Water Infiltration From Periodic Trapezoidal Channels With Different Types of Root-Water Uptake

Solekhudin, Imam

doi:10.17654/ms100122029

Cited by 5 publications

(7 citation statements)

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“…This paper is a continuation of previous research [3,4]. We investigate solutions to a problem involving time dependent infiltration from periodic semi-circular channels with absorption by plant roots in a homogeneous soil.…”

Section: Introductionmentioning

confidence: 91%

“…where K is the hydraulic conductivity,  is water or moisture content in the soil,  is the suction potential, and S is the rootwater uptake function as in [3,4]. Function S is defined as…”

Section: Basic Equationmentioning

confidence: 99%

“…Problems involving water infiltration in homogeneous soils have been considered by a number of researchers, such as Batu, Clements et al, Solekhudin, Clements and Lobo [1][2][3][4][5]. Batu considered steady infiltration from flat channels [1].…”

Section: Introductionmentioning

confidence: 99%

“…In this study, influence of the impermeable layers to water flow in soil is investigated. Solekhudin [3,4] investigated steady infiltration from periodic channels with root-water uptake. Time-dependent infiltration from single channel was studied by Clements and Lobo [5].…”

Section: Introductionmentioning

confidence: 99%

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Time-dependent Infiltration from Periodic Semi-Circular Channels with Two Different Types of Root-Water Uptake

Solekhudin¹

2018

Proceedings of the 1st Annual International Conference on Mathematics, Science, and Education (ICoMSE 2017)

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In this study, time dependent infiltration problems from periodic semicircular channels with root-water uptake function are considered. The considered problems are governed by Richards equation. To scrutinize the equation more conveniently, the equation was transformed into a modified Helmholtz equation using a set of transformations involving Laplace transform. A Laplace transform dual reciprocity method (LTDRM) with a predictor-corrector scheme, which was used to solve the modified Helmholtz equation numerically. Using the solution obtained, numerical values of amount of water absorbed by the different plant roots distribution can be computed.

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Section: Introductionmentioning

confidence: 91%

Section: Basic Equationmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Time-dependent Infiltration from Periodic Semi-Circular Channels with Two Different Types of Root-Water Uptake

Solekhudin¹

2018

Proceedings of the 1st Annual International Conference on Mathematics, Science, and Education (ICoMSE 2017)

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“…Unlike previous researchers, Solekhudin and Ang (2013), Solekhudin (2016Solekhudin ( , 2018 applied Dual Reciprocity Boundary Element Methods (DRBEM) to the problem of infiltration from periodic irrigation canals. Solekhudin and Ang (2013) proposed DRBEM is tested on problems involving infiltration from different types of periodic channels in a homogeneous soil.…”

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confidence: 99%

Matric Flux Potential in Time Independent Infiltration Problems from a Single Triangular and a Trapezoidal Irrigation Channel

Munadi,

Rokhman,

Oktaviani

et al. 2024

JTAM

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In this paper, steady infiltration problems into a homogeneous soil from a single triangular and trapezoidal irrigation channel are considered. The governing equation is Richard's equation that represents the movement of water in unsaturated soil. It is a non-linear equation and can be solved by linearizing to become a modified Helmholtz equation. Dual Reciprocity Boundary Element Methods (DRBEM) are used in this study to numerically solve the modified Helmholtz equation. Therefore, by using a provided solution, the numerical Matric Flux Potential (MFP) is calculated. This method was applied to the homogeneous soil problem of stationer infiltration from triangular and trapezoidal single irrigation. Both numerical solutions were compared. The result show that the MFP value from the triangular irrigation is higher than the trapezoidal irrigation. This indicates that content water from the triangular irrigation channel is higher than the trapezoidal irrigation channel.

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Steady Infiltration in Heterogeneous Soil

Solekhudin

2018

J. Phys.: Conf. Ser.

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Water Infiltration From Periodic Trapezoidal Channels With Different Types of Root-Water Uptake

Cited by 5 publications

References 0 publications

Time-dependent Infiltration from Periodic Semi-Circular Channels with Two Different Types of Root-Water Uptake

Time-dependent Infiltration from Periodic Semi-Circular Channels with Two Different Types of Root-Water Uptake

Matric Flux Potential in Time Independent Infiltration Problems from a Single Triangular and a Trapezoidal Irrigation Channel

Steady Infiltration in Heterogeneous Soil

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