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Conjugate-mixed convection of nanofluid flow over an inclined flat plate in porous media

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  • Khademi, Ramin
  • Razminia, Abolhassan
  • Shiryaev, Vladimir I.

Abstract

In this work, we address the issue of numerical analysis of laminar, steady, upward conjugate mixed convection flow of nanofluid (water/Cu) over an inclined flat plate embedded in a porous medium in presence of a transverse magnetic field. The non-Darcy’s law is applied in the mathematical formulation for representing the nanofluid motion inside the porous media. The nonlinear formulation governing equations are transformed into a non-dimensional form by a group of non-similar transformations, and the system numerically solved using Differential Quadrature Method (DQM). Our results were compared with those computed by three different methods, and an excellent agreement was found. The temperature distribution of solid-nanofluid interface as well as the variations of velocity and of temperature within the boundary layers for different values of effective parameters are presented and discussed.

Suggested Citation

  • Khademi, Ramin & Razminia, Abolhassan & Shiryaev, Vladimir I., 2020. "Conjugate-mixed convection of nanofluid flow over an inclined flat plate in porous media," Applied Mathematics and Computation, Elsevier, vol. 366(C).
    • Handle: RePEc:eee:apmaco:v:366:y:2020:i:c:s0096300319307532
    DOI: 10.1016/j.amc.2019.124761
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    References listed on IDEAS

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    1. Purohit, Nilesh & Jakhar, Sanjeev & Gullo, Paride & Dasgupta, Mani Sankar, 2018. "Heat transfer and entropy generation analysis of alumina/water nanofluid in a flat plate PV/T collector under equal pumping power comparison criterion," Renewable Energy, Elsevier, vol. 120(C), pages 14-22.
    2. Jawad Raza & Azizah Mohd Rohni & Zurni Omar, 2016. "Multiple Solutions of Mixed Convective MHD Casson Fluid Flow in a Channel," Journal of Applied Mathematics, Hindawi, vol. 2016, pages 1-10, September.
    3. Pal, S.K. & Bhattacharyya, S. & Pop, I., 2019. "A numerical study on non-homogeneous model for the conjugate-mixed convection of a Cu-water nanofluid in an enclosure with thick wavy wall," Applied Mathematics and Computation, Elsevier, vol. 356(C), pages 219-234.
    4. Zhou, Ruiwen & Ling, Xiang & Peng, Hao & Yang, Lin, 2018. "Thermal characteristics of the combined flat plate heat receiver in solar power tower plant," Energy, Elsevier, vol. 165(PA), pages 275-289.
    5. Khan, A.U. & Hussain, S.T. & Nadeem, S., 2019. "Existence and stability of heat and fluid flow in the presence of nanoparticles along a curved surface by mean of dual nature solution," Applied Mathematics and Computation, Elsevier, vol. 353(C), pages 66-81.
    6. Sheremet, Mikhail A. & Revnic, Cornelia & Pop, Ioan, 2017. "Free convection in a porous wavy cavity filled with a nanofluid using Buongiorno's mathematical model with thermal dispersion effect," Applied Mathematics and Computation, Elsevier, vol. 299(C), pages 1-15.
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    Cited by:

    1. Li, Xiang & Yu, Peng & Niu, Xiao-Dong & Li, De-Cai & Yamaguchi, Hiroshi, 2021. "A magnetic field coupling lattice Boltzmann model and its application on the merging process of multiple-ferrofluid-droplet system," Applied Mathematics and Computation, Elsevier, vol. 393(C).

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