3 articles for “Closed Form Analytical Solution”

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Research ArticleOpen accessEvery word in the titleOn a Novel Closed-Form Analytical Solution for Unsteady Solidification: Theory and ApplicationGueber Elias Mendes Santos Júnior, Fernando S. Rocha, Ana Beatriz S. Silva et al.Numerical modeling of transient solidification under convective boundary conditions presents a significant challenge because accurately tracking the solid–liquid interface is essential for obtaining a stable solution. Although analytical solutions are generally straightforward to apply, the growing demand for energy storage driven by mismatches between supply and demand in renewable‑energy systems requires reliable predictive tools for Latent Heat Thermal Energy Storage … …American Journal of Engineering and Applied Sciences, Vol. 19, Issue 1 · 21 May 2026 · 1,668 accessesView PDF Cite

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 PDF Cite

Research ArticleOpen accessAll words, across the recordUNSTEADY 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 PDF Cite