A variational method called the local potential is used to find an approximate solution of the laminar boundary-layer flow of a pseudoplastic fluid past a flat plate. The so-called power-law model relates the stress tensor to the rate-of-deformation tensor. The results of the variational approach are obtained in an analytical form and are found to agree well with the exact numerical solution.
Variational Method for a Pseudoplastic Fluid in a Laminar Boundary Layer Over a Flat Plate
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Lemieux, P. F., Dubey, R. N., and Unny, T. E. (June 1, 1971). "Variational Method for a Pseudoplastic Fluid in a Laminar Boundary Layer Over a Flat Plate." ASME. J. Appl. Mech. June 1971; 38(2): 345–350. https://doi.org/10.1115/1.3408782
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