Some Aspects of the Shear Stress Distribution in Non-Uniform Gradually Varied Open Flows
How to Cite?
V.Yu. Lyapin, S.N. Cherkasskikh, A.V. Ryzhenkov, A.V. Volkov, M.R. Dasaev, "Some Aspects of the Shear Stress Distribution in NonUniform Gradually Varied Open Flows," International Journal of Engineering Trends and Technology, vol. 69, no. 12, pp. 307-311, 2021. Crossref, https://doi.org/10.14445/22315381/IJETT-V69I12P237
Abstract
The effect of non-uniformity on the shear stress distribution in open channels was investigated using a polynomial approximation of the shear stress profile. The features of the shear stress distribution were revealed in non-uniform gradually varied turbulent and laminar flows in open channels. The parameter of non-uniformity determining the shape of the shear stress profile in accelerated and decelerated flows was obtained. It was revealed that in the accelerated flow, the shear stress reaches its maximum at the bottom, while in a decelerated flow, it can be maximal both at the bottom and at some distance from the bottom.
Keywords
hydraulics, shear stress, non-uniform flow, turbulent flow, laminar flow.
Reference
[1] K. V. Grishanin, Hydraulic resistance of natural channels. Saint Petersburg, Russia: Hydrometeoizdat, (1992) 182.
[2] A. I. Zuikov, Pressure and open flows. Hydraulics of structures. Vol. 2. Moscow, Russia: Moscow State Construction University, (2015) 423.
[3] B. A. Bakhmetev, On the uneven movement of fluid in an open channel. Leningrad, USSR: Kubuch, (1932) 305.
[4] V. Yu. Lyapin, Steady non-uniform liquid movement, the throughput of water pipelines, in Hydraulic calculations of hydraulic spillway structures. Reference manual. Moscow, USSR: Energoatomizdat, (1982) 115-119.
[5] V. Yu. Lyapin, On the assessment of the smooth variability of fluid flo, in Improving methods of hydraulic calculations of culverts and sewage treatment plants. Interuniversity Collection. Saratov, Russia: Saratov Construction Institute, (1995) 43-52.
[6] Sh. – Q. Yang, and L. Joong – Woo, Reynolds shear stress distributions in a gradually varied flow in a roughened channel, Journal of Hydraulic Research, 45(4) (2007) 462-471.
[7] M. H. Khiadani, S. Beecham, and J. Kandasamy, Muttucumaru Sivakumar. Boundary shear stress in spatially varied flow with increasing discharge, Journal of Hydraulic Engineering, 131(8) (2005) 705-713.
[8] E. V. Zalutsky, Hydraulic resistance during the movement of an accelerated turbulent flow in a hydraulically smooth channel, in Studies in applied hydrodynamics. Kyiv, Ukrainian SSR: Naukova Dumka, (1965) 23-31.
[9] E. V. Zalutsky, On energy losses in turbulent non-uniform open flows, in Studies of turbulent one- and two-phase flows. Kyiv, Ukrainian SSR: Naukova Dumka, (1966) 45-54.
[10] K. V. Grishanin, Dynamics of channel flows. Leningrad, Russia: Hydrometeoizdat, (1969) 428.
[11] K. K. Fedyaevsky, The turbulent boundary layer of the wing, ser. Trudy Tsentral`nogo aero-gidrodinamicheskogoinstitutaimeniprofessora N. Ye. Zhukovskogo [Proceedings of the Zhukovsky Central Aerodynamic Institute]. Moscow, USSR: Izd. i tip. Tsentr. aero-gidrodinamich. In-ta im. Prof. N. Ye. Zhukovskogo, (1936) 282, Part 1, 24.
[12] E. V. Eremenko, Shear stresses and pressure losses in laminar non-uniform open flows, Applied Mechanics, 1(6) (1965) 106-110.
[13] I. D. Denisenko, Determination of the waterway capacity of a channel with walls of various roughness, Izvestiyavuzov. Energetika[News of Universities. Energy], (9) (1963) 52-56.
[14] M. Hirano, and A. Kaneko, On the velocity distribution of gradually varied flow in open channels, Technology Reports of the Kyushu University, 48(6) (1975) 775-781.
[15] F. Donch, Divergence und convergente turbulent stromungenmitkleinenoffnungswinkeln. VDl-Forshungsarbeiten [Divergence and convergent turbulent currents with small opening angles.VDl research work]. Berlin, Germany: VDI Verlag, 282 (1929) 70.
[16] J. C. Rotta, Turbulent boundary layers in incompressible flow. Leningrad, USSR: Sudostroyeniye, (1967) 232.