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Interaction due to various sources in saturated porous media with incompressible fluid

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Abstract

The disturbance due to mechanical and thermal sources in saturated porous media with incompressible fluid for two-dimensional axi-symmetric problem is investigated. The Laplace and Hankel transforms techniques are used to investigate the problem. The concentrated source and source over circular region have been taken to show the utility of the approach. The transformed components of displacement, stress and pore pressure are obtained. Numerical inversion techniques are used to obtain the resulting quantities in the physical domain and the effect of porosity is shown on the resulting quantities. All the field quantities are found to be sensitive towards the porosity parameters. It is observed that porosity parameters have both increasing and decreasing effect on the numerical values of the physical quantities. Also the values of the physical quantities are affected by the different boundaries. A special case of interest is also deduced.

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Authors and Affiliations

  1. Department of Mathematics, Kurukshetra University, Kurukshetra, Haryana, India

    Rajneesh Kumar

  2. Department of Mathematics, Faculty of Science and Arts-Khulais, University of Jeddah, Jeddah, Saudi Arabia

    Ibrahim A. Abbas

  3. Nonlinear Analysis and Applied Mathematics Research Group (NAAM), Department of Mathematics, King Abdulaziz University, Jeddah, Saudi Arabia

    Ibrahim A. Abbas

  4. Department of Mathematics, Faculty of Science, Sohag University, Sohag, Egypt

    Ibrahim A. Abbas

Authors
  1. Rajneesh Kumar
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  2. Ibrahim A. Abbas
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Correspondence to Rajneesh Kumar.

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Kumar, R., Abbas, I.A. Interaction due to various sources in saturated porous media with incompressible fluid. J. Cent. South Univ. 23, 1232–1242 (2016). https://doi.org/10.1007/s11771-016-0373-8

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  • DOI: https://doi.org/10.1007/s11771-016-0373-8

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