Alam Meheboob, Ghosh Manojit
Engineering Mechanics Unit, Jawaharlal Nehru Centre for Advanced Scientific Research, Jakkur PO, Bangalore 560064, Karnataka, India.
Philos Trans A Math Phys Eng Sci. 2023 Mar 20;381(2243):20220226. doi: 10.1098/rsta.2022.0226. Epub 2023 Jan 30.
Torque measurements are reported for the Taylor-Couette flow of a neutrally buoyant non-colloidal suspension in the counter-rotation regime up to a particle volume fraction of [Formula: see text]. A unified scaling relation for the dimensionless torque (the pseudo-Nusselt number) of the form [Formula: see text] is shown to hold over a range of Taylor numbers [Formula: see text] that covers primary, secondary and tertiary bifurcating states; here, [Formula: see text] is the reduced Taylor number, [Formula: see text] is the critical Taylor number at primary bifurcation and [Formula: see text] is the relative viscosity of the suspension. Possible effects of flow transitions and inhomogeneous distribution of particles on torque scaling are discussed. This article is part of the theme issue 'Taylor-Couette and related flows on the centennial of Taylor's seminal paper (part 1)'.
报告了在反向旋转状态下，中性浮力非胶体悬浮液的泰勒-库埃特流的扭矩测量结果，直至颗粒体积分数达到[公式：见正文]。对于无量纲扭矩（伪努塞尔数），形式为[公式：见正文]的统一标度关系表明，在一系列泰勒数[公式：见正文]范围内成立，该范围涵盖了初级、次级和三级分叉状态；这里，[公式：见正文]是约化泰勒数，[公式：见正文]是初级分叉时的临界泰勒数，[公式：见正文]是悬浮液的相对粘度。讨论了流动转变和颗粒不均匀分布对扭矩标度的可能影响。本文是主题为“泰勒开创性论文发表一百周年之际的泰勒-库埃特及相关流动（第1部分）”的一部分。
