THE TAN(F(z)/2)-EXPANSION METHOD FOR THE SOME TRAVELING WAVE SOLUTIONS OF THE (2+1)-DIMENSIONAL BURGERS EQUATION
In this paper, we implemented a tan(F(z)/2)-Expansion Method for traveling wave solutions of (2+1)-dimensional Burgers equation.
Mathematics
Chemistry
Physics
Mathematics
In this paper, we implemented a tan(F(z)/2)-Expansion Method for traveling wave solutions of (2+1)-dimensional Burgers equation.
In this paper, we defined Fermi-Walker derivative in Galilean space G^3 Fermi-Walker transport and non-rotating frame by using Fermi-Walker derivative are given in G^3. Being conditions of Fermi-Walker transport and non-rotating frame are investigated along any curve for Frenet frame and Darboux frame.
The present article addresses the problem of improved estimation of population mean of the study variable. For elevated estimation, we suggest a new generalized exponential ratio type family of estimators of population mean using auxiliary attribute. The bias and mean squared errors (MSE) of the suggested family are derived up to the approximation of order one. The optimum value of the characterizing scalar is obtained and the minimum MSE of the suggested family is also obtained. Further more generalized class is also proposed and the suggested family is its special case. The minimum MSE of this class is also obtained for the optimum value of the scalar. A theoretical comparison of the suggested class has made with the competing estimators of population mean. An empirical study has also been performed to show that the suggested class is better than the competing estimators of population mean.
In this paper we introduce new approaches for numerical solution of Volterra integral equation of second kind. This numerical solution based on Galerkin method by using Hermite, Chebyshev & orthogonal polynomials. All calculation performed by MATLAB 13 versions. Many examples are given for comparative study of numerical solution of integral equations with estimated error. This comparative study of numerical solution of linear and nonlinear integral equation is more effective & better accuracy other than existing method.
In this paper, we study Π1 Bishop spherical images according to type-2 Bishop frame. Using the type-2 Bishop frame of the given curve, we present partial differential equations. We give some characterizations for curvatures of a curve in space .
In this paper, we study a harmonic evolute surface of quasi normal surface associated with quasi frame. We construct quasi normal surface with first and second fundamental forms. Moreover, we determine harmonic evolute surface of quasi normal surface by using these fundamental forms. Finally, we obtain some new results about these new surfaces.
In this paper, we will recover the generating functions of some generalized Tribonacci numbers. The technic used her is based on the theory of the so called symmetric functions.
Abstract. In this study, firstly, M-vector field Z on M, M-integral curve of Z and M-geodesic spray concepts are given. Along this study, is a Riemann manifold and M is a hypersurface of in dual space. Secondly, “The natural lift of the curve α is an M-integral curve of M-geodesic spray Z if and only if α is an M-geodesic on M” is proved in dual space.
In the present paper we derive a pathway fractional integral formula for the incomplete H-function and presumably new integral involving product of incomplete Hfunction and a general class of polynomials having general arguments. A large number of integrals involving various simpler functions follow as special cases of these integrals.
The trajectory of a robot end effector is described by a ruled surface and a spin angle about the ruling of the ruled surface. In this paper, we analyzed the problem of describing trajectory of a robot end-effector by a timelike ruled surface with spacelike ruling. We obtained the developed frame {t1, r1, k1} by rotating the generator frame {r, t, k} at an Darboux angle θ=θ(s) in the plane {r, k}, which is on the striction curve β of the timelike ruled surface X. Afterword, natural frame, tool frame and surface frame which is necessary for the movements of robot are defined derivative formulas of the frames are founded by calculating the Darboux vectors. Tool frame {O, A, N} are constituted by means of this developed frame. Thus, robot end effector motion is defined for the timelike ruled surface φ generated by the orientation vector t1=0. Also, by using Lancret curvature of the surface and rotation angle (Darboux angle) in the developed frame the robot end-effector motion is developed. Therefore, differential properties and movements an different surfaces in
Minkowski space is analyzed by getting the relations for curvature functions which are characterized a timelike ruled surface with spacelike directix. Finally, to be able to get a member of trajectory surface family which has the same trajectory curve is shown with the examples in every different choice of the Darboux angle which is used to described the developed frame.
The introduction of the SILR model in 1927 by W. O. Kermack and A. G. Mc Kendrick also led to the compartmental modeling of the transmission of the Tuberculosis (TB). We select two models describing the spread of the TB in the vaccinated and nonvaccinated populations. The main objective of this study is to understand the transmission of Tuberculosis specifically the impact of bacille Calmette-Guerin (BCG), a vaccine for tuberculosis (TB) disease. Most effective vaccination used against TB is BCG, and there is no consensus about its efficiency and the estimation of preservation dimension from 0 to 80%. For this we consider two models of transmission basic SILR model, this model is continued to incorporate vaccinations at birth to get a new model VIvLv so that we deeply analyze BCG vaccination impact. The models are analyzed by sensitivity analysis of parameters. We evaluated the sensitivities of all parameters in SILR and VIvLv models.
This paper mainly focuses on the application of response surface methodology (RSM) approach to biological data. RSM is an effective modelling tool to solve linear and nonlinear multivariate regression problem. Response surface methodology (RSM) is advanced tools for modelling and prediction of such complex of biotechnology process. Our aim is to determine condition for population doubling level prediction using response surface methodology analysis. The response was used to develop an empirical model that associated the response to the two process variables. The variables studied were the days of cultured
cells (X1) and passage of number cells (X2). The response to this experiment was the total population doubling level (Y). The result shows that the predicted values were in good agreement with the experimental values in validation experiments, which confirmed the accuracy of the model. Therefore, this paper can offer the researchers with clear information about RSM methods. The RSM technique is a more effective and easier procedure and interpretation of experiments compared to the other traditional method
Chemistry
Researchers try to develop new broad-spectrum antibiotics against bacteria, because the extended use of antibiotics has led to drug resistance. It directed the researchers to find new medical plants which are a rich source of many antibacterial compounds such as polyphenols. The current research aimed to investigate the antibacterial activity shown by Tamarix ramosissima tincture against five human pathogenic bacteria: Staphylococcus aureus, Escherichia coli, Proteus vulgaris, Pseudomonas aeruginosa and Klebsiella neumoniae. Using molecular docking technique we explained the antibacterial effect of plant extract.
The analytical study of granitic pictographs and petroglyphs on rock cliffs in the open air site by polarized microscopy (PM), scanning electron microscopy coupled with energy dispersive X-ray spectrometry (SEM-EDX), X-ray diffraction analysis (XRD), infrared spectroscopy (IR) and microbiological study proved that, salts and transformation the feldspars to clay minerals are the main deterioration aspects at the unfinished obelisk quarry south Egypt.
Wine is a polydisperse hydroalcoholic solution with a physical-chemical composition depending on the variety, ecological factors, the degree of maturation and the health status of the grapes, the conditions of production, storage and age. As the purpose of this paper is to provide the physical and chemical characterization of different types of wines and, as such, the alcohol concentration, the total and volatile acidity, the total content of phenolic compounds and the Fe (II) concentrations have been determined. The iron content of wines was obtained using molecular absorption spectrometry in UV-VIS applying the standard addition method. The results of iron content range from 1.66 mg/L to 2.36 mg/L. To verify the veracity of the results, control charts were applied: diagram X and R. The nalysis of the control diagrams shows that the quality control conditions of the method to determine iron in wine, reagents, reference materials and results are reliable.
In the group of polyphenolcarboxylic acids and flavonoids, over time, some molecules have been noted for their special properties. Among them we set out to analyze: caffeic acid, chlorogenic acid, apigenol, quercetol. In this paper we set out to test the antioxidant capacity of plant extracts using docking technique. The plant extracts will interact with the enzyme iNOS, a nitric oxide generator, a free radical with multiple implications in autoimmune diseases. From the values obtained from the study the most stable polyphenolic compound (high ΔE) is apigenol. The highest dipole moment value belongs to apigenol, which could anticipate stronger interaction with iNOS. The most stable iNOS-polyphnolic compound is for apigenol, having the free binding energy -6.36 kcal/mol, followed by the iNOS-quercetol complex (-4.44 kcal/mol).
This study deals with the investigation of the preservation of cellulose acetate based micronized particles (ZnO and TiO2) for the artificial wood preservation. The protection of wood artifacts has raised serious problems, due to the main factors that affect the wood structure, such as low temperature, fire and microbiological agents. These factors act on the wood structure and induce some degradation processes, such as discoloration, fragility and unsightly appearance. The capacity of these new composites used as a coating for wood was investigated on young and aged wood samples. First, it was tested the aspect of the samples after treatment and the colorimetric measurements have confirmed that all consolidates doesn’t significantly influence the color of the samples. Then, the mechanical character of the samples has demonstrated that the presence of the cellulose acetate has increased the resistance of the samples, even in the case of the aged samples. The efficacy of the treated samples to wet environment has confirmed that all the composites used as coating created a hydrophobic surface that has the role to protect the wood surface against long-term exposure to environmental changes.
In this article we have presented the dependence of dynamic temperature vicinity at all shear rates for coconut vegetable oil used as biodegradable lubricant. Dynamic viscosity decreases exponentially with increasing temperature at all shear rates. At high temperatures the dynamic viscosity decreases less significantly. The shear speed increases linearly with the shear voltage at all temperatures studied. The dependence of dynamic temperature viscosity shows a polynomial decrease over the entire shear rate range.
Heavy metal concentrations of Pb, Cd, Zn, Ni, Cr, Mn, and Cu in drinking water collected from capture groundwater stations were determined. These values were correlated with physicochemical indicators. Concentrations of all metals were lower than maximum admitted limits established by Romanian Law 311/2004. The health risk index values for all determined elements (Pb 0.029±0.009, Cd 0.008±0.011, Zn 0.012±0.002, Ni 0.003±0.001, Cr 0.012±0.009, Mn 0.006±0.001, and Cu 0.017±0.004) were also found to be lower than the safe limit values.
Physics
In this study, a complete analytical method of the evaluation and temperature behavior of the Lorenz number for non-degenerate and degenerate semiconductors has been proposed. Based on the quantum theory of kinetic effects, the Lorenz number formula of semiconductors in terms of two parameter Fermi functions has been formulated analytically. In spite of the long history of thermoelectric effect and its significant
role in semiconductor phenomena, the analytical studies of two parameter Fermi function are very limited in the literature. By using an efficient algorithm for the calculation of two parameters Fermi function, the temperature dependence of Lorenz number has been evaluated analytically. The suggested method is useful for determination of WiedemannFranz law that provides connection between the thermal and electrical conductivity which is important for thermoelectric materials
The influence of the building-integrated solar thermal collectors on the thermal energy demand of a laboratory building considering eight sites across Europe is analyzed. TRNSYS was used to evaluate the thermal energy demand for buildings with standard (40 mm) and increased (60 mm to 210 mm) thickness of the insulated panels aiming to reach a specific thermal energy demand lower than 100 kWh/m²/year. For each building optimized in terms of thermal insulation, a sensitivity analysis was performed to assess the influence of the collectors’ air gap and glazing thickness, absorber plate color, resulting in heating energy reductions up to 23.59%.
The paper presents a comparative study between three PV simulation software – PVsyst, PVGIS – Photovoltaic Geographical Information System and PVwatts – regarding the monthly and yearly electrical energy production in a temperate mountain climate. As a case study, the obtained simulation results were compared with the experimental data of a 9.6 kWp PV system installed in Brasov, Romania. This study highlights
that, in the considered assumptions, the PVGIS tool generates the most accurate values if three solar radiation datasets (CMSAF – Satellite Application Facility on Climate Monitoring, SARAH – Surface Solar Radiation Data Set – Heliosat and COSMO – COnsortium for Small-Scale Modeling) are combined. Also, good results are obtained using the PVsyst tool, where the system parameterisation can be detailed more accurately.
An experimental study of the performance of a variable speed pump and
prediction of the cavitation behavior throughout a centrifugal pump has been carried out in this work. The cavitation phenomenon is one of the problems happened in the centrifugal pumps which leads to reduce the pressure supply and the flow rate further creating cracks and cavities at the impeller. In this work, a stander pump with eight forward vanes impeller where the inlet and outlet vanes angles are 20˚, 25˚ and 100 [mm], 200 [mm] inlet and outlet diameters, respectively were used. The results showed that the maximum head and flow rate are at 1400 [rot/min], while the maximum efficiency is at 1100 [rot/min]. The relation
between the available and the required net positive suction head was studied to predict the cavitation phenomenon which is the most important aspect to be considered when choosing the pump system. It’s found that the NPSHR increases and the NPSHA decrease when the flow rate increases for a certain speed, which leads to creating the cavitation.