The viscous flow in a curved tube with partial slip on the boundary occurs in many practical situations. The problem is formulated in curved tube coordinates and solved by perturbation for small curvature. The mutual interaction of slip, curvature, and inertia causes changes in the axial flow, surface shear, and secondary flow. It is found that the net flow increases with increased slip and decreased Reynolds numbers.
Issue Section:
Technical Papers
1.
Berger
, S. A.
, and Talbot
, L.
, 1983
, “Flow in Curved Pipes
,” Annu. Rev. Fluid Mech.
, 15
, pp. 461
–502
.2.
Sharipov
, F.
, and Seleznev
, V.
, 1998
, “Data on Internal Rarefied Gas Flows
,” J. Phys. Chem. Ref. Data
, 27
, pp. 657
–706
.3.
Navier
, C. L. M.
, 1827
, “Sur les lois du mouvement des fluids
,” C.R. Acad. Sci.
, 6
, pp. 389
–440
.4.
Kennard, E. H., 1938, Kinetic Theory of Gases, MaGraw-Hill, New York, Chap. 8.
5.
Nicola, P. D., Maggi, G., Tassi, G., 1983, Microcirculation-An Altas, Schattauer, Stuttgart.
6.
Dean
, W. R.
, 1927
, “Note on the Motion of a Fluid in a Curved Pipe
,” Philos. Mag.
, 4
, pp. 208
–233
.7.
Batchelor, G. K., 1967, An Introduction to Fluid Dynamics, Cambridge Univ. Press, Cambridge, UK, Appendix 2.
8.
Topakoglu
, H. C.
, 1967
, “Steady Laminar Flows of an Incompressible Viscous Fluid in Curved Pipes
,” J. Math. Mech.
, 16
, pp. 1321
–1337
.9.
Wang
, C. Y.
, 1981
, “On the Low Reynolds Number Flow in a Helical Pipe
,” J. Fluid Mech.
, 108
, pp. 185
–194
.10.
Wang
, C. Y.
, 1980
, “Flow in Narrow Curved Channels
,” ASME J. Appl. Mech.
, 47
, pp. 7
–10
.11.
Sarkar
, K.
, and Prosperetti
, A.
, 1996
, “Effective Boundary Conditions for Stokes Flow Over a Rough Surface
,” J. Fluid Mech.
, 316
, pp. 223
–240
.Copyright © 2003
by ASME
You do not currently have access to this content.