An eigenfunction solution of entry flow in a semi-infinite pipe at low Reynolds numbers

L. H. Benson, S. A. Trogdon

Research output: Contribution to journalArticle

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The developing flow in a semi-infinite pipe is solved for by an eigenfunction method. The results are applicable to zero and low Reynolds number flows. The eigenfunction method yields a solution which accurately predicts overshoots in the axial velocity for small axial positions. Results are presented for both uniform and non-uniform inlet conditions. The latter condition has important implications for numerical simulations of the developing flow problem.

Original languageEnglish (US)
Pages (from-to)347-359
Number of pages13
JournalApplied Scientific Research
Issue number4
StatePublished - Dec 1 1985


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