Isochoric Circulation-Preserving Motions with Stream-Lines of a Potential Motion

1987 ◽  
pp. 221-226
Author(s):  
A. W. Marris
Keyword(s):  
Potential Motion ◽  
Stream Lines

Vane Rheometry with a Large, Finite Gap

2002 ◽  
Vol 12 (2) ◽  
pp. 81-87 ◽  
Author(s):  
Christophe Baravian ◽  
Audrey Lalante ◽  
Alan Parker
Keyword(s):  
Viscoelastic Properties ◽  
Complex Fluids ◽  
Standard Procedure ◽  
Effective Radius ◽  
Stress Factors ◽  
Work Flow ◽  
Flow Curves ◽  
Alternative Procedures ◽  
Newtonian Liquids ◽  
Stream Lines

Abstract The vane geometry with a large gap is used to determine the Newtonian, non-Newtonian and viscoelastic properties of complex fluids. We show that when this geometry is carefully characterized, it can be used for precise rheometry. A novel effective cylinder approximation is used to obtain the shear rate and shear stress factors. The effective radius is found to be close to the height of the triangle formed by joining the tips of adjacent blades. This result differs significantly from that of previous work. Flow visualization has been used to confirm that the stream lines bend towards the centre between the blades. These factors can be used to determine the flow curves of non-Newtonian liquids, using Krieger’s power law expansion. The standard procedure for using the vane to determine the yield stress is also carefully investigated and alternative procedures are suggested.

scholarly journals Stress Lines and Stream Lines

Nature ◽  
1910 ◽  
Vol 83 (2111) ◽  
pp. 203-203
Author(s):  
G. H. G.
Keyword(s):  
Stream Lines

Integrated Solutions for the Redevelopment Plan of Offshore Mature-Oilfield

2021 ◽  
Author(s):  
Hongfu Shi ◽  
Yingxian Liu ◽  
Lifu Jiang ◽  
Jingding Zheng ◽  
Liqin Gan
Keyword(s):  
High Water ◽  
Bohai Bay ◽  
Sand Body ◽  
Well Pattern ◽  
Open Hole ◽  
Average Water ◽  
High Water Cut ◽  
Water Cut ◽  
Stream Lines ◽  
Sand Bodies

Abstract Abundant faults, long oil-bearing intervals (up to 500m), and diverse fluids including conventional oil and heavy oil, result in P oilfield became one of the most complex oil fields in the Bohai Bay. The main characters ofinitial development plan are directional well with commingle production, open hole completion, large draw down, high oil production rate, and reverse nine-point well pattern. At present, the oilfield has entered a stage of high water cut, with average water cut more than 85%. What can we do next, decommissioning or rebirthing? An integrated solution was proposed to redevelop the oilfield which focus on the layers’ subdivision, the fine description of the sand body,a large number of horizontal wells on the top of the water-flooded layer are used to tap the potential, increase the water injector to transform the stream lines and rebuild the reservoir pressure, and search for potential sand bodies to increase reserves.

Surface waves on shear currents: solution of the boundary-value problem

1993 ◽  
Vol 252 ◽  
pp. 565-584 ◽  
Author(s):  
Victor I. Shrira
Keyword(s):  
Boundary Value Problem ◽  
Growth Rates ◽  
Wave Motion ◽  
Boundary Value ◽  
A Priori ◽  
Approximate Solutions ◽  
Short Wave ◽  
Capillary Waves ◽  
Potential Motion ◽  
Approximate Expressions

We consider a classic boundary-value problem for deep-water gravity-capillary waves in a shear flow, composed of the Rayleigh equation and the standard linearized kinematic and dynamic inviscid boundary conditions at the free surface. We derived the exact solution for this problem in terms of an infinite series in powers of a certain parameter e, which characterizes the smallness of the deviation of the wave motion from the potential motion. For the existence and absolute convergence of the solution it is sufficient that e be less than unity.The truncated sums of the series provide approximate solutions with a priori prescribed accuracy. In particular, for the short-wave instability, which can be interpreted as the Miles critical-layer-type instability, the explicit approximate expressions for the growth rates are derived. The growth rates in a certain (very narrow) range of scales can exceed the Miles increments caused by the wind.The effect of thin boundary layers on the dispersion relation was also investigated using an asymptotic procedure based on the smallness of the product of the layer thickness and wavenumber. The criterion specifying when and with what accuracy the boundary-layer influence can be neglected has been derived.

Comparison of Two Complete Solutions in an Axisymmetric Extrusion With Experiment

1969 ◽  
Vol 91 (3) ◽  
pp. 543-548 ◽  
Author(s):  
A. H. Shabaik ◽  
E. G. Thomsen
Keyword(s):  
Strain Rate ◽  
Effective Strain ◽  
Cone Angle ◽  
Low Friction ◽  
First Approximation ◽  
Strain And Strain Rate ◽  
Conical Die ◽  
Stream Lines ◽  
Half Cone ◽  
Half Cone Angle

An upper-bound and a potential solution to a forward extrusion problem were compared with experimental results obtained by the visioplasticity method. The process consisted of extruding a 2-in-dia billet of preforged lead through a conical die having a half-cone angle of 45 deg under the condition of relatively low friction. The comparison was made for steady state stream lines, velocities, strain rate components, effective strain and strain rate, grid distortion, and stress distribution. It was found that the curves were generally of similar shape and that some differences existed in magnitude only. It is suggested that the theoretical solutions can be used to advantage to a first approximation in predicting all important variables.

scholarly journals V. On the theory of free stream lines

1890 ◽  
Vol 181 ◽  
pp. 389-431 ◽  
Keyword(s):  
Free Stream ◽  
Fluid Motion ◽  
Steady Motion ◽  
Two Dimensions ◽  
Mathematical Solution ◽  
The Subject ◽  
Negative Pressures ◽  
Stream Lines ◽  
Salient Edges

The attention of mathematicians was first called to the subject of the present paper by a memoir of Helmholtz’s in 1868, on “Discontinuous Fluid Motion.” In discussing the steady motion of liquids past salient edges of fixed obstacles, it is found that the assumptio of continuity of the motion leads to negative pressures in the liquid. Helmholtz showed, in the paper above-mentioned, that some cases of this kind could be solved by assuming a surface of discontinuity, on one side of which the liquid is at rest, and he gave a mathematical solution of one case where the motion is in two dimensions.

Errata

1870 ◽  
Vol 18 (114-122) ◽  
Keyword(s):  
Before And After ◽  
Stream Lines

Vol. xvi. page 346, line 8 from bottom, for instead of a depth read in seas of a depth. Vol. xvii. page 345, line 8 from bottom, for δN = -157"·156 read δN= +157"·156. Vol. xviii. page 207, line 10 from bottom, before and after the words “ Stream-lines generated by a Sphere,” dele the marks of quotation.

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