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Ordering Rules for Double and Triple Eigenseries in the Solution of Multidimensional Heat and Fluid Flow Problems

M. D. Mikhailov
Organization: Universidade Federal do Rio de Janeiro
Department: Mechanical Engineering Dept. - EE/COPPE/UFRJ
Renato Cotta
Organization: North Carolina State University
Department: Department of Physics
Journal / Anthology

International Communications in Heat and Mass Transfer
Year: 1996
Volume: 23
Issue: 2
Page range: 299-303

Two Mathematica rules, converting double and triple summation series to a single one, are developed. The rules allow for the elimination of redundant equations in the truncated ordinary differential equations system that appears in connection with the application of the generalized integral transform technique (GITT), in the hybrid solution of linear and non-linear heat and fluid flow problems. The rules permit also, in some 2D and 3D heat conduction eigenseries exact solutions, to use only those terms necessary to obtain the user prescribed accuracy.

*Mathematics > Calculus and Analysis > Differential Equations
*Science > Physics > Fluid Mechanics
*Science > Physics > Thermodynamics and Statistical Mechanics