Variational Principle in Fluid Dynamics

by Pierre F. Lemieux, Asst. Prof.; Dept. of Civ. Engrg., Univ. of Sherbrooke, Sherbrooke, Quebec, Canada,
Tharakkal E. Unny, (M.ASCE), Assoc. Prof.; Dept. of Civ. Engrg., Univ. of Waterloo, Waterloo, Ontario, Canada,
R. N. Dubey, Asst. Prof.; Dept. of Mech. Engrg., Univ. of Waterloo, Waterloo, Ontario, Canada,


Serial Information: Journal of the Engineering Mechanics Division, 1970, Vol. 96, Issue 6, Pg. 1031-1038


Document Type: Journal Paper

Errata: (See full record)

Abstract: A variational principle is formulated for the flow of a viscous incompressible fluid taking into account the convective terms. The field of application of the variational principle is defined. A problem is solved for a time-dependent phenomenon when the fluid is a non-Newtonian pseudoplastic liquid obeying the power-law model due to its simplicity and to serve as an application of the variational principle.

Subject Headings: Fluid flow | Viscous flow | Time dependence

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