AbstractFour specific factors, concerned with the geometry and frictional effects of a cylindrical capsule flowing freely in a liquid‐filled pipe in which the liquid is in laminar flow, have been investigated numerically. The factors are: axial displacement of the capsule from the concentric position, end configuration and length of capsule, deformed circular cross‐section and frictional effect between the bottom of the capsule and the inside pipe surface. The effect which axial displacement has on any dynamic variable, e.g. capsule velocity, was found to be a uniformly increasing one for up to 90% of the total possible displacement. Beyond 90% displacement the effect was relatively much more pronounced.Friction was found to decrease capsule velocity uniformly: as the friction force was increased a critical value was reached for larger capsules which resulted in a rapid decrease to zero. The effect of end shape on velocities and flow rates was found to be negligible, although there was a considerable change in flow pattern. Deformation of the capsule, i.e. deformation through a vertical cross‐section, caused little effect for 10–20% deformations, beyond which there was almost a linear increase of percentage deformation with pressure gradient required to maintain the same capsule velocity. The rate of increase itself increased with the proximity of the capsule to the pipe wall.
Read full abstract