Lothar Birk · 2019
This chapter discusses a number of flow conditions, where the authors treat the fluid as inviscid, i.e. they set its kinematic viscosity to zero. This assumption leads to many practical solutions in fluid mechanics. The hypothetical inviscid fluid is also known as ideal fluid. After defining the Euler equations, the chapter derives the important Bernoulli equation for a streamline. It connects pressure and flow velocity and is widely used in fluid mechanics. Later, the chapter derives more specific forms of the Bernoulli equation for specific flow types. The Bernoulli equation is an important tool in the evaluation of flow properties. In general, a fluid element will change position and shape in four different ways: translation, stretching (linear deformation), rotation, and shearing (angular deformation). For better visualization, the authors momentarily restrict themselves to planar (two-dimensional) flow. The chapter explains the concepts of rotation, vorticity, and circulation.
Cited by 0
2015
Cited by 0
Clive Fletcher · 1988
Cited by 0
Yu. V. Polezhaev, I. V. Chircov · A-to-Z Guide to Thermodynamics Heat and Mass Transfer and Fluids Engineering · 2008
Cited by 0
H. K. Versteeg · Flow Measurement and Instrumentation · 2002
Cited by 22
Vít Dolejší, Miloslav Feistauer · Springer series in computational mathematics · 2015
Cited by 2
James P. Vanyo · Elsevier eBooks · 1993
Cited by 1
Defense Technical Information Center (DTIC) · 1971
This bibliography provides selected references in the subject area of Inviscid Flow. The citations are based on theoretical, actual, and experimental data and conditions to which inviscid flow concepts can be applied. Corporate author-monitoring agency, subject, title, personal author, contract, and report number indexes are provided.
Cited by 0
Richard Fitzpatrick · 2017
Cited by 0
A-to-Z Guide to Thermodynamics Heat and Mass Transfer and Fluids Engineering · 2008
Cited by 0
Hongwei Wang · Cambridge University Press eBooks · 2023
This chapter introduces inviscid flow and potential flow method. Characteristics of inviscid flow is introduced and the rationality of neglecting viscosity in many actual flow cases is discussed. Then the characteristics of rotational flow for inviscid flow is discussed. The three factors that may cause a fluid to change from irrotational to rotational are enumerated and explained, namely the viscous force, baroclinic flow, and non-conservative body force. For irrotational flow, velocity potential is introduced and several elementary flows are taken as an example to illustrate the computational methods for planar potential flow theory. In the end, complex potential is briefly introduced.
Cited by 0
Elsevier eBooks · 2013
Cited by 0
John L. Hess, Kunio Kuwahara, Manuel D. Salas et al. · 1996
Cited by 0
Elsevier eBooks · 2005
Cited by 0
Volker Elling, Joseph Roberts · arXiv (Cornell University) · 2011
We consider solutions of the 2-d compressible Euler equations that are steady and self-similar. They arise naturally at interaction points in genuinely multi-dimensional flow. We characterize the possible solutions in the class of flows L^\infty-close to a constant supersonic background. As a special case we prove that solutions of 1-d Riemann problems are unique in the class of small L^\infty functions. We also show that solutions of the backward-in-time Riemann problem are necessarily BV.
Cited by 1Open access
W Hayes · Journal of Applied Mathematics and Mechanics · 1964
Cited by 1
T. C. Lin, Jia Zhenxue · Proceedings of the Indian Academy of Sciences Section C Engineering Sciences · 1981
Cited by 2
Joseph Katz, Allen Plotkin · Cambridge University Press eBooks · 2001
In Chapter 1 it was established that for flows at high Reynolds number the effects of viscosity are effectively confined to thin boundary layers and thin wakes. For this reason our study of low-speed aerodynamics will be limited to flows outside these limited regions where the flow is assumed to be inviscid and incompressible. To develop the mathematical equations that govern these flows and the tools that we will need to solve the equations it is necessary to study rotation in the fluid and to demonstrate its relationship to the effects of viscosity.
Cited by 4
Larry A. Glasgow · Transport Phenomena · 2010
This chapter contains sections titled: Introduction Two-Dimensional Potential Flow Numerical Solution of Potential Flow Problems Conclusion References
Cited by 0
Richard Fitzpatrick · 2017
Cited by 0