Wall effects on the transportation of a cylindrical particle in power-law fluids

► We study why the Stokes' paradox disappears in a pseudoplastic fluid for a cylinder. ► How it influences the calculation of the drag in the vicinity of the Newtonian case. ► We give the influence of the backflow on the settling velocity in a slit. ► We give the actual transportation velocity of a neutral fiber in a power-law fluid. ► These results seem to have a great influence on the thermohardening reinforced with fibers.