Computation of the velocity profile in the flow of an anomalously viscous liquid in cylindrical channels of arbitrary cross section

1978 ◽  
Vol 34 (6) ◽  
pp. 731-733
Author(s):  
K. D. Vachagin ◽  
Yu. G. Nazmeev
1967 ◽  
Vol 89 (4) ◽  
pp. 847-850 ◽  
Author(s):  
S. T. McComas

A general analytical method is presented for determination of the hydrodynamic entrance length of ducts of arbitrary cross section. Only knowledge of the fully developed velocity profile is required in order to determine this length in comparison to other approaches which require a detailed analysis of the flow development. This method is applied to circular, elliptical, annular, rectangular, and triangular ducts with numerical results presented.


1964 ◽  
Vol 86 (3) ◽  
pp. 620-626 ◽  
Author(s):  
T. S. Lundgren ◽  
E. M. Sparrow ◽  
J. B. Starr

A general analytical method has been devised for determining the pressure drop due to flow development in the entrance region of ducts of arbitrary cross section. The essential feature of the analysis is that the pressure drop can be determined without actually solving for the entrance-region velocity development. Instead, the calculation only requires a knowledge of the fully developed velocity profile. Application of the method is made to a variety of cross sections including the circular tube, elliptical ducts, rectangular ducts, isosceles triangular ducts, and annular ducts. Numerical results are presented and comparisons are made with available experiments and with prior analysis.


1990 ◽  
Vol 137 (2) ◽  
pp. 145 ◽  
Author(s):  
C.Y. Kim ◽  
S.D. Yu ◽  
R.F. Harrington ◽  
J.W. Ra ◽  
S.Y. Lee

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