Instability of the vertically forced surface wave in a circular cylindrical container

The nonlinear amplitude equation, which was derived by Jian Yongjun employing expansion of two-time scales in inviscid fluids in a vertically oscillating circular cylindrical vessel, is modified by introducing a damping term due to the viscous dissipation of this system. Instability of the surface wave is analysed and properties of the solutions of the modified equation are determined together with phase-plane trajectories. A necessary condition of forming a stable surface wave is obtained and unstable regions are illustrated. Research results show that the stable pattern of surface wave will not lose its stability to an infinitesimal disturbance.

Vertically forced surface wave in weakly viscous fluids bounded in a circular cylindrical vessel

Two-time scale perturbation expansions were developed in weakly viscous fluids to investigate surface wave motions by linearizing the Navier-Stokes equation in a circular cylindrical vessel which is subject to a vertical oscillation. The fluid field was divided into an outer potential flow region and an inner boundary layer region. A linear amplitude equation of slowly varying complex amplitude, which incorporates a damping term and external excitation, was derived for the weakly viscid fluids. The condition for the appearance of stable surface waves was obtained and the critical curve was determined. In addition, an analytical expression for the damping coefficient was determined and the relationship between damping and other related parameters (such as viscosity, forced amplitude, forced frequency and the depth of fluid, etc.) was presented. Finally, the influence both of the surface tension and the weak viscosity on the mode formation was described by comparing theoretical and experimental results. The results show that when the forcing frequency is low, the viscosity of the fluid is prominent for the mode selection. However, when the forcing frequency is high, the surface tension of the fluid is prominent.

Effect of surface tension on the mode selection of vertically excited surface waves in a circular cylindrical vessel

Singular perturbation theory of two-time-scale expansions was developed in inviscid fluids to investigate patternforming, structure of the single surface standing wave, and its evolution with time in a circular cylindrical vessel subject to a vertical oscillation. A nonlinear slowly varying complex amplitude equation, which involves a cubic nonlinear term, an external excitation and the influence of surface tension, was derived from the potential flow equation. Surface tension was introduced by the boundary condition of the free surface in an ideal and incompressible fluid. The results show that when forced frequency is low, the effect of surface tension on the mode selection of surface waves is not important. However, when the forced frequency is high, the surface tension cannot be neglected. This manifests that the function of surface tension is to cause the free surface to return to its equilibrium configuration. In addition, the effect of surface tension seems to make the theoretical results much closer to experimental results.

Surface waves in a vertically excited circular cylindrical container

The nonlinear free surface amplitude equation, which has been derived from the inviscid fluid by solving the potential equation of water waves with a singular perturbation theory in a vertically oscillating rigid circular cylinder, is investigated successively in the fourth-order Runge-Kutta approach with an equivalent time-step. Computational results include the evolution of the amplitude with time, the characteristics of phase plane determined by the real and imaginary parts of the amplitude, the single-mode selection rules of the surface waves in different forced frequencies, contours of free surface displacement and corresponding three-dimensional evolution of surface waves, etc. In addition, the comparison of the surface wave modes is made between theoretical calculations and experimental measurements, and the results are reasonable although there are some differences in the forced frequency.

Measurement of respiratory acoustic impedance in children by a modified forced oscillation method

An introduction to a modified forced oscillation method, square-wave excitation technique, including fundamentals and methods, as used in respiratory function examination. On the basis of experimental results and theoretical predictions, we suggest that Respiratory Acoustic Impedance (RAI) measurement by spectral analysis can significantly improve estimation of contribution to RAI from different part of respiratory tract. The outcome is of considerable interest in the study of lung disease, such as COPD and asthma in young children.

Forced oscillation technique in infants and young children

Due to its non-invasive character, the forced oscillation technique has gained importance in clinical research in infants and young children. Standardisation has enabled systematic and comparable measurements to be made in different laboratories throughout the world. The theoretical conditions are now fulfilled for use of these techniques in the clinical environment. This review discusses the principles, usefulness and pitfalls of various forced oscillation techniques in a research and clinical environment and the present and future clinical applications in children. It will focus particularly on the role of infant and preschool lung function as forced oscillation only requires minimal cooperation.

Assessment of bronchodilator responsiveness in preschool children using forced oscillations

BACKGROUND: The forced oscillation technique (FOT) requires minimal patient cooperation and is feasible in preschool children. Few data exist on respiratory function changes measured using FOT following inhaled bronchodilators (BD) in healthy young children, limiting the clinical applications of BD testing in this age group. A study was undertaken to determine the most appropriate method of quantifying BD responses using FOT in healthy young children and those with common respiratory conditions including cystic fibrosis, neonatal chronic lung disease and asthma and/or current wheeze. METHODS: A pseudorandom FOT signal (4-48 Hz) was used to examine respiratory resistance and reactance at 6, 8 and 10 Hz; 3-5 acceptable measurements were made before and 15 min after the administration of salbutamol. The post-BD response was expressed in absolute and relative (percentage of baseline) terms. RESULTS: Significant BD responses were seen in all groups. Absolute changes in BD responses were related to baseline lung function within each group. Relative changes in BD responses were less dependent on baseline lung function and were independent of height in healthy children. Those with neonatal chronic lung disease showed a strong baseline dependence in their responses. The BD response in children with cystic fibrosis, asthma or wheeze (based on both group mean data and number of responders) was not greater than in healthy children. CONCLUSIONS: The BD response assessed by the FOT in preschool children should be expressed as a relative change to account for the effect of baseline lung function. The limits for a positive BD response of -40% and 65% for respiratory resistance and reactance, respectively, are recommended.

Ultrafine Particles from Traffic Emissions and Children’s Health (UPTECH) in Brisbane, Queensland (Australia): Study design and implementation

Ultrafine particles are particles that are less than 0.1 micrometres (µm) in diameter. Due to their very small size they can penetrate deep into the lungs, and potentially cause more damage than larger particles. The Ultrafine Particles from Traffic Emissions and Children’s Health (UPTECH) study is the first Australian epidemiological study to assess the health effects of ultrafine particles on children’s health in general and peripheral airways in particular. The study is being conducted in Brisbane, Australia. Continuous indoor and outdoor air pollution monitoring was conducted within each of the twenty five participating school campuses to measure particulate matter, including in the ultrafine size range, and gases. Respiratory health effects were evaluated by conducting the following tests on participating children at each school: spirometry, forced oscillation technique (FOT) and multiple breath nitrogen washout test (MBNW) (to assess airway function), fraction of exhaled nitric oxide (FeNO, to assess airway inflammation), blood cotinine levels (to assess exposure to second-hand tobacco smoke), and serum C-reactive protein (CRP) levels (to measure systemic inflammation). A pilot study was conducted prior to commencing the main study to assess the feasibility and reliably of measurement of some of the clinical tests that have been proposed for the main study. Air pollutant exposure measurements were not included in the pilot study.

垂直激励圆柱形容器中的表面波结构

本文利用奇异摄动理论的两时间变量展开法，研究了垂直强迫圆柱形容器中的单一水表面驻波模式。假设流体是无粘、不可压且运动是无旋的，在忽略了表面张力的影响下，得到一个具有立方项以及底部驱动项影响的非线性振幅方程。对上述方程进行了数值计算，研究了特定(9，6)模式的表面驻波结构和特性，如驻波的节点分布及驻波随某些参数的变化规律等，从计算的等高线的图象来看，和以往的实验结果相当吻合。

Effects of g-jitter on the critical marangoni number

A half floating zone is fixed on a vibrational deck, which supports a periodical applied acceleration to simulate the effect of g-jitter. This paper deals with the effects of g-jitter on the fluid fields and the critical Marangoni number, which describes the transition from a forced oscillation of thermocapillary convection into an instability oscillatory convection in a liquid bridge of half floating zone with top rod heated. The responses of g-jitter field on the temperature profiles and flow pattern in the liquid bridge were obtained experimentally. The results indicated that the critical Marangoni number decreases with the increasing of g-jitter effect and is slightly smaller for higher frequency of g-jitter with fixed strength of applied gravity.

垂直激励圆柱形容器中的表面波特性研究

利用奇异摄动理论的两时间变量展开法,研究了垂直强迫激励圆柱形容器中的单一水表面驻波模式.假设流体是无粘、不可压且运动是无旋的,在忽略了表面张力的影响下,得到一个具有立方项以及底部驱动项影响的非线性振幅方程.对上述方程进行了数值计算,并研究了特定(3,4)模式的表面驻波结构和特性,如驻波的节点分布及随某些参数的变化规律等,从计算的等高线的图象来看,和以往的实验结果相当吻合.

刚性充液容器内竖直激励表面波研究进展

受外激励的充液刚性容器中流体的波动问题有实际的工程应用背景.竖直方向的受周期性外激励的充液容器的自由表面波问题--Faraday波问题是流体力学三大不稳定性难题之一(另外两个不稳定性问题是RayleighBénard对流和Taylor-Couette流).本文综述了在理想流体中和弱粘性流体中Faraday波的研究成果;介绍了作者在底部垂直激励的圆柱形容器中流体表面波图谱的实验研究和理论分析的结果.最后提出有待进一步研究的问题.

Análise das alterações decorrentes do envelhecimento na mecânica respiratória pela técnica de oscilações forçadas

O crescimento do percentual de idosos na população ocorre mundialmente tornando necessário conhecer o impacto do processo de envelhecimento, neste contexto, do sistema respiratório. O desconhecimento do impacto do envelhecimento associado a diferentes graus de exposição a poluentes e a presença de comorbidade(s) dificulta a diagnose das pneumopatias acarretando aos idosos piora da qualidade de vida. São vantagens da Técnica de Oscilações Forçadas (FOT): alto potencial de aplicação em idosos, fácil realização, análise detalhada da mecânica respiratória, desempenho de papel complementar, bem como de alternativa na impossibilidade de realização dos exames tradicionais. Foi realizado um estudo experimental comparativo que objetivou investigar o impacto do envelhecimento no sistema respiratório pela FOT e pela espirometria entre grupos de diferentes faixas etárias, sendo a idade a variável independente e as variáveis dependentes, os parâmetros oscilométricos resistência em regime contínuo (R0) e das vias aéreas centrais (Rm), inclinação da resistência (S), frequência de ressonância (fr), reatância média (Xm), complacência dinâmica (Cdin,sr) e os parâmetros espirométricos (VEF1, CVF, VEF1/CVF e FEF/CVF). Foram realizados entrevista, exame clínico, radiografia torácica, avaliação da mecânica respiratória pela FOT e da função pulmonar pela espirometria. 255 indivíduos com idades entre 20 e 86 anos foram entrevistados. Destes, 175 foram excluídos, restando os 80 voluntários analisados, que foram divididos em 6 grupos de acordo com a faixa etária (A: 20 a 29 anos; B: 30 a 39 anos; C: 40 a 49 anos; D: 50 a 59 anos; E: 60 a 69 anos; F: 70 anos ou mais). Foram utilizados os testes de Shapiro-Wilkins, na avaliação da normalidade dos dados biométricos em cada grupo, Oneway ANOVA, na comparação entre os grupos, e Tukey HSD na comparação entre as classes subjacentes. A análise da associação entre duas variáveis foi realizada inicialmente pela regressão univariada entre os parâmetros oscilométricos, a idade e a altura. A regressão múltipla entre os parâmetros oscilométricos, idade e altura foi realizada em conjunto. Foi realizada a análise de confundimento ou modificação de efeito sobre o parâmetro altura na relação entre a idade e os parâmetros oscilométricos. A correção pelo fator altura foi realizada quando sua análise apresentava fator de confundimento. Quanto aos parâmetros resistivos, não foram observadas alterações em R0 e Rm com o envelhecimento enquanto que o declínio observado em S é discreto e não-significativo. Em relação aos parâmetros reativos, verificouse que Cdin,sr e Xm diminuem enquanto que fr aumenta com o processo de envelhecimento. Todas estas alterações são significativas. Todavia, a diminuição da Cdin,sr não apresenta relação com a idade e sim com a altura, que constituiu modificação do efeito. Nos demais parâmetros oscilométricos, a altura constituiu fator de confundimento. Quanto à espirometria, observou-se declínio significativo do VEF1, do VEF1/CVF e da CVF. O índice FEF/CVF apresentou declínio nãosignificativo. Concluindo, a resistência do sistema respiratório e a complacência dinâmica não se modificam enquanto a homogeneidade do sistema respiratório diminui com o processo de envelhecimento.

Condições mecânicas do sistema respiratório em adultos com fibrose cística: estudo pela espirometria, pletismografia e técnica de oscilações forçadas

A fibrose cística (FC) é a doença autossômica recessiva mais comum na população branca que leva à redução na expectativa de vida. A doença pulmonar é a maior causa de morbidade e mortalidade. A relevância do presente estudo se dá diante de alguns fatores: aumento drástico da sobrevida média nos últimos 60 anos na FC, a fisiopatologia pulmonar não é bem compreendida, ausência de estudos reportados na literatura, até o momento, utilizando a técnica de oscilações forçadas (TOF) exclusivamente em adultos com FC. Assim sendo os objetivos deste estudo são: analisar as alterações da mecânica respiratória em adultos com FC através da espirometria, pletismografia e TOF; correlacionar os resultados da TOF aos espirométricos e pletismográficos e avaliar a sensibilidade e especificidade da TOF nestes indivíduos. É um estudo de corte transversal descritivo, no qual foram analisados dois grupos de indivíduos: controle (n=23) e FC (n=27). Os resultados foram expressos através média desvio-padrão. As técnicas funcionais respiratórias foram realizadas na seguinte sequência: TOF, espirometria, pletismografia. Na pletismografia foram avaliados os parâmetros: CPT (capacidade pulmonar total), CRF (capacidade residual funcional) e VR (volume residual), CRF/CPT e VR/CPT, resistência (Rva) e condutância específica das vias aéreas (SGva). Na espirometria: volume expiratório forçado no primeiro segundo (VEF1), capacidade vital forçada (CVF), fluxo expiratório entre 25% e 75% (FEF25%-75%) da CVF (FEF25%-75%) e razões VEF1/CVF (%) e FEF/CVF (%). Na TOF: propriedades resistivas do sistema respiratório- R0 (resistência no intercepto), Rm (resistência média) e S (inclinação da reta de resistência) e propriedades reativas: Cdin,sr (complacência dinâmica do sistema respiratório), Xm (reatância média), frequência de ressonância (fr); e o módulo da impedância em 4 Hz (׀Zrs4Hz׀). Na espirometria o distúrbio ventilatório obstrutivo (DVO) com CVF reduzida foi predominante, com marcante redução do FEF25%-75% no grupo FC (p<0,0001) em relação ao controle. Na pletismografia: destacou-se a elevação de VR, na presença de CPT normal e elevação da Rva e redução da SGva no grupo FC. Alterações da TOF ocorridas no grupo FC em relação ao controle: aumento de R0 e Rm (p<0,0001) e fr (p<0,0002), relacionados à obstrução das vias aéreas; redução de S (p<0,0006), Xm (p<0,0001) associadas à não-homogeneidade do sistema respiratório e Cdin,sr (p<0,0001), relacionada à redução da complacência pulmonar; aumento do módulo da impedância em 4 Hz (׀Zrs4Hz׀) (representando a carga mecânica total do sistema respiratório) resultante da interação das demais alterações da TOF citadas. Os parâmetros da TOF apresentaram correlações muito boas com a espirometria e moderadas com a pletismografia. Rm foi o único parâmetro que não se relacionou com nenhuma destas técnicas. A sensibilidade e especificidade da TOF em adultos com FC apresentaram valores elevados, sobretudo nos parâmetros reativos, em especial, Xm (85,2% e 73,9% respectivamente e área sob a curva de 0,86).