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Special Topics & Reviews in Porous Media: An International Journal
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ANALYTICAL STUDY OF TIME FRACTIONAL FRACTURED POROUS MEDIUM EQUATION UNDER THE EFFECT OF MAGNETIC FIELD

Том 10, Выпуск 2, 2019, pp. 99-113
DOI: 10.1615/SpecialTopicsRevPorousMedia.2018026298
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V. P. Gohil
Department of Applied Mathematics and Humanities, Sardar Vallabhbhai National Institute of Technology, Surat, Ichhanath, Surat 395007, Gujarat, India
Ramakanta Meher
Department of Applied Mathematics and Humanities, Sardar Vallabhbhai National Institute of Technology, Surat, Ichhanath, Surat 395007, Gujarat, India

Краткое описание

In this paper, a time fractional fractured porous medium equation is considered to investigate the anomalous behavior of saturation and the recovery rate of the reservoir with the consideration of magnetic field effect due to the presence of magnetic fluid particles in injected fluids. The homotopy analysis method is used to derive an expression for finding the saturation profiles of injected fluid with and without considering the magnetic field effect and with some interesting choices of parameters to study the recovery rate of the reservoir.

Ключевые слова: time fractional PDE, counter-current imbibition, homotopy analysis method
ЦИТИРОВАНО В

  1. Ding Xiao-Li, Nieto Juan J., Analysis and Numerical Solutions for Fractional Stochastic Evolution Equations With Almost Sectorial Operators, Journal of Computational and Nonlinear Dynamics, 14, 9, 2019. Crossref

  2. Kesarwani Juhi, Meher Ramakanta, Computational study of time-fractional porous medium equation arising in fluid flow through a water-wet porous media, International Journal of Computational Materials Science and Engineering, 09, 02, 2020. Crossref

  3. Meher Ramakanta, Gohil V. P., Modelling of counter current imbibition phenomenon in two-phase fluid flows through fractured heterogeneous porous media under the effect of magnetic field, International Journal of Computational Materials Science and Engineering, 09, 02, 2020. Crossref

  4. Kesarwani Juhi, Meher Ramakanta, Numerical study of forced imbibition phenomenon in fluid flow through a water-wet porous media, International Journal of Computational Materials Science and Engineering, 10, 03, 2021. Crossref

  5. Meher R., Kesarwani J., Avazzadeh Z., Nikan O., Numerical treatment of temporal-fractional porous medium model occurring in fractured media, Journal of Ocean Engineering and Science, 2022. Crossref

  6. Verma Lalchand, Meher Ramakanta, Solution for generalized fuzzy time-fractional Fisher’s equation using a robust fuzzy analytical approach, Journal of Ocean Engineering and Science, 2022. Crossref

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ELECTROTHERMO-RHEOLOGICAL PERISTALSIS: INVESTIGATING VELOCITY SLIP AND MODIFIED DARCY’S POROSITY EFFECTS Saima Noreen, Rabia Muqaddar, Haitao Qi EFFECT OF VARIABLE GRAVITY ON THERMAL CONVECTION IN ROTATING JEFFREY NANOFLUID: DARCY−BRINKMAN MODEL Deepak Bains, Pushap Lata Sharma, Gian C. Rana ELECTROTHERMOSOLUTAL CONVECTION IN NANOFLUID SATURATING POROUS MEDIUM Pushap Lata Sharma, Mohini Kapalta

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