The viscous vortex induced by a sink on the axis of a circulating fluid in the presence of a plane free surface

1969 ◽  
Vol 36 (2) ◽  
pp. 219-238 ◽  
Author(s):  
T. J. Pedley
Keyword(s):  
Reynolds Number ◽  
Free Surface ◽  
Stagnation Point ◽  
Velocity Fields ◽  
First Order ◽  
The Core ◽  
Meridional Velocity ◽  
Vortex Lines ◽  
Burgers Vortex ◽  
Made In

The flow under discussion represents an idealization of the bath-tub vortex; distortions of the free surface, finite sink size, and all rigid boundaries have been eliminated from the problem in order to isolate the effect of the non-uniform stretching of vortex lines produced by the sink flow. A boundary-layer type of approximation is made about the axis, which requires that the meridional Reynolds number (N) be large, and since the problem is still intractable, an expansion is made in powers ofK=R2/N(whereRis the swirl Reynolds number), which measures the strength of the interaction between the swirl and meridional velocity fields. In the limit of zeroKthe flow is a modified Burgers vortex whose radius decreases to zero at the sink. For non-zeroK, the interaction is not restricted to the vortex core, because the presence of the vortex modifies the outer irrotational flow, inducing a radial mass flux into the core, whose dependence on the axial co-ordinate is calculated to the first order inK.The structure of the core is obtained, again to the first order inK, from two co-ordinate expansions, one near the stagnation point on the axis, and the other near the sink, although only the first few terms of the latter can be determined explicitly. It is shown how the methods can be extended not only to higher orders inK, but also to any other narrow viscous vortex in which the vortex lines are stretched non-uniformly away from an internal stagnation point.

Effect of Wall Movement on a Jet Depositing on a Moving Wall at Moderate Reynolds Number

2010 ◽  
Author(s):  
Md. Yahia Hussain ◽  
Roger E. Khayat
Keyword(s):  
Boundary Layer ◽  
Reynolds Number ◽  
Free Surface ◽  
Core Region ◽  
Relaxation Length ◽  
Moving Wall ◽  
The Core ◽  
Wall Movement ◽  
Moderate Reynolds Number ◽  
Surface Jet

The steady flow of a moderately inertial jet depositing on a moving wall, is examined theoretically near channel exit. The free surface jet emerges from a channel and adheres to a wall, which may move in the same or opposite direction to the acting channel pressure gradient. The problem is solved using the method of matched asymptotic expansions. The small parameter involved in the expansions is the inverse Reynolds number. The flow field is obtained as a composite expansion by matching the flow in the boundary layer regions near the free surface, with the flow in the core region. The influence of inertia and wall velocity on the shape of the free surface, the velocity and stress is emphasized. It is found that the viscous relaxation length is essentially uninfluenced by the velocity of a forward moving wall. In contrast, it diminishes rapidly with the velocity of a backward moving wall.

Will Love Tear Us Apart: Adapting the Lyrical to the Ludic

CounterText ◽  
2016 ◽  
Vol 2 (2) ◽  
pp. 217-235
Author(s):  
Gordon Calleja
Keyword(s):  
Design Process ◽  
Game Design ◽  
Digital Games ◽  
Design Decisions ◽  
The Core ◽  
Lyrical Poetry ◽  
Insight Into ◽  
Made In

This paper gives an insight into the design process of a game adaptation of Joy Division's Love Will Tear Us Apart (1980). It outlines the challenges faced in attempting to reconcile the diverging qualities of lyrical poetry and digital games. In so doing, the paper examines the design decisions made in every segment of the game with a particular focus on the tension between the core concerns of the lyrical work being adapted and established tenets of game design.

‘To wise for a woman’

2018 ◽  
Author(s):  
Nicola Clark
Keyword(s):  
Marital Problems ◽  
The Core ◽  
The Family ◽  
Made In ◽  
The Way

While there were clear strategic aims in the way that marriages were made in the Howard dynasty during this period, the family was only unusual in that it operated at the very top of the aristocratic hierarchy and was therefore able to use marital alliances to successfully recover and bolster both status and finances. Where they were different, however, was in the experience of some of these women within marriage. By and large, the marriages made by and for members of the family, including women, seem to have been as successful as others of their class. However, three women close to the core of the dynasty experienced severe marital problems, even ‘failed’ marriages, almost simultaneously during the 1520s and 1530s. The records generated by these episodes tell us about the way in which the family operated as a whole, and the agency of women in this context, and this chapter therefore reconstructs these disputes for this purpose.

Radial lift on a suspended finite-sized sphere due to fluid inertia for low-Reynolds-number flow through a cylinder

2013 ◽  
Vol 722 ◽  
pp. 159-186 ◽  
Author(s):  
Sukalyan Bhattacharya ◽  
Dil K. Gurung ◽  
Shahin Navardi
Keyword(s):  
Reynolds Number ◽  
Particle Diameter ◽  
Axial Direction ◽  
Perturbation Scheme ◽  
Fluid Inertia ◽  
Regular Perturbation ◽  
Cross Sectional ◽  
First Order ◽  
Reynolds Number Flow ◽  
Freely Suspended

AbstractThis article describes the radial drift of a suspended sphere in a cylinder-bound Poiseuille flow where the Reynolds number is small but finite. Unlike past studies, it considers a circular narrow conduit whose cross-sectional diameter is only $1. 5$–$6$ times the particle diameter. Thus, the analysis quantifies the effect of fluid inertia on the radial motion of the particle in the channel when the flow field is significantly influenced by the presence of the suspended body. To this end, the hydrodynamic fields are expanded as a series in Reynolds number, and a set of hierarchical equations for different orders of the expansion is derived. Accordingly, the zeroth-order fields in Reynolds number satisfy the Stokes equation, which is accurately solved in the presence of the spherical particle and the cylindrical conduit. Then, recognizing that in narrow vessels Stokesian scattered fields from the sphere decrease exponentially in the axial direction, a simpler regular perturbation scheme is used to quantify the first-order inertial correction to hydrodynamic quantities. Consequently, it is possible to obtain two results. First, the sphere is assumed to follow the axial motion of a freely suspended sphere in a Stokesian condition, and the radial lift force on it due to the presence of fluid inertia is evaluated. Then, the approximate motion is determined for a freely suspended body on which net hydrodynamic force including first-order inertial lift is zero. The results agree well with the available experimental results. Thus, this study along with the measured data would precisely describe particle dynamics inside narrow tubes.

Estimating the error in variational scattering calculations

1978 ◽  
Vol 56 (10) ◽  
pp. 1358-1364 ◽  
Author(s):  
J. W. Darewych ◽  
R. Pooran
Keyword(s):  
Wave Scattering ◽  
Exponential Potential ◽  
S Wave ◽  
Order Error ◽  
Absolute Value ◽  
First Order ◽  
Scattering Phase ◽  
Square Well ◽  
Scattering Phase Shifts ◽  
Made In

We derive bounds to the absolute value of the error that is made in variational estimates of scattering phase shifts. These bounds, like the variational estimates, are second order in 'small' quantities and are, in this respect, an improvement on similar but first-order error bounds derived previously by Bardsley, Gerjuoy, and Sukumar. The s-wave scattering by a square well potential, in the Born approximation, and by an exponential potential, using a many parameter trial function, are used to illustrate the results.

scholarly journals N.M.R. studies of ligand exchange on acetylacetonatotrimethylplatinum(IV)

1975 ◽  
Vol 28 (4) ◽  
pp. 759 ◽  
Author(s):  
NS Ham ◽  
JR Hall ◽  
GA Swile
Keyword(s):  
Activation Energy ◽  
Quantitative Analysis ◽  
Ligand Exchange ◽  
Variable Temperature ◽  
Order Reaction ◽  
First Order Reaction ◽  
First Order ◽  
Cdcl3 Solution ◽  
Made In

A quantitative analysis of the variable-temperature 1H N.M.R. spectra of acetylacetonatotrimethyl-platinum(IV) has been made. In CDCl3 solution the exchange of acetylacetonate ligands is a first-order reaction and proceeds predominantly by dissociation of the dimer into two separated five-coordinate activated complexes. The activation energy is 61.5 � 0.8 kJ mol-1.

Summary judgment — Quo vadis?

2021 ◽  
Vol 138 (1) ◽  
pp. 88-114
Author(s):  
Thino Bekker
Keyword(s):  
South African ◽  
Historical Development ◽  
Access To Justice ◽  
High Court ◽  
The Core ◽  
Golden Opportunity ◽  
Quo Vadis ◽  
The Right ◽  
Summary Judgment ◽  
Made In

The summary judgment procedure in South African law provides for a speedy judgment in favour of a deserving plaintiff where it can be shown that the defendant does not have a triable defence. In 2019 the Rules Board made certain drastic amendments to the procedure of summary judgment in the high court. In this article the historical development of the procedure of summary judgment will be discussed, and the new amendments to rule 32 of the Uniform Rules of Court critically evaluated. It will be argued that the amendments to rule 32 were unnecessary and that it may diminish the right to access to justice in civil disputes. It will, however, also be argued that there are some merits in the critique raised by the Rules Board in relation to rule 32 and that the Rules Board missed a golden opportunity to overhaul the entire summary judgment procedure in a more sensible manner and in line with the core constitutional values of s 34 of the Constitution. It will be argued that rule 32 should be replaced in its entirety by a new, more streamlined procedure, and some recommendations for legal reform will be made in this regard.

Defining Relationship Marketing: A review of Research

2007 ◽  
Vol 3 (2) ◽  
pp. 64-76 ◽  
Author(s):  
C. Madhavaiah ◽  
S. Durga Rao
Keyword(s):  
Content Analysis ◽  
Relationship Marketing ◽  
Customer Loyalty ◽  
Previous Literature ◽  
The Core ◽  
Analysis Methodology ◽  
Different Sources ◽  
Made In

The term “relationship marketing” has become a popular concept among the practitioners of marketing as well as academics during the last several years. It is very beneficial to firms because it can foster customer loyalty and re-patronage behaviour. Apart from its growing popularity among academia and practitioners, still there exists no consensus on the basic “constructs” of relationship marketing. Different authors have different opinions about what should and what should not be at the core of what constitutes “relationship marketing”. In view of this, an attempt is made in this paper to collect and analyse 36 definitions of relationship marketing from different sources of previous literature. Content analysis methodology has been used to identify the underlying “constructs” in each of the 36 definitions. The results suggest that there are seven RM “constructs” which constitute the major conceptualisations of relationship marketing. Out of 36 definitions of relationship marketing, only one definition is judged as being more comprehensive and generally acceptable and a new definition for relationship marketing is presented as an inducement to further research and discussion.

scholarly journals Новый фрагмент санскритской Саддхармапундарика-сутры из Хотана

2020 ◽  
Vol 13 (3) ◽  
pp. 620-628
Author(s):  
Artem V. Mesheznikov ◽  
Keyword(s):  
Tarim Basin ◽  
The Other ◽  
The Core ◽  
Lotus Sutra ◽  
Central Asian ◽  
Call Number ◽  
Made In

Introduction. The collection of Sanskrit manuscripts of the Lotus Sutra is a richest one in the Serindian Collection of the Institute of Oriental Manuscripts (RAS, 27 call numbers). Most of the fragments of the Sanskrit Lotus Sutra from the Serindian Collection belong to the Central Asian edition, including the famous Kashgar manuscript by N. F. Petrovsky that is the most extensive version of the Sutra (about 400 folios) and the core of the Sanskrit manuscripts containing the text of ‘Saddharmapuṇḍarīka’. Most of the Sanskrit manuscripts of the Lotus Sutra in the Serindian Collection were compiled in the southern oases of the Tarim Basin and made in poṭhī format. The texts of these manuscripts were written in Southern Turkestan Brāhmī in black ink on paper. According to paleographic data, these manuscripts can be dated to the 8th–9th centuries AD. Goals. The article seeks to introduce into academic circulation a new fragment of the Sanskrit Lotus Sutra from the Serindian Collection of the IOM (RAS). The new unpublished fragment of the Lotus Sutra stored under call number SI 6584 has been identified relatively recently. It is an excerpt from Chapter XVIII of the Lotus Sutra (‘The Chapter Describing the Religious Merit [Obtained through] Joyful Participation [in Dharma]’, ‘Anumodanāpuṇyanirdeśaparivartaḥ’). According to paleographic and codicological characteristics, the new fragment is very close to another previously published manuscript of the Lotus Sutra stored in the Serindian Collection under call number SI 1934. The article describes the external features of both manuscripts (SI 1934 and SI 6584), transliterates, translates and compares fragment SI 6584 to the other well-known texts of the Lotus Sutra. The paper also contains a facsimile reproduction of fragment SI 6584. Conclusions. As compared to other texts of the Lotus Sutra, fragment SI 6584 belongs to the Central Asian edition of ‘Saddharmapuṇḍarīka’, and its text is almost identical to that of the Kashgar manuscript by N. F. Petrovsky (fol. 335b–337a).

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