.1
NEWTONIAN FLUIDS 25 2.1.1 RATE OF STRAIN AND STRESS TENSORS 27 2.1.2
CONSTITUTIVE RELATIONS FOR A NEWTONIAN FLUID 27 2.1.3 EQUATIONS OF
STATE: PERFECT GAS AND EXPANSIBLE LIQUID 29 2.2 PARTIAL DIFFERENTIAL
EQUATIONS FOR THE MOTION OF ANY CONTINUUM 31 2.3 N-S-F EQUATIONS 32
2.3.1 FOR A PERFECT GAS 32 2.3.2 FOR AN EXPANSIBLE LIQUID 33 2.4
DIMENSIONLESS N-S-F EQUATIONS 34 2.4.1 NONDIMENSIONAL FORM OF THE N-S-F
EQUATIONS FOR A PERFECT GAS 34 3. A SHORT PRESENTATION OF ASYMPTOTIC
METHODS AND MODELLING 37 3.1 METHOD OF STRAINED COORDINATES 39 3.2
METHOD OF MATCHED ASYMPTOTIC EXPANSIONS 39 3.3 MULTIPLE SCALE METHOD 42
3.3.1 HOMOGENIZATION METHOD 43 3.4 FLOW WITH VARIABLE VISCOSITY: AN
ASYMPTOTIC MODEL 44 3.4.1 THE ASSOCIATED THREE LIMITING PROCESSES 46
3.4.2 INTERACTION BETWEEN THE BL AND THE LVL 48 X CONTENTS 3.5 LOW MACH
NUMBER FLOWS: WEAKLY NONLINEAR ACOUSTIC WAVES 49 3.5.1 STEICHEN EQUATION
FOR AN EULERIAN IRROTATIONAL FLOW . . 49 3.5.2 UNSTEADY-STATE
ONE-DIMENSIONAL CASE 50 3.5.3 BURGERS EQUATION FOR THE FAR FIELD IN THE
DISSIPATIVE CASE 54 4. VARIOUS FORMS OF EULER EQUATIONS AND SOME
HYDRO-AERODYNAMICS PROBLEMS 61 4.1 BAROTROPIC INVISCID FLUID FLOW 61 4.2
BERNOULLI EQUATION AND POTENTIAL FLOWS 63 4.3 D ALEMBERT PARADOX AND
KUTTA-JOUKOWSKI-VILLAT CONDITION . 64 4.3.1 MORE CONCERNING THE K-J-V
CONDITION 67 4.4 POTENTIAL FLOWS AND WATER WAVES 73 4.4.1 FORMULATION OF
THE WATER-WAVE PROBLEM 74 4.4.2 FROM CAUCHY AND POISSON TO AIRY AND
STOKES 75 4.4.3 BOUSSINESQ AND KDV EQUATIONS 76 4.4.4 SOLITON DYNAMICS,
KP, NLS, AND NLS-POISSON EQUATIONS 77 4.5 COMPRESSIBLE EULERIAN
BAROCLINIC FLUID FLOW 82 4.5.1 LAGRANGIAN INVARIANTS 83 4.5.2 CLEBSCH S
AND WEBER S TRANSFORMATIONS. HAMILTONIAN FORM AND CAUCHY S INTEGRAL 87
4.5.3 VECTOR FIELD FROZEN INTO THE MEDIUM AND FRIDMAN S THEOREM 90 4.5.4
A VARIATIONAL PRINCIPLE 92 4.5.5 THE FORMATION OF VORTICES AND BJERKNES
THEOREM .... 94 4.5.6 VARIOUS FORMS OF EULER EQUATIONS 96 4.6 ISOCHORIC
FLUID FLOWS 101 4.6.1 FROM ISOCHORIC FLUID FLOW TO INCOMPRESSIBLE FLUID
FLOW 102 4.6.2 UNSTEADY-STATE 2-D CASE 103 4.6.3 STEADY-STATE 2-D CASE
104 4.6.4 WEAKLY NONLINEAR LONG INTERNAL WAVES IN STRATIFIED FLOWS 108
4.7 ISENTROPIC FLUID FLOW AND THE STEICHEN EQUATION 110 4.7.1 ISENTROPIC
EULER EQUATIONS ILL 4.7.2 THE STEICHEN EQUATION FOR THE VELOCITY
POTENTIAL 112 4.8 STEADY EULER EQUATIONS AND STREAM FUNCTIONS 120 4.8.1
2-D CASE 121 4.8.2 3-D ADIABATIC STEADY-STATE FLOWS 127 5. ATMOSPHERIC
FLOW EQUATIONS AND LEE WAVES 131 5.1 EULER EQUATIONS FOR ATMOSPHERIC
MOTIONS 131 5.1.1 GENERALISATION OF THE BJERKNES THEOREM. INFLUENCE OF
THE CORIOLIS ACCELERATION 133 CONTENTS XI 5.2 THE METEOROLOGICAL
PRIMITIVE KIBEL EQUATIONS 134 5.2.1 THE /-PLANE APPROXIMATION 134
5.2.2 THE PRIMITIVE (KIBEL) EQUATIONS 137 5.2.3 THE QUASI-GEOSTROPHIC
MODEL EQUATION 141 5.2.4 ADJUSTMENT TO GEOSTROPHY. FORMULATION OF THE
INITIAL CONDITION FOR THE QG EQUATION (5.49) . . . 143 5.3 THE
BOUSSINESQ INVISCID EQUATIONS 146 5.3.1 THE STANDARD ATMOSPHERE 146
5.3.2 ASYMPTOTIC DERIVATION OF INVISCID BOUSSINESQ EQUATIONS 148 5.3.3
STEADY BOUSSINESQ CASE 154 5.3.4 FROM ISOCHORIC EQUATIONS TO BOUSSINESQ
EQUATIONS . . . 160 5.4 ISOCHORIC LEE WAVES 161 5.4.1 STEADY-STATE 2-D
MODEL PROBLEMS 161 5.4.2 ISOCHORIC 2-D STEADY-STATE LEE WAVES 163 5.5
BOUSSINESQ LEE WAVES 166 6. LOW MACH NUMBER FLOW AND ACOUSTICS EQUATIONS
171 6.1 EULER INCOMPRESSIBLE LIMIT EQUATIONS 171 6.1.1 EQUATION FOR THE
TEMPERATURE PERTURBATION 173 6.2 EQUATIONS OF ACOUSTICS 173 6.2.1
EXTERNAL AERODYNAMICS 173 6.2.2 INTERNAL AERODYNAMICS 174 6.2.3 THE
SINGULAR NATURE OF THE FAR FIELD 178 7. TURBO-MACHINERY FLUID FLOW 185
7.1 VARIOUS FACETS OF AN ASYMPTOTIC THEORY 186 7.2 THROUGH-FLOW MODEL
189 7.3 FLOW ANALYSIS AT THE LEADING/TRAILING EDGES OF A ROW 193 7.4
COMPLEMENTARY REMARKS 194 7.4.1 A SIMPLE TWO-STREAM FUNCTION APPROACH
199 8. VORTEX SHEETS AND SHOCK LAYER PHENOMENA 203 8.1 THE CONCEPT OF
DISCONTINUITY 203 8.1.1 ENTROPY AND VORTICITY INTRODUCED BEHIND A SHOCK
.... 204 8.2 JUMP RELATIONS ASSOCIATED WITH A CONSERVATION LAW 207 8.2.1
NORMAL SHOCK 208 8.2.2 OBLIQUE SHOCK 210 8.3 THE STRUCTURE OF THE SHOCK
LAYER 215 8.3.1 A SIMPLE DESCRIPTION OF THE STRUCTURE OF THE TAYLOR
SHOCK LAYER 217 8.4 SOME PROPERTIES OF THE VORTEX SHEET 221 8.4.1 THE
GUIRAUD-ZEYTOUNIAN ROLLED-UP VORTEX SHEET THEORY 224 XII CONTENTS 9.
RIGOROUS MATHEMATICAL RESULTS 231 9.1 WELL-POSEDNESS OF EULERIAN FLUID
FLOWS 232 9.1.1 THE WELL-POSEDNESS OF EULERIAN INCOMPRESSIBLE FLUID FLOW
236 9.1.2 THE WELL-POSEDNESS OF EULERIAN COMPRESSIBLE FLUID FLOW 242
9.1.3 SOLVABILITY OF EULERIAN FLUID FLOW 245 9.1.4 THE CAUCHY-KOWALEVSKI
THEOREM 253 9.1.5 STABILITY-INSTABILITY CONCEPT 258 9.2 EXISTENCE,
REGULARITY, AND UNIQUENESS RESULTS 271 9.2.1 WATER WAVES AND SOLITARY
WAVES 274 9.2.2 MOTION OF A COMPRESSIBLE INVISCID FLUID 274 9.2.3 THE
INCOMPRESSIBLE LIMIT OF COMPRESSIBLE EULER EQUATIONS 276 9.2.4 MORE
RECENT RIGOROUS RESULTS 277 REFERENCES 281 INDEX 291
|
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| indexdate | 2024-07-09T18:51:18Z |
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| isbn | 3540414126 |
| language | English |
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| physical | XII, 294 S. graph. Darst. : 24 cm |
| publishDate | 2002 |
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| publisher | Springer |
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| spelling | Zeytounian, Radyadour Kh. 1928- Verfasser (DE-588)112097952 aut Theory and applications of nonviscous fluid flows Radyadour Kh. Zeytounian Berlin u.a. Springer 2002 XII, 294 S. graph. Darst. : 24 cm txt rdacontent n rdamedia nc rdacarrier Physics and astronomy online library Literaturverz. S. 281 - 290 Fluid dynamics Newtonian fluids Newtonsche Flüssigkeit (DE-588)4191473-9 gnd rswk-swf Strömungsmechanik (DE-588)4077970-1 gnd rswk-swf Strömungsmechanik (DE-588)4077970-1 s Newtonsche Flüssigkeit (DE-588)4191473-9 s DE-604 HEBIS Datenaustausch Darmstadt application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=009397583&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Zeytounian, Radyadour Kh. 1928- Theory and applications of nonviscous fluid flows Fluid dynamics Newtonian fluids Newtonsche Flüssigkeit (DE-588)4191473-9 gnd Strömungsmechanik (DE-588)4077970-1 gnd |
| subject_GND | (DE-588)4191473-9 (DE-588)4077970-1 |
| title | Theory and applications of nonviscous fluid flows |
| title_auth | Theory and applications of nonviscous fluid flows |
| title_exact_search | Theory and applications of nonviscous fluid flows |
| title_full | Theory and applications of nonviscous fluid flows Radyadour Kh. Zeytounian |
| title_fullStr | Theory and applications of nonviscous fluid flows Radyadour Kh. Zeytounian |
| title_full_unstemmed | Theory and applications of nonviscous fluid flows Radyadour Kh. Zeytounian |
| title_short | Theory and applications of nonviscous fluid flows |
| title_sort | theory and applications of nonviscous fluid flows |
| topic | Fluid dynamics Newtonian fluids Newtonsche Flüssigkeit (DE-588)4191473-9 gnd Strömungsmechanik (DE-588)4077970-1 gnd |
| topic_facet | Fluid dynamics Newtonian fluids Newtonsche Flüssigkeit Strömungsmechanik |
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