Adiabatic transverse waves in a rotating fluid

1969 ◽  
Vol 38 (4) ◽  
pp. 657-671 ◽  
Author(s):  
C. Sozou ◽  
J. Swithenbank
Keyword(s):  
Angular Velocity ◽  
Potential Flow ◽  
The Other ◽  
Inviscid Fluid ◽  
Fast Wave ◽  
Harmonic Waves ◽  
Cylindrical Container ◽  
Rotating Fluid ◽  
Transverse Waves ◽  
The Core

Adiabatic disturbances propagating as transverse waves in an inviscid fluid rotating as a Rankine vortex about the axis of its cylindrical container are considered. The propagation of the first mode of the first two harmonic waves has been investigated. Relative to a fixed co-ordinate system, for each harmonic, there are three waves. Two waves are rotating in the same direction as the fluid, one faster and the other slower than the core of the fluid, and one wave rotates in the opposite direction. The latter is stable and relative to the core of the rotating fluid it is the fastest wave. Relative to the container, the other two waves are speeded up by rotation. However, relative to the rotating core, the angular velocity of the fast wave decreases when the fluid is speeded up, and when it is zero the wave breaks down. As the region of potential flow decreases the angular velocity of the slow wave increases and its amplitude decreases, and in the limit of vanishing potential flow, the wave rotates as fast as the fluid and its amplitude tends to zero.

scholarly journals Is It Possible to Determine Whether a Star is Rotating About a Unique Axis?

1993 ◽  
Vol 137 ◽  
pp. 566-568 ◽  
Author(s):  
D.O. Gough ◽  
A.G. Kosovichev
Keyword(s):  
Simple Model ◽  
Angular Velocity ◽  
Rotation Axis ◽  
The Other ◽  
The Sun ◽  
Natural Question ◽  
Rotating Stars ◽  
The Core ◽  
Axis Of Rotation ◽  
Fixed Axis

Rotating stars are normally presumed to rotate about a unique axis. Would it be possible to determine whether or not that presumption is correct? This is a natural question to raise, particularly after the suggestion by T. Bai & P. Sturrock that the core of the sun rotates about an axis that is inclined to the axis of rotation of the envelope.A variation with radius of the direction of the rotation axis would modify the form of rotational splitting of oscillation eigenfrequencies. But so too does a variation with depth and latitude in the magnitude of the angular velocity. One type of variation can mimic the other, and so frequency information alone cannot differentiate between them. What is different, however, is the structure of the eigenfunctions. Therefore, in principle, one might hope to untangle the two phenomena using information about both the frequencies and the amplitudes of the oscillations.We consider a simple model of a star which is divided into two regions, each of which is rotating about a different fixed axis. We enquire whether there are any circumstances under which it might be possible to determine seismologically the separate orientations of the axes.

Adiabatic transverse waves in a conducting gas

1971 ◽  
Vol 6 (2) ◽  
pp. 249-255 ◽  
Author(s):  
B. Roberts ◽  
C. Sozou
Keyword(s):  
Magnetic Field ◽  
Opposite Direction ◽  
Axial Direction ◽  
The Other ◽  
Rankine Vortex ◽  
Transverse Waves ◽  
The Core ◽  
The Magnetic Field

This paper is an investigation of the effect of a magnetic field on transverse waves in a perfectly conducting gas which is rotating like a Rankine vortex about the axis of a cylinder. The magnetic field is assumed to be in the axial direction. There are three waves: two waves are rotating in the same direction as the gas, one faster and the other slower than the core speed of the gas, and one wave rotates in the opposite direction.

New solutions representing adiabatic transverse waves in a Rankine vortex

1987 ◽  
Vol 413 (1844) ◽  
pp. 225-234 ◽  
Keyword(s):  
Angular Velocity ◽  
Compressible Fluid ◽  
Vortex Core ◽  
Rankine Vortex ◽  
Transverse Waves ◽  
The Core ◽  
Inviscid Compressible Fluid ◽  
Special Case

A new set of solutions for adiabatic transverse waves occurring in an inviscid compressible fluid that is rotating as an unbounded Rankine vortex is presented. It is shown that for each harmonic m , where m ≽ 1, and a specified angular velocity of the core of the vortex there is an infinite spectrum of frequencies that relates to unstable waves. Results are presented for some waves for m = 1 and m = 2. The transverse waves represent a special case of a more general set, which relates to an axial wavenumber b . When b ≠ 0 for an m ≽ 1 there are, in general, two sets of helical waves, one rotating faster and one rotating slower than the vortex core. When b → 0 the former set vanishes and the latter reduces to the transverse waves presented here.

Pathological oscillations of a rotating fluid

1969 ◽  
Vol 35 (4) ◽  
pp. 759-773 ◽  
Author(s):  
K. Stewartson ◽  
J. A. Rickard
Keyword(s):  
Boundary Layer ◽  
Angular Velocity ◽  
Critical Region ◽  
Theoretical Study ◽  
Inviscid Fluid ◽  
Rotating Fluid ◽  
Characteristic Cone ◽  
Concentric Spheres ◽  
Spherical Boundary ◽  
Characteristic Cones

A theoretical study is made of the free periods of oscillation of an incompressible inviscid fluid, bounded by two rigid concentric spheres of radii a, b (a > b), and rotating with angular velocity Ω about a common diameter. An attempt is made to use the Longuet-Higgins solution of the Laplace tidal equation as the first term of an expansion in powers of the parameter ε = (a − b)/(a + b), of the solution to the full equations governing oscillations in a spherical shell. This leads to a singularity in the second-order terms at the two critical circles where the characteristic cones of the governing equation touch the shell boundaries.A boundary-layer type of argument is used to examine the apparent non-uniformity in the neighbourhood of these critical circles, and it is found that, in order to remove the singularity in the pressure, an integrable singularity in the velocity components must be introduced on the characteristic cone which touches the inner spherical boundary. Further integrable singularities are introduced by repeated reflexion at the shell boundaries, and so, even outside the critical region the velocity terms contain what may reasonably be described as a pathological term, generally of order ε½ compared to that found by Longuet-Higgins, periodic with wavelength O(εa) in the radial and latitudinal directions.Some consequences of this result are discussed.

The Salvage of Ideas: Schumpeter and the Core Problems Still Confronting Economics

2003 ◽  
pp. 15-26
Author(s):  
P. Wynarczyk
Keyword(s):  
The Other ◽  
The Core ◽  
Other Hand ◽  
The One

Two aspects of Schumpeter' legacy are analyzed in the article. On the one hand, he can be viewed as the custodian of the neoclassical harvest supplementing to its stock of inherited knowledge. On the other hand, the innovative character of his works is emphasized that allows to consider him a proponent of hetherodoxy. It is stressed that Schumpeter's revolutionary challenge can lead to radical changes in modern economics.

The Final ‘Thank You’

Derrida Today ◽  
2010 ◽  
Vol 3 (1) ◽  
pp. 21-36
Author(s):  
Grant Farred
Keyword(s):  
South Africa ◽  
South African ◽  
Jacques Derrida ◽  
Political Transition ◽  
The Other ◽  
World Cup ◽  
The Core ◽  
Nelson Mandela ◽  
Black President ◽  
The Moment

‘The Final “Thank You”’ uses the work of Jacques Derrida and Friedrich Nietzsche to think the occasion of the 1995 rugby World Cup, hosted by the newly democratic South Africa. This paper deploys Nietzsche's Zarathustra to critique how a figure such as Nelson Mandela is understood as a ‘Superman’ or an ‘Overhuman’ in the moment of political transition. The philosophical focus of the paper, however, turns on the ‘thank yous’ exchanged by the white South African rugby captain, François Pienaar, and the black president at the event of the Springbok victory. It is the value, and the proximity and negation, of the ‘thank yous’ – the relation of one to the other – that constitutes the core of the article. 1

Analysis (Hans Morgenthau) to the concept of power and applied to the units of the international system

2019 ◽  
Vol 1 (1) ◽  
pp. 138
Author(s):  
Saif Nasrat Tawfiq Al - Haramazi
Keyword(s):  
Applied Sciences ◽  
International System ◽  
The Other ◽  
Human Sciences ◽  
Basic Requirement ◽  
The Core ◽  
Hans Morgenthau

The theoretical curriculum in all disciplines is a basic requirement that nourishes the minds of the intellectual and cognitive recipients in the various scientific and cognitive stages. This is the framework that distinguishes the academic understanding of the anarchic, which is one of the most important and important keys in thinking and success in that jurisdiction or field, , Because it is unreasonable and logical to get into the core of any subject without searching and searching for its intellectual and historical bases to find out the reasons and reasons that surrounded this idea which was later recognized as an important contribution to the field of human sciences. Applied Sciences and other from the other side.

AFRICAN WOMEN AND FORBIDDEN GROUNDS: FEMALE SEXUALITY AND SELF-DETERMINATION IN AFRICAN LITERATURE

Imbizo ◽  
2017 ◽  
Vol 7 (1) ◽  
pp. 40-54
Author(s):  
Oyeh O. Otu
Keyword(s):  
Female Sexuality ◽  
Sense Of Self ◽  
African Literature ◽  
The Other ◽  
Self Determination ◽  
African Women ◽  
The Core ◽  
The Many ◽  
The One ◽  
Sexual Repression

This article examines how female conditioning and sexual repression affect the woman’s sense of self, womanhood, identity and her place in society. It argues that the woman’s body is at the core of the many sites of gender struggles/ politics. Accordingly, the woman’s body must be decolonised for her to attain true emancipation. On the one hand, this study identifies the grave consequences of sexual repression, how it robs women of their freedom to choose whom to love or marry, the freedom to seek legal redress against sexual abuse and terror, and how it hinders their quest for self-determination. On the other hand, it underscores the need to give women sexual freedom that must be respected and enforced by law for the overall good of society.

Ahara as Pathya and Apathya in Amlapitta - A Review.

2017 ◽  
Vol 2 (1) ◽  
Author(s):  
Rakshith . ◽  
Shivakumar . ◽  
Sreeharsha . ◽  
Divyasree .
Keyword(s):  
Physical Health ◽  
Review Article ◽  
The Other ◽  
Social Health ◽  
Present Review ◽  
Common Disease ◽  
The Core ◽  
Common Disorder ◽  
The Common

The core principles in Ayurveda give prime importance to Agni, Prakriti, Ahara (food) and Vihara (lifestyle) in maintaining health. Present era people are scheduled to one or the other works due to which they are following unrightful food and habits which lead the manifestation of one of the common disorder which troubles person a lot - Amlapitta. By excess “Hurry, Worry and Curry” GIT disorders are the most common, not only affecting physical health but also psychological and social health. Amlapitta is one of that and it is a burning problem of the whole World. Amalpitta is composed of word Amla and Pitta. Amlapitta is a very common disease caused by Vidagdha Pitta with features like Amlodgara, Tiktodgara, Hrit, Kantha Daha etc. Pathya recommended in Amlapitta are Yava, Godhuma, Purana Shali, Mudga Yusha, Lajasaktu etc. Apathya recommended in Amlapitta are Navanna, Avidugdha, Masha, Kulattha, Dadhi and etc. So this present review article throws light on Pathya (conducive) and Apathya (non conducive) in Amlapitta.

scholarly journals Sustainable Consumer Behavior in Purchasing, Using and Disposing of Clothes

2021 ◽  
Vol 13 (15) ◽  
pp. 8333
Author(s):  
Mirella Soyer ◽  
Koen Dittrich
Keyword(s):  
Consumer Behavior ◽  
The Netherlands ◽  
Multiple Regression ◽  
Significant Role ◽  
Social Motivation ◽  
The Other ◽  
Social Evaluation ◽  
Sustainable Practices ◽  
Usage Phase ◽  
The Core

In this study we investigate how consumers in The Netherlands can be persuaded to adopt sustainable practices when purchasing, using and disposing of clothes. This study investigates the attitude-behavior gap for the sustainable choices for purchase, use and disposing of clothes. For each consumption phase we ran a two-step multiple regression. The findings showed that the importance of the factors vary in the three consumption phases. For purchasing and disposal decisions, the core motivator social motivation predicts sustainable practices best, while it has no role in the usage phase. The factor ability appeared to have a significant role in the disposal phase, but not in the other phases. Finally, the trigger appears to lower the consumers’ ability in the purchasing phase, while it enhances the core motivator social evaluation in the disposal phase.

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