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A Study of Non-Newtonian Nanofluid Saturated in a Porous Medium Based on Modified Darcy-Maxwell Model

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Cognitive Informatics and Soft Computing

Part of the book series: Lecture Notes in Networks and Systems ((LNNS,volume 375))

Abstract

An investigation is made to deal with linear and non-linear thermal instability on the onset of convection in a horizontal layer of Darcy-Maxwell nanofluid. A macroscopic filtration law known as modified Darcy-Maxwell model relevant to non-Newtonian behavior of real fluids in porous medium has been considered. The effects of Brownian motion and thermophoresis have been incorporated. The boundaries are assumed to be horizontal planes which are impermeable and perfectly thermally conducting. The linear stability analysis is used to investigate as to how the concentration of nanoparticles, modified Lewis number, diffusion coefficients and porosity influence the Rayleigh number for the onset of stationary and oscillatory convections. Using the non-linear stability analysis, the variations of Nusselt number and concentration Nusselt number have been analyzed for different physical parameters such as concentration Rayleigh number, relaxation parameter, porosity, heat capacity ratio, Lewis number, and modified diffusion coefficient.

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Author information

Authors and Affiliations

  1. Department of Mathematics, Chaudhry Charan Singh University, Meerut, 250004, Uttar Pradesh, India

    Reema Singh & Jaimala Bishnoi

  2. Shobhit Institute of Engineering and Technology (Deemed To Be University), SBAS, Meerut, 250110, Uttar Pradesh, India

    Vipin Kumar Tyagi

Authors
  1. Reema Singh
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  2. Vipin Kumar Tyagi
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  3. Jaimala Bishnoi
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Corresponding author

Correspondence to Vipin Kumar Tyagi .

Editor information

Editors and Affiliations

  1. School of Computer Engineering, KIIT Deemed to be University, Bhubaneswar, India

    Pradeep Kumar Mallick

  2. KIET Group of Institutions, Delhi-NCR, Ghaziabad, India

    Akash Kumar Bhoi

  3. Wireless Networks Research Laboratory, National Research Council, Institute of Information Science and Technologies, Pisa, Italy

    Paolo Barsocchi

  4. Department of Teleinformatics Engineering, Federal University of Ceará, Fortaleza/CE, Brazil

    Victor Hugo C. de Albuquerque

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Singh, R., Tyagi, V.K., Bishnoi, J. (2022). A Study of Non-Newtonian Nanofluid Saturated in a Porous Medium Based on Modified Darcy-Maxwell Model. In: Mallick, P.K., Bhoi, A.K., Barsocchi, P., de Albuquerque, V.H.C. (eds) Cognitive Informatics and Soft Computing. Lecture Notes in Networks and Systems, vol 375. Springer, Singapore. https://doi.org/10.1007/978-981-16-8763-1_21

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