Gurevich / Kahane / Robertson The Theory of Jets in an Ideal Fluid

1. Auflage 2014
ISBN: 978-1-4831-8582-8
Verlag: Elsevier Science & Techn.
Format: PDF
Kopierschutz: 1 - PDF Watermark

E-Book, Englisch, Band Volume 93, 420 Seiten, Web PDF

Reihe: International Series in Pure and Applied Mathematics

Pure and Applied Mathematics, Volume 39: The Theory of Jets in an Ideal Fluid provides a general idea of the theory of jets. This book serves as an introduction to the classical problems in the theory and provides some knowledge of the fundamentals of hydromechanics. Organized into 12 chapters, this volume begins with an overview of the theory of plane, steady flow of an ideal, incompressible fluid. This text then examines the jet flow of an unbounded current about a flat plate, placed perpendicular to the flow. Other chapters consider a number of problems involving the plane flow of fluid out of vessels. This book discusses as well the physical importance of Brillouin's condition and also the problem of cavitational flow. The final chapter deals with the flows of weightless fluid in order to know the effect of surface tension forces. This book is a valuable resource for marine and hydraulic engineers.

Autoren/Hrsg.

Gurevich, M. I.

Kahane, J. P.

Robertson, A. P.

Ulam, S.

Inhaltsverzeichnis

1;Front Cover;1
2;The Theory of Jets in an Ideal Fluid;4
3;Copyright Page;5
4;Table of Contents;6
5;FOREWORD;8
6;CHAPTER I. INTRODUCTION TO THE THEORY OF JETS IN PLANE STEADY FLOWS;10
6.1;1. ON THE KINEMATICS OF PLANE FLOWS;10
6.2;2. BASIC CONCEPTS OF THE THEORY OF JETS;16
6.3;3. KIRCHHOFF'S METHOD;18
6.4;4. JOUKOVSKII'S METHOD;25
6.5;5. CHAPLYGIN'S METHOD OF SPECIAL POINTS;39
7;CHAPTER II: FLOW FROM VESSELS;46
7.1;6. FLOW FROM VESSELS WITH OBLIQUE WALLS;46
7.2;7. SYMMETRICAL ORIFICE IN A RECTANGULAR VESSEL;51
7.3;8. FLOW FROM A SLIT BETWEEN Two PLANES;54
7.4;9. VESSEL WITH FUNNEL-SHAPED BASE AND BORDA'S MOUTHPIECE;56
7.5;10. LATERAL FLOW FROM A CHANNEL;61
7.6;11. FLOW FROM A RECTANGULAR VESSEL WITH AN ORIFICE BELOW AND AT THE SIDE;68
8;CHAPTER III. FLOW OF AN UNBOUNDED CURRENT PAST POLYGONAL OBSTACLES;74
8.1;12. FLOW ABOUT A WEDGE;74
8.2;13. JET-FLOW ABOUT A PLATE WITH THE FORMATION OF A FRONTAL STAGNATION POINT;85
8.3;14. FLOW ABOUT A PLATE WITH SEPARATION OF JETS FROM ITS UPPER SURFACE;91
8.4;15. CRITICISM OF THE THEORY OF JET-FLOW;98
9;CHAPTER IV. FLOW PAST CURVILINEAR OBSTACLES;100
9.1;16. LEVI-CIVITA'S METHOD;100
9.2;17. FLOW ABOUT A CIRCULAR CYLINDER;108
9.3;18. VILLAT'S INTEGRO-DIFFERENTIAL EQUATION. EXISTENCE AND UNIQUENESS OF SOLUTION;119
9.4;19. SEDOV'S METHOD;128
9.5;20. THE INVERSE PROBLEM;132
10;CHAPTER V. FLOW PAST BODIES WITH LOW CAVITATION NUMBERS;134
10.1;21. PHENOMENON OF CAVITATION;134
10.2;22. CAVITATIONAL FLOW PAST A PLATE;142
10.3;23. SYMMETRICAL CAVITATIONAL FLOW PAST A WEDGE;154
10.4;24. CAVITATIONAL FLOW PAST A CIRCULAR CYLINDER;163
10.5;25. CAVITATIONAL FLOW PAST A THIN PROFILE WITH ARBITRARY ANGLE OF ATTACK;170
11;CHAPTER VI. FLOW PAST OBSTACLES BY BOUNDED CURRENTS;179
11.1;26. FLOW PAST A WEDGE BY A CURRENT OF FINITE WIDTH;179
11.2;27. FLOW PAST A PLATE IN THE PRESENCE OF A WALL;193
11.3;28. FLOW PAST A GRATING;201
11.4;29. CYLINDER BETWEEN TWO WALLS;210
11.5;30. SYMMETRICAL CAVITATIONAL FLOW PAST A WEDGE IN A CHANNEL;218
11.6;31. CAVITATIONAL FLOW PAST A GRATING;225
12;CHAPTER VII. PLANING SURFACES AND SUBMERGED HYDROFOILS;231
12.1;32. PHENOMENON OF PLANING. THE PLANING PLATE;231
12.2;33. PLANING ALONG THE SURFACE OF A FLUID OF FINITE DEPTH. PLATES PLACED ONE BEHIND ANOTHER;236
12.3;34. SUBMERGED HYDROFOIL;244
13;CHAPTER VIII. VARIOUS PROBLEMS CONCERNING FREE FLOWS;257
13.1;35. IMPINGING JETS. CUMULATIVE CHARGES. PIERCING OF ARMOUR-PLATING BY A JET;257
13.2;36. JET-FLOWS WITH SINGULARITIES INSIDE THE REGION OCCUPIED BY THE FLUID;267
13.3;37. VARIOUS PROBLEMS IN THE THEORY OF JET-FLOW;275
14;CHAPTER IX. UNSTEADY FLOWS;286
14.1;38. FLAT PLATE IN AN ACCELERATED CURRENT;286
14.2;39. IMPACT OF A CONTOUR IN A FLOW WITH JET BREAK-AWAY;292
14.3;40. SLIGHTLY PERTURBED JET-FLOWS;298
14.4;41. SUBMERSION OF A WEDGE;315
15;CHAPTER X. JET-FLOWS IN A COMPRESSIBLE FLUID;324
15.1;42. CHAPLYGIN'S EQUATIONS FOR A PLANE STEADY GAS-FLOW;324
15.2;43. ACCURATE SOLUTIONS TO CHAPLYGIN'S EQUATIONS FOR SUBSONIC FLOW;327
15.3;44. CHAPLYGIN'S APPROXIMATE METHOD;343
15.4;45. SOME GENERALIZATIONS OF CHAPLYGIN'S APPROXIMATE METHOD;352
15.5;CHAPTER XI. AXISYMMETRIC FLOWS;359
15.6;46. STATEMENT OF THE PROBLEM AND APPROXIMATE METHODS OF SOLUTION;359
15.7;47. FURTHER AXISYMMETRIC JET-FLOWS;368
15.8;48. ASYMPTOTIC LAW OF JET-EXPANSION;372
16;CHAPTER XII. JET-FLOW IN A HEAVY FLUID. EFFECT OF SURFACE TENSION;385
16.1;49. EXACT SOLUTIONS;385
16.2;50. EFFECT OF SURFACE TENSION;391
16.3;51. APPROXIMATE SOLUTIONS FOR A HEAVY FLUID;393
17;BIBLIOGRAPHY;404
18;INDEX;416
19;OTHER TITLES IN THE SERIES IN PURE AND APPLIED MATHEMATICS;421