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Journal of Applied Mechanics and Technical Physics

2018 year, number 1

Incompressible Polymer Fluid Flow Past a Flat Wedge

A. M. Blokhin1,2, R. E. Semenko1,2
1Novosibirsk State University, Novosibirsk, 630090 Russia
2Sobolev Institute of Mathematics, Siberian Branch, Russian Academy of Sciences, Novosibirsk, 630090 Russia
Keywords: полимерная жидкость, плоский клин, стационарное обтекание клина, сильный разрыв, polymer fluid, flat wedge, steady flow past a wedge, strong discontinuity

Abstract

A problem of an incompressible polymer fluid flow past an infinite flat wedge is considered. The flow moves parallel to the plane of symmetry of the wedge and normal to the wedge rib. It is demonstrated that two surfaces of strong discontinuities are needed for the no-slip condition to be satisfied on the wedge surface. Steady solutions of the problem are studied, and the flow is shown to be asymmetric with respect to the plane of symmetry of the wedge.