Topic
Flow (mathematics)
About: Flow (mathematics) is a research topic. Over the lifetime, 61799 publications have been published within this topic receiving 1113496 citations.
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TL;DR: In this article, a generalized flow regime map based on this theory is presented, which is used for determining flow regime transitions in two-phase gas-liquid flow, and the mechanisms for transition are based on physical concepts and are fully predictive.
Abstract: Models are presented for determining flow regime transitions in two-phase gas-liquid flow. The mechanisms for transition are based on physical concepts and are fully predictive in that no flow regime transitions are used in their development. A generalized flow regime map based on this theory is presented.
2,420 citations
Book•
12 Feb 2001TL;DR: In this article, the basic principles of specific energy, momentum, uniform flow, and uniform flow in alluvial channels are discussed, as well as simplified methods of flow routing.
Abstract: Chapter 1 Basic Principles Chapter 2 Specific Energy Chapter 3 Momentum Chapter 4 Uniform Flow Chapter 5 Gradually Varied Flow Chapter 6 Hydraulic Structures Chapter 7 Governing Equations of Unsteady Flow Chapter 8 Numerical Solution of the Unsteady Flow Equations Chapter 9 Simplified Methods of Flow Routing Chapter 10 Flow in Alluvial Channels
2,397 citations
Book•
01 Jan 1953
TL;DR: In this paper, the Hodograph Method for Two-Dimensional, Subsonic Flow with Small Perturbations is used to describe the dynamics of two-dimensional and three-dimensional flow.
Abstract: Partial table of contents: BACKGROUND. Foundations of Fluid Dynamics. Foundations of Thermodynamics. ONE--DIMENSIONAL FLOW. Isentropic Flow. Normal Shock Waves. Flow in Ducts with Heating or Cooling. INTRODUCTION TO FLOW IN TWO AND THREE DIMENSIONS. The Equations of Motion for Steady, Irrotational Flow. SUBSONIC FLOW. Hodograph Method for Two--Dimensional, Subsonic Flow. Three--Dimensional, Subsonic Flow. SUPERSONIC FLOW. Two--Dimensional, Supersonic Flow with Small Perturbations. Oblique Shocks. Appendices. Index.
2,243 citations
TL;DR: The level set method is couple to a wide variety of problems involving external physics, such as compressible and incompressible flow, Stefan problems, kinetic crystal growth, epitaxial growth of thin films, vortex-dominated flows, and extensions to multiphase motion.
2,174 citations
Book•
01 May 1989
TL;DR: In this article, the authors present a list of frequently used symbols for chaotic flows and their application in different types of chaotic flows, such as mixing and chaos in two-dimensional time-periodic flows, three-dimensional and open flows, and Hamiltonian systems.
Abstract: Preface Acknowledgments 1. Introduction 2. Flow, trajectories and deformation 3. Conservation equations, change of frame, and vorticity 4. Computation of stretching and efficiency 5. Chaos in dynamical systems 6. Chaos in Hamiltonian systems 7. Mixing and chaos in two-dimensional time-periodic flows 8. Mixing and chaos in three-dimensional and open flows 9. Epilogue: diffusion and reaction in lamellar structures and microstructures in chaotic flows Appendix List of frequently used symbols References Author index Subject index.
2,107 citations