“…The tangential damping force, F , , is expressed as Accordingly, the tangential torques acting on th barite particle due to barite particle collision ( th barite particle) is expressed as [15] T , = r × (F , + F , ) , (A.11) and the torque to resist rolling action on th barite particle due to barite particle collision ( th barite particle) is given as [15] T , = − r F , , 12) where r is a vector from the center of mass of barite particle to the contact point, is the rolling friction coefficient, and is the relative angular velocity of barite particle to particle , ( − ). The torques T , and T , are generated by the tangential contact forces and the rolling friction, respectively.…”