2018
DOI: 10.1061/(asce)ir.1943-4774.0001358
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Exact Solution of Optimum Hydraulic Power-Law Section with General Exponent Parameter

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Cited by 9 publications
(6 citation statements)
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“…Approximate solutions for the wetted perimeter in range of s∈ [1.5, 2] have been developed [17]. The approximate solution of the wetted perimeter presented by Han and Easa [21] for the range of 1.167 < s < 2 is only accurate for the shape factor a = 0.4 (they defined power-law section by y = ax k , where k = (s − 1) −1 ). Their solution is not accurate for other shape factors (for a = 0.5 and water surface width of 2 m, the relative error reaches up to 6.8% for s near 1.167).…”
Section: Complex Power-law Section (B ≠ 0)mentioning
confidence: 99%
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“…Approximate solutions for the wetted perimeter in range of s∈ [1.5, 2] have been developed [17]. The approximate solution of the wetted perimeter presented by Han and Easa [21] for the range of 1.167 < s < 2 is only accurate for the shape factor a = 0.4 (they defined power-law section by y = ax k , where k = (s − 1) −1 ). Their solution is not accurate for other shape factors (for a = 0.5 and water surface width of 2 m, the relative error reaches up to 6.8% for s near 1.167).…”
Section: Complex Power-law Section (B ≠ 0)mentioning
confidence: 99%
“…Recently, Han and Easa [21] and Chen et al [22] presented optimum hydraulic power-law sections using the Lagrange multiplier optimization method. In practice, sometimes open channel sections are constrained by side slope (when slope stability and geotechnical conditions are important), but, the optimum hydraulic section for a given side slope has not been solved by the authors.…”
Section: Introductionmentioning
confidence: 99%
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“…The new sections included polygonal section by Kurbanov and Khanov [23], trapezoidal-rectangular section by Abdulrahman [24], parabolic sides with horizontal bottom (HB) by Das [25], trapezoidal section with round corners by Froehlich [26], and two-segment parabolic sides with HB by Easa [27]. These sections have subsequently inspired the development of more new sections (2010-2018), such as semi-regular polygon by Vatankhah [28], multiple-segment linear sides by Easa [29], standard elliptic sides by Easa and Vatankhah [30], general elliptic side by Easa [31], and cubic and power-law (PL) sections by Han and Easa [32,33]. As noted, the trend of recent advances in section shape has been to introduce additional linear or curved elements, such as HB and round bottom corners, to improve discharge (flow rate) and maintenance.…”
Section: Section Familymentioning
confidence: 99%
“…Vatankhah [9] considered the relationship between the specific energy of a parabolic channel section and its depth and obtained the subcritical and supercritical depths analytically by solving a quartic equation. Han [10,11] used a complex function method and the undetermined Lagrange multiplier optimization algorithm to derive a theoretical solution for the hydraulic optimal section of a cubic parabola. Through a comparison, it was shown that the hydraulic performance of the cubic parabolic section was the best.…”
Section: Introductionmentioning
confidence: 99%