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Journal of Applied Mechanics and Technical Physics

2016 year, number 2

Steady Flow of a Power-Law Non-Newtonian Fluid Across an Unconfined Square Cylinder

A. Pantokratoras
Democritus University of Thrace, Xanthi, 67100 Greece
Keywords: цилиндр с квадратным поперечным сечением, степенной закон, коэффициент сопротивления, вихревой след, square cylinder, power law, drag coefficient, wake

Abstract

A two-dimensional flow of a non-Newtonian power-law fluid directed normally to a horizontal cylinder with a square cross section is considered in the present paper. The problem is investigated numerically with a finite volume method by using the commercial code Ansys Fluent with a very large computational domain so that the flow could be considered unbounded. The investigation covers the power-law index from 0.1 to 2.0 and the Reynolds number range from 0.001 to 45.000. It is found that the drag coefficient for low Reynolds numbers and low power-law index ( n ≤ 0.5) obeys the relationship CD = A / Re. An equation for the quantity A as a function of the power-law index is derived. The drag coefficient becomes almost independent of the power-law index at high Reynolds numbers and the wake length changes nonlinearly with the Reynolds number and power-law index.