Axisymmetric pure straining flow

In the present circumstances, we consider a dilute suspension that is undergoing an axisymmetric pure straining flow, (e,-j)Xj. For this case, the velocity field in the vicinity of each of the spherical particles is given by (7-185), namely,... 

In other words, we consider the first departure in (8-26) from a uniform flow. As previously noted, we solved one example of this type in the preceding chapter, namely axisymmetric pure straining flow, where... 

The expressions (8-44) and (8 45) represent a complete, exact solution of the creeping-flow equations for a completely arbitrary linear flow. Among the linear flows of special interest are axisymmetric pure strain, which was solved by means of the eigenfunction expansion for axisymmetric flows in the previous chapter, and simple shear flow, for which... 

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