Plastic Models Designed To Produce Large Height-to-Length Ratio Steady-State Planar and Axisymmetric (Radial) Viscous Liquid Laminar Flow Gravity Currents

2011 ◽  
Vol 89 (2) ◽  
pp. 234-238 ◽  
Author(s):  
Harvey F. Blanck
Keyword(s):  
Steady State ◽  
Laminar Flow ◽  
Viscous Liquid ◽  
Gravity Currents ◽  
Length Ratio

scholarly journals Axisymmetric viscous gravity currents flowing over a porous medium

2009 ◽  
Vol 622 ◽  
pp. 135-144 ◽  
Author(s):  
MELISSA J. SPANNUTH ◽  
JEROME A. NEUFELD ◽  
J. S. WETTLAUFER ◽  
M. GRAE WORSTER
Keyword(s):  
Porous Medium ◽  
Steady State ◽  
Gravity Current ◽  
Gravity Currents ◽  
Constant Input ◽  
Radial Extent ◽  
Vertically Aligned ◽  
Analytical Expressions ◽  
Permeability Structure ◽  
Good Agreement

We study the axisymmetric propagation of a viscous gravity current over a deep porous medium into which it also drains. A model for the propagation and drainage of the current is developed and solved numerically in the case of constant input from a point source. In this case, a steady state is possible in which drainage balances the input, and we present analytical expressions for the resulting steady profile and radial extent. We demonstrate good agreement between our experiments, which use a bed of vertically aligned tubes as the porous medium, and the theoretically predicted evolution and steady state. However, analogous experiments using glass beads as the porous medium exhibit a variety of unexpected behaviours, including overshoot of the steady-state radius and subsequent retreat, thus highlighting the importance of the porous medium geometry and permeability structure in these systems.

Laminar flow of a suspension of solid particles in a viscous liquid

1972 ◽  
Vol 4 (2) ◽  
pp. 108-109
Author(s):  
E. F. Afanas'ev ◽  
V. N. Nikolaevskii
Keyword(s):  
Laminar Flow ◽  
Viscous Liquid ◽  
Solid Particles

Performance of Lightly Loaded Gas Journal Bearings in the Slip-Flow and Turbulent-Flow Regimes

1968 ◽  
Vol 10 (4) ◽  
pp. 363-366
Author(s):  
M. D. Wood
Keyword(s):  
Steady State ◽  
Laminar Flow ◽  
Turbulent Flow ◽  
Reynolds Equation ◽  
Dynamic Performance ◽  
Slip Flow ◽  
Flow Regimes ◽  
Journal Bearings ◽  
Performance Parameters ◽  
Existing Data

The note compares recently published versions of the governing gas film equations for slip-flow and turbulent flow with Reynolds equation for laminar flow. The comparison shows how approximate values of steady-state and dynamic performance parameters may be deduced for the new conditions from existing data.

Steady-state laminar flow solutions for NACA 0012 airfoil

2016 ◽  
Vol 126 ◽  
pp. 102-128 ◽  
Author(s):  
R.C. Swanson ◽  
S. Langer
Keyword(s):  
Steady State ◽  
Laminar Flow ◽  
Naca 0012

Gravity currents over fractured substrates in a porous medium

2007 ◽  
Vol 584 ◽  
pp. 415-431 ◽  
Author(s):  
DAVID PRITCHARD
Keyword(s):  
Porous Medium ◽  
Steady State ◽  
Gravity Current ◽  
Gravity Currents ◽  
Limited Extent ◽  
Form Part ◽  
Long Time ◽  
Self Similar ◽  
Steady State Solutions ◽  
A Current

We consider the behaviour of a gravity current in a porous medium when the horizontal surface along which it spreads is punctuated either by narrow fractures or by permeable regions of limited extent. We derive steady-state solutions for the current, and show that these form part of a long-time asymptotic description which may also include a self-similar ‘leakage current’ propagating beyond the fractured region with a length proportional to t1/2. We discuss the conditions under which a current can be completely trapped by a permeable region or a series of fractures.

scholarly journals Investigation of genes mediating the response of human endothelial cells to steady‐state laminar flow

2011 ◽  
Vol 25 (S1) ◽  
Author(s):  
Michael Adam Meledeo ◽  
James A Bynum ◽  
Jill L Sondeen ◽  
M Dale Prince ◽  
Phillip D Bowman
Keyword(s):  
Endothelial Cells ◽  
Steady State ◽  
Laminar Flow ◽  
Human Endothelial Cells

Numerical Simulation of Unsteady Laminar Flow Over Vibrating Bodies (Planar Flow)

1991 ◽  
Vol 35 (03) ◽  
pp. 230-249
Author(s):  
N. Kolluru Venkat ◽  
Malcolm Spaulding
Keyword(s):  
Steady State ◽  
Laminar Flow ◽  
Strouhal Number ◽  
Pressure Wave ◽  
Fourier Transforms ◽  
Amplitude Ratio ◽  
The Body ◽  
Series Data ◽  
Friction Coefficients ◽  
Highly Nonlinear

A model is developed to simulate two-dimensional laminar flow over an arbitrarily shaped body, a part of which is subjected to simple harmonic motion. The vibration amplitude ratio, Ho, and the Reynolds number, Re, are maintained at 0.1 and 1000, respectively. The Strouhal number, St, is varied in the range 0.0 ≤ St ≤ 1.0. The computer code is tested for the flow in a square cavity and also over a flat plate. The friction and pressure coefficients over the vibrating portion of the body are determined. Fast Fourier Transforms are performed on the time series data of these coefficients. For low-frequency vibrations (low Strouhal number) the pressure and friction coefficients match the steady-state results for flow over a sinusoidal bump. A small-amplitude pressure wave generated by the oscillating plate propagates downstream with the flow. For high-frequency vibrations (high Strouhal number) the pressure and friction coefficients over the vibrating portion of the body deviate from the steady-state results and a high-amplitude pressure wave propagates downstream. The pressure at one chord length upstream is also affected. As St increases, the flow becomes highly nonlinear and higher harmonics appear in the downstream flow. Subsequent analysis indicates that the nonlinearity is controlled by the term v(Əu/Əy).

Sign in / Sign up

Export Citation Format

Share Document