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Features of Cattaneo-Christov double diffusion theory on the flow of non-Newtonian Oldroyd-B nanofluid with Joule heating

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Abstract

This research deals the flow and heat transfer of the upper convected Oldroyd-B fluid over a rotating disk. The magnetic field is applied normal to the disk. With the presence of nanoparticle, the Cattaneo–Christov theory is used rather than classical Fourier’s and Fick’s laws for the study of heat and mass transport mechanisms. The Joule heating term is also added into heat equation. This theory predicts the influence of thermal and solutal relaxation times on the boundary layers. Von Kármán similarity approach is utilized to convert the partial differential equations into ordinary differential equations. A homotopic approach for obtaining the analytical series solutions is carried out. The graphical results are obtained for velocity fields, temperature and concentration distributions. Comparisons are made for limiting case between numerical and analytical solutions and found in good agreement. Results reveal that the thermal and solutal relaxation time parameters are affected the temperature and concentration distributions in decreasing manner, respectively.

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Correspondence to Abdul Hafeez.

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Hafeez, A., Khan, M., Ahmed, A. et al. Features of Cattaneo-Christov double diffusion theory on the flow of non-Newtonian Oldroyd-B nanofluid with Joule heating. Appl Nanosci 12, 265–272 (2022). https://doi.org/10.1007/s13204-020-01600-x

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  • DOI: https://doi.org/10.1007/s13204-020-01600-x

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