The development lengths of laminar pipe and channel flows

Journal of Fluids Engineering, Transactions of the ASME

Volumn 127, Issue 6, 2005, Pages 1154-1160

  Durst, F ^a   Ray, S ^a,b   Unsal B ^a   Bayoumi, O A ^a  

^a UNIVERSITY OF ERLANGEN NUREMBERG   (Germany)

^b JADAVPUR UNIVERSITY   (India)

Author keywords

[No Author keywords available]

Indexed keywords

CHANNEL FLOW; DIFFUSION; HEAT CONVECTION; PIPE FLOW; PULSATILE FLOW; REYNOLDS NUMBER;

LAMINAR PIPE FLOW; PARABOLIC VELOCITY PROFILE; SUPERIMPOSED DIFFUSION;

LAMINAR FLOW;

EID: 27944500719     PISSN: 00982202     EISSN: None     Source Type: Journal    
DOI: 10.1115/1.2063088     Document Type: Article

References (30)

1. Schlichting, H., 1979, Boundary Layer Theory. McGraw-Hill, NY.
2. Schiller, L., 1922, "Die Entwicklung der laminaren Geschwindigkeitsverteilung und ihre Bedeutung für Ä hnlichkeitsmessungen," Z. Angew. Math. Mech., 2, pp. 96-106.
3. Langhaar, H. L., 1942, "Steady flow in the transition length of a straight tube," J. Appl. Mech., 9, pp. 55-58
4. Sparrow, E. M., Lin, S. H., and Lundgren, T. S., 1964, "Flow development in the hydrodynamic entrance region of tubes and ducts," Phys. Fluids, 7(3), pp. 338-347.
5. Schmidt, F. W., and Zeldin, 1969, "Laminar flow in inlet sections of tubes and ducts," AIChE J., 15(4), pp. 612-614.
6. Lew, H. S., and Fung, Y. C., 1970, "Entry flow into blood vessels at arbitrary Reynolds number," J. Biomech., 3, p. 23.
7. Mohanty, A. K., and Asthana, B. L., 1979, "Laminar flow in the entrance region of a smooth pipe," J. Fluid Mech., 90, pp. 433-449
8. Boussinesq, J., 1891, "Sur la maniere don't les vitesses, dans un tube cylindrique de section circulaire, evase a son entrée, se distribuent depuis entrée jusqu'aux endroits ou se trouve etabli un regime uniforme," Compt. Rend., 113, pp. 49-51.
9. Nikuradse, J., 1950, Applied Hydro and Aerodynamics, McGraw-Hill, NY, p. 27.
10. Atkinson, B., and Goldstein, S., 1938, Unpublished work described in Modern Developments in Fluid Dynamics, Oxford University Press, Oxford, Vol. 1, p. 304.
11. Siegel, R., 1953, "The effect of heating on boundary layer transition for liquid flow in a tube," Sc.D. thesis, Massachusetts Institute of Technology, Cambridge, MA.
12. Bogue, D. C., 1959, "Entrance effects and prediction of turbulence in non Newtonian flow," Ind. Eng. Chem., 51(7), p. 874-878.
13. Tomita, 1959, Soc. Chem. Engrs. Japan, 23, pp. 525-529.
14. Campbell, W. D., and Slattery, J. C., 1963, "Flow in the entrance of a tube," ASME J. Basic Eng., Series D, 85(1), pp. 41-46.
15. Collins, M., and Schowalter, W. R., 1963, "Behaviour of non-Newtonian fluids in the inlet region of a channel," AIChE J., 9, pp. 98-102.
16. Hornbeck, R. W., 1964 "Laminar flow in the entrance region of a pipe," Appl. Sci. Res., Sect. A, 13, pp. 224-236.
17. McComas, S. T., and Eckert, E. R. G., 1965, "Laminar pressure drop associated with the continuum entrance region and for slip flow in a circular tube," ASME J. Appl. Mech., 32, p. 765-770.
18. Christiansen, E. B., and Lemmom, H. E., 1965, "Entrance region flow," AIChE J., 11(6), pp. 995-999.
19. Vrentas, J. S., Duda J. L., and Bargeron, K. G., 1966, "Effect of Axial Diffusion of Vorticity on Flow Development in Circular Conduits," AIChE J., 12, pp. 837-844.
20. McComas, S. T., 1967, "Hydrodynamic entrance lengths for ducts of arbitrary cross section," J. Basic Eng., 89, pp. 847-856.
21. Friedmann, M., Gillis, J., and Liron, N., 1968, "Laminar flow in a pipe at low and moderate Reynolds numbers," Appl. Sci. Res., 19(6), pp. 426-433.
22. Atkinson, B., Brocklebank, M. P., Card C. C. H., and Smith, J. M., 1969, "Low Reynolds number developing flows," AIChE J., 15, pp. 548-553.
23. Fargie, D., and Martin, B. W., 1971, "Developing laminar flow in a pipe of circular cross section," Proc. R. Soc. London, Ser. A, 321, pp. 461-476.
24. Chen, R. Y., 1973, "Flow in the entrance region at low Reynolds numbers," J. Fluids Eng., 95, pp. 153-158.
25. Gupta, R. C., 1977, "Laminar flow in the entrance of a tube," Appl. Sci. Res., 33, p. 1-10.
26. Durst, F., Heim, U., Ünsal, B., and Kullik, G., 2003, "Mass flow rate control system for time-dependent laminar and turbulent flow investigations," Meas. Sci. Technol., 14, p. 893.
27. Ferziger, J. H., and Peric, M., 1999, Computational Methods for Fluid Dynamics, 2nd ed., Springer, Berlin.
28. Patankar, S. V., 1980, Numerical Heat Transfer and Fluid Flow, Hemisphere, WA, D.C.
29. Stone, H. L., 1968, "Iterative solution of implicit approximations of multidimensional partial differential equations," SIAM (Soc. Ind. Appl. Math.) J. Numer. Anal., 5, pp. 530-541.
30. Churchill, S. W., and Usagi, R., 1972, "A general expression for the correlation of rates of heat transfer and other phenomenon," AIChE ]., 18, pp. 1121-1132.