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- W2332189746 abstract "Our purpose is to give a theoretical analysis of similarity solutions for the boundary layer on the flat plate moving opposite to the stream in a power law fluid. The generalized Blasius boundary value problem is considered with non-homogeneous lower boundary conditions f (0) = 0, f′ (0) = λ (λ > 0), where λ is the velocity parameter. The numerical calculations indicate that there is a critical value λc such that solution exists only if λ < λc. For Newtonian fluid, this phenomena was proved by Hussaini and Lakin (1986, Existence and nonuniqueness of similarity solutions of a boundary-layer problem. Q. J. Mech. Appl. Math., 39, 177–191) and λc was found to be 0.3541… . Following the method in Hussaini et al. (1987, On similarity solutions of a boundary layer problem with an upstream moving wall. SIAM J. Appl. Math., 47, 699–709), we give estimation analytically for λc depending on the power-law exponent n, moreover, the existence of analytic solution is proved." @default.
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- W2332189746 date "2011-07-06" @default.
- W2332189746 modified "2023-10-03" @default.
- W2332189746 title "On similarity solutions of boundary layer problems with upstream moving wall in non-Newtonian power-law fluids" @default.
- W2332189746 doi "https://doi.org/10.1093/imamat/hxr033" @default.
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