New Variational Principle for Incompressible Non-Newtonian Flow

AIP Publishing - Tập 3 Số 4 - Trang 539-541 - 1960
R. Byron Bird1
1Department of Chemical Engineering, University of Wisconsin, Madison, Wisconsin

Tóm tắt

A variational principle is given which describes the steady laminar motion of simple non-Newtonian fluids, for which the viscosity is a function of the second invariant of the rate of deformation tensor. This principle simplifies to von Helmholtz's principle for the Newtonian fluid, and to Tomita's principle for the Ostwald-de Waele fluid. For the latter two types of fluids, the equations of continuity and motion are equivalent to the statement that the rate of entropy production in the system is a minimum; for more general fluids, the variational principle does not admit this simple interpretation.

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Tài liệu tham khảo

1952, J. Ratl. Mech. Anal., 1, 225

1952, J. Ratl. Mech. Anal., 1, 131

1958, Ind. Eng. Chem., 50, 347, 10.1021/ie50579a035

1959, A.I.Ch.E. Journal, 5, 565, 10.1002/aic.690050429

1959, Chem. Eng. Tech., 31, 569

1944, Nature, 154, 427, 10.1038/154427a0

1958, Ind. Eng. Chem., 50, 1036, 10.1021/ie50583a038

1868, Verhandl. Naturhist.-Med., Ver., 5, 1

1882, Wiss. Abhandl, 1, 223

1959, Bull. Japan. Soc. Mech. Engrs., 2, 469, 10.1299/jsme1958.2.469

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AIP Publishing

Tập 3 Số 4

539-541

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