ESCI SJR: 0.249 SNIP: 0.434 CiteScore™: 0.7
ISSN Печать: 1940-2503
Выпуски:Том 12, 2020 Том 11, 2019 Том 10, 2018 Том 9, 2017 Том 8, 2016 Том 7, 2015 Том 6, 2014 Том 5, 2013 Том 4, 2012 Том 3, 2011 Том 2, 2010 Том 1, 2009
Computational Thermal Sciences: An International Journal
IMPROVED TRANSVERSAL METHOD OF LINES (ITMOL) FOR UNI- DIRECTIONAL, UNSTEADY HEAT CONDUCTION IN REGULAR SOLID BODIES WITH HEAT CONVECTION EXCHANGE TO NEARBY FLUIDS
The University of Texas at San Antonio
The present paper addresses unsteady, uni-directional heat conduction in regular solid bodies (large plane wall, long cylinder and sphere) with uniform initial temperature and heat convection exchange with a neighboring fluid. A novel numerical procedure named the Improved Transversal Method Of Lines (ITMOL has been implemented to transform the unsteady one-dimensional heat conduction equations along with the initial condition and the convection boundary conditions in rectangular, cylindrical and spherical coordinates into equivalent “quasi-steady” one-dimensional heat conduction equations with embedded time. The transformed “quasi-steady” heat conduction equations are nonlinear ordinary differential equations of second order, which can be solved numerically with the finite-difference or finite element methods. In this work, the dimensionless temperature fields in the regular solid bodies (large plane wall, long cylinder and sphere) are computed numerically with the finite element method. Interestingly, the center, surface and mean temperatures, as well as the total heat transfer produced by the ITMOL exhibit excellent quality for the entire spectrum of mean convective coefficients h ̅ (0 < h ̅ < ∞) over the full time domain 0 < t < ∞.
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