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Laminar flow in axisymmetric conduits by a rational approach
Author(s) -
Shih F. S.
Publication year - 1967
Publication title -
the canadian journal of chemical engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.404
H-Index - 67
eISSN - 1939-019X
pISSN - 0008-4034
DOI - 10.1002/cjce.5450450507
Subject(s) - laminar flow , electrical conduit , flow (mathematics) , parametrization (atmospheric modeling) , equilateral triangle , rotational symmetry , computation , series (stratigraphy) , mathematics , computer science , mechanics , calculus (dental) , geometry , geology , algorithm , physics , medicine , dentistry , radiative transfer , telecommunications , paleontology , quantum mechanics
Numerical and closed‐form solutions to laminar flow in regular polygonal conduits, star‐shaped conduits, and rectangular conduits are presented. Results by the present approach are shown to be more accurate and the computation to require less effort than conventional methods. The formal finite‐series solutions obtained through the present approach lend themselves to parametrization and to a judicious choice of computational schemes. In addition both analytical and numerical procedures yield exact solutions to flow in an equilateral and in an elliptic conduit. The present approach proves to be advantageous in its accuracy, generality, and simplicity.