Abstract
New models for the prediction of laminar and turbulent flow of non-Newtonian fluids in open channels of different cross-sectional shapes are proposed. These models are compared with three previously published models for laminar flow and five previously published models for turbulent flow using a recently extended experimental database for non-Newtonian flow in open channels of different cross-sectional shapes. Flow of three different fluids (aqueous carboxymethylcellulose solutions and kaolin and bentonite suspensions) was investigated in open channels of four different cross sections (rectangular, semicircular, trapezoidal, and triangular) at slopes varying from 1 to 5°. The new laminar model gave a closer fit to the data than those from the previously published models. However, the presence of the yield stress still presents a problem that makes flow prediction in laminar flow for such fluids not very accurate. The new model for turbulent flow gave the best fit to the flow data compared with the five previously published models, which fell within a 30% error margin. A particular advantage of both new models is that they are applicable for all the different fluids tested and the four open channel cross-sectional shapes.
Get full access to this article
View all available purchase options and get full access to this article.
Acknowledgments
The financial support of this work from the National Research Foundation (NRF) and Cape Peninsula University of Technology (CPUT) is very much appreciated.
References
Alderman, N. J., Ram Babu, D., Hughes, T. L., and Maitland, G. C. (1989). “The rheological properties of water-based drilling fluids—Effect of bentonite chemistry.” Speciality Chem., 9(5), 314–326.
Burger, J. H., Haldenwang, R., and Alderman, N. J. (2010a). “Experimental database for non-Newtonian flow in four channel shapes.” J. Hydraul. Res., 48(3), 363–370.
Burger, J. H., Haldenwang, R., and Alderman, N. J. (2010b). “Friction factor-Reynolds number relationship for laminar flow of non-Newtonian fluids in open channels of different cross-sectional shapes.” Chem. Eng. Sci., 65(11), 3549–3556.
Chanson, H. (1999). The hydraulics of open channel flow, Arnold, London.
Chow, V. T. (1959). Open channel hydraulics, McGraw-Hill, New York.
Coussot, P. (1994). “Steady laminar flow of concentrated mud suspensions in open channels.” J. Hydraul. Res., 32(4), 535–559.
Fitton, T. G. (2007). “Tailings beach slope prediction.” Ph.D. thesis, RMIT Univ., Melbourne, Australia.
Fitton, T. G. (2008). “Non-Newtonian open channel flow– A simple method of estimation of laminar/turbulent transition and flow resistance.” Paste 2008, A. B. Fourie, R. J. Jewell, A. Paterson, and P. Slatter, eds., Australian Centre for Geomechanics, Broadway Nedlands, WA, 245–251.
Fuentes, R. (2004). “Slurry flumes in Chile.” Hydrotransport 16: 16th Int. Conf. on the Hydraulic Transport of Solids in Pipes, BHR Group, The Fluid Engineering Centre, Bedfordshire, U.K.
Haldenwang, R., and Slatter, P. T. (2006). “Experimental procedure and database for non-Newtonian open channel flow.” J. Hydraul. Res., 44(2), 283–287.
Haldenwang, R., Slatter, P. T., and Chhabra, R. P. (2002). “Laminar and transitional flow in open channels for non-Newtonian fluids.” Hydrotransport 15: 15th Int. Conf. on the Hydraulic Transport of Solids in Pipes, BHR Group, The Fluid Engineering Centre, Bedfordshire, U.K., 755–768.
Haldenwang, R., Slatter, P. T., Vanyaza, S., and Chhabra, R. P. (2004). “The effect of shape on laminar flow in open channels for non-Newtonian fluids.” Proc., of Hydrotransport 16: 16th Int. Conf. on Hydrotransport, BHR Group, The Fluid Engineering Centre, Bedfordshire, U.K., 311–325.
Kozicki, W., Chou, C. H., and Tiu, C. (1966). “Non-Newtonian flow in ducts of arbitrary cross-sectional shape.” Chem. Eng. Sci., 21(8), 665–679.
Kozicki, W., and Tiu, C. (1967). “Non-Newtonian flow through open channels.” Can. J. Chem. Eng., 45(3), 127–134.
Kozicki, W., and Tiu, C. (1988). “Parametric modelling of flow geometries in non-Newtonian flows.” Encyclopedia of fluid mechanics, N. P. Cheremisinoff, ed., Vol. 7, Gulf, Houston, 199–252.
Lazarus, J. H., and Nielson, I. D. (1978). “A generalised correlation for friction head losses of settling mixtures in horizontal smooth pipelines.” Hydrotransport 5: 5th Int. Conf. on the Hydraulic Transport of Solids in Pipes, BHR Group, The Fluid Engineering Centre, Bedfordshire, U.K.
Manning, R. (1890). “On the flow of water in open channels and pipes.” Trans. Inst. Civ. Eng., 20, 161–207.
Sestak, J. (1974). “Flow of non-Newtonian fluids in open circular channels.” Can. J. Chem. Eng., 52(5), 670–672.
Straub, L. G., Silberman, E., and Nelson, H. C. (1958). “Open channel flow at small Reynolds numbers.” Trans. ASCE, 123(1), 685–706.
Thomas, A. D., and Wilson, K. C. (1987). “New analysis of non-Newtonian turbulent flow-yield power law fluids.” Can. J. Chem. Eng., 65(2), 335–338.
Torrance, B. McK (1963). “Friction factors for turbulent non-Newtonian flow in circular pipes.” South African Mech. Eng., 13, 89–91.
Wilson, K. C. (1991). “Flume design for homogeneous slurry flow.” Part. Sci. Technol., 9(3–4), 149–159.
Wilson, K. C., and Thomas, A. D. (1985). “A new analysis of the turbulent flow of non-Newtonian fluids.” Can. J. Chem. Eng., 63(4), 539–546.
Information & Authors
Information
Published In
Copyright
© 2014 American Society of Civil Engineers.
History
Received: Jan 17, 2014
Accepted: Oct 3, 2014
Published online: Nov 25, 2014
Published in print: Apr 1, 2015
Discussion open until: Apr 25, 2015
ASCE Technical Topics:
- Channel flow
- Channels (waterway)
- Computing in civil engineering
- Cross sections
- Databases
- Engineering fundamentals
- Errors (statistics)
- Flow (fluid dynamics)
- Fluid dynamics
- Fluid flow
- Fluid mechanics
- Hydraulic engineering
- Hydraulic structures
- Hydrologic engineering
- Information Technology (IT)
- Laminar flow
- Mathematics
- Open channel flow
- Open channels
- Statistics
- Turbulent flow
- Water and water resources
- Waterways
Authors
Metrics & Citations
Metrics
Citations
Download citation
If you have the appropriate software installed, you can download article citation data to the citation manager of your choice. Simply select your manager software from the list below and click Download.