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A mechanistic model to determine the critical flow velocity required to initiate the movement of spherical bed particles in inclined channels
Authors:A Ramadan  P Skalle
Affiliation:a Department of Petroleum Engineering and Applied Geophysics, NTNU, Trondheim, Norway
b SINTEF Material and Technology, Trondheim, Norway
Abstract:This study presents a mechanistic model that predicts the critical velocity, which is required to initiate the movement of solid bed particles. The model is developed by considering fluid flow over a stationary bed of solid particles of uniform thickness, which is resting on an inclined pipe wall. Sets of sand bed critical velocity tests were performed to verify the predictions of the model. An View the MathML source flow loop with recirculation facilities was constructed to measure the critical velocities of the sand beds. The tests were carried out by observing the movement of the bed particles in a transparent pipe while regulating the flowrate of the fluid. Water and aqueous solutions of PolyAnoinic Cellulose were used as a test fluid. The critical velocities of four sand beds with different particle size ranges were measured. The model was used to predict the critical velocities of the beds. The model predictions and experimentally measured data show satisfactory agreement. The results also indicated that the critical velocity is influenced by the properties of the fluid, flow parameters, and particle size.
Keywords:Modeling   Mathematical   Solids transport   Non-Newtonian fluid   Hydrodynamics   Particles
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