Topic
Circulation (fluid dynamics)
About: Circulation (fluid dynamics) is a research topic. Over the lifetime, 1483 publications have been published within this topic receiving 23255 citations.
Papers published on a yearly basis
1 / 3
Papers
TL;DR: In this article, an analytic approach is made to a frontogenesis model based on the classic horizontal deformation field, which is solved exactly for a Boussinesq, uniform potential vorticity fluid.
Abstract: The approximation of geostrophic balance across a front is studied. Making this approximation, an analytic approach is made to a frontogenesis model based on the classic horizontal deformation field. Kelvin's circulation theorem suggests the introduction of a new independent variable in the cross-front direction. The problem is solved exactly for a Boussinesq, uniform potential vorticity fluid. Non-Boussinesq, non-uniform potential vorticity, latent heat, and surface friction effects are all studied. Using a two-region fluid we model the effects of confluence near the tropopause. A similar approach is made to the appearance of fronts in the finite-amplitude development of the simplest Eady wave; this is also solved analytically. Based on the surface fronts produced by these models, we give a general model of a strong surface front. There is a tendency to form discontinuities in a finite time.
839 citations
TL;DR: In this paper, the lift and moment acting upon an airfoil in the two-dimensional case may be calculated directly from simple physical considerations of momentum and moment of momentum after a calculation of the induction effects of a wake vortex.
Abstract: The basic conceptions of the circulation theory of airfoils are reviewed briefly, and the mechanism by which a “wake” of vorticity is produced by an airfoil in non-uniform motion is pointed out It is shown how the lift and moment acting upon an airfoil in the two-dimensional case may be calculated directly from simple physical considerations of momentum and moment of momentum After a calculation of the induction effects of a wake vortex, formulae for the lift and moment are obtained which are applicable to all cases of motion of a two-dimensional thin airfoil in which the wake produced is approximately flat; ie, in which the movement of the airfoil normal to its mean path is small
The general results are applied first to the case of an oscillating airfoil and then to the problem of a plane airfoil entering a “sharp-edged” gust In the latter case the rate of increase of the lift after the entrance of the airfoil into the gust boundary is determined, and it is shown that during the entire process the lift acts at the quarter-chord point of the airfoil
The intention of the authors has been to make the airfoil theory of non-uniform motion more accessible to engineers by showing the physical significance of the various steps of the mathematical deductions, and to present the results of the theory in a form suitable for immediate application to certain flutter and gust problems
782 citations
TL;DR: Questions involve consideration of the mathematical basis of the time-concentration curve of consecutive arterial samples, when a dye is injected into a vein; the calculation of the volume of blood in the thorax; and the effect of such factors as different rates of flow in parallel streams.
777 citations
574 citations
Performance Metrics
| Year | Papers |
|---|---|
| 2026 | 1 |
| 2025 | 1,143 |
| 2024 | 1,576 |
| 2023 | 1,368 |
| 2022 | 1,569 |
| 2021 | 230 |