Pemodelan Matematika Infiltrasi Air pada Saluran Irigasi Alur
DOI:
https://doi.org/10.15642/mantik.2017.3.1.23-29Keywords:
furrow irrigation, infiltration, modified Helmholtz equationAbstract
Water is one of the main necessity of agricultural activities, because without enough water agricultural crops will not be produced optimally. The way to insufficient water in agricultural crops is irrigation. One of the irrigation methods which is used on agriculture in the world is furrow irrigation method. Water gets into the soil from the bottom of the furrow and furrow’s wall towards the root zone of the plants. The complexity of the water infiltration process in the ground makes infiltration analysis by laboratory experiment difficult to do and needs substantial cost. The alternative way which can do is with mathematical modeling. This paper discusses about mathematical modeling of water infiltration in furrow irrigation channel trapezoidal in shape. This mathematical modeling is shaped boundary condition problem with a cross section of a closed and limited line of irrigation. Governing equation obtanined from Richard equation which then transformed using Kirchoff transformation and non dimensional variable into the modified Helmholtz equation. While, the boundary condition is shaped mixture Neuman and Robin boundary condition.
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[2] Amoozegar,et al., 1984, Design Nomographs for Trickle Irrigation System, J of Irr.and Drainage Eng., 110, pp. 107-120.
[3] Ang, Whye-Teong, 2007, A Beginners Course in Boundary Element Methods, Universal Publishers, Florida.
[4] Batu, V, 1978, Steady Ilfiltration from Single and Periodik Strip Source, Soil Sci.Soc. Am. J, 42, pp. 544-549.
[5] Bos, M.G., ell., 2008, Water Requirements for Irrigation and Environment, Spinger, New York.
[6] Burton, Martin, 2010, Irrigation Management : Principles and Practices, CABI, Wallingford.
[7] Gardner, W.R., 1958, Some Steady State Solutions of the Unsaturated Moisture Flow Equation with Application to Evaporation from a Water Table, Soil Science, 85: 228-232.
[8] Hillel, Daniel, 2004, Introduction to Environmental Soil Physics, Universal Elsevier Science, San Diego.
[9] Katsikadelis, Jhon T., 2002, Boundary Element : Theory and Applications, Elsevier Science, Oxford.
[10] Lobo, Maria, 2008, Dual Reciprocity Boundary Element Methods for the Solution of a Class of Ilfiltration Problems, Faculty of Engineering, Coputer and Mathematical Sciences, University of Adelaide, Doctor Disertation.
[11] Republik Indonesia, 2006, Peraturan Pemerintah Tentang Irigasi, Sekretariat Negara, Jakarta.
[12] Solekhudin, Imam dan Ang, K.C., 2012, Suction Potential and Water Absorption from Periodic Chanel in Different Types of Homogeneous Soil, Electronic Jurnal of Boundary Element, 10, pp. 42-55.
[13] Solekhudin, Imam, 2013, Dual Reciprocity Boundary Element Methods for Water Ilfiltration Problems in Irrigation, National Institude of Education, Nangyang Technological University, Doctor Dissertation.
[14] Warrick, A.W., 2002, Soil Physics Companion, CRC Press, Washington D.C.
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