Vector mechanics of fluids and magnetofluids:
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| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
New York [u.a.]
Acad. Pr.
1967
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| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | XVII, 499 S. Ill., graph. Darst. 25 cm |
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| 245 | 1 | 0 | |a Vector mechanics of fluids and magnetofluids |c Salamon Eskinazi |
| 264 | 1 | |a New York [u.a.] |b Acad. Pr. |c 1967 | |
| 300 | |a XVII, 499 S. |b Ill., graph. Darst. |c 25 cm | ||
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| 650 | 4 | |a Analyse vectorielle | |
| 650 | 4 | |a Fluides, Mécanique des | |
| 650 | 4 | |a Magnétohydrodynamique | |
| 650 | 7 | |a Vloeistofmechanica |2 gtt | |
| 650 | 4 | |a Fluid mechanics | |
| 650 | 4 | |a Magnetohydrodynamics | |
| 650 | 4 | |a Vector analysis | |
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Record in the Search Index
| _version_ | 1804121282302705664 |
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| adam_text | VECTOR MECHANICS OF FLUIDS AND MAGNETOFLUIDS SALAMON ESKINAZI DEPARTMENT
OF MECHANICAL AND AEROSPACE ENGINEERING SYRACUSE UNIVERSITY SYRACUSE,
NEW YORK 1967 ACADEMIC PRESS NEW YORK AND LONDON CONTENTS PREFACE VII
LIST OF SYMBOLS XVI 1 FUNDAMENTAL CONCEPTS 1.1 SOLID, LIQUID, AND GAS ..
.. .. .. .. .. .. .. 1 1.2 SYSTEM, PROPERTY, AND STATE .. .. .. .. .. ..
.. 3 1.3 PROPERTIES IN A CONTINUUM .. .. .. .. .. .. .. 4 1.4 MASS AND
FORCE 6 1.5 DIMENSIONS IN NEWTON S LAW OF INERTIA 9 1.6 DIMENSIONAL
SYSTEMS IN ELECTROMAGNETISM .. .. .. .. .. 12 1.7 DENSITY, SPECIFIC
WEIGHT, SPECIFIC GRAVITY, AND SPECIFIC VOLUME .. .. 15 1.8 THE EQUATION
OF STATE 16 1.9 COEFFICIENT OF COMPRESSIBILITY, COEFFICIENT OF THERMAL
EXPANSION, AND COEFFICIENT OF TENSION 18 1.10 COMPRESSIBLE AND
INCOMPRESSIBLE FLUIDS 20 1.11 VISCOSITY AND SHEARING STRESS 22 1.12
FRICTIONLESS MOTION .. .. .. .. .. .. .. .. .. 28 1.13 PERFECT FLUID 29
1.14 REAL FLUIDS 29 1.15 SURFACE TENSION OF LIQUIDS 31 2 BASIC CONCEPTS
IN VECTOR ANALYSIS 2.1 SCALARS AND VECTORS 33 2.2 VECTORS IN ORTHOGONAL
COORDINATE AXES .. . . . . 34 2.3 ADDITION AND SUBTRACTION OF VECTORS 36
2.4 MULTIPLICATION OF A VECTOR WITH A SCALAR .. .. .. .. .. .. 37 2.5
LINEAR RELATION OF COPLANAR VECTORS 38 2.6 UNIT VECTOR AND VECTOR
ADDITION OF COMPONENTS 38 2.7 THE PRODUCT OF VECTORS 40 2.8 THE SCALAR
PRODUCT 41 2.9 THE VECTOR PRODUCT 42 2.10 THE TRIPLE SCALAR PRODUCT 46
2.11 THE TRIPLE VECTOR PRODUCT 47 2.12 VECTOR FUNCTION OF A SCALAR 49
2.13! DIFFERENTIATION WITH RESPECT TO A SCALAR VARIABLE 50 2.14
DIFFERENTIATION RULES 51 2.15 THE GRADIENT OF A SCALAR FUNCTION 52 2.16
THE DOT PRODUCT OF A VECTOR WITH THE OPERATION V 56 XI XII CONTENTS 2.17
THE CROSS PRODUCT OF A VECTOR AND THE OPERATOR V 56 2.18 THE DIVERGENCE
OF A VECTOR 57 2.19 THE CURL OF A VECTOR 59 2.20 INVARIANCE OF THE
VECTOR OPERATOR .. .. .. .. .. .. 61 2.21 CONDITION FOR A VECTOR TO BE
THE GRADIENT OF A SCALAR FUNCTION .. .. 62 2.22 THE LINE INTEGRAL 62
2.23 ORIENTED SURFACE 63 2.24 STOKES THEOREM*LINE AND SURFACE INTEGRALS
.. 64 2.25 THE DIVERGENCE THEOREM*GAUSS S THEOREM 66 2.26 CONSEQUENCES
OF GAUSS S THEOREM 68 2.27 THE INDEFINITE OF DYADIC PRODUCT 69 3 STATICS
3.1 STATIC EQUILIBRIUM 74 3.2 CONCEPT OF FORCES ACTING ON FLUID BODIES
.. .. .. .. .. 75 3.3 SURFACE FORCES ON A BODY 76 3.4 THE STRESS VECTOR
ON ANY ARBITRARY SURFACE .. .. .. .. .. 78 3.5 THE CONCEPT OF PRESSURE
80 3.6 THE HYDROSTATIC EQUATION 80 3.7 STABILITY OF STATIC EQUILIBRIUM
86 3.8 EQUILIBRIUM OF THE ATMOSPHERE .. .. .. .. .. .. .. 87 3.9
THERMODYNAMIC EQUILIBRIUM OF A GAS .. .. .. .. .. .. 88 3.10 THE
POLYTROPIC ATMOSPHERE 89 3.11 STABILITY OF THE ATMOSPHERE 91 3.12 THE
ISOTHERMAL ATMOSPHERE . 93 3.13 FORCES ON SUBMERGED SURFACES .. .. 95
3.14 BUOYANT FORCES ON SUBMERGED BODIES 104 3.15 FLOATING
BODIES*METACENTER AND METACENTRIC HEIGHT 104 3.16 THE PERIOD OF ROLLING
108 3.17 SURFACE TENSION 109 3.18 CONTOUR OF A LIQUID INTERFACE UNDER
THE ACTION OF GRAVITY 112 3.19 THE CAPILLARY COLUMN IN A NARROW
CYLINDRICAL TUBE 115 3.20 EQUILIBRIUM OF A HANGING DROP 116 3.21
EQUILIBRIUM OF A DROP ON A FLAT SOLID SURFACE .. 118 4 KINEMATICS OF
FLUIDS 4.1 INTRODUCTION .. .. .. .. .. .. .. .. .. 122 4.2
CLASSIFICATION OF TYPES OF MOTION .. 123 4.3 STEADY AND UNSTEADY MOTION
125 4.4 UNIFORM FLOW. ONE-, TWO-, THREE-DIMENSIONAL FLOW 126 4.5
GEOMETRY OF THE RATE OF DEFORMATION FIELD 127 4.6 THE CONCEPT OF FLUID
ROTATION AND RATE OF STRAIN .. 132 4.7 THE TIME RATE OF CHANGE 138 4.8
THE ACCELERATION 142 4.9 THE VORTICITY AND ITS KINEMATICAL RELATIONS ..
* 146 4.10 THE EULERIAN ACCELERATION IN TERMS OF THE VORTICITY 157 4.11
THE SYSTEM AND CONTROL VOLUME*LAGRANGIAN AND EULERIAN VIEWPOINTS*
CONSERVATION OF MASS 160 4.12 PATHLINE, STREAMLINE, AND STREAKLINE 164
CONTENTS 4.13 STREAM FILAMENT, STREAM TUBE, AND STREAM SURFACE .. .. ..
.. 169 4.14 THE STREAM FUNCTION 171 4.15 STAGNATION
STREAMLINE*STAGNATION POINT 174 4.16 THE TIME RATE OF CHANGE OF
VORTICITY*PERMANENCE OF VORTICITY .. .. 175 4.17 THE MOTION OF A FLUID
REFERRED TO MOVING COORDINATES* RELATIVE MOTION .. 179 4.18 SOURCES AND
VORTICES 188 5 GENERAL PRINCIPLES OF FLUID DYNAMICS 5.1 INTRODUCTION 194
5.2 DYNAMICAL EQUATION*D ALEMBERT S EQUILIBRIUM 195 5.3 STRESS-RATE OF
DEFORMATION RELATIONSHIP*NEWTON S VISCOSITY POSTULATE .. 200 5.4 SPECIAL
FORMS OF THE EQUATION OF MOTION 205 5.5 THE EQUATION OF MOTION IN
VORTICITY FORM .. .. .. .. .. 207 5.6 THE EQUATION OF MOTION IN TERMS OF
THE STREAM FUNCTION .. .. .. 211 5.7 NEWTON S SECOND LAW APPLIED TO A
CONTROL VOLUME*LINEAR MOMENTUM .. 212 5.8 THE LINEAR MOMENTUM IN MOVING
COORDINATES .. .. .. .. .. 220 5.9 MOMENT OF MOMENTUM*ANGULAR MOMENTUM
.. .. .. .. 222 5.10 APPLICATION OF ANGULAR MOMENTUM TO TURBOMACHINES ..
.. .. 224 5.11 BOUNDARY CONDITIONS .. 224 5.12 SIMILARITY IN FLUID
MOTION 225 5.13 FORCES ON IMMERSED BODIES .. .. .. .. .. .. .. 231 6
ENERGY CONSIDERATIONS 6.1 INTRODUCTION 236 6.2 THE MECHANICAL POWER
EQUATION 237 6.3 THE THERMODYNAMIC RATE OF ENERGY TRANSFER .. .. 245 6.4
THE HEAT EQUATION 249 6.5 NATURAL CONVECTION OWING TO TEMPERATURE
GRADIENTS .. .. .. .. 253 6.6 SIMILARITY IN THE ENERGY TRANSFER .. .. ..
.. .. .. .. 256 6.7 SIMILARITY IN HEAT AND VORTICITY TRANSFER .. 264 7
DYNAMICS OF AN INVISCID FLUID 7.1 FRICTIONLESS MOTION .. .. .. .. ..
.. .. .. 266 7.2 GENERAL CONSIDERATIONS 266 7.3 DYNAMICAL PRINCIPLES 267
7.4 THE STREAM FUNCTION AND THE POTENTIAL FUNCTION IN AN INVISCID MOTION
.. 269 7.5 THE BOUNDARY CONDITIONS 271 7.6 SPECIAL FORMS OF EULER S
EQUATION AND ITS INTEGRATION .. .. .. 272 7.7 THE MECHANICAL ENERGY
EQUATION .. .. .. .. .. .. 277 7.8 THE TIME RATE OF CHANGE OF VORTICITY
AND CIRCULATION IN AN INVISCID FLUID 280 7.9 FORCES ON IMMERSED BODIES
282 7.10 METHOD OF SOURCES, SINKS, AND VORTICES IN SOLUTIONS OF INVISCID
FLOWS .. 278 7.11 THE POINT SOURCE 286 7.12 SUPERPOSITION OF POINT
SOURCES ON A FINITE LINE SEGMENT 290 CONTENTS 7.13 THE TWO-DIMENSIONAL
RECTILINEAR SOURCE. THE LINE SOURCE .. .. 294 7.14 FLOW FROM TWO LINE
SOURCES 295 7.15 A LINE SOURCE NEAR AWALL 298 7.16 A LINE SOURCE AND A
LINE SINK PLACED AT A FINITE DISTANCE APART .. .. 301 7.17 THE UNIFORM
STREAM 303 7.18 A LINE SOURCE IN A UNIFORM STREAM 304 7.19 THE POINT
SOURCE IN A UNIFORM STREAM 308 7.20 LINE SOURCE AND LINE SINK IN A
UNIFORM STREAM .. .. .. .. 311 7.21 THE POINT SOURCE AND THE POINT SINK
IN A UNIFORM STREAM 314 7.22 UNIFORM FLOW AROUND A CYLINDER .. 316 7.23
FLOW AROUND A SPHERE 320 7.24 THE FREE VORTEX 323 7.25 FLOW AROUND THE
CYLINDER WITH CIRCULATION .. .. .. .. .. 324 7.26 THE LIFT ON THE
CYLINDER, KUTTA-JOUKOWSKI S THEOREM 326 7.27 THE APPARENT OR VIRTUAL
MASS 329 7.28 METHODS OF CONFORMAL TRANSFORMATIONS IN PERFECT FLUIDS 331
7.29 ORDINARY MAPPING 332 7.30 VECTORIAL REPRESENTATION OF A COMPLEX
NUMBER 335 7.31 SOME BASIC PROPERTIES OF FUNCTIONS OF COMPLEX VARIABLES
338 7.32 SOME SIMPLE TRANSFORMATIONS 340 7.33 THE LINEAR TRANSFORM WITH
REAL COEFFICIENTS 341 7.34 LINEAR TRANSFORMS WITH COMPLEX COEFFICIENTS
341 7.35 HIGHER-ORDER TRANSFORMS 342 7.36 THE LINE DOUBLET AND THE FLOW
PAST A CYLINDER 344 7.37 THE LINE SOURCE AND VORTEX 346 7.38 THE
EXPONENTIAL TRANSFORM 348 7.39 THE FLOW WITH CIRCULATION PAST A CYLINDER
.. 350 7.40 THE JOUKOWSKI TRANSFORM AND THE FLOW PAST A FLAT PLATE 351
7.41 FLOW PAST AN ELLIPSOIDAL CYLINDER .. .. .. .. .. .. 352 7.42 THE
JOUKOWSKI AIRFOIL 357 7.43 GRAPHICAL CONSTRUCTION OF THE JOUKOWSKI
AIRFOIL .. 358 7.44 AN ANALYTIC EXAMPLE OF A JOUKOWSKI TRANSFORMATION ..
.. .. .. 361 7.45 THE FORCE ON AN AIRFOIL, BLASIUS THEOREM .. .. .. ..
.. 365 8 VORTEX MOTION 8.1 GENERAL CONSIDERATIONS .. .. .. .. .. .. ..
.. 368 8.2 THE BASIC LAWS OF VORTEX MOTION 369 8.3 THE INDUCED VELOCITY
FIELD OWING TO A VORTEX. BIOT-SAVART LAW .. .. 376 8.4 VORTEX MOTION
PAST A WING 381 8.5 THE INDUCED VELOCITY FROM THE WING-VORTEX SYSTEM 384
8.6 FORCE ON A LIFTING WING 388 8.7 THE RECTILINEAR VORTEX 392 8.8
MULTIPLE RECTILINEAR VORTICES 393 8.9 INVISCID VORTEX SYSTEMS 398 8.10
VORTEX RINGS 404 8.11 INTERACTION OF TWO VORTEX RINGS 406 8.12 THE
RECTILINEAR VORTICES IN A UNIFORM STREAM .. 407 8.13 THE VISCOUS
RECTILINEAR VORTEX 410 8.14 THE VISCOUS VORTEX STREET 414 8.15 THE
VISCOUS TRAILING VORTICES 417 8.16 VORTEX IN A COMPRESSIBLE FLOW 419
CONTENTS XV 9 ELEMENTS OF ELECTROMAGNETISM 9.1 INTRODUCTION .. 421 9.2
THE ELECTRIC FIELD IN VACUUM 421 9.3 CONDUCTORS AND DIELECTRICS 426 9.4
ELECTROSTATICS IN DIELECTRIC MEDIA .. .. .. .. .. .. .. 427 9.5
TWO-DIMENSIONAL POTENTIAL FIELD: LINES OF FORCE OR STREAMLINES .. .. 436
9.6 THE BODY FORCE IN A DIELECTRIC MATERIAL .. - 437 9.7 ELECTROSTATIC
PRESSURE IN FLUIDS 440 9.8 CONSERVATION OF CHANGES. ELECTRIC CURRENT 440
9.9 MAGNETIC FIELD FROM STEADY CURRENTS IN VACUUM 444 9.10 THE MAGNETIC
INDUCTION .. .. .. .. .. .. .. .. 446 9.11 MAGNETIC PROPERTIES OF
MATTER. MAGNETIC SUSCEPTIBILITY .. .. .. 450 9.12 LORENTZ
FORCE*FARADAY S LAW OF INDUCTION AND MAGNETIC ENERGY .. .. 451 9.13
MAGNETIC ENERGY 453 9.14 MAXWELL S FIELD EQUATIONS 455 9.15 MAXWELL S
EQUATIONS IN A MOVING MEDIUM 457 10 ESSENTIALS OF MAGNETOFLUID MECHANICS
10.1 GENERAL CONSIDERATIONS .. .. . . . . .. .. .. .. 461 10.2 THE
EQUATIONS OF MAGNETOFLUID MECHANICS 461 10.3 THE EQUATIONS OF MOTION 461
10.4 THE CONSERVATION OF MASS AND CHARGES 462 10.5 OHM S LAW 462 10.6
THE ENERGY EQUATION AND THE EQUATION OF STATE 463 10.7 ORDER OF
MAGNITUDES IN MAGNETOFLUID MECHANICS 465 10.8 SPECIAL SOLUTIONS OF
MAGNETOFLUID MECHANICS EQUATIONS .. .. .. 470 10.9 THE MAGNETIC FIELD
EQUATION IN AN ISOCHORIC FLOW .. .. .. .. 470 10.10 THE ONE-DIMENSIONAL
INVISCID, MAGNETOFLUID MOTION 473 10.11 GENERAL DISCUSSION ON SOLUTIONS
OF THE ONE-DIMENSIONAL PROBLEM .. .. 476 10.12 SPECIFIC APPLICATIONS OF
ONE-DIMENSIONAL FLOWS. COUETTE FLOW .. .. 479 10.13 THE SLIPPER BEARING
IN MAGNETOFLUIDS 481 10.14 POISEUILLE FLOW .. 483 10.15 THE
TWO-DIMENSIONAL LAMINAR BOUNDARY LAYER ... .. .. .. 485 INDEX 493
|
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| id | DE-604.BV007098286 |
| illustrated | Illustrated |
| indexdate | 2024-07-09T16:55:30Z |
| institution | BVB |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-004517202 |
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| owner_facet | DE-355 DE-BY-UBR DE-19 DE-BY-UBM DE-91 DE-BY-TUM DE-83 DE-188 DE-210 |
| physical | XVII, 499 S. Ill., graph. Darst. 25 cm |
| psigel | TUB-nveb |
| publishDate | 1967 |
| publishDateSearch | 1967 |
| publishDateSort | 1967 |
| publisher | Acad. Pr. |
| record_format | marc |
| spelling | Eskinazi, Salamon 1922- Verfasser (DE-588)140442510 aut Vector mechanics of fluids and magnetofluids Salamon Eskinazi New York [u.a.] Acad. Pr. 1967 XVII, 499 S. Ill., graph. Darst. 25 cm txt rdacontent n rdamedia nc rdacarrier Analyse vectorielle Fluides, Mécanique des Magnétohydrodynamique Vloeistofmechanica gtt Fluid mechanics Magnetohydrodynamics Vector analysis Flüssigkeit (DE-588)4017621-6 gnd rswk-swf Vektor (DE-588)4202708-1 gnd rswk-swf Flüssigkeit (DE-588)4017621-6 s Vektor (DE-588)4202708-1 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=004517202&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Eskinazi, Salamon 1922- Vector mechanics of fluids and magnetofluids Analyse vectorielle Fluides, Mécanique des Magnétohydrodynamique Vloeistofmechanica gtt Fluid mechanics Magnetohydrodynamics Vector analysis Flüssigkeit (DE-588)4017621-6 gnd Vektor (DE-588)4202708-1 gnd |
| subject_GND | (DE-588)4017621-6 (DE-588)4202708-1 |
| title | Vector mechanics of fluids and magnetofluids |
| title_auth | Vector mechanics of fluids and magnetofluids |
| title_exact_search | Vector mechanics of fluids and magnetofluids |
| title_full | Vector mechanics of fluids and magnetofluids Salamon Eskinazi |
| title_fullStr | Vector mechanics of fluids and magnetofluids Salamon Eskinazi |
| title_full_unstemmed | Vector mechanics of fluids and magnetofluids Salamon Eskinazi |
| title_short | Vector mechanics of fluids and magnetofluids |
| title_sort | vector mechanics of fluids and magnetofluids |
| topic | Analyse vectorielle Fluides, Mécanique des Magnétohydrodynamique Vloeistofmechanica gtt Fluid mechanics Magnetohydrodynamics Vector analysis Flüssigkeit (DE-588)4017621-6 gnd Vektor (DE-588)4202708-1 gnd |
| topic_facet | Analyse vectorielle Fluides, Mécanique des Magnétohydrodynamique Vloeistofmechanica Fluid mechanics Magnetohydrodynamics Vector analysis Flüssigkeit Vektor |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=004517202&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| work_keys_str_mv | AT eskinazisalamon vectormechanicsoffluidsandmagnetofluids |