ISSN:
0001-1541
Keywords:
Chemistry
;
Chemical Engineering
Source:
Wiley InterScience Backfile Collection 1832-2000
Topics:
Chemistry and Pharmacology
,
Process Engineering, Biotechnology, Nutrition Technology
Notes:
A generalized computing method is developed to perform mathematical “relaxation” on a Datatron digital computer. The application of the developed relaxation or iteration procedures results in obtaining numerical solutions to several engineering boundary-value problems expressed by elliptic differential equations. The developed digital relaxation routine is found to be effective, fast, and practical in solving numerous steady-state heat and mass transfer problems with arbitrary and quite often complex boundary conditions. While the specific speed and accuracy of the developed digital method is found to depend upon the type of differential equation, the grid size, and computational tolerance requirements, a typical problem indicates that 250 iterations/min. speed and 1% accuracy may be achieved in an average case.The examples presented in this paper are chosen from the more classical heat transfer and temperature and pressure distribution problems in order to indicate some other areas where similar engineering problems can be solved however complex the boundary conditions may be.
Additional Material:
12 Ill.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1002/aic.690050123
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