It is considered cases when conductivity coefficients of the two-dimensional heat conduction equation are power functions of temperature and conductivity coefficients are exponential functions of temperature. In first case invariant solutions contain well known self-similar solutions which are widely used in applications.doi:10.20537/vm190105Narma...
In this study, an alternative method is presented for the solution of two-dimensional heat equation in a square region. In this method, the solution function of the problem is based on the Green function, and therefore on elliptic functions. The numerical results have been computed for an appl...
Well-Posedness and Regularity of the Heat Equation with RobinBoundary Conditions in the Two-Dimensional WedgeMarco Bravin ∗ Manuel V. Gnann † Hans Knüpfer ‡ Nader Masmoudi §Floris B. Roodenburg † Jonas Sauer ¶November 8, 2024AbstractWell-posedness and higher regularity of the heat ...
REVIEW Received 5 Nov 2013 | Accepted 28 Oct 2014 | Published 17 Dec 2014 DOI: 10.1038/ncomms6678 Two-dimensional flexible nanoelectronics Deji Akinwande1, Nicholas Petrone2 & James Hone2 2014/2015 represents the tenth anniversary of modern graphene research. Over this decade, graphene has ...
Number Heat Transfer 26, 87±101.Y. Asako and M. Faghri "Prediction of turbulent three-dimensional heat transfer of heated blocks using low-Reynolds number two-equation model", Numerical Heat Transfer ,Y. Asako and M. Faghri, "Prediction of turbulent three-dimensional heat transfer of ...
PDF Tools Share Abstract Based on the boundary element method and the decentralized fuzzy inference algorithm, the thermal conductivity in the two-dimensional unsteady-state heat transfer system changing with the temperature is deduced. The more accurate inversion results are obtained by introducing the ...
We investigate the minimum cost of a wide class of combinatorial optimization problems over random bipartite geometric graphs in $$\mathbb {R}^d$$ where th
Computational solutions have been established for the laminar, incompressible, and heat transmission in a two-dimensional ureter flow. This research presents a novel method for more precise evaluation of the peristaltic process in the ureter. The equations for the axial velocity, energy distribution ...
One-Dimensional Two-Fluid Model Mamoru Ishii, Takashi Hibiki Pages 437-448 Two-Fluid Model Considering Structural Materials in a Control Volume Mamoru Ishii, Takashi Hibiki Pages 449-473 One-Dimensional Interfacial Area Transport Equation in Subcooled Boiling Flow Mamoru Ishii, Takashi Hibiki...
Two-dimensional unstructured quadrilateral grids—case 1. Result1199 vertices2661 vertices3387 vertices IMPEC CPU time (s) 113.8 699.2 954.6 FI-0 CPU time (s) 110 470.3 463.3 FI-1 CPU time (s) 108.6 402.5 420.1 Number of Newton iterations for FI-0 1271 1421 1448 Number of Newton iterations...