稳态悬浮体有效粘滞率张量的计算

Calculation of effective viscosity tensor of steady suspensions

把变换场的概念引进稳态悬浮体领域，运用第一性原理计算方法，用变换场拟合其边界条件，并考虑到具有周期性的各量在谱空间的表示式，从而建立了确定悬浮体的形变张量场的求解方程，定义了悬浮体的粘滞率张量，给出了计算悬浮体粘滞率张量的新方法，该方法的创新之处在于它不再受颗粒浓度的限制，所得结果也克服了Homsy、Nunan及Keller等人在对立方体系结构中等颗粒浓度的悬浮体研究中提出理论的局限性，从而为进一步研究悬浮体的流变学性质开辟了新的途径。

By introducing the variational field into the domain of steady suspension, a calculation method of first principle is used to fit the boundary condihons by the variational field, with the expressions of all the periedic words in spectral space, and evaluation equation of deformed tensor field in suspensions taken into consideration. In the meantime, the viscosity tensor of suspensions is defined and a new calculation method is proposed for the viscosity tensor of suspensions. The method is not limited by particles concentration in systems. The results exceed tLhe limitations of the theory given by Homsy, Nunan and Keller, in their study of middle particles concentration in cube structure, fo the calculation method paves a new way for further study on rheology character suspensions.