Investigation on average void fraction for air/non-Newtonian power-law fluids two-phase flow in downward inclined pipes

The present work has been carried out to investigate on the average void fraction of gas/non-Newtonian fluids flow in downward inclined pipes. The influences of pipe inclination angle on the average void fraction were studied experimentally. A simple correlation, which incorporated the method of Vlachos et al. for gas/Newtonain fluid horizontal flow, the correction factor of Farooqi and Richardson and the pipe inclination angle, was proposed to predict the average void fraction of gas/non-Newtonian power-law stratified flow in downward inclined pipes. The correlation was based on 470 data points covering a wide range of flow rates for different systems at diverse angles. A good agreement was obtained between theory and data and the fitting results could describe the majority of the experimental data within ±20%.

Verification of a scaling law in few-cycle laser pulses

The scaling law of photoionization in few-cycle laser pulses is verified in this paper. By means of numerical solution of time-dependent Schrodinger equation, the photoionization and the asymmetry degree of photoionization of atoms with different binding potential irradiated by various laser pulses are studied. We find that the effect of increasing pulse intensity is compensated by deepening the atomic binding potential. In order to keep the asymmetric photoionization unchanged, if the central frequency of the pulse is enlarged by k times, the atomic binding potential should also be enlarged by k times, and the laser intensity should be enlarged by k(3) times. (c) 2005 Optical Society of America.

A scaling law of photoionization in ultrashort pulses

By means of the numerical solution of time-dependant Schrodinger equation, we verify a scaling law of photoionization in ultrashort pulses. We find that for a given carrier-envelope phase and duration of the pulse, identical photoionizations are obtained provided that when the central frequency of the pulse is enlarged by k times, the atomic binding potential is enlarged by k times, and the laser intensity is enlarged by k(3) times. The scaling law allows us to reach a significant control over direction of photoemission and offers exciting prospects of reaching similar physical processes in different interacting systems which constitutes a novel kind of coherent control.

A scaling law of photoelectron angular distributions in one-cycle laser pulses

The photoelectron angular distributions (PADs) from above-threshold ionization of atoms irradiated by one-cycle laser pulses satisfy a scaling law. The scaling law denotes that the main features of the PADs are determined by four dimensionless parameters: (1) the ponderomotive number u(p) = U-p/hw, the ponderomotive energy U-p in units of laser photon energy; (2) the binding number E-b = E-b/h(w), the atomic binding energy E-b in units of laser photon energy; (3) the number of absorbed photons q; (4) the carrier-envelope phase phi(0), the phase of the carrier wave with respect to the envelope. We verify the scaling law by theoretical analysis and numerical calculation, compared to that in long-pulse case. A possible experimental test to verify the scaling law is suggested.

Modified formula of Malus' law for Glan-Taylor polarizing prisms

A simple three-axis model has been developed, which has been successfully applied to the analysis of the light transmittance in spatial incident angle and the simulation of modified formula of Malus' law for Glan-Taylor prisms. Our results indicate that the fluctuations on the cosine squared curve are due to specific misalignments between the axis of the optical system, the optical axis of the prism and the mechanical axis (rotation axis) of prism, which results in the fact that different initial relative location of the to-be-measured-prism in the testing system corresponds to different shape of Malus' law curve. Methods to get absolutely smooth curve are proposed. This analysis is available for other kinds of Glan-type prisms. (C) 2004 Elsevier B.V. All rights reserved.

A scaling law of photoionization in few-cycle regime

In this paper, a scaling law of photoionization of atoms irradiated by intense, few- cycle laser pulses is established. The scaling law sets a relation to the phase- dependent ionization with the kinetic energy of photoelectrons, the duration and peak intensity of short pulses, and the ionization potential of the target atoms. We find that it will be advantageous to manifest the phase- dependent photoionization by choosing the target atoms with larger ionization potential, using laser with smaller carrier- frequency, and increasing the pulse intensity. (c) 2007 Optical Society of America.

Stochastic optimal control

H. J. Kushner has obtained the differential equation satisfied by the optimal feedback control law for a stochastic control system in which the plant dynamics and observations are perturbed by independent additive Gaussian white noise processes. However, the differentiation includes the first and second functional derivatives and, except for a restricted set of systems, is too complex to solve with present techniques.

This investigation studies the optimal control law for the open loop system and incorporates it in a sub-optimal feedback control law. This suboptimal control law's performance is at least as good as that of the optimal control function and satisfies a differential equation involving only the first functional derivative. The solution of this equation is equivalent to solving two two-point boundary valued integro-partial differential equations. An approximate solution has advantages over the conventional approximate solution of Kushner's equation.

As a result of this study, well known results of deterministic optimal control are deduced from the analysis of optimal open loop control.

Autobiografia de ficção como matéria de historicidade em João do Rio e em João Gilberto Noll

A análise de arquivos jornalísticos para a formação do conceito de historicidade em torno das obras Memórias de um rato de hotel (1912), de João do Rio, e Bandoleiros (1985), de João Gilberto Noll, foi a nossa primeira contribuição para a formação do objeto autobiografia de ficção, ou autoficção, como também denominamos. A partir desses arquivos de memórias, relativos a dois contextos finisseculares, o XIX e o XX respectivamente, pudemos compreender a historicidade como matriz do nosso objeto autoficção, permeada pelo que Foucault chama de efetividade cotidiana. Essa efetividade do cotidiano é costurada pelo fio da oralidade, que se refere ao elenco das atividades humanas no todo social, tendo como principal característica a ação comunicativa entre os sujeitos. Assim, ligamos a oralidade à historicidade em duas perspectivas complementares: os ditos e os escritos. A primeira diz respeito aos processos da comunicação humana e suas trocas simbólicas, que são projetadas na cultura: os ditos. A segunda se refere ao produto das representações literais do sujeito, grafadas no dorso impresso da memória: os escritos. A memória é a chave de acesso à escrita do si, que se distingue do que chamamos de autoficção, porque nessa última prevalecem as experiências do tempo presente para o futuro. Memórias de um rato de hotel é a escrita de um Eu-autor, contando do cárcere as suas experiências de gatuno no contexto da belle époque carioca. Por meio da memória, ele reconstrói o contexto finissecular, enfatizando a degradação urbana e a decadência ética da burguesia em ascensão, nos tempos da recém-inaugurada República. Na autoficção Bandoleiros, temos o relato vertiginoso de um Eu-narrador, contando do seus fracassos literários e conjugais. Ele é um escritor decadente, transitando nos espaços degradados da pós-modernidade, retirando dessa perambulação o material vivo de seu livro Sol macabro. Nessa autoficção, Noll registra as impressões sobre a realidade dos 1980, focalizando as subjetividades agônicas à margem do capitalismo tardio, num trânsito indômito entre Porto Alegre, Rio de Janeiro e os Estados Unidos. Na nossa tese, compreendemos a realidade como a matéria plástica da autobiografia de ficção. A experiência mundana do escritor é também forte aliada na composição de uma estética subjetiva, ou subjestética, que está para além do auto-retrato narcísico da autobiografia, em suas formas tradicionais

Addressing students' difficulties with Faraday's law: A guided problem solving approach

In traditional teaching, the fundamental concepts of electromagnetic induction are usually quickly analyzed, spending most of the time solving problems in a more or less rote manner. However, physics education research has shown that the fundamental concepts of the electromagnetic induction theory are barely understood by students. This article proposes an interactive teaching sequence introducing the topic of electromagnetic induction. The sequence has been designed based on contributions from physics education research. Particular attention is paid to the relationship between experimental findings (macroscopic level) and theoretical interpretation (microscopic level). An example of the activities that have been designed will also be presented, describing the implementation context and the corresponding findings. Since implementing the sequence, a considerable number of students have a more satisfactory grasp of the electromagnetic induction explicative model. However, difficulties are manifested in aspects that require a multilevel explanation, referring to deep structures where the system description is better defined.