Capillary phenomena. Part 17.—Properties of fluid rings between a sphere above a horizontal plane in a gravitational field

1982 ◽  
Vol 78 (5) ◽  
pp. 1491 ◽  
Author(s):  
Ernest A. Boucher ◽  
Timothy G. J. Jones
Keyword(s):  
Gravitational Field ◽  
Horizontal Plane ◽  
Capillary Phenomena

Gravitational acceleration of a weakly relativistic electron in a conducting drift tube

2018 ◽  
Vol 33 (33) ◽  
pp. 1850192 ◽  
Author(s):  
V. I. Denisov ◽  
I. P. Denisova ◽  
M. G. Gapochka ◽  
A. F. Korolev ◽  
N. N. Koshelev
Keyword(s):  
Gravitational Field ◽  
Relativistic Electron ◽  
Horizontal Plane ◽  
Drift Tube ◽  
Gravitational Force ◽  
Vertical Direction ◽  
Gravitational Acceleration ◽  
The Earth ◽  
Earth’S Gravitational Field

We propose the idea of method for observing the effect of the Earth’s gravitational field on the motion of an electron. Earlier attempts to measure such an effect proved unsuccessful due to the fact that under the conductive sheath, the gravitational force acting on the non-relativistic electron is completely compensated by Barnhill–Schiff force. Therefore, experiments of this kind were unable to measure the effect of the Earth’s gravitational field on the motion of electrons. In this paper, we propose to use electrons moving with relativistic speeds in the horizontal plane, and with non-relativistic speeds in the vertical direction, in which case the gravitational force on these electrons is not fully compensated by the Barnhill–Schiff force. Calculations showed that in this case, it is possible to measure the force exerted on an electron by the gravitational field of the Earth.

Capillary phenomena. IV. Thermodynamics of rotationally-symmetric fluid bodies in a gravitational field

1978 ◽  
Vol 358 (1695) ◽  
pp. 519-533 ◽  
Keyword(s):  
Gravitational Field ◽  
Experimental System ◽  
Contact Radius ◽  
Capillary Phenomena ◽  
Rotationally Symmetric ◽  
Independent Variable ◽  
Constant Contact Angle ◽  
Solid Bodies ◽  
Experimental Use ◽  
Sessile Drops

A thermodynamic treatment is given of rotationally-symmetric fluid bodies in a gravitational field, termed pendent and sessile drops, captive and emergent bubbles, and holms, meeting solid bodies at constant contact radius Xe , or constant contact angle θ. Parts I, II and III (Boucher & Evans 1975; Boucher, Evans & Kent 1976; Boucher & Kent 1977 a), give the properties of these systems, mainly on the basis of the numerical computations of their meridia. The analyses yield expressions for the equilibrium of a system following a path, e.g. with the enveloped-bubble volume Va> e as the independent variable. Of importance for the experimental use of these systems, in e.g. interfacial tension determination, are the conditions for the onset of instabilities depending on the conditions: e.g. captive bubbles and sessile drops have pressure maxima with Xe constant, but not for θ constant. With holms meeting solid bodies, e.g. rods and spheres, the height of the solid is an independent variable, and especially with spheres, the predicted behaviour relating to their detachment is complex. The study reveals the distinction between absolute and excess (differential) applied-force on mechanically raising solids. The detection of instabilities depends on a distinction between stress-controlled and strain-controlled mechanical manipulation of an experimental system. The general presentation permits extensions of the treatment to other physically realizable systems. Features of the holm systems occur with technologically important processes (e.g. crystal growth from the melt).

scholarly journals Methods of gravitational tomography based on F-approximation

2020 ◽  
Author(s):  
И.А. Керимов
Keyword(s):  
Spectral Analysis ◽  
Spatial Distribution ◽  
Gravitational Field ◽  
Horizontal Plane ◽  
A Priori ◽  
A Priori Information ◽  
Approximation Approach ◽  
Computer Technologies ◽  
Priori Information ◽  
Field Element

Актуальностьработы. В настоящее время одним из актуальных направлений теории и практики интерпретации потенциальных полей является разработка методов, направленных на изучение пространственного распределения плотностей по результатам обработки и интерпретации данных гравиразведки в заданном объеме геологической среды при минимуме априорной информации об источниках поля в заданном объеме при минимуме априорной информации об источниках поля. Цель работы разработка методов гравитационной томографии на основе аппроксимационного подхода к спектральному анализу в гравиметрии, получившего название методаF-аппроксимации.Методы исследования.Разработка алгоритмов и компьютерных технологий спектрального анализана основе аппроксимационного подхода в рамках метода линейных интегральных представленийВ.Н. Страхова,способов решения систем линейных алгебраических уравнений (СЛАУ) большой размерности с использованием теории решения некорректных задач. Результаты работы.Рассмотренывопросы разработки методов гравитационной томографиина основе F-аппроксимации аномального поля силы тяжести, который характеризуется полной адекватностью реальной геофизической практике и позволяющий избавиться от различных идеализаций (идеализация плоского поля идеализация границы раздела земля-воздух как бесконечной горизонтальной плоскости идеализация непрерывного задания того или иного элемента поля на бесконечной горизонтальной плоскости или куске этой плоскости идеализация задания того или иного элемента поля в узлах правильной геометрической сети и др.).Предложены три модификации гравитационной томографии на основе F-аппроксимации. Первая модификация основана на изучении пространственного распределения элементов гравитационного поля. В рамках данной модификации на основе F-аппроксимации выполняется изучение распределение различных производных аномального гравитационного поля в нижнем и верхнем полупространствах. Вторая модификация заключается в разделении аномального гравитационного поля на составляющие, обусловленные источниками, залегающими в пределах существенно различающихся по глубине m структурных этажей. В статье рассмотрен вариант разделения аномального поля для случая двух структурных этажей. Для данного варианта разработаны алгоритм и компьютерные технологии, метод апробирован на модельных и реальных геолого-гравиметрических материалах. Третья модификация заключается в нахождении пространственного распределения функции Страхова, являющейся обобщением функции Березкина. Разработан алгоритм и компьютерные технологии расчетов пространственного распределения данного показателя и получения пространственного куба данных. Relevance. Currently, one of the significant directions of the theory and practice for interpreting potential fields is the development of methods aimed at studying the spatial distribution of densities from the results of processing and interpretation of gravitation prospecting data in a given volume of a geological environment with a minimum of a priori information about field sources of a given volume with a minimum a priori information about the sources of the field. The aim of the work is to develop methods of gravitational tomography based on the approximation approach to spectral analysis in gravimetry, which is called the F-approximation method. Methods. Development of spectral analysis algorithms and computer technologies, based on the approximation approach in the framework of the method of linear integral representations that was offered by B.N. Strakhov. Methods for solving systems of linear algebraic equations (SLAE) of large dimension using the solution theory of ill-posed problems. Results. Issues of the development of gravity tomography methods based on the F-approximation of the anomalous gravity field, which is characterized by complete adequacy of real geophysical practice and allowing to get rid of various idealizations (idealization of a flat field idealization of the earth-air interface as an infinite horizontal plane idealization of a continuous setting of a particular field element on an infinite horizontal plane or a piece of this plane idealization of the setting another field element at the nodes of a regular geometric network, etc.) Three modifications of gravitational tomography based on the F-approximation are proposed. The first modification is based on the study of the spatial distribution of the elements of the gravitational field. In the framework of this modification, based on the F-approximation, we study the distribution of various derivatives of the anomalous gravitational field in the lower and upper half-spaces. The second modification consists in dividing the anomalous gravitational field into components due to sources lying within structural floors that differ significantly in m depth. The article considers the option of separating the anomalous field for the case of two structural floors. For this option, an algorithm and computer technologies have been developed, the method has been tested on model and real geological and gravimetric materials. The third modification is to find the spatial distribution of the Strakhov function, which is a generalization of the Berezkin function. An algorithm and computer technology for calculating the spatial distribution of this indicator and obtaining a spatial cube of data have been developed

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