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OPtimum design for potential flows
International Journal for Numerical Methods in Fluids, 1983AbstractDescribed in this paper is a methodology for solving a particular class of optimum design problems in Fluid Mechanics, namely optimum design problems for aerofoils when the corresponding fluid flow is potential. The methods described in this paper operate directly in the physical space, and take advantage of the variational formulation of the ...
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Potential flow, viscous flow and compressible flow
1992Abstract At the close of Chapter 16 the Navier-Stokes, continuity, and thermal energy equations for fluid flow were introduced. The present chapter presents finite element formulations for a wide range of fluid flow problems governed by these equations. Of particular interest are the uvp or primitive variable formulations for Stokes flow.
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Potential Flow and Slightly Viscous Flow
1979The goal of this chapter is to present a deeper study of the relationship between viscous and nonviscous flows. We begin with a more detailed study of inviscid irrotational flows, that is, potential flows. Then we go on to study boundary layers, where the main difference between slightly viscous and inviscid flows originates.
A. J. Chorin, J. E. Marsden
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On the Stationary, Potential, Subsonic Flow
Results in Mathematics, 2000Summary: We are concerned with the problem of the stationary, potential, subsonic flow. Firstly, we formulate the mechanical problem and the associated minimization problem with constraints, in a functional space \(W\) endowed with a certain norm. Section 2 contains the main original results.
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2010
As discussed in Chapter 4, generally the motion of fluids encountered in engineering applications is described by the Navier-Stokes equations. Considering today’s computational fluid dynamics capabilities, it is possible to numerically solve the Navier- Stokes equations for laminar flows (no turbulent fluctuations), transitional flows (using ...
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As discussed in Chapter 4, generally the motion of fluids encountered in engineering applications is described by the Navier-Stokes equations. Considering today’s computational fluid dynamics capabilities, it is possible to numerically solve the Navier- Stokes equations for laminar flows (no turbulent fluctuations), transitional flows (using ...
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Journal of Wind Engineering and Industrial Aerodynamics, 1993
Abstract Potential flow in 2D circular-arc elbows, accelerating elbows and constant-area elbows (similar to radial turbomachine flow channels) is solved by numerical methods. For circular-arc elbows, a formula is obtained which predicts velocities at mid-turn. For other locations, it is shown that velocity distributions can be collapsed into a single
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Abstract Potential flow in 2D circular-arc elbows, accelerating elbows and constant-area elbows (similar to radial turbomachine flow channels) is solved by numerical methods. For circular-arc elbows, a formula is obtained which predicts velocities at mid-turn. For other locations, it is shown that velocity distributions can be collapsed into a single
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