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N. Riley (1965)
Oscillating viscous flowsMathematika, 12
(1911)
Die Grenzschicht an einem in den gleichformigen Flüssigkeitsstrom eingetauchten geraden Kreszylinder, Dingles Polytech
J. Stuart (1966)
Double boundary layers in oscillatory viscous flowJournal of Fluid Mechanics, 24
G. Merchant, S. Davis (1989)
Modulated stagnation-point flow and steady streamingJournal of Fluid Mechanics, 198
F. Homann (1936)
Einfluß großer Zähigkeit bei Strömung um ZylinderForschung auf dem Gebiet des Ingenieurwesens A, 7
Hassan Aref (2011)
Philip Drazin and Norman Riley: The Navier–Stokes equations : a classification of flows and exact solutionsTheoretical and Computational Fluid Dynamics, 26
G. Roberts (1971)
Computational meshes for boundary layer problems, 8
Karl Hiemenz
Die Grenzschicht an einem in den gleichförmigen Flüssigkeitsstrom eingetauchten geraden Kreiszylinder
Chang‐Yi Wang (1974)
Axisymmetric stagnation flow on a cylinderQuarterly of Applied Mathematics, 32
H. Takhar, Ali Chamkha, G. Nath (1999)
Unsteady axisymmetric stagnation-point flow of a viscous fluid on a cylinderInternational Journal of Engineering Science, 37
(1989)
An unsteady stagnationpoint flow
(1989)
An unsteady stagnation-point flow, Q. Jl Mech
N. Riley (1991)
Oscillating viscous flows: II superposed oscillationsMathematika, 38
N. Riley, P. Weidman (1989)
Multiple solutions of the Falkner-Skan equation for flow past a stretching boundarySiam Journal on Applied Mathematics, 49
M. Blyth, P. Hall (2003)
Oscillatory Flow Near a Stagnation PointSIAM J. Appl. Math., 63
N. Riley, R. Vasantha (1989)
AN UNSTEADY STAGNATION-POINT FLOWQuarterly Journal of Mechanics and Applied Mathematics, 42
C. Grosch, H. Salwen (1982)
Oscillating stagnation point flowProceedings of the Royal Society of London. A. Mathematical and Physical Sciences, 384
Unsteady, axisymmetric stagnation flow about a circular cylinder is examined when the far-field flow is a periodic function of time with a fixed time average and an oscillatory part of prescribed amplitude and frequency. Solutions are computed for arbitrary values of the Reynolds number, quantifying the effects of surface curvature, and a frequency parameter based on the period of the far-field flow. It is found that solutions remain regular and periodic provided that the far-field amplitude lies below a critical value. Above this value, solutions terminate in a finite-time singularity. The blow-up time is delayed by increasing the curvature of the surface. These results are corroborated by asymptotic predictions valid in the limits of small and large amplitude and frequency. For large Reynolds number, the problem reduces to the two-dimensional stagnation-point flow against a plane wall studied by previous authors.
The Quarterly Journal of Mechanics and Applied Mathematics – Oxford University Press
Published: Feb 13, 2007
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