Ce travail concerne l’écoulement incompressible et stationnaire autour d’un cylindre semi-infini en rotation, et ses propriétés de stabilité linéaire. L’effet de la courbure et de la rotation sur la stabilité de cet écoulement est étudié de manière systématique. Avant d’étudier la stabilité, nous calculons d’abord l’écoulement de base. A grand nombre de Reynolds, une couche limite se développe le long du cylindre, ce qui permet d’utiliser l’approximation de couche limite des équations de Navier–Stokes. Ces équations dépendent de deux paramètres de contrôle sans dimension, le nombre de Reynolds (Re) et le taux de rotation (S), et sont résolues numériquement pour obtenir les profils de vitesse et de pression pour une large gamme des paramètres de contrôle. Une couche limite initialement mince s’épaissit avec la distance axiale; ainsi, son épaisseur devient comparable et finalement plus importante que le rayon du cylindre. Au-delà d’un certain taux de rotation, les effets centrifuges conduisent `a un jet de paroi le long d’une portion du cylindre. L’extension axiale de ce jet augmente avec le taux de rotation. L’intensité du jet augmente aussi avec S. Des analyses asymptotiques de l’écoulement à grande distance axiale et à fort taux de rotation sont aussi présentées. L’analyse de stabilité linéaire du précédent écoulement est effectuée dans l’approximation locale. Après une décomposition en modes normaux, les équations des perturbations sont transformées en un problème de valeur propre `a fréquence complexe (ω). Ce problème dépend de cinq paramètres sans dimension: Re, S, la distance axiale normalisée (Z), le nombre d’onde axial (α) et le nombre d’onde azimutal (m). Les équations de stabilité sont résolues numériquement pour étudier les régions instables dans l’espace des paramètres. On observe que de faibles taux de rotation ont un effet important sur la stabilité de l’écoulement. Cette forte déstabilisation est associée à la présence d’un mode quasi-marginal pour le cylindre fixe et qui devient instable pour de petites valeurs de S. Ce phénomène est confirmé par une analyse en perturbation `a petit S. Sans rotation, l’écoulement est stable pour tout Re < 1060, et pour Z > 0.81. Mais, en présence d’une faible rotation, l’instabilité n’est plus limitée par une valeur minimale de Re ou un seuil en Z. Les courbes critiques dans le plan (Z, Re) sont calculées pour une large gamme de S et les conséquences pour la stabilité de l’écoulement discutées. Enfin, un développement asymptotique pour le nombre de Reynolds critique est obtenu, valable aux grandes valeurs de Z. / This work concerns the steady, incompressible flow around a semi-infinite, rotating cylinder and its linear-stability properties. The effect of cylinder curvature and rotation on the stability of this flow is investigated in a systematic manner. Prior to studying its stability, we first compute the basic flow. At large Reynolds numbers, a boundary layer develops along the cylinder. The governing equations are obtained using a boundary-layer approximation to the Navier–Stokes equations. These equations contain two non-dimensional control parameters: the Reynolds number (Re) and the rotation rate (S), and are numerically solved to obtain the velocity and pressure profiles for a wide range of control parameters. The initially thin boundary layer grows in thickness with axial distance, becoming comparable and eventually larger than the cylinder radius. Above a threshold rotation rate, a centrifugal effect leads to the presence of a wall jet for a certain range of streamwise distances. This range widens as the rotation rate increases. Furthermore, the wall jet strengthens as S increases. Asymptotic analyses of the flow at large streamwise distances and at large rotation rates are presented. A linear stability analysis of the above flow is carried out using a local-flow approximation. Upon normal-mode decomposition, the perturbation equations are transformed to an eigenvalue problem in complex frequency (ω). The problem depends on five non-dimensional parameters: Re, S, scaled streamwise direction (Z), streamwise wavenumber (α) and azimuthal wavenumber m. The stability equations are numerically solved to investigate the unstable regions in parameter space. It is found that small amounts of rotation have strong effects on flow stability. Strong destabilization by small rotation is associated with the presence of a nearly neutral mode of the non-rotating cylinder, which becomes unstable at small S. This is further quantified using smallS perturbation theory. In the absence of rotation, the flow is stable for all Re below 1060, and for Z above 0.81. However, in the presence of small rotation, the instability becomes unconstrained by a minimum Re or a threshold in Z. The critical curves in the (Z, Re) plane are computed for a wide range of S and the consequences for stability of the flow described. Finally, a large-Z asymptotic expansion of the critical Reynolds number is obtained.

HEAT-grenades are wing-stabilized grenades using shaped charge technology. Theshaped charge is a method, producing a jet-beam, with the use of a copper linerin which the aim is to focus the detonation energy to be able to penetrate armourand structures. This jet-beam is only eective under a rotational frequency of 15Hz, any frequency above this and the produced jet-beam loses its eciency and willnot be able to penetrate its target. One approach to minimize the inner body'srotation is by using bearings. By the use of ball bearings the intention is to with-hold transferring the angular momentum from the outer rotating body to the innercylinder body. This thesis have been analysing how much rotation the warhead haveacquired from the outer rotation of the grenade divided in an acceleration phase anda ying phase. During the acceleration phase the rotation of the warhead is reach-ing a frequency of 0.35 Hz. Proposals are presented for improving and lowering therotational speeds for future studies.

Este trabalho apresenta a demonstração de dois teoremas sobre a caracterização de hipersuperf ícies maximais no espaço anti-de Sitter. Ambos os Teoremas 4.0.1 e 4.0.2 caracterizam hipersuperf ícies maximais isométricamente imersas no espaço anti-de Sitter Hn+1 1 com (n-1) curvaturas principais de mesmo sinal, com curvatura escalar constante e curvatura de Gauss-Kronecker constante não-nula, respectivamente, como sendo isométricas ao cilindro hiperbólico H1(c1)Hn1(c2). Também é feito um breve estudo do artigo [17], onde o Teorema 3.0.3 é ferramenta chave para a obtenção dos resultados demonstrados nos Teoremas 4.0.1 e 4.0.2. / This work presents, the demonstration of two theorems about the characterization of maximal hypersurfaces on the anti-de Sitter space. Both Theorems 4.0.1 and 4.0.2 characterize maximal hypersurfaces isometrically immersed in the anti-de Sitter space Hn+1 1 with (n-1) principal curvatures with the same sign, with constant scalar curvature and nonzero constant Gauss-Kronecker curvature, respectively, as being isometric to the hyperbolic cylinder H1(c1) Hn1(c2). Is also done a brief study of the article [17], where the Theorem 3.0.3 is key piece to obtain the results demonstrated in Theorems 4.0.1 and 4.0.2.

O objetivo deste trabalho é avaliar a influência sobre o número de swirl e desempenho do motor diesel a partir de cabeçotes fabricados com variação no posicionamento relativo dos dutos de admissão em duas direções perpendiculares. Inicialmente definiu-se que o valor a ser deslocado seria de 1 milímetro, e então para cada combinação entre os dutos de admissão curto e longo deveria ser fabricado um número mínimo de seis cabeçotes para posteriores ensaios em bancada com dinamômetro. Após a fundição fabricar as nove combinações definidas, sendo uma delas com os eixos em suas condições nominais, isto é, sem o deslocamento de um milímetro, obtiveram-se um total de 60 cabeçotes. Os cabeçotes foram então controlados em máquina tridimensional, usinados e montados todos os seus componentes e enviados para a medição do número de swirl em máquina desenvolvida especialmente para este teste. Para cada cabeçote mediu-se o número de swirl duas vezes, e em seguida cada uma das nove combinações foram ensaiadas no mesmo dinamômetro e avaliados os respectivos parâmetros: consumo específico de combustível, curva de torque e emissão de poluentes. Para cada combinação mediu-se a curva de torque duas vezes e mediu-se três vezes o ciclo de emissões com treze pontos (ESC). Nos resultados de swirl, três combinações apresentaram-se fora dos limites da tolerância, uma abaixo do mínimo da tolerância em 22,7% e as outras duas além do máximo da tolerância em respectivamente 18,2% e 17,8%. Nos resultados de dinamômetro, nenhuma combinação se apresentou fora dos limites estabelecidos para o modelo de motor ensaiado nos seguintes parâmetros: consumo específico de combustível, torque e emissões de CO, HC, MP e NOx. / The main purpose of this work is to evaluate the influence on the swirl number and the engine diesel performance based on cylinder heads produced with variation on relative positioning of inlet ports in two perpendicular directions. Firstly, it was defined that the value to be displaced would be 1 millimeter, and then for each combination between the short and the long inlet ports should be produced a minimum of six cylinder heads for further testing on the dynamometer. After the foundry production of the defined nine combinations, one of them having the axis in their nominal positions, i.e. without the displacement of 1 millimeter, a total of 60 cylinder heads were obtained. These cylinder heads were measured in a tridimensional machine, machined and all of their components were assembled and their swirl number were measured in the machine developed specially for this method. For each cylinder head the swirl number was measured twice and after that all nine combinations were performed at the same dynamometer and the following parameters were evaluated: fuel consumption, torque curve and pollutants emission. For each combination the torque curve was measured twice and the thirteen point\'s emissions cycle (ESC) was measured three times. Concerning the swirl results, three combinations ended up out of the tolerance limits, one of them as 22,7% below the minimum tolerance and the other two as 18,2% and 17,8% respectively over the maximum tolerance. Regarding the dynamometer results, no combination ended up out of defined tolerances for the kind of engine tested in the following parameters: fuel consumption specific, torque and emissions of CO, HC, PM and NOx.

O presente trabalho é o início de um estudo da aplicação do método de otimização conhecido como adjunto em escoamentos incompressíveis, viscosos e periódicos, envolvendo um problema de bastante interesse: a análise da aplicação de splitter plates em cilindros de seção circular. Conhecido por sua simplicidade, o splitter plate, que consiste em uma placa plana alinhada ao escoamento e colocada a jusante do corpo, é um dispositivo efetivo na mudança de comportamento da esteira de vórtices de Von Kárman. A partir da revisão bibliográfica foi possível entender a dinâmica do escoamento, proporcionando uma calibração dos modelos numéricos. Complementando esta etapa, foi efetuada uma análise da qualidade das malhas computacionais. Através de uma geração de diversas malhas computacionais, o espaço de soluções foi explorado buscando encontrar o mínimo arrasto para diversos comprimentos de splitter plate e diferentes números de Reynolds (Re). Foi observada a influência da placa na formação da esteira de vórtices, obtendo uma redução dos coeficientes de força do cilindro. Com esses dados, foi possível desenvolver o método de otimização voltado para análise do gradiente de sensibilidade conhecido como método adjunto baseado nas equações de Navier Stokes utilizando o problema descrito como base para validação dos resultados. A abordagem do método adjunto caracteriza-se pela busca dos extremos de funções conhecidas como medidas de mérito. Essas funções podem ser integrais de sustentação e arrasto por exemplo. Na literatura, o método adjunto é apresentado como possuindo duas grandes vantagens: a primeira é a imposição das equações do escoamento como restrições do problema, o que sempre confinará as variações da medida de mérito dentro do universo de soluções realizáveis; já a segunda é conseqüência da primeira, pois as restrições permitem uma simplificação no cálculo do gradiente de sensibilidade, reduzindo o custo computacional. Para o cálculo do gradiente de sensibilidade, o objetivo é otimizar o arrasto do cilindro sob efeito do splitter plate variando os parâmetros de controle (comprimento e posicionamento do splitter plate). A direção de busca e o cálculo do passo da geometria são obtidos a partir da relação entre a solução numérica do escoamento e as variáveis adjuntas calculadas. Nesta dissertação, será apresentada a pesquisa bibliográfica, os resultados do método tentativa e erro, a formulação do método adjunto baseado nas equações de Navier Stokes e um exemplo de sua solução numérica, demonstrando sua existência. / The report is the beginning of a research about the application of the so called adjoint method in the optimization of incompressive, viscous and periodic flows. The study involves a problem of great interest: an analysis of the implementation of splitter plates in the flow around cylinders with circular section. Widely recognized for its simplicity, the splitter plate consists of a flat plate, which is placed in the wake of a cylinder, in the stream wise direction, and it works by changing the way the shear layers interact with one another. Based on a literature survey, it is possible to understand the physics of this class of flows. As a better result, one learns what to expect from the numerical solutions and hence, one can calibrate its parameters. Moreover, we study the best configuration of the computational mesh, thus reducing the computational cost. After the generation of meshes, the universe of solutions was explored to find the minimum drag for various lengths of splitter plate and Reynolds number (Re). The influence of the plate in the interaction of the shear layers was observed in the reduction of drag coefficient. These results form a the basis for comparison, upon one can develop the optimization by the adjoint method. The adjoint method can be used to search the extreme of objective functionals. These functionals can be the lift and drag integrals for example. The theory presents two advantages to the method: first, the imposing the equations that govern the flow as variational constraints one limits the variations to the universe of realizable solutions; second, these constrains simplify the computation of the sensitivity gradient, by reducing its computational cost. To compute the sensitivity gradient, the objective functional can be defined as the average drag coefficient of the circular cylinder with a splitter plate. The control parameters are the length of the plate and the distance between it and the body, which known as gap. The search direction and the variation of geometry can be obtained by the relationship between the solutions to the flow and the adjoint equations. This final report shows the literature survey, the results of trial and error method and the formulation and one result of adjoint equations based on the incompressible NavierStokes equations.

The fow around bluff bodies is an essential topic in fuid dynamics. This fow is characterized by large vortical fow regions separating from the surface of the bluff body, and they cause oscillating drag and lift forces on the structure. The fow around an infinite long cylinder is a well-known case being studied in the literature. However, a cylinder with low aspect-ratio piercing the free surface has not been studied much although such an arrangement can be found in many floating offshore structures. In this thesis the results of CFD calculations are presented for a fixed, free surface piercing cylinder with an aspect-ratio L/D equals to 2. The Reynolds number was equal to 4:3 x 104 indicating that the flow is in the sub-critical turbulent regime. An extensive methodology of verication and validation is followed to investigate the reliability of the results. To investigate the effect of the free surface on the calculated hydrodynamic loads, two approaches have been considered: a double-body symmetry condition and an interface capturing Volume-of-Fluid (VoF) method. Additionally, two turbulence models are investigated: a two-equation turbulence model; a non-linear Explicit Algebraic Reynolds Stress Model (EARSM); and the Improved Delayed Detached Eddy Simulation (IDDES) turbulence model. The results are presented in terms of integral results (drag and lift coefficients) and flow visualizations. Based on the results of the cases in which the free surface was modeled as a double body symmetry boundary condition, it is concluded that the model is not suitable for this type of flow as the model damps out the flow dynamics due to over-production of eddy-viscosity. Hence, the characteristic oscillating lift forces are not captured using this turbulence model. However, this turbulence model showed good agreements regarding the flow fields in comparison with experimental PIV measurements. Results of the case modeled with EARSM turbulence model shows better agreement with the experimental results compared with the turbulence model. In the cases where the free-surface is considered, results with the EARSM turbulence model show similar results for the drag forces whereas the lift uctuations were one order of magnitude smaller, compared with the double body case. Lastly, the results using the IDDES turbulence model and free-surface VoF modeling are shown to produce the best comparison with the experimental results, regarding both, integral values and flow field results. / O escoamento ao redor de corpos rombudos é um tópico essencial na dinâmica de fluidos. O escoamento é caracterizado por regiões com grande vorticidade que se separam do corpo e causam oscilações das forças de arrasto e sustentação sobre a estrutura. O escoamento ao redor de cilindros longos é um tema que tem sido extensivamente estudado com muitos trabalhos encontrados na literatura. Entretanto, o cilindro com baixa razão de aspecto perfurante à superfície livre é um caso pouco estudado, apesar desta estrutura ser encontrada em várias estruturas oceânicas flutuantes. Esta dissertação apresenta cálculos numéricos para o escoamento ao redor de um cilindro fixo, que trespassa a superfície livre com razão de aspecto L/D igual a 2. O problema é estudado em um regime subcrítico de turbulência, com número de Reynolds igual a 4:3 x 104. Uma vasta metodologia de verificação e validação foi seguida para avaliar a confiabilidade dos resultados obtidos numericamente. Para investigar os efeitos da superfície livre nas cargas hidrodinâmicas, duas abordagens s~ao consideradas: condição de simetria de duplo corpo e um método de captura de interface Volume of Fluid. Além disso, dois modelos de turbulência foram investigados: o modelo não linear Explicit Algebraic Reynolds Stress Model (EARSM), e o modelo de turbulência Improved Delayed Detached Eddy Simulation (IDDES). Os resultados relacionados aos coeficientes de arrasto e sustentação são apresentados a partir de análise estatística, complementados através de ilustrações que permitem visualizar os campos de escoamento e pressão. Com base nos resultados de casos em que a superfície livre é modelada com uma condição de contorno de simetria, conclui-se que o modelo de turbulência não é adequado para este tipo de escoamento, pois o modelo amortece a dinâmica do escoamento devido à superprodução de viscosidade turbulenta. Consequentemente, as oscilações na força de sustentação não são capturadas usando este modelo. Entretanto, resultados dos campos médios do escoamento mostram-se concordantes com imagens experimentais obtidas com técnicas de PIV - Particle Image Velocimetry. Resultados do caso modelado com o modelo de turbulência EARSM mostram melhores concordâncias na comparação dos parâmetros estatísticos com experimentos do que o modelado com o modelo EARSM. Nos casos em que a superfície livre é modelada com o método VoF, o modelo de turbulência EARSM mostra resultados semelhantes para o arrasto, enquanto as flutuações da sustentação apresentam-se uma ordem de grandeza menores, quando comparadas ao caso de duplo corpo. Resultados usando o modelo de turbulência IDDES e VoF apresentam melhores comparações aos resultados experimentais, tanto para os parâmetros estatísticos quando para as visualizações do escoamento.

O objetivo deste trabalho é avaliar a influência sobre o número de swirl e desempenho do motor diesel a partir de cabeçotes fabricados com variação no posicionamento relativo dos dutos de admissão em duas direções perpendiculares. Inicialmente definiu-se que o valor a ser deslocado seria de 1 milímetro, e então para cada combinação entre os dutos de admissão curto e longo deveria ser fabricado um número mínimo de seis cabeçotes para posteriores ensaios em bancada com dinamômetro. Após a fundição fabricar as nove combinações definidas, sendo uma delas com os eixos em suas condições nominais, isto é, sem o deslocamento de um milímetro, obtiveram-se um total de 60 cabeçotes. Os cabeçotes foram então controlados em máquina tridimensional, usinados e montados todos os seus componentes e enviados para a medição do número de swirl em máquina desenvolvida especialmente para este teste. Para cada cabeçote mediu-se o número de swirl duas vezes, e em seguida cada uma das nove combinações foram ensaiadas no mesmo dinamômetro e avaliados os respectivos parâmetros: consumo específico de combustível, curva de torque e emissão de poluentes. Para cada combinação mediu-se a curva de torque duas vezes e mediu-se três vezes o ciclo de emissões com treze pontos (ESC). Nos resultados de swirl, três combinações apresentaram-se fora dos limites da tolerância, uma abaixo do mínimo da tolerância em 22,7% e as outras duas além do máximo da tolerância em respectivamente 18,2% e 17,8%. Nos resultados de dinamômetro, nenhuma combinação se apresentou fora dos limites estabelecidos para o modelo de motor ensaiado nos seguintes parâmetros: consumo específico de combustível, torque e emissões de CO, HC, MP e NOx. / The main purpose of this work is to evaluate the influence on the swirl number and the engine diesel performance based on cylinder heads produced with variation on relative positioning of inlet ports in two perpendicular directions. Firstly, it was defined that the value to be displaced would be 1 millimeter, and then for each combination between the short and the long inlet ports should be produced a minimum of six cylinder heads for further testing on the dynamometer. After the foundry production of the defined nine combinations, one of them having the axis in their nominal positions, i.e. without the displacement of 1 millimeter, a total of 60 cylinder heads were obtained. These cylinder heads were measured in a tridimensional machine, machined and all of their components were assembled and their swirl number were measured in the machine developed specially for this method. For each cylinder head the swirl number was measured twice and after that all nine combinations were performed at the same dynamometer and the following parameters were evaluated: fuel consumption, torque curve and pollutants emission. For each combination the torque curve was measured twice and the thirteen point\'s emissions cycle (ESC) was measured three times. Concerning the swirl results, three combinations ended up out of the tolerance limits, one of them as 22,7% below the minimum tolerance and the other two as 18,2% and 17,8% respectively over the maximum tolerance. Regarding the dynamometer results, no combination ended up out of defined tolerances for the kind of engine tested in the following parameters: fuel consumption specific, torque and emissions of CO, HC, PM and NOx.

Nas últimas décadas, questões sobre o controle de emissões em motores à combustão interna e sobre a redução de consumo de combustível vêm sendo debatidas globalmente, com claros desdobramentos em especificações de controles mais restritos, a fim de permitir a comercialização de novos motores à combustão interna a consumidores mais exigentes, que presam pela qualidade de vida e meio ambiente. Mesmo com a introdução de novas tecnologias, os motores ainda apresentam uma grande perda da energia gerada por conta do atrito mecânico. Com base neste contexto, os projetos dos novos motores visam uma melhor eficiência térmica e mecânica, com auxílio de soluções de engenharia que possam beneficiar o desempenho dos motores, resultando em uma melhor queima do combustível e menor atrito. Um dos contribuintes mais relevantes para o atrito num motor é o sistema pistão-anel de pistão-camisa de cilindro que é o foco de muitos trabalhos em busca da redução das perdas por atrito. As propriedades dos filmes à base de carbono tipo diamante (Diamond-Like Carbon - DLC) são bem conhecidas por apresentam alta resistência ao desgaste e baixo coeficiente de atrito, tornando-se adequados para diferentes aplicações tribológicas. O presente trabalho discute a viabilidade técnica de se aplicar um filme DLC amorfo hidrogenado, com gradiente de composição química, sobre a superfície interna brunida de camisas de cilindro para redução do atrito. A metodologia aborda duas espessuras de filme: 2,5 e 12,5 &mu;m, depositadas pelo processo de deposição química em fase vapor assistida por plasma (PACVD), como alternativa para redução do atrito do motor e, consequentemente, redução no consumo específico de combustível, e ainda na redução do desgaste dos anéis de pistão e da superfície de trabalho da camisa de cilindro. Comparando camisas de cilindro com mesma rugosidade na superfície interna, denominadas camisas de referência (sem revestimento interno) e camisas recobertas com filme DLC, testes de bancada com movimento recíproco de contato mostraram redução do coeficiente de atrito (COF) em até 19%. Testes de motor ciclo Otto e Diesel em banco de prova com dinamômetro conferiram, respectivamente, uma redução da pressão média efetiva de atrito (FMEP) do motor em até 12% e consumo específico de combustível (BSFC) em até 2,5% em rotações de 1000 a 1400 rpm. / In the last few decades questions about emissions level control for internal combustion engines as well as fuel consumption reduction have been debated in a global bases with clear deployments in more restricted control specifications to allow the commercialization of new internal combustion engines to more restrictive markets that look for a better life quality and environment. Even with the introduction of new technologies the engines still present a significant loss of energy due to the mechanical friction. With base in this context, the new development projects seek for high mechanical-thermal efficiency linked with engineer that can benefit the engine performance with a better combustion process and reduced friction as well. One of the most relevant contributors for the friction in an engine is the piston-piston ring-cylinder liner system which has been the focus of many research works with focus on reduce engine friction losses. The properties of Diamond-Like Carbon films (DLC) are well-known such as superior wear resistance and low friction coefficients that makes suitable for many different tribology applications. This work evaluates the application of a graded hydrogen amorphous DLC film with applied over cylinder liner running surface. The methodology approach two coating thickness: 2.5 and 12.5 &mu;m, deposited by the plasma assisted chemical vapor deposition process (PACVD) as the alternative solution for engine friction reduction and thus a reduction on brake specific fuel consumption (BSFC), and a improved wear resistance behavior of the piston rings and cylinder liner contact surfaces as well. By using baseline parts without inner DLC coating and DLC coated parts with similar running roughness surfaces, comparative reciprocating bench tests showed a tendency of coefficient of friction (COF) reduction in up to 19%. In a same trend, fired gasoline and diesel engine tests showed a friction mean effective pressure reduction (FMEP) in to 12% and small brake specific fuel consumption (BSFC) in up to 2.5% at low engine speed range respectively.

Thesis (M. Optometry) -- University of Limpopo, 2019 / BACKGROUND The measurement of the refractive end point plays a major role in the assessment of the refractive status of the patient. Currently, there are very few techniques if not one that can measure the refractive end point of the patient. The current method which is the duochrome technique is based on chromatic aberration. Until now there is no test for refractive end point that is not based on chromatic aberration. Therefore, it was against this background that the current study was undertaken to investigate an alternative for the duochrome technique to measure the refractive end point. AIM OF THE STUDY The aim of this study was to establish the use of cross grid in conjunction with Jackson crossed cylinders at distance as a monocular refractive end point technique. METHODOLOGY A cross-sectional analytic and descriptive study design was used. Sixty-four subjects (31 males and 33 females) were included in this study. Their ages ranged from 18 to 37 years with a mean of 20.75 years (SD = ± 2.67 years). The participants were University of Limpopo Optometry students. Ethical approval to perform this study was obtained from the Turfloop Research Ethics Committee (TREC) of University of Limpopo. All participants were made aware of the purpose of the study, and signed consent was obtained from each participant. All investigations and measurements adhered to the tenets or principles, belief and requirements of the Declaration of Helsinki. Optometric procedures performed included visual acuity, subjective measurement of refractive error, monocular refractive end point using duochrome technique and monocular refractive end point measurement using gross grid in conjunction with the cross grid. Data analysis was done using the Statistical Package for Social Sciences (SPSS) Version 23. Paired sample t-test was performed on all the procedures. RESULTS The uncorrected distance VA for the right eyes (OD) ranged from -0.30 LogMAR to 1.00 LogMAR with a mean of -0.25 LogMAR (SD = ±0.32). The nearest equivalent spherical powers (NSE = sphere +0.5 cylinder) for the right eye ranged from -4.25 to +4.25D (mean = -0.13, SD= ±1.09D) and from -4.50D to +1.00D (mean = +0.07 ±0.94D) for the left eye. After the removal of outliers, the refractive end point measurements with the duochrome technique for the right eyes ranged from -4.50D to 3.50D with a mean of -0.269, SD (±1.037) in bright illumination and from -4.50D to 4.50D with a mean of -1.914 (±1.101) in dim illumination. Subsequently, the NSE with the crossed cylinder in conjunction with the cross grid technique for the right eyes in bright illumination ranged from -4.75D to 4.75D with a mean of -0.481, SD (±1.037) and from -4.25D to 0.50D with a mean of -0.427 (±0.860) in dim illumination. Sample Pearson correlation coefficients for end point with duochrome and crossed cylinder found that the highest correlation is between the duochrome in bright and cross grid in dim illumination (r = 0.701, p < 0.05), while duochrome in dim and cross grid in bright illumination had the lowest correlation (r = 0.659). The Bland–Altman plots showed that there was a good agreement between the duochrome methods and between the crossed cylinder method methods. CONCLUSION the refractive end point measurements obtained from duochrome and cross grid are well correlated and comparable, suggesting that they could be used interchangeably in most clinical settings. However, caution is needed when using measurements obtained by cross grid method in dim illumination.

L'arrivée de nouveaux matériaux dans les industries manufacturières engendre de nouvelles problématiques de contrôle. C'est notamment le cas pour l'entreprise SKF qui introduit dans ses roulements des rouleaux en céramique. Ces rouleaux peuvent avoir deux géométries différentes, en forme de cylindre ou de tonneau. La plupart des méthodes de Contrôle Non Destructif dédiées aux rouleaux en acier ne sont pas exploitables pour ceux en céramique, c'est pourquoi il est nécessaire de développer une nouvelle approche. Dans ces travaux, nous nous sommes intéressés à la méthode Ultrasons-Laser. L'utilisation de lasers permet de générer et de détecter des ondes ultrasonores sans contact sur des structures en acier ou en céramique. Une étude des diagrammes de directivité pour les sources les plus communes et le calcul des courbes de dispersion liées à la géométrie cylindrique ont été effectués. Ces éléments nous ont permis d'interpréter les signaux acquis expérimentalement. Nous avons alors pu montrer que la méthode était efficace pour la détection de défauts de différentes natures sur des rouleaux de forme cylindrique en acier et en céramique. Une méthode originale a été proposée et étudiée théoriquement et expérimentalement afin de réduire significativement le temps de contrôle d'un rouleau et ainsi optimiser la méthode. Cette méthode a été étendue avec succès aux rouleaux de forme "tonneau". / The development of new materials in industries creates new issues about their control. It is the case for SKF introduces ceramic rollers in its bearings. These rollers can have two different geometries, cylinder or barrel. Most methods of Non Destructive Testing developed for steel rollers analysis are not adapted for ceramic rollers. In fact, these equipments use electrical of metal materials properties to control a solid. In consequence, it is necessary to develop a new approach for ceramic structures. In this report, we are studying Ultrasonics Laser method. The use of lasers allows to generate and to detect ultrasound waves without contact on steel or ceramic media. A study of directivity patterns for the most common thermoelastic sources and calculation of dispersive curves due to cylindrical geometry have been done. The results of these studies allow us to interpret different signals obtained during ours experimentations. We have shown that the method was efficient for the detection of different types of defects present on ceramic and steel rollers. An original approach has been proposed and studied, theoretically and experimentally, to reduce significantly the time of control for a cylindrical roller. This approach have been extended to a ceramic barrel roller with success.