Hydrodynamic Interaction Effects in Rigid Dumbbell Suspensions. II. Computations for Steady Shear Flow

Hydrodynamic Interaction Effects in Rigid Dumbbell Suspensions. II. Computations for Steady Shear Flow
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DOI:
10.1122/1.549275
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发表时间:
1972-03
期刊:
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影响因子:
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通讯作者:
W. E. Stewart;J. P. Sørensen
W. E. Stewart;J. P. Sørensen
中科院分区:
其他
文献类型:
--
作者:
W. E. Stewart;J. P. Sørensen

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计算溶质分子的角分布和流体中的空间平均应力,以获得刚性哑铃溶液的稳定剪切流。计算采用伽辽金法,以球谐函数为试函数。将全范围剪切速率 0⩽λhκ⩽∞ 和哑铃宽/长比 0⩽h⩽38 的应力制成表格。当剪切速率较大时,应力分量变为剪切速率的幂函数。 Cox 和 Merz 的类比对于较小的宽度/长度比 (h≐0) 比对于较大的宽度/长度比更突出。
The angular distribution of solute molecules, and the space‐averaged stresses in the fluid, are computed for steady shear flows of solutions of rigid dumbbells. The computation is done by Galerkin's method, with spherical harmonics as the trial functions. The stresses are tabulated for the full range of shear rates, 0⩽λhκ⩽∞, and dumbbell width/length ratios, 0⩽h⩽38. The stress components become power functions of shear rate when the latter is large. The analogy of Cox and Merz bolds better for small width/length ratios (h≐0) than for large ones.