365 articles for “Numerical Study”

Research ArticleOpen accessAll words, across the recordNumerical Solution of the Taylor-Quette Flow Problem: A Commodious Statistical ApproachAyoob Karimi, Hassan Zeytoonian, Shahin NavardiProblem statement: The main problem in solving of the Boltzmann equation by statistical methods is its long computational time (CPU time). The problem of decreasing of CPU time usage in statistical solution methods of Boltzmann equation for rarefied vortex flows was studied. Approach: In this study the Boltzmann equation in a rarefied Taylor-Quette flow regime was solved using the new … …Physics International, Vol. 1, Issue 1 · 31 Mar 2010 · 7,780 accessesView PDF Cite

Research ArticleOpen accessAll words, across the recordA Numerical Test on the Riemann Hypothesis with ApplicationsN. K. Oladejo, I. A. AdetundeProblem statement: The Riemann hypothesis involves two products of the zeta function ζ(s) which are: Prime numbers and the zeros of the zeta function ζ(s). It states that the zeros of a certain complex-valued function ζ (s) of a complex number s ≠ 1 all have a special form, which may be trivial or non trivial. Zeros at the negative … …Journal of Mathematics and Statistics, Vol. 5, Issue 1 · 31 Mar 2009 · 7,859 accessesView PDF Cite

Research ArticleOpen accessAll words, across the recordNumerical Solution of Linear Integro-Differential EquationsHusein Jaradat, Omar Alsayyed, S. Al-SharaProblem Statement: Integro-differential equations find special applicability within scientific and mathematical disciplines. In this study, an analytical scheme for solving Integrodifferential equations was presented. Approach: We employed the Homotopy Analysis Method (HAM) to solve linear Fredholm integro-differential equations. Results: Error analysis and illustrative examples were included to demonstrate the validity and applicability of the technique. MATLAB 7 was used to … …Journal of Mathematics and Statistics, Vol. 4, Issue 4 · 31 Dec 2008 · 7,093 accessesView PDF Cite

Research ArticleOpen accessAll words, across the recordNumerical Investigation Into The Behavior of Circular Pad Shallow Foundations Supported By Geogrid Reinforced SandS. M. Marandi, M. H. Bagheripour, R. Rahgozar, A. R. GhirianThis study seeks to widen the pool of knowledge on the use and characteristics of geosynthetics, specifically in the area of circular foundations supported by geosynthetic reinforced sand. The main objective of the work was to increase the awareness of circular foundation systems and thus increase the accuracy of current laboratory methods. Also, compare the results with that of previous … …American Journal of Applied Sciences, Vol. 5, Issue 4 · 30 Apr 2008 · 7,153 accessesView PDF Cite

Research ArticleOpen accessAll words, across the recordNumerical Simulation of a Turbulent Lean, Premixed Combustion with an Explicit Algebraic Stress ModelWilliam Vicente, Martín Salinas-Vázquez, Eliseo Martínez, Alejandro RodríguezA computational model is used in the present paper to study the influence of the turbulence modeling on the chemical species in a turbulent lean premixed flame. The simulated configuration is about a lean, premixed bluff-body-stabilized flame with a recirculation zone. To achieve the objectives, three different models were used for turbulence modeling as listed next: 1) standard k-ε, 2) … …Journal of Mathematics and Statistics, Vol. 1, Issue 2 · 30 Jun 2005 · 6,316 accessesView PDF Cite