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Title	CHEBYSHEV SOLUTION AS AID IN COMPUTING GVF BY STANDARD STEP METHOD. TECHNICAL NOTE
Accession No	00795780
Authors	Dey, S
Journal Title	Journal of Irrigation and Drainage Engineering Vol. 126 No. 4
Corp. Authors / Publisher	American Society of Civil Engineers ; American Society of Civil Engineers
Publication Date	20000700
Description	p. 271-274; Appendices(2); References(11); Tables(1)
Languages	English
Abstract	The standard step method is commonly used to compute free surface profiles in gradually varied flow (GVF) through open channels. In this study, generalized numerical solutions in the Chebyshev form are presented for the standard step method to compute the free surface profiles in GVF without using look-up tables, interpolation procedures, or simplified assumptions concerning the cross-section geometry. The solutions are obtained using the flow resistance equations of Manning, Chezy, and Colebrook-White. The necessary parameters of some particular cases, namely rectangular, triangular, trapezoidal, circular, and exponential channels, are furnished. The use of the Chebyshev approximation has the advantage of requiring less iteration than the Newton-Raphson approximation.
TRT Terms	Approximation (Mathematics) ; Channel flow ; Flow resistance ; Free surface ; Iterative methods ; Mathematical models ; Nonuniform flow ; Open channels ; Subsonic flow ; Supersonic flow
Other Terms	Chebyshev approximation; Newton-Raphson approximation
Subject Areas	H22 HYDROLOGY AND HYDRAULICS; I26 Water Run-off - Freeze-thaw
Availability	American Society of Civil Engineers Find a library where document is available Order Document: http://worldcat.org/issn/07339437
TRIS Files	HRIS
Database	TRIS Online

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