4 results for “Periodic Boundary”

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Research ArticleOpen accessPhrase in the titleFitted Reproducing Kernel Method for Solving a Class of Third-Order Periodic Boundary Value ProblemsAsad Freihat, Radwan Abu-Gdairi, Hammad Khalil et al.In this article, the reproducing kernel Hilbert space W24 [0, 1] is employed for solving a class of third-order periodic boundary value problem by using fitted reproducing kernel algorithm. The reproducing kernel function is built to get fast accurately and efficiently series solutions with easily computable coefficients throughout evolution the algorithm under constraint periodic conditions within required grid points. The … …American Journal of Applied Sciences, Vol. 13, Issue 5 · 11 May 2016 · 7,647 accessesView PDF Cite

Research ArticleOpen accessPhrase in the titleHeat Generation/Absorption Effect on Natural Convection Flow in a Vertical Annulus with Time-Periodic Boundary ConditionsMichael O. Oni, Basant K. JhaThe role of heat generation/absorption on natural convection flow formation in a vertical annulus with prescribed time-periodic heating is investigated in this article. The governing continuity, momentum and energy equations are converted into ordinary differential equation using suitable transformations and closed form expressions are obtained for temperature distribution, velocity profile, Nusselt number, skin friction and mass flow rate in terms … …Journal of Aircraft and Spacecraft Technology, Vol. 3, Issue 1 · 27 Jul 2019 · 6,335 accessesView PDF Cite

Research ArticleOpen accessIn the keywordsAnalytical Solution of Temperature Field in Hollow Cylinder under Time Dependent Boundary Condition Using Fourier seriesGolamali atefi, Mohammad Ali Abdous, Abdolsaeid GanjehkaviriThe objective of this study is to derive an analytical solution of one dimensional heat conduction equation applied in a hollow cylinder, which is subjected to a periodic boundary condition at the outer surface while the inner surface is insulated. The material is assumed to be homogenous and isotropic with time-independent thermal properties. Because of the time-dependent term in the … …American Journal of Engineering and Applied Sciences, Vol. 1, Issue 2 · 30 Jun 2008 · 7,533 accessesView PDF Cite

Research ArticleOpen accessIn the keywordsFlow and Heat Transfer Profiles in a Square Channel with 45° V-Downstream OrificesWithada Jedsadaratanachai, Amnart BoonloiFlow and heat transfer profiles in a square channel heat exchanger inserted with 45° V-orifices are presented. The influences of Reynolds number (Re = 3000-10,000) and blockage ratio (BR = 0.05, 0.10, 0.15, 0.20 and 0.25) on periodic concepts are investigated numerically. The computational domain is solved with the finite volume method and SIMPLE algorithm. As the numerical results, the … …Journal of Mathematics and Statistics, Vol. 12, Issue 4 · 18 Nov 2016 · 6,959 accessesView PDF Cite