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Lie group analysis and robust computational approach to examine mass transport process using Jeffrey fluid model

Author

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  • Bhatti, Muhammad Mubashir
  • Jun, Shen
  • Khalique, Chaudry Masood
  • Shahid, Anwar
  • Fasheng, Liu
  • Mohamed, Mohamed S.

Abstract

This article deals with the chemically reactive mass transport mechanism on the Jeffrey fluid model in the presence of extrinsic magnetic impact. The fluid is moving through a permeable medium. Lie group transformations are used to formulate the mathematical modeling of momentum and concentration equations. A robust numerical technique known as successive linearization approach (SLM) is used to solve the nonlinear coupled formulated equations. This technique shows more efficient results compared with other similar methods. The numerical results are plotted against all the leading parameters and discussed with graphs and tables. A numerical comparison is also made between the proposed technique and Bvp4c (built-in command in Matlab)

Suggested Citation

  • Bhatti, Muhammad Mubashir & Jun, Shen & Khalique, Chaudry Masood & Shahid, Anwar & Fasheng, Liu & Mohamed, Mohamed S., 2022. "Lie group analysis and robust computational approach to examine mass transport process using Jeffrey fluid model," Applied Mathematics and Computation, Elsevier, vol. 421(C).
    • Handle: RePEc:eee:apmaco:v:421:y:2022:i:c:s0096300322000224
    DOI: 10.1016/j.amc.2022.126936
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    References listed on IDEAS

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    1. Sohail, Muhammad & Naz, Rahila & Abdelsalam, Sara I., 2020. "Application of non-Fourier double diffusions theories to the boundary-layer flow of a yield stress exhibiting fluid model," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 537(C).
    2. A. M. Abd-Alla & S. M. Abo-Dahab & Maram M. Albalawi, 2014. "Magnetic Field and Gravity Effects on Peristaltic Transport of a Jeffrey Fluid in an Asymmetric Channel," Abstract and Applied Analysis, Hindawi, vol. 2014, pages 1-11, April.
    3. Middleton, Richard S. & Carey, J. William & Currier, Robert P. & Hyman, Jeffrey D. & Kang, Qinjun & Karra, Satish & Jiménez-Martínez, Joaquín & Porter, Mark L. & Viswanathan, Hari S., 2015. "Shale gas and non-aqueous fracturing fluids: Opportunities and challenges for supercritical CO2," Applied Energy, Elsevier, vol. 147(C), pages 500-509.
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    Cited by:

    1. Shahid, A. & Huang, H.L. & Bhatti, M.M. & Marin, M., 2022. "Numerical computation of magnetized bioconvection nanofluid flow with temperature-dependent viscosity and Arrhenius kinetic," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 200(C), pages 377-392.
    2. Rosa, M. & Gandarias, M.L. & Niño-López, A. & Chulián, S., 2023. "Exact solutions through symmetry reductions for a high-grade brain tumor model with response to hypoxia," Chaos, Solitons & Fractals, Elsevier, vol. 171(C).

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