曲がり管内脈動流におけるビンガム流体の流動特性 : べき乗則モデルを用いた近似解析

概要

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Pulsating laminar flows of a purely viscous non-Newtonian fluid in a curved pipe of circular cross section in the high Dean number region were investigated analytically by using boundary layer approximations. The governing equations were formulated for a Power-Law fluid. The momentum integral approach and Pohlhausen's approximate method were used to analyze the flow in some detail, and the governing equations were solved by the successive approximation. In the case of steady flow, the present theory was in good agreement with previous experimental data, and the friction factor becomes greater as the pseudoplasticity index n decreases. In the case of Palsatile flow, the phase lag of the mean sectional velocity from the wave of pressure gradient, Γ, and the amplitude of the friction factor, λ^^〜_<ac>, diminishes with increasing Dean number, and Γ diminishes with increasing n. The phase lag Γ and the amplitude of the friction factor λ^^〜_<ac> derived in this work are in qualitative agreement with available experimental data.
社団法人日本機械学会の論文
1992-03-25