Laminar Boundary Layers in Oscillatory Flow

Hill, Philip G.; Stenning, A. H.

doi:10.1115/1.3662672

Cited by 50 publications

(20 citation statements)

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“…The boundary layer theory of Schlichting (1932) is the basis of developments reported herein, with higher approximations of others (1961, 1967) and Shah (1970). Similar approaches can be found in the studies of Hill and Stenning (1960), Hori (1962), Hunt and Johns (1963), Dore (1968), Noda (1971) and others.…”

Section: Introductionsupporting

confidence: 71%

“…If the amplitudes of fluctuation are small, such as (K(X, a/d)4f.l , the boundary layer behavior can be calculated by using Fourier series for arbitrary fluctuations of the free stream with time (Hill and Stenning, 1960). This method involves linearization of the stream function yl^y.i) , which is expanded in an infinite series yrx,y.^;ej = e(y i m + ty t (z) + t x Y s (z) + ...)e t'toi…”

Section: The Boundary Layer 1 the Velocity Distributionmentioning

confidence: 99%

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Velocity and Shear Stress in Wave Boundary Layers

Teleki

1972

Int. Conf. Coastal. Eng.

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The critical force for the entrainment of sediment on the ocean floor is the maximum, instantaneous shear force. A numerical estimate for the stress is made from the third approximation of a second order boundary layer theory for oscillating laminar flow. The analytical derivation satisfies both the case of flow in an oscillating water tunnel and the case of a progressive (Airy) wave, where the shear distribution depends on the form of the velocity distribution in the boundary layer. Solution for the velocity is on the basis of iteration in an infinite series, where the convective terms are numerically evaluated from lower order solutions. For the boundary shear, the phase lead is found to be less than predicted by linear theory, and although the correction at the third approximation is small compared to lower approximations, the modified vertical distribution provides a basis for the correction of shear measurements, obtained by indirect means, to the boundary value.

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Section: Introductionsupporting

confidence: 71%

Section: The Boundary Layer 1 the Velocity Distributionmentioning

confidence: 99%

Velocity and Shear Stress in Wave Boundary Layers

Teleki

1972

Int. Conf. Coastal. Eng.

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“…Lighthill studied this problem by employing momentum integral method. These results were confirmed experimentally by Hill and Stenning [3]. In many industrial, aeronautical engineering, atomic propulsion and space science, the oscillatory flow past an infinite vertical porous plate plays an important role.…”

Section: Introductionsupporting

confidence: 55%

Hydromagnetic Unsteady Mixed Convection Flow Past an Infinite Vertical Porous Plate

Sharma¹,

Chand²,

Chaudhary³

2012

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An approximate analysis of unsteady mixed convection flow of an electrically conducting fluid past an infinite vertical porous plate embedded in porous medium under constant transversely applied magnetic field is presented here. The periodic transverse suction velocity is applied to the surface due to which the flow becomes unsteady. The surface is kept at oscillating wall temperature. Analytical expressions for the transient velocity, temperature, amplitude and phase of the skin-friction and the rate of heat transfer are obtained and discussed in detail with the help of graphs, under different parameter values.

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“…The same cam as that driving the strain membrane drove a piston-plate assembly at the template end, resulting in a similar oscillatory fluid motion without stretching the cells. The maximal shear stress oscillations were approximated from the velocity profile of fluid flow near an oscillating flat plate (37) for cyclic strain (0 Ϯ 0.15 and 0 Ϯ 0.24 dyn/cm 2 for 10% and 20% strain, respectively) and from the velocity profile of the shear wave layer of oscillatory fluid flow over a plate with high characteristic frequency fluctuations (19) for motion control (0 Ϯ 0.21 and 0 Ϯ 0.42 dyn/cm 2 for 10% and 20% deformation, respectively). For the static condition, the assembly was identical to that for the motion control and strain conditions, but the piston was not moved.…”

Section: Methodsmentioning

confidence: 99%

Cyclic strain and motion control produce opposite oxidative responses in two human endothelial cell types

Sung

Yee²,

Eskin³

et al. 2007

American Journal of Physiology-Cell Physiology

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Sung H-J, Yee A, Eskin SG, McIntire LV. Cyclic strain and motion control produce opposite oxidative responses in two human endothelial cell types. Am J Physiol Cell Physiol 293: C87-C94, 2007. First published February 21, 2007 doi:10.1152/ajpcell.00585.2006.-The phenotype of endothelial cells (ECs) is specific to the vascular bed from which they originate. To examine how mechanical forces alter the phenotype of different ECs, we compared the effects of cyclic strain and motion control on reactive oxygen species (ROS) production and metabolism and cell adhesion molecule expression in human umbilical vein endothelial cells (HUVEC) vs. human aortic endothelial cells (HAEC). HUVEC and HAEC were subjected to cyclic strain (10% or 20%, 1 Hz), to a motion control that simulated fluid agitation over the cells without strain, or to static conditions for 24 h. We measured H2O2 production with dichlorodihydrofluorescein acetate and superoxide with dihydroethidium fluorescence changes; superoxide dismutase (SOD), catalase, and glutathione peroxidase (GPx) activities spectrophotometrically; and vascular cell adhesion molecule (VCAM)-1 and intercellular adhesion molecule (ICAM)-1 protein expression with Western blot analyses. HUVEC under cyclic strain showed 1) higher intracellular H2O2 levels, 2) increased SOD, catalase, and GPx activities, and 3) greater VCAM-1 and ICAM-1 protein expression, compared with motion control or static conditions. However, in HAEC, motion control induced higher levels of ROS, enzyme activities associated with ROS defense, and VCAM-1 and ICAM-1 expression than cyclic strain. The opposite responses obtained with these two human EC types may reflect their vessels of origin, in that HAEC are subjected to higher cyclic strain deformations in vivo than HUVEC.

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Laminar Boundary Layers in Oscillatory Flow

Cited by 50 publications

References 0 publications

Velocity and Shear Stress in Wave Boundary Layers

Velocity and Shear Stress in Wave Boundary Layers

Hydromagnetic Unsteady Mixed Convection Flow Past an Infinite Vertical Porous Plate

Cyclic strain and motion control produce opposite oxidative responses in two human endothelial cell types

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