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Kaptay et al. considered the interfacial force acting on the particle along x direction as the derivative of the total interfacial energy by x. But the work of the movement of a particle along x direction must be equal to the change of total energy of system. When a particle moves in the liquid with interfacial tension gradient, not only the total interfacial energy between the particle and liquid, but other kinds of energy such as the enthalpy (PV, P: pressure, V : volume) of liquid and particle also change. In addition, the movement of liquid and the viscous resistance will also result in the change of total energy of system. The change of total interfacial energy between particle and liquid is not equal to the change of total energy of system. Therefore, the interfacial force acting on the particle along x direction can not be derived from the derivative of the total interfacial energy. Mukai and Lin derived out the interfacial force as the particle is in the stationary state. It is unnecessary to consider the change of total energy of system as particle moves. In addition, they obtained the same description of FI (Eq. (4)) as Eq. (3) by a method similar to that used for deriving buoyancy from stationary pressure acting on the particle that is located in fluid. Therefore, we think Eq. (3) derived by Mukai and Lin can describe the motion of fine bubbles and solid particles under the interfacial tension gradient. Kaptay et al. derived a larger interfacial force than that it should be. It can be demonstrated as follows. Mukai and Lin derived Eq. (3) by integrating dFIx dFI sin q 2py(sPL1 sPL2) sin q 2pyKdx sin q from x 8

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Reply to the Paper Named "The Force Acting on a Sphere Moving towards a Solidification Front due to an Interfacial Energy Gradient at the Sphere/Liquid Interface".