The formation of self-organizing single-line particle train in a channel flow of a power-law fluid is studied using the lattice Boltzmann method with power-law index 0.6≤

n

≤1.2

particle volume concentration 0.8%≤

Φ

≤6.4%

Reynolds number 10≤

Re

≤100

and blockage ratio 0.2≤k≤0.4. The numerical method is validated by comparing the present results with the previous ones. The effect

n

Φ

Re

and

k

on the interparticle spacing and parallelism of particle train is discussed. The results showed that the randomly distributed particles would migrate towards the vicinity of the equilibrium position and form the ordered particle train in the power-law fluid. The equilibrium position of particles is closer to the channel centerline in the shear-thickening fluid than that in the Newtonian fluid and shear-thinning fluid. The particles are not perfectly parallel in the equilibrium position

hence IH is used to describe the inclination of the line linking the equilibrium position of each particle. When self-organizing single-line particle train is formed

the particle train has a better parallelism and hence benefit for particle focusing in the shear-thic

kening fluid at high

Φ

low

Re

and small

k

. Meanwhile

the interparticle spacing is the largest and hence benefit for particle separation in the shear-thinning fluid at low

Φ

low

Re

and small

k

.