ANALYTICAL METHOD IN SEEPAGE COMPUTATION FROM A CANAL WITH A SEMI-ELLIPTIC SECTION USING CONFORMAL MAPPING

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MOJTAHEDI S.H.; FAGHFOUR MAGHREBI M.

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Journal: Iranian Journal of Irrigation and Drainage Year:2010 | Volume:4 | Issue:1 Page(s): 22-30

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Information Journal Paper

Title

ANALYTICAL METHOD IN SEEPAGE COMPUTATION FROM A CANAL WITH A SEMI-ELLIPTIC SECTION USING CONFORMAL MAPPING

Author(s)

MOJTAHEDI S.H. | FAGHFOUR MAGHREBI M. | Issue Writer Certificate

Keywords

SEEPAGEQ2

CONFORMAL MAPPINGQ3

INVERSE METHODQ2

DRAINAGE LAYERQ3

PHREATIC LINEQ3

Abstract

In this article the analytical solution has been presented for computing the unconfined steady state SEEPAGE from a curved canal with semi-elliptic cross section. The analytical solution of SEEPAGE from curved canals has not generalized because of the difficulty of CONFORMAL MAPPING of their cross sections. In the present study, velocity hodograph and Schwarz-Christoffel transformation have been used. Also the INVERSE METHOD is used to obtain the mapping of canal cross section profile in which the profile boundary of actual canal cross section is mapped along a circle in the velocity hodograph plane. Computations are performed for the steady SEEPAGE from semi- elliptic canal in which a DRAINAGE LAYER has lied in limited depth below the bed of the canal. From this method, one could obtain the quantity of SEEPAGE discharge with the assumption of resting the DRAINAGE LAYER at infinite depth. From the presented solution also some of the items such as, SEEPAGE discharge, parametric equations for presenting the loci of PHREATIC LINE and the quantity of SEEPAGE width at DRAINAGE LAYER could be obtained. Moreover, the accuracy of INVERSE METHOD in comparison to the analytical methods of other researchers such as Kozeny is acceptable and does not have the limitation of Kozeny's method, in other words, Kozeny's method is impracticable in canal cross sections with small ratio of free water surface width to depth.

Cites

NUMERICAL ESTIMATING OF EARTH CHANNEL SEEPAGE IN NZLOO AREA OF UROMYE PROVINCE AND CORRECTION OF EMPIRICAL RELATION CONSTANT COEFFICIENT

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APA: Copy

MOJTAHEDI, S.H., & FAGHFOUR MAGHREBI, M.. (2010). ANALYTICAL METHOD IN SEEPAGE COMPUTATION FROM A CANAL WITH A SEMI-ELLIPTIC SECTION USING CONFORMAL MAPPING. IRANIAN JOURNAL OF IRRIGATION AND DRAINAGE, 4(1), 22-30. SID. https://sid.ir/paper/131777/en

Vancouver: Copy

MOJTAHEDI S.H., FAGHFOUR MAGHREBI M.. ANALYTICAL METHOD IN SEEPAGE COMPUTATION FROM A CANAL WITH A SEMI-ELLIPTIC SECTION USING CONFORMAL MAPPING. IRANIAN JOURNAL OF IRRIGATION AND DRAINAGE[Internet]. 2010;4(1):22-30. Available from: https://sid.ir/paper/131777/en

IEEE: Copy

S.H. MOJTAHEDI, and M. FAGHFOUR MAGHREBI, “ANALYTICAL METHOD IN SEEPAGE COMPUTATION FROM A CANAL WITH A SEMI-ELLIPTIC SECTION USING CONFORMAL MAPPING,” IRANIAN JOURNAL OF IRRIGATION AND DRAINAGE, vol. 4, no. 1, pp. 22–30, 2010, [Online]. Available: https://sid.ir/paper/131777/en

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