Dispersion of matter in non-Newtonian laminar flow through a circular tube

Taylor’s analyses of the dispersion of Newtonian fluids in laminar flow in a circular tube are extended to the flow of the Bingham plastic and Ellis model fluid. The previous results for the Newtonian fluid and power-low fluid can be deduced from the results of this work. It is indicated that Aris’s modification of Taylor’s analyses can be naturally applied to the non-Newtonian fluid. Results obtained for laminar flow between two parallel plane walls are given in the appendix.

1962 ◽  
Vol 29 (4) ◽  
pp. 609-614 ◽  
Author(s):  
C. J. Cremers ◽  
E. R. G. Eckert

Previous studies by flow visualization have indicated that the flow through a duct of triangular cross section is in its characteristics quite different from flow through a duct with circular cross section. They revealed among others that purely laminar flow exists in the corners of the duct even though the bulk of the fluid moves in turbulent motion. Heat-transfer measurements in such a duct appear to indicate that the turbulent transport in the direction of the height of the duct is considerably smaller than expected from circular tube measurements. The present paper reports the measurements of turbulent correlations for turbulent flow through such a duct. These measurements have been made with hot wires of very small dimensions. They again reveal the existence of a laminar corner region. In the bulk of the fluid, the differences of the correlations to those in a round tube turned out to be smaller than originally suspected.


1990 ◽  
Vol 68 (2) ◽  
pp. 191-196 ◽  
Author(s):  
Teruo Takahashi ◽  
Takashi Korenaga ◽  
Fenghua Shen

The longitudinal dispersion of a finite slug of gas has been measured at various velocities by using a gas (1,3-butadiene) that absorbs in the ultra-violet region and passing the dispersed slug through a narrow beam of ultra-violet light of wavelength 250mμ. To avoid effects of differences in gas density, the second gas (1-butyne) was chosen to have the same molecular weight as butadiene. The range of applicability of Sir Geoffrey Taylor’s virtual coefficient of diffusivity has been discussed. The experimental observation that the peak mean concentration passes through a maximum value with velocity has been explained by considering the relative rates of dispersion by convection, longitudinal molecular diffusion and radial molecular diffusion.


2012 ◽  
Vol 134 (5) ◽  
Author(s):  
Sujoy Kumar Saha ◽  
Bikram Narayan Swain ◽  
G. L. Dayanidhi

The experimental friction factor and Nusselt number data for a laminar flow through a circular duct having axial corrugation and fitted with helical screw-tape inserts have been presented. Predictive friction factor and Nusselt number correlations have also been presented. The thermohydraulic performance has been evaluated. The major findings of this experimental investigation are that the helical screw-tape inserts, in combination with axial corrugation, perform better than the individual enhancement technique acting alone for laminar flow through a circular duct.


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