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Slip velocity of amorphous fluid inside wavy-rough microtubes tuned by temperature

Using the boundary perturbation technique together with Eyring's transition-rate-theory model, we can obtain approximately the slip velocity of amorphous fluids inside the wavy-rough microtube. Our calculations show that, once the slip length is set to zero, there is a temperature as well as an activation energy-dependent slip velocity (up to second order) near the wall. This nonzero velocity near the boundary of the microtube is proportional to the small amplitude of wavy-roughness, the curvature of the tube (inner) surface, the applied forcing, the orientation and the referenced shear rate, which is strongly temperature dependent once the activation energy is fixed.