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A Mathematical Model for Micropolar Fluid Flow Through an Artery with the effect of Stenosis and Post Stenotic Dilatation
Get PDFThe effects of both stenosis and post stenotic dilatation have been studied on steady flow of micropolar fluid through an artery. Assuming the stenosis to be mild, the equations governing the flow of the proposed model are solved. Closed form expressions for the flow characteristics such as velocity, pressure drop, and volumetric flow rate, resistance to the flow and wall shear stress are derived. The effects of various parameters on resistance to the flow and wall shear stress have been analyzed through the graphs. It is found that the resistance to the flow increases with the height and length of the stenosis, but the resistance to the flow decreases with stenotic dilatation. With the increase of the coupling number the resistance to the flow increases. However, the effect of coupling number is not very significant. The resistance to the flow decreases with the micropolar fluid parameter. The wall shear stress increases with coupling number and stenosis height, but it decreases with micropolar fluid parameter and stenotic dilatation
Solution of a Cauchy singular fractional integro-differential equation in Bernstein polynomial basis
Get PDFThis article proposes a simple method to obtain approximate numerical solution of a singular fractional order integro-differential equation with Cauchy kernel by using Bernstein polynomials as basis. The fractional derivative is described in Caputo sense. The properties of Bernstein polynomials are used to reduce the fractional order integro-differential equation to the solution of algebraic equations. The numerical results obtained by the present method compares favorably with those obtained earlier for the first order integro-differential equation. Also the convergence of the method is established rigorously
Generalized I of strongly Lacunary of x2 over p-metric spaces defined by Musielak Orlicz function
Get PDFIn this paper, we introduce generalized difference sequence spaces via ideal convergence, lacunary of x2 sequence spaces over p-metric spaces defined by Musielak function, and examine the Musielak-Orlicz function which satisfies uniform Δ2 condition, and we also discuss some topological properties of the resulting spaces of x2 with respect to ideal structures which is solid and monotone. Hence, given an example of the space x2 this is not solid and not monotone. This theory is very useful for statistical convergence and also is applicable to rough convergence
Exact Asymptotic Errors of the Hazard Conditional Rate Kernel for Functional Random Fields
Get PDFWe consider the problem of nonparametric estimation of the kernel type estimators for the conditional cumulative distribution function and the successive derivatives of the conditional density for spatial data. More precisely, given a strictly stationary random field Z = (X, Y), we investigate a kernel estimate of the conditional hazard function of univariate response variable Y given the functional variable X. The principal aim of this paper is to give the mean squared convergence rate of the proposed estimator. Finally, we apply these theoretical results to the estimation of the conditional hazard function where we give the mean squared convergence rate of the proposed estimator
Prandtl Number Effect on Assisted Convective Heat Transfer through a Solar Collector
Get PDFNumerical study of the influence of Prandtl number on forced convective heat transfer through a riser pipe of a flat plate solar collector is done. The working fluid is Al2O3/water nanofluid. By Finite Element Method the governing partial differential equations are solved. The effect of the Prandtl number on the temperature and velocity field has been depicted. Comprehensive average Nusselt number, average bulk temperature, mean velocity, mid-height temperature inside the pipe, mean output temperature and collector efficiency are presented for the governing parameter mentioned above. Nu increases by 16% with the variation of Pr from 4.6 to 6.6 using nanofluid. Due to rising Pr heat transfer rate increases but collector efficiency devalues
An assessment of juvenile drug courts\u27 knowledge of evidence-based practices, data collection, and the use of AA/NA
No full textThe use of evidence-based practices (EBPs) has become a core component of juvenile drug courts (JDCs). This research, using a sample of JDCs listed with the National Association of Drug Court Professionals, tests two current assumptions in the field: 1) many JDCs do not use or are unaware of their use of EBPs and 2) JDCs tend to overuse sober support groups (e.g., AA/NA), which are thought to be inappropriate for youth. Results suggest that nearly all JDCs, in the sample, reported using EBPs; however, only about a quarter of them collected treatment data and knew the outcomes of the data. Also, only about half of the JDCs use sober support groups (predominantly AA/NA), and nearly all of the sober support groups were tailored toward youth. Overall, these findings suggest that the current assumptions in the field do not accurately reflect the practices reported by these JDCs. Implications are discussed
Impulse control and internet addiction disorder among business professionals
No full textWe compared 94 female and 218 male Indian business professionals\u27 self-reporting their usage of Orkut, Facebook, Google, Twitter, and LinkedIn as ways they search the Internet, engage in social interaction on the world wide web commonly referred to as Web 2.0. Our Chi-square tests revealed differences between male and female professionals on three levels of income: ≤ 11-20K, and ≥$21K. A 20-items instrument adapted from Dr. Kimberly Young\u27s Internet Addiction Test (Young, 1996) was used to measure Internet Addiction Disorder (IAD). We used factorial Analysis of Variance (ANOVA) tests, with a 2 x 3 factorial design. Gender (male or female) and income were the independent variables. Principal axis factor analysis resulted in four derived factors, used as dependent variables, in four separate two-way ANOVA procedures. Main effects and a two-way interaction effect were detected, with p \u3c .01 in only one case, when the factor we labelled Impulse Control was used as a dependent variable
New results on switched linear systems with actuator saturation
No full textThis paper further studies the analysis and control problems of continuous-time switched linear systems subject to actuator saturation. Using the norm-bounded differential inclusion description of the saturated systems and the minimal switching rule, a set of switched output feedback controllers is designed to minimise the disturbance attenuation level defined by the regional gain over a class of energy-bounded disturbances. The synthesis conditions are expressed as bilinear matrix inequalities, and can be solved by numerical search coupled with linear matrix inequality optimisation. Compared to the previous method based on polytopic differential inclusion, the proposed approach has good scalability and potentially renders better performance. Numerical examples are provided to verify the effectiveness of the proposed approach
Modeling streamflow and sediment using SWAT in ethiopian highlands
No full textThe coincidence of intensive rainfall events at the beginning of the rainy season and unprotected soil conditions after extreme dry spells expose the Ethiopian Highlands to severe soil erosion. Soil and water conservation measures (SWC) have been applied to counteract land degradation in the endangered areas, but SWC efficiency may vary related to the heterogeneity of the landscape. The Soil and Water Assessment Tool (SWAT) model was used to model hydrology and sediment dynamics of a 53.7 km2 watershed, located in the Lake Tana basin, Ethiopia. Spatially distributed stone bund impacts were applied in the model through modification of the surface runoff ratio and adjustment of a support practice factor simulating the trapped amounts of water and sediment at the SWC structure and watershed level. The resulting Nash-Sutcliffe efficiency (NSE) for daily streamflow simulation was 0.56 for the calibration and 0.48 for the validation period, suggesting satisfactory model performance. In contrast, the daily sediment simulation resulted in unsatisfactory model performance, with the NSE value of 0.07 for the calibration and –1.76 for the validation period and this could be as a result of high intensity and short duration rainfall events in the watershed. Meanwhile, insufficient sediment yield prediction may result to some extent from daily based data processing, whereas the driving runoff events and thus sediment loads occur on sub-daily time scales, probably linked with abrupt gully breaks and development. The calibrated model indicated 21.08 Mg/hm2 average annual sediment yield, which is far beyond potential soil regeneration rate. Despite the given limits of model calibration, SWAT may support the scaling up and out of experimentally proven SWC interventions to encourage sustainable agriculture in the Ethiopian Highlands
Stored Coulomb Self-Energy of a Uniformly Charged Rectangular Plate
No full textA large number of electronic devices contain charged, flat plates (electrodes) as their components. The approximation of considering such components as infinitely large plates is not satisfactory for the current status of consumer electronics where size is now extremely small. In particular, the nanotechnology revolution has made the fabrication of truly finite systems with arbitrary shape and characteristic lengths that measure in nanometers possible. As a result the only accurate approach for such situations is to consider the system realistically as one with a finite size extent. In this work we calculate the amount of electrostatic energy that is stored in a charged finite size electrode that is modelled as a uniformly charged rectangular plate with arbitrary length and width. Nontrivial mathematical transformations allow us to derive a closed form exact expression for the Coulomb self-energy of such a system as a function of its length and width (therefore, shape, too). The exact result derived can be useful to understand the storage process of electrostatic energy as a function of size/shape in uniformly charged plate systems. The result also applies to calculations that deal with the properties of a finite two-dimensional electron gas within the jellium model where the finite jellium domain can have an arbitrary rectangular shape