FINITE ELEMENT SIMULATION OF NON-ISOTHERMAL LOW REYNOLDS NUMBER NON-NEWTONIAN FLOWS

1986 ◽  
Author(s):  
John Vlachopoulos
Keyword(s):  
Reynolds Number ◽  
Finite Element ◽  
Finite Element Simulation ◽  
Low Reynolds Number ◽  
Newtonian Flows ◽  
Element Simulation ◽  
Low Reynolds

A Finite Element Study of Low Reynolds Number Two-Phase Flow in Cylindrical Tubes

1985 ◽  
Vol 52 (2) ◽  
pp. 253-256 ◽  
Author(s):  
E. I. Shen ◽  
K. S. Udell
Keyword(s):  
Reynolds Number ◽  
Finite Element ◽  
Low Reynolds Number ◽  
Cell Movement ◽  
Cylindrical Tube ◽  
Two Phase ◽  
Bubble Liquid ◽  
Cylindrical Tubes ◽  
Low Reynolds ◽  
Steady State Problem

A finite element solution to the steady-state problem of an inviscid bubble flowing at low Reynolds number in a cylindrical tube occupied by a second viscous phase was obtained. Interfacial tension forces were balanced against the viscous and pressure forces in order to locate the position of bubble-liquid interface. Velocities, pressures, and film thicknesses were obtained as a function of the capillary number. Specific applications of these results include the description of multiphase flow in tubes and porous media, and blood cell movement in small capillaries. The numerical results are compared with published theories and experiments.

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