VISCOUS FLOW OF A SUSPENSION OF LIQUID DROPS IN A CYLINDRICAL TUBE.
Abstract
Viscous flow of a liquid in a circular cylindrical tube containing an infinite line of immiscible liquid drops in suspension is considered. It is assumed that a surface tension acts which is large enough to hold the drops in a nearly spherical shape and that the drops are equally spaced along the tube axis. Three cases are considered: (1) axial translation of the drops due to a body force (2) flow of the external fluid past the drops, and (3) flow of the external fluid and liquid drops under an imposed pressure gradient. Both fluids are taken to be Newtonian and incompressible, and the equations of creeping flow are used. Exact solutions are obtained in the form of infinite series. The drag on the drops and the pressure gradients are computed for a range of drop radius to tube radius up to 0.8, and for the ratio of drop viscosity to external fluid viscosity from zero to 100. The results show that the drag and pressure drop per sphere increase with both increasing drop spacing and drop radius. The presence of the internal motion of the drops reduces the drag and pressure gradient below those for rigid spheres. (Author)
Document Details
- Document Type
- Technical Report
- Publication Date
- Jan 01, 1969
- Accession Number
- AD0682979
Entities
People
- Richard Skalak
- William A. Hyman
Organizations
- Columbia University