Theory of Jets in Ideal Fluids

PrefaceTranslators' PrefaceAuthor's Preface to the English EditionI. Introduction to the Theory of Plane, Steady Jet Flows A. Some Information on Kinematics B. A Remark About the Symmetry Principle C. Basic Assumptions D. Kirchhoff's Method E. Zhukovskii's Method F. Chaplygin's Singular-Point MethodII. Flow from a Vessel A. Flow from a Vessel with Oblique Walls B. Symmetric Orifice in a Rectangular Vessel C. Flow from the Opening Between Two Flat Plates D. Vessel with a Funnel-Shaped Bottom and Borda's Nozzle E. Lateral Flow from a Channel F. Flow from a Rectangular Vessel with an Orifice at a CornerIII. Infinite Flow Past a Polygonal Obstacle A. Flow Around a Wedge B. Jet Flow Around a Plate with a Stagnation Region in Front of It C. Flow Past a Plate with a Separation from Its Upper Surface D. Criticism of Jet TheoryIV. Flow Around Curvilinear Obstacles A. Levi-Civita's Method B. Flow Around a Circular Cylinder C. Villat's Integro-Differential Equation and the Existence and Uniqueness of the Solution D. Sedov's Method E. The Inverse ProblemV. Flow Around a Body at Small Cavitation Number A. Cavitation B. Cavitating Flow Around a Flat Plate C. Symmetric Cavitating Flow Around a Wedge D. Cavitating Flow Around a Circular Cylinder E. Cavitating Flow Around a Thin Profile at an Arbitrary Angle of AttackVI. Flow of Limited Jets Around Obstacles A. Flow Around a Wedge in a Jet of Finite Width B. Flow Around a Flat Plate in the Presence of a Wall C. Cascade Flow D. A Cylinder Between Two Walls E. Symmetric Cavitating Flow Around a Wedge in a Channel F. Cavitating Cascade FlowVII. Planing Surfaces and Hydrofoils A. Phenomenon of Planing--The Planing Flat Plate B. Planing Over the Surface of a Fluid of Finite Depth--Tandem Flat Plates C. Hydrofoils Beneath a Free SurfaceVIII. Various Free-Jet Problems A. Collision of Jets. Hollow Charges and Armor-Piercing Jets B. Jet Flows with Singularities in the Region Occupied by the Fluid C. Other ProblemsIX. Unsteady Flows A. Flat Plate in an Accelerated Flow B. Motion of a Streamlined Contour in a Separated Flow C. Weakly Perturbed Jet Flow D. Surface Impact of a WedgeX. Jet Flow of Compressible Fluid A. Chaplygin's Equation for Two-Dimensional Steady Flow of a Gas B. Exact Solutions to Chaplygin's Equation for Subsonic Flow C. Chaplygin's Approximate Method D. A Survey of Extensions of Chaplygin's Approximate MethodXI. Axisymmetric Flow A. Problem Statement and Approximate Methods of Solution B. A Survey of References on Axisymmetric Jet Flows C. The Asymptotic Law of Jet Shape with ApplicationsXII. Flow of a Heavy Fluid and the Effects of Surface Tension A. Exact Solutions B. The Influence of Surface Tension on Free Surface Flows C. Approximate Solutions for Heavy Fluid FlowsReferencesSubject Index