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Oscillating stagnation point flow
Proceedings of the Royal Society of London. A. Mathematical and Physical Sciences, 1982A solution of the Navier-Stokes equations is given for an incompressible stagnation point flow whose magnitude oscillates in time about a constant, non-zero, value (an unsteady Hiemenz flow). Analytic approximations to the solution in the low and high frequency limits are given and compared with the results of numerical integrations. The application of
Harold Salwen, Chester E. Grosch
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Droplet breakup in a stagnation-point flow
Journal of Fluid Mechanics, 2020Abstract
Alireza Hooshanginejad +3 more
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Unsteady flow at a stagnation point
Journal of Fluid Mechanics, 1993The flow at an axisymmetric stagnation point is considered when the outer, inviscid flow is oscillatory with zero mean. It is shown that following the commencement of the flow at an initial instant there is a breakdown of the solution, after a finite time, as fluid erupts from the boundary at the stagnation point.
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AN UNSTEADY STAGNATION-POINT FLOW
The Quarterly Journal of Mechanics and Applied Mathematics, 1989We consider the oscillatory flow at a two-dimensional stagnation point. We show, following the initiation of the motion, that the solution always develops a singularity at a finite time, and we discuss the implications of this for the flow over a cylinder which performs transverse harmonic ...
N. Riley, R. Vasantha
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Measurements in the vicinity of a stagnation point
Experimental Thermal and Fluid Science, 2002Abstract This paper presents measurements of a plane jet impinging onto a normal flat plate placed up to five jet widths from the jet outlet. The small spacing ensured that the stagnation streamline remained in the potential core of the jet. The plate shear stress distribution compared well to that from an analytical solution for the laminar ...
Y. Guo, D.H. Wood
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Stagnation-point flow in a rotating cylinder
The Physics of Fluids, 1974Linear theory is used to study the pure stagnation-point flow created inside a rotating cylinder by introducing fluid uniformly through the top surface and removing it uniformly through the side wall. Of main interest is the completely new role played by the E1/2 layer at the side wall, although the (unsteady) E1/4 and E1/3 layers also have novel ...
G. S. S. Ludford, R. W. Davis
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1981
The boundary layer at three-dimensional stagnation points has been the object of many theoretical investigations. Since a review on the literature available is not intended, only a few references are mentioned here [40,53,68]. HOWARTH [40]was one of the first to present results for a general three-dimensional stagnation point.
Ernst Heinrich Hirschel +1 more
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The boundary layer at three-dimensional stagnation points has been the object of many theoretical investigations. Since a review on the literature available is not intended, only a few references are mentioned here [40,53,68]. HOWARTH [40]was one of the first to present results for a general three-dimensional stagnation point.
Ernst Heinrich Hirschel +1 more
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Free convection at an axisymmetric stagnation point
Journal of Fluid Mechanics, 1996Free-convective flow in the neighbourhood of the upper pole of a heated sphere at high Grashof number is considered. Direct buoyancy effects have been studied previously, and it is known that the unsteady boundary-layer solution may terminate in singular behaviour. For a spatially varying surface temperature, a self-induced pressure gradient is present.
Norsarahaida Amin, N. Riley
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Stagnation-point flow in a rotating fluid
The Physics of Fluids, 1974The exact solution of the Navier-Stokes equations originated by von Kármán is shown to apply even when a stagnation-point flow is added. The numerical integration is carried through in five special cases, chosen for their relevance to previous work of Hömann, of Hannah, and of Benton as well as the “coffee-tin experiment” which started the ...
G. S. S. Ludford, R. W. Davis
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Stagnation Points in Flows about Solid Bodies [PDF]
The authors study two- and three-dimensional flows about solid bodies. In the two-dimensional case they consider the flows about a vortex pair and a dipole pair. Then the irrotational motion about two dipoles is considered in the three-dimensional case.
C. W. Dawson +3 more
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