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Boundary value problems in transport with mixed and oblique derivative boundary conditions-II: Reduction to first order systems

✍ Scribed by Doraiswami Ramkrishna; Neal R. Amundson

Publisher: Elsevier Science
Year: 1979
Tongue: English
Weight: 830 KB
Volume: 34
Category: Article
ISSN: 0009-2509
DOI: 10.1016/0009-2509(79)85062-9

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✦ Synopsis

Ab&aet

-Axed second denvatlve or obhque denvatlve boundary conditions for the steady state heat conductIon equation with heat generation m the twodImensIonal plane are of Importance m apphcatrons[ll In general, they lead to non-selfadjomt boundary value problems or to smgular integral equations In tins paper, the second order parhal dtierentlal equations have been decomposed mto first order systems, wtuch under suitable circumstances can be conveniently adapted to satisfy the mixed or obbque denvatlve boundary conditions Furthermore, the dlfferentlal operator with respect to one of the variables IS shown to be

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