ESTIMATION OF SHEAR STRESS IN SMOOTH TRAPEZOIDAL OPEN-CHANNELS USING CONFORMAL MAPPING

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JAVID S.; MOHAMMADI M.A.

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ISSN: 2588-4824

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Paper Information

Journal: WATER AND SOIL SCIENCE (AGRICULTURAL SCIENCE) Year:2012 | Volume:22 | Issue:2 Page(s): 17-26

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Title

ESTIMATION OF SHEAR STRESS IN SMOOTH TRAPEZOIDAL OPEN-CHANNELS USING CONFORMAL MAPPING

Author(s)

JAVID S. | MOHAMMADI M.A. | Issue Writer Certificate

Keywords

CONFORMAL MAPPINGQ3

EDDY VISCOSITYQ4

SECONDARY CURRENTSQ4

SHEAR STRESSQ4

TRAPEZOIDAL CHANNELQ4

Abstract

The bed and sidewall average SHEAR STRESSes in smooth trapezoidal open-channels are determined by solving the continuity and momentum equations. The isovels and orthogonal for a TRAPEZOIDAL CHANNEL section with 1: 1 sidewall aspect ratio were obtained by using CONFORMAL MAPPING technique. New equations were drived by determining a portion of bed SHEAR STRESS from total SHEAR STRESS. As a first approximation, the boundary SHEAR STRESS equations were obtained after neglecting the SECONDARY CURRENTS and assuming a constant EDDY VISCOSITY. In comparison with laboratory measurements, the first assumption overestimated the average bed stress by 20% but it underestimated the average sidewall SHEAR STRESS by -24%. The second approximation was then presented by introducing two lumped empirical correction factors for the effects of SECONDARY CURRENTS, variable EDDY VISCOSITY and other unexpected effects. Comparison between laboratory measurements and those from the second approximation, showed an excellent agreement (R2>0.993 and average relative error less than 1.2%) between them with experimental measurements over a wide range of width-depth ratios.

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APA: Copy

JAVID, S., & MOHAMMADI, M.A.. (2012). ESTIMATION OF SHEAR STRESS IN SMOOTH TRAPEZOIDAL OPEN-CHANNELS USING CONFORMAL MAPPING. WATER AND SOIL SCIENCE (AGRICULTURAL SCIENCE), 22(2), 17-26. SID. https://sid.ir/paper/147758/en

Vancouver: Copy

JAVID S., MOHAMMADI M.A.. ESTIMATION OF SHEAR STRESS IN SMOOTH TRAPEZOIDAL OPEN-CHANNELS USING CONFORMAL MAPPING. WATER AND SOIL SCIENCE (AGRICULTURAL SCIENCE)[Internet]. 2012;22(2):17-26. Available from: https://sid.ir/paper/147758/en

IEEE: Copy

S. JAVID, and M.A. MOHAMMADI, “ESTIMATION OF SHEAR STRESS IN SMOOTH TRAPEZOIDAL OPEN-CHANNELS USING CONFORMAL MAPPING,” WATER AND SOIL SCIENCE (AGRICULTURAL SCIENCE), vol. 22, no. 2, pp. 17–26, 2012, [Online]. Available: https://sid.ir/paper/147758/en

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