AN APPROXIMATE ANALYTICAL SOLUTION OF ONE-DIMENSIONAL GROUNDWATER RECHARGE BY SPREADING

The present paper discusses the problem of one dimensional groundwater recharge in the vertical direction. The groundwater is recharged by spreading of water in vertical direction and the moisture content of soil increases. On the basis of linear and nonlinear conductivity and diffusivity functions,...

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Bibliographic Details
Published inTWMS journal of applied and engineering mathematics Vol. 9; no. 4; p. 838
Main Authors Patel, M.A, Desai, N.B
Format Journal Article
LanguageEnglish
Published Istanbul Turkic World Mathematical Society 01.01.2019
Elman Hasanoglu
Subjects
Differential equations
Electric properties
Environmental engineering
Exact solutions
Groundwater
Groundwater recharge
Hydrology
Moisture content
Nonlinear differential equations
Nonlinear equations
Partial differential equations
Soil mechanics
Soil moisture
Vadose zone
Water
India
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Summary:The present paper discusses the problem of one dimensional groundwater recharge in the vertical direction. The groundwater is recharged by spreading of water in vertical direction and the moisture content of soil increases. On the basis of linear and nonlinear conductivity and diffusivity functions, three cases are considered for Brooks-Corey model. The governing nonlinear partial differential equations has been solved by homotopy analysis method. The proper value of convergence control parameter for convergent solution has been chosen from [c.sub.0]-curve. The numerical and graphical solutions are presented. Keywords: Groundwater; Moisture content; HAM. AMS Subject Classification: 76S05, 65Nxx, 74H10
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ISSN:2146-1147
2146-1147