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67 results for “Boundary condition”
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Research ArticleOpen accessPhrase in the titleAnalytical Solution Based on a New Series along with the Numeric Solution of the Non-Homogeneous Transient Heat Conduction Equation, in Hollow Cylinder under General Mixed Boundary ConditionsMehdi Zare, F. KardanIn this study, the problem of transient conduction heat transfer for an infinite hollow cylinder under non-homogeneous mixed boundary conditions at the both surfaces simultaneously in radial direction with general heat source depend on time and radius, also general initial condition by the method of superposition and separation variables, is solved and temperature distribution is obtained analytically. A new series … …American Journal of Engineering and Applied Sciences, Vol. 11, Issue 2 · 20 Apr 2018 · 9,486 accessesView PDFCite
Research ArticleOpen accessPhrase in the titleFree Convection over a Permeable Horizontal Flat Plate Embedded in a Porous Medium with Radiation Effects and Mixed Thermal Boundary ConditionsMohd Zuki Salleh, Najihah Mohamed, Roziena Khairuddin et al.Problem statement: In this study, the mathematical modeling of free convection boundary layer flow over a permeable horizontal flat plate embedded in a porous medium under mixed thermal boundary conditions and radiation effects is considered. Approach: The transformed boundary layer equations are solved numerically using the shooting method. Results: Numerical solutions are obtained for the wall temperature, the heat transfer … …Journal of Mathematics and Statistics, Vol. 8, Issue 1 · 8 Feb 2012 · 8,513 accessesView PDFCite
Research ArticleOpen accessPhrase in the titleOn Computing of Eigenvalues of Differential Equations Q = λP with Eigenparameter in Boundary ConditionsS. M. Al-HarbiProblem statement: Our purpose of this study is to use sinc methods to compute approximately the eigenval-ues of second-order operator pencil of the form Q-λP. Approach: Where Q is second order self adjoint differential operator and P is a first order and λ∈C is an eigenvalue parameter. Results: The eigenparameter appears in the boundary conditions linearly. Using computable error boundswe … …Journal of Mathematics and Statistics, Vol. 7, Issue 1 · 29 Jan 2011 · 6,826 accessesView PDFCite
Research ArticleOpen accessPhrase in the titleAnalytical 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 PDFCite
Research ArticleOpen accessPhrase in the titleThe Solution of Heat Conduction Equation with Mixed Boundary ConditionsNaser AbdelrazaqThe study is devoted to determine a solution for a non-stationary heat equation in axial symmetric cylindrical coordinates under mixed discontinuous boundary of the first and second kind conditions, with the aid of a Laplace transform and separation of variables method used to solve the considered problem which is the dual integral equations method. …Journal of Mathematics and Statistics, Vol. 2, Issue 1 · 31 Mar 2006 · 7,815 accessesView PDFCite
Research ArticleOpen accessPhrase in the titleNumerical Study of Static Instability of Pipe Conveying Incompressible Fluid under Different Boundary ConditionsDahmane Mouloud, Zahaf Samir, Sid Ahmed Slimane et al.In this article, the influences of uniform velocity profile, mass ratio, length and Winkler elastic foundation on the static instability of pipe conveying incompressible fluid are investigated. The Euler-Bernoulli beam theory is employed to derive partial differential equation of pipes carrying fluid. The results were carried out using ANSYS Workbench program, where the analysis is based on the numerical solution; … …American Journal of Engineering and Applied Sciences, Vol. 13, Issue 4 · 26 Nov 2020 · 6,577 accessesView PDFCite
Research ArticleOpen accessPhrase in the titleInfluence of Boundary Conditions on the Behavior of an Anchored Reinforced Earth WallFaisal Hj Ali, Bujang B.K. Huat, Lee Chee HaiThe finite element model is used to simulate the behavior of the full scale instrumented anchored reinforced wall. The validated finite element model is then used to carry out parametric studies to ascertain the influence of the boundary conditions on the behavior of the wall. The boundaries at the crest, facing and base of the wall are varied to study … …American Journal of Environmental Sciences, Vol. 4, Issue 4 · 31 Aug 2008 · 7,029 accessesView PDFCite
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 PDFCite
Research ArticleOpen accessIn the keywordsOn 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 PDFCite
Research NotesOpen accessIn the keywordsA Note on a New Method of Investigation of Solutions of Boundary Value Problems for the Elliptic Type Equations of the First OrderNihan A. Aliyev, Alexander A. Katz, Metanet B. MursalovaThe paper deals with investigation of the solutions of the boundary value problem for the Cauchy-Riemann equation on the curvelinear strip in the real plane. Here the boundary conditions are in the special type and are fundamental with respect to the direction solutions are used. An analytic form of the solution of considered boundary value problem is obtained. …Journal of Mathematics and Statistics, Vol. 14, Issue 1 · 17 Jan 2018 · 7,204 accessesView PDFCite