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The rounded triangular cross section – Exact solutions for torsion, flow and heat transfer
Author(s) -
Wang C.Y.
Publication year - 2010
Publication title -
zamm ‐ journal of applied mathematics and mechanics / zeitschrift für angewandte mathematik und mechanik
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.449
H-Index - 51
eISSN - 1521-4001
pISSN - 0044-2267
DOI - 10.1002/zamm.201000003
Subject(s) - equilateral triangle , nusselt number , torsion (gastropod) , heat transfer , duct (anatomy) , mechanics , geometry , mathematics , physics , reynolds number , anatomy , turbulence , medicine
Exact solutions for the torsion of a bar, flow, and heat transfer in a duct, all having rounded triangular cross sections, are presented. The family of shapes has the circle and the equilateral triangle as extreme cases. Geometrical properties, torsional rigidity, flow rates, and Nusselt numbers are determined.