On the measurement of transverse shear stress in a rectangular open channel using an optimal Preston tube

Document Type : Article

Authors

Department of Civil Engineering, Jundi-Shapur University of Technology, Dezful, Iran.

Abstract

The laboratory studies have been carried out in this research. Determining the sensitivity analysis of the Preston tube diameter in shear stress, four Preston tubes with external diameters of 3.2, 3.9, 4.7 and 6.3 mm were used. The aspect ratios of 2.86 to 13.95 were examined. For measuring the pressure difference of the Preston tube a 200 millibar differential pressure transducer with 0.01 accuracy of the original scale was used. Laboratory results demonstrated that Preston tubes with a diameter of 3.9 mm present the minimum difference in the average value of the shear stress resulting from the Bechert and Patel calibration equations. Therefore, using the Preston tube with an optimal diameter, transverse distribution of shear stress in channels bed and wall were determined. The outcome of this part of study is two dimensionless relationships for determining the local shear stress both in the bed and wall. These relationships are a function of the aspect ratio B/H and the bed relative coordinates b/B in cross section and Z/H sidewall. The survey showed that the dimensionless bed shear stress distribution is considerably influenced by the aspect ratio. The transverse distribution of wall shear stress is independent from the aspect ratio for B/H>3.

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References:
1. Olsen, O.J. and Florey Q.L. "Sedimentation studies in open channels: Boundary shear and velocity distribution by the membrane analogy, analytical, and finite difference methods", Laboratory Report, Sp-34, U.S. Bureau of Reclamation (1952).
2. Ghosh, S.N. and Roy, N. "Boundary shear distribution in open channel  flow", Journal of Hydraulic Division, ASCE, 96(4), pp. 967-994 (1970).
3. Kartha, V.C. and Leutheusser, H.J. "Distribution of tractive force in open channels", Journal of the Hydraulics Division, ASCE, 15, pp. 1469-1483 (1970).
4. Knight, D.W. and Patel, H.S. "Boundary shear in smooth rectangular ducts", Journal of Hydraulic Engineering, ASCE, 1l1(1), pp. 29-47 (1985a).
5. Knight, D.W. and Patel, H.S. "Boundary shear stress distributions in rectangular duct  flow", In Proceedings of the 2nd Intl Symposium On Refined Flow Modeling and Turbulence Measurements, Hemisphere, Washington, 122, pp. 1-10 (1985b).
6. Knight, D.W., Yuen, K.W.H., and Al Hamid, A.A.F. "Boundary shear stress distributions in open channel  flow", In Physical Mechanisms of Mixing and Transport in the Environment, K. Bevon, P. Chakin and J. Willbank, Eds., J. Wiley, New York, USA, pp. 51-87 (1994).
7. Sutardi, M. and Ching, C.Y. "Effect of tube diameter on Preston tube calibration curves for the measurement of wall shear stress", Experimental Thermal and Fluid Science, 24(3), pp. 93-97 (2001).
8. Bechert, D.W. "Calibration of Preston tube", AIAA Journal, 34(1), pp. 205-206 (1995).
9. Patel, V.C. "Calibration of the Preston tube and limitations on its use in pressure gradients", Journal of Fluid Mechanics, 23, pp. 185-208 (1965).
10. Ardiclioglu, M., Seckin, G., and Yurtal, R. "Shear stress distributions along the cross-section in smooth and rough open channel  flows", Kuwait Journal of Science and Engineering, 33(1), pp. 155-168 (2005).
11. Knight, D.W., Omran, M., and Tang, X. "Modeling depth-averaged velocity and boundary shear in trapezoidal channels with secondary flows", Journal of Hydraulic Engineering, 133(1), pp. 39-47 (2007).
12. Lashkar-Ara, B., Fathi-Moghadam, M., Shafai-Bajestan, M., and Jael, A. "Boundary shear stress in smooth channels", International Journal of Food, Agriculture & Environment, 8, pp. 343-347 (2010).
13. Lashkar-Ara, B. and Fathi-Moghadam, M. "Analysis of shear stress in rectangular open channels using force balance method", Journal of Hydraulics, 9(3), pp. 33-44 (2014) (In Persian).
14. Lv, H., Jiang, C., Xiang, Z., Ma, B., Deng, J., and Yuan, W. "Design of a micro floating element shear stress sensor", Flow Measurement and Instrumentation, 30, pp. 66-74 (2013).
15. Devi, K. and Khatua, K.K. "Prediction of depth averaged velocity and boundary shear distribution of a compound channel based on the mixing layer theory", Flow Measurement and Instrumentation, 31(50), pp. 147-157 (2016).
16. Park, J.H., Do Kim, Y., Park, Y.S., Jo, J.A., and Kang, K. "Direct measurement of bottom shear stress under high-velocity  flow condition", Flow Measurement and Instrumentation, 30, pp. 121-127 (2016).
17. Shan, Y., Liu, C., Luo, M., and Yang, K. "A simple method for estimating bed shear stress in smooth and vegetated compound channels", Journal of Hydrodynamics, Ser. B, 28(3), pp. 497-505 (2016).
18. Sheikh Khozani, Z. and Bonakdari, H. "Comparison of five different models in predicting the shear stress distribution in straight compound channels", Scientia Iranica, Transaction A: Civil Engineering, 23(6), pp. 2536-2545 (2016).
19. Yang, S.Q. and Lim, S.Y. "Mechanism of energy transportation and turbulent flow in a 3D channel", J. Hydraul. Eng., 123(8), pp. 684-692 (1997).
20. Khodashenas, S.R. and Paquier, A. "A geometrical method for computing the distribution of boundary shear stress across irregular straight open channel", J. Hydraul. Res., 37(3), pp. 381-388 (1999).
21. Sterling, M. and Knight, D.W. "An attempt at using the entropy approach to predict the transverse distribution of boundary shear stress in open channel  flow", Stoch. Env. Res. Risk Assess., 16(2), pp. 127-142 (2002).
22. Zarrati, A.R., Jin, Y.C., and Karimpour, S. "Semianalytical model for shear stress distribution in simple and compound open channels", J. Hydraul. Eng., 134(2), pp. 205-215 (2008).
23. Bonakdari, H., Larrarte, F., and Joannis, C. "Study of shear stress in narrow channels: application to sewers", Urban Water, 5(1), pp. 15-20 (2008).
24. Mohammadi, M.A. "On the distribution of velocity in a V-shaped channel", Scientia Iranica, Transactions A: Civil Engineering, 16(1), pp. 78-86 (2009).
25. Preston, J.H. "The determination of turbulent skin friction by means of pitot tubes", Journal of the Royal Aeronautical Society, 58(518), pp. 109-121 (1954).
26. Knight, D.W., Demetriou, J.D., and Hamed, M.E. "Boundary shear in smooth rectangular channels", Journal Hydraulics Engineering, ASCE, 110(4), pp. 405-422 (1984).
27. Knight, D.W. and Hamed, M.E. "Boundary shear in symmetrical compound channels", Journal of Hydraulic Engineering, ASCE, 110(10), pp. 1412-1430 (1984).
28. Myers, R.C. and Elsawy, E.M. "Boundary shear in channel with flood plain", Journal of Hydraulic Division, ASCE, 101(7), pp. 933-946 (1975).
29. Cokljat, D. and Younis B.A. "Second-order closure study of open-channel flows", Journal of Hydraulic Engineering, ASCE, 121(2), pp. 94-107 (1995).
Volume 27, Issue 1
Transactions on Civil Engineering (A)
January and February 2020
Pages 57-67
  • Receive Date: 29 March 2017
  • Revise Date: 14 January 2018
  • Accept Date: 24 February 2018