Research Article
Jan 1963
Variational Methods in Fluid Dynamics
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VIEW THE REPLYAuthors: J. W. Delleur, M.ASCE, and A. A. SookyAuthor Affiliations
Publication: Transactions of the American Society of Civil Engineers
Volume 128, Issue 1
Abstract
A variational principle applicable to incompressible laminar flows is presented. The case in which the boundary conditions specify the velocity on one part of the boundary and the stresses on the remainder of the boundary is considered. The method is particularly well suited for machine computations. The variational principle is applied to an approximate computation of the velocity distribution for laminar flow in square and rectangular ducts. Approximate and exact solutions are compared.
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Published In
Transactions of the American Society of Civil Engineers
Volume 128 • Issue 1 • January 1963
Pages: 794 - 814
Copyright
© 1963 American Society of Civil Engineers.
History
Published in print: Jan 1963
Published online: Feb 10, 2021
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J. W. Delleur, M.ASCE
Assoc. Prof. of Hydr. Engrg., Purdue Univ., Lafayette, Ind.
A. A. Sooky
Research Asst., School of Civ. Engrg., Purdue Univ., Lafayette, Ind.
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