Aerodynamic Analysis of Open Trailing Edge Airfoils at Low Reynolds Number

A study has been made on the influence of the open trailing edge in airfoils used in different devices relating their aerodynamic performances. Wind tunnel tests have been made at different Reynolds numbers and angles of attack in order to show this effect. Besides, a quantitative study of the aerodynamic properties has been made based on the different trailing edge thickness

Influence of open trailing edge on laminar aerofoils at low Reynols number

This article deals with the effect of open trailing edge on the aerodynamic characteristics of laminar aerofoils at low Reynolds numbers, the attention being focussed on the influence of such a trailingedge imperfection on the aerodynamic efficiency. Wind tunnel tests have been performed at different Reynolds numbers and angles of attack, and global aerodynamic as well as pressure distributions were measured (in these tests two types of open trailing edges, either sharp or rounded were considered). From experimental results, a quantitative analysis of the influence of the trailing-edge thickness on the degradation of aerofoil aerodynamic performances has been obtained, which allows the establishment of a criterion for an acceptance limit for this kind of imperfection.

Aerodynamic study of airfoils geometric imperfections at low Reynolds number

The interest of this study is based on the observation that some manufacturing processes of various vehicles wings, such as unmanned aerial vehicle (UAV), or blades, such as wind turbine blades, or other devices that use aerodynamic profiles, produce imperfections in the leading edge or open trailing edge with bigger thickness than original airfoil, because, for example, they are manufactured in two parts, top surface and bottom surface and subsequently joined. In this last step might appear a sliding between the top surface and the bottom surface having a small step on the leading edge or a small thickness gain can occur on the trailing edge. Normally these imperfections are corrected through a refill and/or sanding processes using many hours of manual labor. Therefore the initial objective of this research is to determine the level of influence in the aerodynamic characteristics at low Reynolds numbers (Lissaman, 1981, Carmichael, 1981, Nagamatsu and Cuche, 1981, Schmitz, 1957, Cebeci, 1989, Mueller and Batill, 1982) of these imperfections in the manufacture, and determine whether there may be a value for which it would not be necessary to correct them

Far wake structure in rarefied plasma flows past charged bodies

The asymptotic structure of the far-wake behind a charged body in a rarefied plasma flow is investigated under the assumption of small ion-to-electron temperature ratio and of flow speed hypersonic with respect to the ions but not with respect to the electrons. It is found that waves are excited even if the flow is subacoustic (flow velocity less than the ion-acoustic speed). For both superacoustic and subacoustic velocities a steep wave front develops separating the weakly perturbed, quasineutral plasma ahead, from the region behind where ion waves appear. Near the axis a trailing front develops;the region between this and the axis is quasineutral for superacoustic speeds. The decay laws in all of these regions, the self-similar structure of the fronts and the general character of the waves are determined.The damping of the waves and special flow detail for bodies large and small compared with the Debye length are discussed. A nonlinear analysis of the leading wave front in superacoustic flow is carried out. A hyperacoustic equivalence principle is presented.

Laminar-turbulent transition induced by a discrete roughness element in a supersonic boundary layer

The linear instability and breakdown to turbulence induced by an isolated roughness element in a boundary layer at Mach 2:5, over an isothermal flat plate with laminar adiabatic wall temperature, have been analysed by means of direct numerical simulations, aided by spatial BiGlobal and three-dimensional parabolized (PSE-3D) stability analyses. It is important to understand transition in this flow regime since the process can be slower than in incompressible flow and is crucial to prediction of local heat loads on next-generation flight vehicles. The results show that the roughness element, with a height of the order of the boundary layer displacement thickness, generates a highly unstable wake, which is composed of a low-velocity streak surrounded by a three-dimensional high-shear layer and is able to sustain the rapid growth of a number of instability modes. The most unstable of these modes are associated with varicose or sinuous deformations of the low-velocity streak; they are a consequence of the instability developing in the three-dimensional shear layer as a whole (the varicose mode) or in the lateral shear layers (the sinuous mode). The most unstable wake mode is of the varicose type and grows on average 17% faster tan the most unstable sinuous mode and 30 times faster than the most unstable boundary layer mode occurring in the absence of a roughness element. Due to the high growthrates registered in the presence of the roughness element, an amplification factor of N D 9 is reached within 50 roughness heights from the roughness trailing edge. The independently performed Navier–Stokes, spatial BiGlobal and PSE-3D stability results are in excellent agreement with each other, validating the use of simplified theories for roughness-induced transition involving wake instabilities. Following the linear stages of the laminar–turbulent transition process, the roll-up of the three-dimensional shear layer leads to the formation of a wedge of turbulence, which spreads laterally at a rate similar to that observed in the case of compressible turbulent spots for the same Mach number.

Análisis de la influencia del borde de salida abierto en perfiles aerodinámicos a bajos números de Reynolds

El objetivo del presente trabajo es analizar la influencia que tiene sobre el comportamiento aerodinámico del perfil el hecho de que este presente un borde de salida más grueso que el perfil original del que se partía. Este estudio se ha centrado fundamentalmente en la influencia sobre su sustentación aerodinámica, resistencia aerodinámica y, especialmente, sobre la eficiencia aerodinámica del perfil, es decir sobre la relación entre la sustentación y la resistencia aerodinámica. También se ha analizado su influencia en otros aspectos aerodinámicos de los perfiles, como la entrada en pérdida, el ángulo de ataque de sustentación máxima, el ángulo de ataque de eficiencia máxima, el coeficiente de momento aerodinámico y la posición del centro aerodinámico. Estas imperfecciones en el borde de salida pueden aparecer en algunos procesos de fabricación de determinados elementos aerodinámicos, como alas de aviones no tripulados o palas de aeroturbina. Este fenómeno no ha sido analizado en profundidad en la literatura científica, aunque si que se ha analizado por varios autores la influencia sobre el perfil con el borde de salida truncado, o perfiles con la parte final regruesada, utilizados en otras aplicaciones. Para la realización de este estudio se han analizado perfiles de distinto tipo, laminares y no laminares, perfiles simétricos y con curvatura, así como perfiles con distinto espesor, a fin de comparar el grado de influencia del fenómeno estudiado sobre cada tipo de perfil para comparar su grado de sensibilidad a dicha anomalía geométrica. El estudio se ha realizado experimentalmente utilizando una cámara de ensayos diseñada específicamente a tal efecto, así como una balanza electrónica para medir las fuerzas y los momentos sobre el perfil, y un escáner de presiones para medir la distribución de presiones en determinados casos. También se ha abordado el estudio del comportamiento de perfiles con borde de salida más grueso que el nominal pero redondeado en vez de romo, con el objeto de analizar la eficacia de redondear el borde de salida, que es uno de los métodos que se puede utilizar para mitigar este efecto. Por otro lado, como el comportamiento de los perfiles aerodinámicos tiene una fuerte dependencia del número de Reynolds, el estudio se ha centrado en el análisis del comportamiento a bajos números de Reynolds debido a su uso reciente en una amplia gama de aplicaciones, desde vehículos aéreos no tripulados (UAV) hasta palas de aeroturbinas de baja potencia, e incluso debido a su uso potencial en aeronaves diseñadas para volar en atmósferas de baja densidad como la que existe en Marte. El interés de este estudio está orientado al establecimiento de criterios para cuantificar la influencia que tiene el hecho de que el borde de salida sea más grueso que el nominal en la degradación de su eficiencia aerodinámica máxima, con el objeto de poder establecer los límites de aceptación o rechazo de estas piezas una vez fabricadas, según el tipo de perfil aerodinámico utilizado. Del resultado del análisis de los casos estudiados se puede concluir que según aumenta el espesor del borde de salida, dentro del intervalo de estudio, la sustentación aerodinámica aumenta, así como la sustentación máxima, pero aumenta en mayor proporción la resistencia aerodinámica, por lo que se produce una reducción de la eficiencia aerodinámica, en particular de su valor máximo. Por otro lado, el hecho de redondear el borde de salida del perfil ayuda ligeramente a reducir este efecto. ABSTRACT The aim of this thesis is to analyze the effects of airfoil trailing edges thickness when this is thicker than the airfoil nominal. Several factors may lead to an airfoil trailing edge being thicker than the nominal airfoil, and this may affect various aerodynamic parameters. This study has focus on its influence on the airfoil’s aerodynamic lift, drag and, particularly on the aerodynamic efficiency of the airfoil, that is, the relationship between the aerodynamic lift and drag. It has also been studied how this fact may alter some other aerodynamic aspects of airfoils, such as stall, angle of attack of maximum lift, angle of maximum efficiency, aerodynamic moment coefficient and aerodynamic center position. These imperfections in the trailing edge may appear in some manufacturing processes of certain aerodynamic elements, such as unmanned aircraft wings or wind turbine blades. This phenomenon has not been deeply analyzed in the literature, although several authors have discussed its influence on airfoil with truncated trailing edge, or airfoils with thickened end, used in other applications. Various types of airfoils have been analyzed, laminar and non-laminar, symmetric and curved airfoils, and airfoils with different thickness, in order to compare the degree of influence of the phenomenon studied on each airfoil type and thus, to estimate the degree of sensitivity to the anomaly geometry. The study was carried out experimentally using a test chamber designed specifically for this purpose, as well as an electronic balance to measure the forces and moments on the airfoil, and a pressure scanner to measure distribution of pressures in certain cases. It has also been investigated the behavior of airfoils with trailing edge thicker than the nominal, but rounded instead of blunt, in order to analyze the effectiveness of the trailing edge rounding, which is one of the methods that can be used to mitigate this phenomenon. Moreover, as the behavior of the airfoil is highly dependent on the Reynolds number, the study has been focused on the analysis of the behavior at low Reynolds numbers due to recent use of low Reynolds numbers airfoils in a wide range of applications, from unmanned aerial vehicles (UAV) to low power wind turbine blades, or even due to their potential use in aircraft designed to fly in low density atmospheres as the one existing in Mars. The main purpose of this research is to establish a set of criteria for quantifying the influence that a thicker-than–nominal-trailing edge has in the degradation of maximum aerodynamic efficiency, aiming at establishing the acceptance limits for these pieces when they are manufactured, according to the type of airfoil used. Based on the results obtained from the analysis of the cases under study it can be concluded that increasing the thickness of the trailing edge, within the range of study, increases aerodynamic lift, as well as maximum lift, but the aerodynamic drag increases in a higher proportion, and consequently there is a reduction of aerodynamic efficiency, particularly, of its maximum value. On the other hand, rounding the trailing edge of the airfoil slightly helps to reduce this effect.

Barreras para la práctica de actividad física y deportiva en las personas adultas de la Comunidad de Madrid. Desarrollo y validación de un instrumento

El propósito de este estudio fue la construcción y validación de un instrumento de medición de barreras a la práctica de la actividad física y deportiva por parte de las personas adultas desde la teoría ecológico social y analizar la presencia de las diferentes barreras así como las innovaciones y alternativas de conciliación a las barreras relacionadas con el empleo, el cuidado de hijos e hijas y las tareas del hogar, identificando las posibles diferencias existentes en función del género y del tipo de demanda en la población adulta de la Comunidad de Madrid. Se ha realizado un estudio cuantitativo, descriptivo y transversal en una muestra representativa de la población residente en la Comunidad de Madrid entre 30 y 64 años. El tipo de muestreo fue probabilístico, de tipo polietápico según tamaño demográfico de municipio y género, con un margen de error del ± 5,27% y un intervalo de confianza del 95,5%. El tamaño de la muestra final fue de 360 personas (50,3% mujeres, 49,7% hombres), quienes completaron un cuestionario estructurado mediante entrevista personal cara a cara en su domicilio entre octubre y diciembre de 2011, que incluía una escala de barreras específica, así como sub-cuestionarios de innovaciones y alternativas de conciliación vinculados a los tres ítems relacionados con el empleo, cuidado de hijos e hijas y hogar de la escala de barreras. La escala de barreras fue completada por las personas practicantes de actividad física y deportiva que deseaban realizar otra actividad, es decir, por la Demanda Establecida, así como por las personas no practicantes pero deseosas de hacerlo o Demanda Latente, y las personas no practicantes no interesadas en practicar o Demanda Ausente (n=246). Las personas que alcanzaron elevadas puntuaciones en los tres ítems de la escala de barreras vinculados al empleo, cuidado de hijos e hijas y hogar, completaron sub-cuestionarios específicos de innovaciones y alternativas de conciliación vinculados a estas barreras. Para el estudio métrico de los ítems y la dimesionalidad de la escala de barreras se llevaron a cabo análisis descriptivos de los ítems, análisis correlacionales y análisis factoriales exploratorios (AFE). Como resultado se obtuvo una escala de barreras constituida por 13 ítems que explicaron el 59,1% de la variabilidad total de los datos, agrupados en cuatro dimensiones denominadas: Barreras Interpersonales (2 ítems), Barreras Individuales (4 ítems), Barreras Comunidad-Institucionales (4 ítems) y Barreras Obligaciones-Tiempo (3 ítems). Los datos de la escala de barreras y los sub-cuestionarios de innovaciones y alternativas de conciliación fueron analizados con el SPSS v. 18. Para la comparación de variables cuantitativas y ordinales se utilizaron ANOVAS de dos factores (género por tipo de demanda), el tamaño del efecto para esta prueba se cuantificó mediante eta cuadrado. Los resultados se expresaron como porcentajes para las variables nominales y como medias y desviaciones típicas para las variables ordinales y cuantitativas. El nivel de riesgo se fijó en 0,05. El instrumento presentó una fiabilidad aceptable (α=0,58) en consonancia con el modelo ecológico social presentando dimensiones que explicaron los niveles de influencia de las diferentes esferas. Los resultados obtenidos permitieron avalar tanto la adecuación de las propiedades psicométricas de los ítems, así como la validez y fiabilidad de la escala de barreras para la práctica de actividad física y deportiva. Los distintos análisis realizados han aportado evidencia de la validez de una estructura de cuatro dimensiones acorde a los planteamientos teóricos previos de los modelos ecológicos sociales. En la dimensión barreras Individuales se identificaron diferencias según el tipo de demanda (F2,237=40,28; p<0,001; η2=0,25) y el género (F1,237=8,72; p<0,01; η2=0,84). En la dimensión barreras Interpersonales se identificaron diferencias de género (F1,239 =14,9; p<0,01; η2=0,06) pero no entre demandas (F2,239=2,35; p>0,05; 1-β=0,47). En la dimensión Barreras Obligaciones-Tiempo se identificaron diferencias en función del tipo de demanda (F2,239=3,88; p<0,05; η2=0,03) sin presentar diferencias entre hombres y mujeres (F1,239=1,06; p>0,05; 1-β=0,18). Por último, en la dimensión Comunidad Institucionales, se identificaron diferencias en función del tipo de demanda (F2,240=5,69; p<0,01; η2=0,045) y no hubo diferencias en función del género (F1,240=0,65; p>0,05; 1-β=0,13). Las innovaciones y alternativas de conciliación relacionadas con el empleo más valoradas fueron la de flexibilidad en los horarios de trabajo y adecuación de horarios; las más valoradas relacionadas con la barrera cuidado de hijos fueron que en la instalación deportiva se ofertaran actividades físicas conjuntas, en las en las que pudiesen participar madres e hijos y que la instalación deportiva ofreciera, en el mismo horario, actividades para ellos y sus hijos, y, por último, las más valoradas en relación con las tareas del hogar, una mayor implicación de la pareja seguida por una mayor implicación de los hijos. ABSTRACT The objectives of this study were to build and validate an instrument to measure the barriers of adult people to the practice of sport and physical activities from the perspective of the social-ecological theory, analyse the presence of the different barriers, as well as the innovations and alternatives regarding conciliation with work and the care of children and home as barriers, identifying the possible differences that exist based on gender and the type of demand of the adult population within the Community of Madrid. For this, a quantitative, descriptive and transversal study was carried out on a representative sample of the resident population of the Community of Madrid, ages ranging from 30 to 64 years old. Given that is an infinite or very large population, and working with an interval of confidence of the 95,5%, and assuming in the population variance, the worst case of p equal to q, the margin of sampling error was ± 5,27. The sample consisted of 360 people (50,3% women, 49,7% men), who completed a questionnaire during face-to-face personal interviews between October and December 2011. The questionnaire included a scale of specific barriers, as well as sub-questionnaires on the innovations and alternatives linked to the three items regarding work, the care of children and home of the barriers scale. The barriers scale was completed by people who practice physical and sport activities and wanted to do other activities, i.e. by the Established Demand; by people who do not practice these activities but would like to do so, i.e. Latent Demand; and by people who do not practice these activities and have no desire to do so, i.e. Absent Demand (n=246). The people who peaked on the three items of the barriers scale regarding work, the care of children and home, then completed specific sub-questionnaires on the innovations and alternatives for conciliation related to these barriers. The metric study of the items and the dimensionality of the barriers scale was carried out through descriptive analyses of the items, as well as correlation analyses and exploratory factor analyses (EFA). This resulted in a barriers scale composed of 13 items that explained 59,1% of the total variability of the data, grouped in four dimensions as follows: Interpersonal Barriers (2 items), Individual Barriers (4 items), Community-Institutional Barriers (4 items) and Obligations-Time Barriers (3 items). The data obtained from the barriers scale and sub-questionnaires on the innovations and alternatives for conciliation were analyzed using software SPSS v. 18. Two-way ANOVA (gender by type of demand) was used for the comparison of quantitative and ordinal variables, and the effect size for this test was quantified with eta squared. The results were expressed as percentages for nominal variables, and as means and standard deviations for quantitative and ordinal variables. The level of risk was set at 0,05. The instrument showed an acceptable reliability (α=0,58) in line with the social-ecological model, providing dimensions that explained the influence levels of the different spheres. The results obtained establish both the adaptation of the psychometric properties of the items, and the validity and reliability of the barriers scale for the practice of physical and sport activities. The different analyses have supported the validity of a four-dimensional structure consistent with the previous theoretical approaches on the social-ecological models, while showing adequate statistical indices. The differences identified in the Individual Barriers dimension were based on the type of demand (F2,237=40,28; p<0,001; η2=0,25) and gender (F1,237=8,72; p<0,01; η2=0,84). The differences identified in the Interpersonal Barriers dimension were based on gender (F1,239 =14,9; p<0,01; η2=0,06) but not on demand (F2,239=2,35; p>0,05; 1-β=0,47). The differences identified for the Obligations-Time Barriers dimension were based on the type of demand (F2,239=3,88; p<0,05; η2=0,03) and did not show differences between men and women (F1,239=1,06; p>0,05; 1-β=0,18). Finally, the differences identified for the Community-Institutional Barriers dimension were based on the type of demand (F2,240=5,69; p<0,01; η2=0,045) and provided no differences based on gender (F1,240=0,65; p>,05; 1-β=0,13). The most valued innovations and alternatives for conciliation regarding work were the adaptation and flexibility of working hours and timetables; the most valued related to the care of children were the offer of joint activities for adults and children in sport centres, as well as separate activities within the same timetable; and, finally, the most valued regarding the home was a higher degree of participation and involvement on the part of the spouse or partner, followed by a higher degree of participation and involvement on the part of the children.