Thanks dreens for your helpful insights. The equation stated above corresponds to Eq. (B2) of Swan's paper (the RT tensor is the transpose of TR tensor) and clearly the sign is positive, i.e. counter-intuitively (The equation seems to be a known result and it was first derived by Goldman some...
Here only the Stokes equation are solved (nonlinear term is dropped out). The mobility calculations are used, see e.g. http://authors.library.caltech.edu/9196/1/SWApof07.pdf']Swan,[/PLAIN] J. W. and Brady, J. F., Phys. Fluids 19, 113306 (2007)
Thanks for your reply.
Here the torque is oriented in the positive direction (contour-clockwise) leading to particle motion in the y direction due to hydrodynamic interactions.
Also the wall is stationary (fixed). My calculations lead to motion in y+ while intuitively one would rather expect...
Consider a small rigid spherical particle of radius a, fully immersed in a viscous incompressible Newtonian fluid of shear viscosity η above a hard-wall with stick (no-slip) boundary conditions, located at the plane z = 0. A constant positive (external) torque Tx is applied on the particle.
My...