Rotne-Prager tensor

The Rotne-Prager tensor can also be used to approximate HI effects. The form shown below is for spheres of equal radius ... 

Close to a planar surface with no-slip boundary condition, the traditional Rotne-Prager mobilities can no longer be employed. The velocity and pressure fields of a point force for this boundary condition were first derived by Lorentz more than 100 years ago [86]. Blake put these results into a modem form replacing the Oseen tensor by the appropriate Green function, now called Blake tensor [87]. The condition of a... 

This accounts approximately for the disturbance at bead T resulting from the motion of bead 2 a more accurate description of hydrodynamic interaction is given by the Rotne-Prager-Yamakawa tensor. When the above modification of the theory is made, equation (55) is changed to... 

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