The Effect of Wall Slip Condition on the Transient Flow of Voigt Fluid under Given Inlet Volume flow rate Variations

摘要

In this research, the flow motion in a micro-tube is induced by a prescribed arbitrary inlet volume flow rate condition which varies with time. In order to solve analytically the velocity profile and pressure gradient of the unsteady unidirectional slip flow of Voigt fluid, Laplace transform method is adopted in this research. Four ideally designed given inlet flow rate conditions are given to find out the corresponding analytic solutions. These flow rate conditions are a suddenly started flow, a constant acceleration flow, linear acceleration flow, and oscillatory flow, respectively.