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Numerical treatment of activation energy for the three-dimensional flow of a cross magnetonanoliquid with variable conductivity

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Abstract

This research demonstrates the diverse characteristics of the cross fluid in the presence of Lorentz’s forces. Moreover, this work reviews the characteristics of variable diffusivity and variable conductivity. Mathematical modelling of the presented physical model is carried out in the Cartesian coordinate system and the formulated system of partial differential equations (PDEs) is simplified in ordinary differential equations (ODEs). Numerical algorithm leads to solution computations. Velocity, temperature and concentration are numerically analysed for the cross fluid. Outcomes of the current physical model are presented through graphical data and in tabular form. It is noted that variable conductivity and variable diffusivity significantly affect heat–mass transport mechanisms. Furthermore, graphical analysis reveals that the concentration of the cross nanofluid increase for increased values of variable diffusivity. Furthermore, this research reveals that concentration distribution is a reducing function of chemical reaction parameters.

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Authors and Affiliations

  1. Department of Mathematics, Islamia College, Peshawar, 25000, Pakistan

    S Muhammad, G Ali & S I A Shah

  2. Department of Mathematics, Quaid-i-Azam University, Islamabad, 44000, Pakistan

    M Irfan

  3. Department of Mathematics, Hazara University, Mansehra, 21300, Pakistan

    W A Khan, M Ali & F Sultan

Authors
  1. S Muhammad
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  2. G Ali
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  3. S I A Shah
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  4. M Irfan
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  5. W A Khan
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  6. M Ali
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  7. F Sultan
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Corresponding author

Correspondence to W A Khan.

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Muhammad, S., Ali, G., Shah, S.I.A. et al. Numerical treatment of activation energy for the three-dimensional flow of a cross magnetonanoliquid with variable conductivity. Pramana - J Phys 93, 40 (2019). https://doi.org/10.1007/s12043-019-1800-9

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  • DOI: https://doi.org/10.1007/s12043-019-1800-9

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