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19 results for “Closed-Form Solution”
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Research ArticleOpen accessIn the abstractUNSTEADY BOUNDARY LAYER FLOW ALONG A STRETCHING CYLINDER AN ANALYTICAL SOLUTIONM. Y. AklThe axisymetric laminar boundary layer unsteady flow along a continuously stretching cylinder immersed in a viscous and incompressible fluid is studied. The governing partial boundary layer equations in cylindrical form are first transformed into ordinary differential equations these equations are solved analytically using the optimal modified Homotopy Asymptotic method in order to get a closed form solution for the dimensionless … …Journal of Mathematics and Statistics, Vol. 10, Issue 2 · 17 Feb 2014 · 7,152 accessesView PDFCite
Research ArticleOpen accessIn the abstractTHE THEORETICAL SIMULATION OF AXIAL VIBRATIONS IN FINITE CYLINDRICAL PIEZOELECTRIC SHELL MADE OF THE TRIGONAL (3M) CRYSTALH. Zeynali, B. Jazi, R. KarimiThe axial vibration in a thin layer of finite cylinder made of trigonal (3M) piezoelectric crystal are investigated. By using a closed form solution of the equations of motion and applying new boundary conditions the effects of the geometrical dimensions, axial hydrostatic pressure and electrostatic potential along the axis of the cylinder shell on oscillation frequency and amplitude of spatial … …Physics International, Vol. 4, Issue 1 · 15 Feb 2013 · 6,918 accessesView PDFCite
Research ArticleOpen accessIn the abstractA Simplified Analytical Modeling of the Hole Erosion TestMohammed Bezzazi, Abdellatif Khamlichi, Miguel Prron Vera et al.Problem statement: Internal erosion occurs in soils containing fine particles under the action of high pressure gradients that could result from water discharge. This phenomenon can yield in its final stage to the formation of piping which constitutes a real threat for hydraulics infrastructures as it can precipitate their entire rupture in very short time. In order to mitigate this … …American Journal of Engineering and Applied Sciences, Vol. 3, Issue 4 · 30 Nov 2010 · 8,025 accessesView PDFCite
Research ArticleOpen accessIn the abstractThe Magnetic Field Induced by a Lightning Strike's Indirect Effect Double Exponential Current WaveformScott L. Meredith, Susan K. Earles, Ivica N. Kostanic, Niescja E. TurnerProblem statement: Develop a new formula which describes the magnetic field induced by a lightning strike’s indirect effect double exponential current waveform. Approach: A novel approach for developing a closed-form solution for the magnetic field from the indirect effect double exponential current waveform will be presented. In the literature, models typically employ the pulse waveform to derive the corresponding electromagnetic … …Journal of Mathematics and Statistics, Vol. 6, Issue 3 · 30 Sep 2010 · 8,191 accessesView PDFCite
Research ArticleOpen accessIn the abstractThe Time-Dependent Mean and Variance of the Non-Stationary Markovian Infinite Server SystemPeter M. EllisProblem statement: In many queuing situations the average arrival and service rates vary over time. In those situations a transient solution for the state probabilities and mean and variance must be obtained. Approach: The mean and the variance of a particular infinite server model will be obtained using the state differential-difference equations and the factorial moment generating function. The average … …Journal of Mathematics and Statistics, Vol. 6, Issue 1 · 31 Mar 2010 · 7,422 accessesView PDFCite
Research ArticleOpen accessIn the abstractLoad Allocation Model for Scheduling Divisible Data Grid ApplicationsMonir Abdullah, Mohamed Othman, Hamidah Ibrahim, Shamala SubramaniamProblem statement: In many data grid applications, data can be decomposed into multiple independent sub-datasets and distributed for parallel execution and analysis. Approach: This property had been successfully employed by using Divisible Load Theory (DLT), which had been proved as a powerful tool for modeling divisible load problems in data-intensive grid. Results: There were some scheduling models had been studied … …Journal of Computer Science, Vol. 5, Issue 10 · 31 Oct 2009 · 6,900 accessesView PDFCite
Research ArticleOpen accessIn the abstractEarthquake Resistant Design of Reinforced Soil Structures Using Pseudo Static MethodB. Munwar Basha, G.L. Sivakumar BabuProblem statement: This study presented a method to evaluate the internal stability of reinforced soil structures against tension and pullout modes of failure using pseudo-static method for earthquake conditions. Approach: Using limit equilibrium method and assuming the failure surface to be logarithmic spiral, analysis was conducted to maintain internal stability against both tensile and pullout failure of the reinforcements. For … …American Journal of Engineering and Applied Sciences, Vol. 2, Issue 3 · 30 Sep 2009 · 7,572 accessesView PDFCite
Research ArticleOpen accessIn the abstractDetermination of Nonlinear Optimal Feedback Law for Satellite Injection Problem Using Neighboring Optimal ControlHamed Hossein Afshari, Alireza Basohbat Novinzadeh, Jafar RoshanianAn optimal trajectory design of a nonlinear satellite injection problem for transfer to a final target orbit by minimizing the time was investigated. Indeed, this design was an exact solution to the nonlinear two-point boundary value problem which determined optimal control history as well as optimal state trajectories in the open-loop form. Furthermore, the obtained optimal guidance strategy was exerted … …American Journal of Applied Sciences, Vol. 6, Issue 3 · 31 Mar 2009 · 7,256 accessesView PDFCite
Research ArticleOpen accessIn the abstractKernel Density Estimation for Interdeparture Time of GI/G/1 QueuesHsing Luh, Berlin WuThe departure process of a single queue has been studied since the 1960s. Due to its inherent complexity, closed form solutions for the distribution of the departure process are nearly intractable. In this study, kernel type estimators of the density of interdeparture time in a GI/G/1 queue are studied. Uniform strong consistency of the estimators in a GI/G/1 queue and … …Journal of Mathematics and Statistics, Vol. 1, Issue 1 · 31 Mar 2005 · 6,585 accessesView PDFCite