The Genesis of Fluid Mechanics 1640-1780

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Springer Science & Business Media, 19 de març 2008 - 518 pàgines

Fluid Mechanics, as a scientific discipline in a modern sense, was established between the last third of the 17th century and the first half of the 18th one. This book analyses its genesis, following its evolution along two basic lines of research, which have been named the “problem of resistance” and the “problem of discharge”. This approach highlights the existence of a remarkable experimental aspect in the aforementioned research lines, together with their link with problems of a practical nature, such as ballistics, hydraulics, fluid-using machines or naval theory. On the other hand, although previous studies usually present fluid mechanics from the point of view of mathematics, this is complemented here by an engineering viewpoint; gathering attempts made in the beginnings of fluid mechanics to see if the theory was capable of productive application in practical terms. This is nothing unusual in a time where the quality of knowledge and skill is measured largely by its usefulness.

(c) Universidad Nacional de Education a Distancia, La Génesis de la Mecanica de los Fluidos (1640-1780) ISBN 84-362-3439-1

 

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Continguts

THE PROBLEM OF RESISTANCE
46
THE FORERUNNERS OF IMPACT THEORY HUYGENS AND MARIOTTE
56
HUYGENS AND HIS EXPERIMENTS
58
MARIOTTE AND THE THEORY OF JETS
65
EXPERIMENT OF A JET AGAINST A PLANE
72
IMPACT THEORY FORMULATION AND FORMALISATION
74
THE CONCEPT OF FLUIDS IN THE PRINCIPIA
77
MOTION OF PENDULUMS
82
DISCHARGE FROM VESSELS AND TANKS
272
THE WORK OF THE PARIS ACADEMY
274
DOMINICO GUGLIELMINI
276
MARIOTTES EXPERIMENTS
279
DISCHARGE IN NEWTON
283
GIOVANNI POLENI
284
THE HYDRODYNAMICA AND THE HYDRAULICA
294
THE BASIC PRINCIPLES OF THE HYDRODYNAMICA
299

RESISTANCE IN AERIFORM FLUIDS
90
AQUIFORM FLUIDS I
96
AQUIFORM FLUIDS II
100
EXPERIMENTAL RESULTS
108
FINAL COMMENTS ON THE PRINCIPIA
112
THE FORMILISATION OF IMPACT THEORY
114
THE APPROACH OF JAKOB BERNOULLI
115
THE SOLID OF MINIMUM RESISTANCE
123
THE SITUATION IN 1714
125
THE EVOLUTION OF THE PROBLEM OF RESISTANCE
126
JOHANN BERNOULLI AND THE COMMUNICATION OF MOTION
129
THEORIES AND EXPERIMENTS OF DANIEL BERNOULLI
133
JET AGAINST A PLATE DANIEL BERNOULLIS CLARIFICATIONS
138
THE NAVAL WORK OF PIERE BOUGUER
144
EULERS SCIENTIA NAVALIS
146
ROBINS NEW PRINCIPLES OF GUNNERY
150
EULERS STREAMLINE MODEL
159
DALEMBERTS PARADOX
168
OTHER WORKS OF EULER
176
THE THEORY OF JORGE JUAN
183
EXPERIMENTS ON RESISTANCE
186
THE EXPERIMENTERS
187
THE EXPERIMENTS OF BORDA
188
SQUARE PLATES
191
PRISMS
193
SPHERES AND HEMISPHERES
194
ROTATING ARM IN WATER
195
CHAPMANS EXPEIMENTS
198
THE EXPERIMENTS OF BOSSUT
203
PROPORTIONALITY WITH THE SQUARE OF THE VELOCITY
208
PROPORTIONALITY WITH THE SURFACE
209
PROPORTIONALITY WITH THE SQUARE OF THE SINE
210
FLUIDDRIVEN MACHINES AND NAVAL THEORIES
216
THE FUNCTIONING PRINCIPLES OF THE MACHINES
218
PARENTS STUDIES
222
PITOTS WORKS
224
THE STUDIES OF BOSSUT AND OTHERS
227
SMEATONS EXPERIMENTS
229
WINDMILLS IN EULER
238
NAVAL APPLICATIONS
243
THE FORCES IN THE HULL
247
FORCE IN SAILS
255
PART II
267
THE PROBLEM OF DISCHARGE
268
MOTION THROUGH TUBES IN THE HYDRODYNAMICA
305
HYDRAULICOSTATICS
315
THE DISCHARGE OF ELASTIC FLUIDS
321
JOHANN BERNOULLIS HYDRAULICA
327
DALEMBERTS ACCOUNT OF MOTION IN TUBES
339
BY WAY OF SUMMARY
353
THEORETICAL CONSTRUCTIONS I CLAIRAUT AND DALEMBERT
356
THE SHAPE OF THE EARTH
359
CLAIRUTS EQUILIBRIUM CONDITONS
361
GENERALISATIONS
369
DALEMBERT
372
PRINCIPLES OF DYNAMICS AND HYDROSTATICS
375
BODIES IN FLOWING CURRENTS
379
SOLUTION USING LATERAL FORCES
382
SOLUTION BY CONSTANCY OF VOLUME
387
BODIES MOVING IN A STATIONARY FLUID
396
DALEMBERTS CONTRIBUTIONS
401
THEORETICAL CONSTRUCTIONS II CLAIRUT AND D ALEMBERT
402
PRINCIPIA MOTUS FLUIDORUM
403
GENERAL PRINCIPLES OF THE STATE OF EQUILIBRIUM OF THE FLUIDS
420
GENERAL PRINCIPLES OF THE MOTION OF FLUIDS
427
SEQUEL TO THE RESEARCHES ON THE MOTIONS OF FLUIDS
436
EULERS CONTRIBUTION
445
LAGRANGES PAPER ON FLUIDS
446
APPLICATION OF FLUID MECHANICS TO PUMPS AND TURBINES
454
THE HYDRAULIC PUMP
455
PITOTS THEORY OF PUMPS
457
PUMPS IN EULERS WORKS
463
BORDAS STUDIES
467
DANIEL BERNOULLI ON JET PROPULSION
470
SEGNERS TURBINE
473
EULERS ANALYSES
476
PRESSURE IN THE TUBE
478
TURNING TORQUE
481
TANK HEIGHT
482
PITOTS TUBE
491
HYDRAULIC MACHINES
493
APPENDIX
494
BIBLIOGRAPHY
498
PERIODICAL PUBLICATIONS COLLECTIONS AND COMPLETED WORKS
506
SECONDARY SOURCES
507
DRAMATIS PERSONÆ
512
INDEX
514
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