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Mathematical modeling of electrothermal couple stress nanofluid flow and entropy in a porous microchannel under injection process

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  • Mukherjee, S.
  • Shit, G.C.

Abstract

We examine the effects of ion diffusion coefficient on steady electroosmotic couple stress nanofluid flow and heat transfer in a porous microchannel bounded by two permeable beds. The study considers the nanofluid injection process through porous beds. The combined effects of ion diffusivity and injected nanofluid velocity on EDL (Electric double layer) thickness are analytically expressed. The differential transform method (DTM) is used to solve the flow equations. The DTM solution is then compared with the exact analytical solution of velocity, Zeta potential function and a square averaged residual analysis is conducted. These comparisons show excellent matching. We observe that the enhancement of ion diffusion coefficient increases nanofluid velocity at the edge of EDL but diminishes with intrinsic couple stress. The bulk nanofluid flow rate is found to follow a quadratic like relationship with the couple stress parameter. We have investigated the nanofluid temperature and nanoparticle concentration distribution in microchannel for variations of the diffusive Reynolds number, porous permeability parameter and couple stress parameter. The nanofluid temperature is found to increase with an enhancement of ion diffusion coefficient, which is related with experimental results observed by Kong et al. (Phys. Chem. Chem. Phys. 19 (2017) 7678) for NaCl electrolyte solution confined in a graphene nanochannel. Moreover, the nanofluid temperature decreases with enhancement of both porous permeability of the medium and couple stress parameter.

Suggested Citation

  • Mukherjee, S. & Shit, G.C., 2022. "Mathematical modeling of electrothermal couple stress nanofluid flow and entropy in a porous microchannel under injection process," Applied Mathematics and Computation, Elsevier, vol. 426(C).
    • Handle: RePEc:eee:apmaco:v:426:y:2022:i:c:s0096300322001941
    DOI: 10.1016/j.amc.2022.127110
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    References listed on IDEAS

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    1. Ranjit, N.K. & Shit, G.C., 2017. "Joule heating effects on electromagnetohydrodynamic flow through a peristaltically induced micro-channel with different zeta potential and wall slip," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 482(C), pages 458-476.
    2. Sandberg, M. & Moshfegh, B., 1996. "Investigation of fluid flow and heat transfer in a vertical channel heated from one side by PV elements, part II - Experimental study," Renewable Energy, Elsevier, vol. 8(1), pages 254-258.
    3. Moshfegh, B. & Sandberg, M., 1996. "Investigation of fluid flow and heat transfer in a vertical channel heated from one side by PV elements, part I - Numerical Study," Renewable Energy, Elsevier, vol. 8(1), pages 248-253.
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