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Unsteady electro-osmotic thermal convection of a reactive third-grade fluid with exothermic reaction in a porous medium saturated micro-channel

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Abstract

The study investigates the transient dynamics of a third-grade fluid, capable of undergoing exothermic reactions, in a two-dimensional rectangular micro-channel. The combined effects of the adverse pressure gradients and electro-osmotic forces constitute the primary flow drivers. In addition to exothermic reactions, the system if also subjected to joule heating and convective cooling at the micro-channel boundaries. Newton’s law of cooling and Arrhenius kinetics are employed to model the boundary-cooling and exothermic-reactions respectively. The temperature-dependent fluid viscosity is modelled via a Nahme-type law. It is assumed that the area in between the micro-channels is a porous material with constant permeability. Computational solutions (implemented on the MATLAB software) are employed for the non-homogeneous partial differential equations for temperature and velocity. These computational solutions are developed from efficient, convergent, and unconditionally stable, semi-implicit finite difference methods. In contrast, the linearized Poisson–Boltzmann equation is solved analytically. The sensitivity of the field variables to variations in the various flow parameters are explored graphically and discussed qualitatively.

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Acknowledgements

The authors thank the KKU research unit for the financial and administrative support under Grant Number 574 for year 44.

Author information

Authors and Affiliations

  1. Department of Mechanical and Materials Engineering, Universiti Kebangsaan Malaysia, 43600, Bangi, Selangor, Malaysia

    Idrees Khan

  2. Centre for Research in Computational and Applied Mechanics, University of Cape Town, Rondebosch, 7701, South Africa

    T. Chinyoka

  3. DoST, Directorate General of Science & Technology, Khyber Pakhtunkhwa, 25000, Peshawar, Pakistan

    Taza Gul

  4. Department of Basic Sciences, Preparatory Year Deanship King Faisal University, Al-Ahsa, Saudi Arabia

    Safyan Mukhtar

  5. Department of Mathematics and Statistics College of Science, King Faisal University, P. O. Box 400, 31982, Al-Ahsa, Saudi Arabia

    Ishtiaq Ali

  6. Department of Mathematics, College of Sciences, King Khalid University, 61413, Abha, Saudi Arabia

    Taseer Muhammad

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Correspondence to Taza Gul.

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Khan, I., Chinyoka, T., Gul, T. et al. Unsteady electro-osmotic thermal convection of a reactive third-grade fluid with exothermic reaction in a porous medium saturated micro-channel. J Therm Anal Calorim 149, 5457–5481 (2024). https://doi.org/10.1007/s10973-024-13116-5

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